I Need Help ASAP!!!!!!!!!!
The difference in simple interest at 13% and 12% p.a. of a sum in one year is $ 110. Then the sum is (a) $11,000 (b) $13,000 (c) $15000 (d) 12000​

Answers

Answer 1

Based on the information provided, it can be concluded the sum is $11,000.

How to know what is the sum?

To know what is the sum, let's calculate the difference in the interest rate:

13% - 12% = 1%

This means the difference between the two interest rates presented is 1%. Based on this, let's calculate the 1% of the sums given:

11,000 x 0.01 = 11013,000 x 0.01 = 13015,000 x 0.01 = 15012,000 x 0.01 = 120

Based on the above, the correct sum is $11,000 because only in this one 1%  is equivalent to $110.

Learn more about percentages in https://brainly.com/question/29306119

#SPJ1


Related Questions

a rectangle is meters long and meters wide. the area of the rectangle is square meters. the solution is

Answers

Multiplying the length and width together, we get 3m x 4m = 12m². This means that the area of the rectangle is 12 square meters.

Area = Length x Width

Area = 3m x 4m

Area = 12m²

To solve for the area of a rectangle, you will need to use the formula Area = Length x Width. In this example, the length of the rectangle is 3 meters and the width is 4 meters. To calculate the area of the rectangle, you will need to multiply the length and width together. 3m x 4m = 12m². Therefore, the area of the rectangle is 12 square meters.

The area of a rectangle is calculated by multiplying the length and width of the rectangle together. The formula used to calculate the area of a rectangle is Area = Length x Width. To put this formula into practice, lets use the example of a rectangle that is 3 meters long and 4 meters wide. Multiplying the length and width together, we get 3m x 4m = 12m². This means that the area of the rectangle is 12 square meters. This formula can be used for any rectangle, as long as the length and width are known. Knowing the area of a rectangle can be useful for many purposes, such as calculating the amount of paint or carpeting needed to cover the surface area of the rectangle.

learn more about area here

https://brainly.com/question/27683633

#SPJ4

solid shapes are regular when all the faces are eaqual which 3d shapes is regular?
a) cylinder
b) cube
c) cuboid

Answers

A solid shape is considered to be regular if all of its faces are congruent, meaning they have the same shape and size. In the context of three-dimensional shapes, there are several examples of regular solid shapes, including the cylinder, cube, and cuboid.

A) Cylinder: A cylinder is a solid shape with two parallel, congruent circular bases connected by a lateral surface. All of the lateral faces of a cylinder are parallelograms, and the circular bases have the same shape and size, making the cylinder a regular solid shape.

B) Cube: A cube is a regular solid shape with six congruent square faces. All of the faces meet at right angles, and each face is parallel to the opposite face, making the cube a regular solid shape.

C) Cuboid: A cuboid is a solid shape with six rectangular faces. The opposite faces of a cuboid are congruent rectangles, and all of the faces meet at right angles, making the cuboid a regular solid shape.

In conclusion, the cube and the cuboid are regular solid shapes because all of their faces are congruent, while the cylinder is a regular solid shape because all of its lateral faces are congruent parallelograms and its bases have the same shape and size. These regular solid shapes are useful in geometry and provide a foundation for understanding the properties of more complex solid shapes.

To know more about solid shape: https://brainly.com/question/21173778

#SPJ4

in a bacteria growing experiment, a biologist observes that the number of bacteria in a certain culture triples every 4 hourse. after 12 hours, it is estimated that there are 1 million bacteria in the culture. what is the doubling time for the population?

Answers

The bacteria's population increases exponentially, and its equation is

P(t) = P[tex]_{0}[/tex]e[tex]^{kt}[/tex]

Where,

P[tex]_{o}[/tex] is the initial population t is the number of hours.

k is the growth rate.

It is given that the population of the bacteria after one hour triples itself. i.e

P(1)=3P[tex]_{o}[/tex]

3P[tex]_{o}[/tex]=Pe[tex]k^{(l)}[/tex]

3=e[tex]^{k}[/tex]

In 3 = In e[tex]^{k}[/tex]

In 3=k ln e

In 3 = k(1)

k = ln (3)

Thus, the rate of growth is k= ln (3)

Substitute k = ln (3) in the equation P(t) = P[tex]_{o}[/tex]e[tex]^{kt}[/tex].

P(t) = P[tex]_{o}[/tex]e[tex]tln^{(3)}[/tex]

It is given that there are 1 million bacteria after 5 hours. i.e. P(5)=10,00,000

P(5) = P[tex]_{o}[/tex]e[tex]^{(5)} ln^{(3)}[/tex]

10,00,000 Pe[tex]^{(5)}ln^{(3)}[/tex]

10,00,000 = P[tex]_{o}[/tex]e[tex]ln^{(3)^{5} }[/tex]

10,00,000 = P[tex]_{o}[/tex][tex](3)^{5}[/tex]

P[tex]_{o}[/tex] = 10,00,000 / [tex]3^{5}[/tex]

P[tex]_{o}[/tex] = 10,00,000 / 243

Thus, the formula for any t is P(t) = (10,00,000 / 243) e[tex]ln^{(3)^{t} }[/tex]

Find the doubling time for the bacteria population.

Let X= 10,00,000 / 243 then the equation for the doubling time for the bacteria is

2X = Xe[tex]ln^{(3)t[/tex]

2 = e[tex]ln^{(3)t}[/tex]

t= ln (2) / ln (3) ≈ 0.63094 hours

Or t=37.8564 minutes.

Learn more about Bacteria here:

https://brainly.com/question/8008968

#SPJ4

Classify each statement about the function f(x)=2x3+8 as true or false.
The domain of the function is all real numbers.
The range of the function is (0, ∞).
The y-intercept is (0, 0).
The center of symmetry is (0, 8).

Answers

Answer:

The answer to the classification of the statements is:

1.True

2.False

3.False

4.True

Answer:

True

False

False

True

Step-by-step explanation:

The associative property states that when adding or multiplying three or more terms, you can group the terms in any order and still get the same answer. The expression must use only one operation. For example, 4 × 3 × 2 can be thought of as 4·(3 · 2), which is 4 · 6, or as (4 · 3) · 2, which is 12 · 2.

The associative property works with addition and multiplication, but not division and subtraction.

Answers

The associative property works with addition and multiplication, but not division and subtraction because the grouping of terms affects the result of the operation.

A mathematical concept known as the associative property governs the addition and multiplication of three or more terms. It claims that the way the phrases are grouped has no bearing on how the operation turns out.

This implies that the same result may be obtained by adding or multiplying three or more terms in any sequence. Nevertheless, division and subtraction are not covered by the associative property.

We should take a gander at the accompanying cases to show how expansion and increase are connected:

Example 1: Addition

(2 + 3) + 4 = 2 + (3 + 4)

5 + 4 = 2 + 7

9 = 9

Example 2: Multiplication

(2 × 3) × 4 = 2 × (3 × 4)

6 × 4 = 2 × 12

24 = 24

We can observe from both cases that the word grouping has no impact on the operation's outcome. The associative characteristic, therefore, applies to both addition and multiplication.

The associative characteristic, however, does not apply to division and subtraction. For instance:

(8 ÷ 4) ÷ 2 ≠ 8 ÷ (4 ÷ 2)

2 ÷ 2 ≠ 8 ÷ 2

1 ≠ 4

We can observe from this example that the term grouping has an impact on the operation's outcome. The associative property does not, therefore, apply to division.

The associative property does not also hold for subtraction. For instance:

(8 - 4) - 2 ≠ 8 - (4 - 2)

4 - 2 ≠ 8 - 2

2 ≠ 6

In this example, we can again see that the grouping of terms affects the result of the operation. Therefore, the associative property does not apply to subtraction.

Learn more about associative property at

https://brainly.com/question/30111262

#SPJ4

A person invests 7000 dollars in a bank. The bank pays 6. 25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 11300 dollars?

Answers

It takes 3.9 years long the person have to leave the money in the bank until it reaches 11300 dollars

Suppose that the initial amount of something is P.

Let after one unit of time, it increases by R% [per unit time] end compounds on the resultant total of that quantity, then, after T such units of time, then the quantity would increase to:

[tex]A=P\left(1+\frac{R}{100}\right)^{nT}[/tex]

A person invests 7000 dollars in a bank. The bank pays 6.25 % interest compounded semi-annually.

Given that:

Principal =7000

Interest (r) = 6.25 % compounded semi annually

As compounded semi annually n = 2

Calculate time, t, if final amount A = 11300

Using the compound interest formula

[tex]A=P\left(1+\frac{R}{100}\right)^{nT}[/tex]

A = Final amount

n = number of times interest is applied per period

11300 = 7000 [tex](1+0.0625)^{2t[/tex]

113 = 70 [tex](1.0625)^{2t[/tex]

1.614 =  [tex](1.0625)^{2t[/tex]

Take the log of both sides

log 1.614 = 2t log 1.0625

0.2079 = 2t (0.0263)

0.2079 = 0.0526 t

t = 3.9

Time period will be 3.9 years.

For more questions on compound interest

https://brainly.com/question/12581997

#SPJ4

3. numbers with square roots that are whole

Answers

they are called perfect square numbers

4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196 heres some hope that helps!

Calculate the tax for each taxable income of a head of household.

Answers

The income tax for each household are:

Household 1 = $113,775Household 2 = $1,09540Household 3 = $18,904.88Household 4 = $47,222.50

Let's evaluate each household income tax cases:

Household 1

Taxable income = $400,000

Tax rate = $45,210 + 35%  over $204,100

Income tax = $45,210 + 35% ($400,000 - $204,100)

Income tax = $45,210 + $68,565

Income tax = $113,775

Household 2

Taxable income = $10,954

Tax rate = 10% income

Income tax = 10% ($10,954)

Income tax = $1,095.40

Household 3

Taxable income = $108,962

Tax rate = $12,962 + 24% over $84,200

Income tax = $12,963 + 24%($108,962 - $84,200)

Income tax = $12,963 + $5,942.88

Income tax = $19,804.88

Household 4

Taxable income = $209,850

Tax rate = $45,210 + 35% over $204,100

Income tax = $45,210 + 35% ($209,850 - $204,100)

Income tax = $45,210 + $2,012.50

Income tax = $47,222.50

Learn more about Income Tax here: brainly.com/question/15058781

#SPJ1

The regression line for this data set has a slope close to m = , and the correlation coefficient is close to. Based on this information, we can conclude that employees' annual earnings are to their tenure. Employee earnings tenure

Answers

1) The slope of the regression line is 35
2) The correlation coefficient is 0.95
3) Employees’ annual earnings are strongly related to their tenure
4) Employee earnings increase with tenure.

The slope of the regression line in this data set is close to 35. In order to determine the slope, two points must be identified that are either on or near the line.

We have the following two points;

(1, 175) and (2.5, 225)

slope = (change in y) / (change in x)        

          = (225-175)/(2.5-1) = 33.33

This is close to 35.

2) The correlation coefficient of the annual earnings and tenures of employees at Stan & Earl Corp is almost 0.95. This value, known as the coefficient of correlation, shows the level of connection between two variables and the direction of their linear relationship. The scatter-plot demonstrates a strong positive relationship between the employees' annual earnings and their tenure.

Hence the correlation coefficient is close to 0.95.

3) The data suggests a strong connection between an employee's annual earnings and their tenure. The correlation coefficient was estimated to be close to 0.95, which represents a significant positive relationship between the two variables. As a result, it can be concluded that there is a clear relationship between an employee's annual earnings and the length of time they have been with the company.

4) As employees' tenure with the company increases, their annual earnings also increase. This can be deduced from the slope of the regression line which was calculated to be close to 35, indicating a positive relationship between the two variables. The positive correlation coefficient supports this

Learn more about graphs here brainly.com/question/10712002

#SPJ4

The regression line for this data set has a slope close to m = (5.5,35,-50,-2.5) , and the correlation coefficient is close to (0.20,0.40,0.75,0.95) .

Based on this information, we can conclude that employees’ annual earnings are (strongly related, moderately related, weakly related, not related) to their tenure. Employee earnings (increase with, decrease with, are not affected by) tenure.

A parabola opening up or down has vertex (0, 0) and passes through (12, 18). Write its equation in
vertex form.
Simplify any fractions.

Answers

Answer:

[tex]y=\dfrac{1}{8}x^2[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}[/tex]

Given that the vertex of the parabola is (0, 0):

h = 0k = 0

Substitute the values of h and k into the formula:

[tex]y=a(x-0)^2+0[/tex]

[tex]y=ax^2[/tex]

Given that the parabola passes through the point (12, 18), substitute this into the equation and solve for a:

[tex]18=a(12)^2[/tex]

[tex]18=144a[/tex]

[tex]a=\dfrac{18}{144}[/tex]

[tex]a=\dfrac{1}{8}[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=\dfrac{1}{8}x^2[/tex]

Chris says that he can find the surface area faster by

thinking of the box as a triangular prism on top of a

rectangular prism. He finds the surface area of each one

and adds them together. Does his method make sense?

Answers

Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism is a valid and useful approach.

What is Surface area?

The surface area of a solid item is a measurement of the total area occupied by the object's surface.

Yes, Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism makes sense.

A box can be thought of as a combination of a triangular prism and a rectangular prism because a box is made up of six faces, with three rectangular faces and three triangular faces. By finding the surface area of the triangular prism and the rectangular prism separately, and then adding them together, one can find the total surface area of the box.

This method can make finding the surface area of a box faster and easier because one can use formulas that are specifically designed for finding the surface area of triangular prisms and rectangular prisms. By breaking down the box into its constituent parts, one can simplify the calculation and avoid having to use a more complex formula for finding the surface area of a box.

In summary, Chris's method of finding the surface area of a box by thinking of it as a combination of a triangular prism and a rectangular prism is a valid and useful approach.

To know more about Surface area visit,

https://brainly.com/question/16519513

#SPJ4

You want to buy a pet hamster that costs $42. You already have $15 and plan to save $8 per week. If w represents the number of weeks until you have enough money to buy the hamster, what equation represents your plan to afford the hamster.
I need help I can't think of what the equation would be!

Answers

Answer: 42 = 8w + 15

Step-by-step explanation:

Hide Sample Answer
The area formula is A = 7². Substitute the values of r (3.5 inches) and TT (3.14) in the formula to find A:
A-3.14x (3.5)² square inches
A = 38.465 square inches.
The area of each light is about 38.465 square inches.
Part C
What is the total area of all three circular lights?

Answers

The total area of ​​all three circle lights is:

115.395 square inches.

How do you find the area of ​​a circle?

The area of ​​the circle formula helps measure the space occupied by a circular field or plot. Assuming you have land to the fence, the area formula will help you determine how much fencing you will need.

The area of ​​a circle is the area occupied by the circle in the two-dimensional plane. It can be easily determined by the formula A = [tex]\pi r^{2}[/tex],  (Pi r-square) where r is the radius of the circle. Area units are square units such as For example m², cm², etc.

The total area of ​​all three circular lights can be calculated by multiplying the area of ​​one light (38.465 square inches) by 3.

Total area = 3 x 38.465 square inches

Total area = 115.395 square inches.

To know more about area visit:

https://brainly.com/question/27683633

#SPJ1

can someone help me with this ik its not math, but there wasn’t a category for band/music. this is due tmr and i’m struggling. i’ll give 50 points!!



1. a break in the music
2. how loud or soft to play
3. bar lines organize the staff into these boxes of music
4. perform two or more notes as one note for the combined sum of all the notes
5. noteheads are placed on the five horizontal lines and four spaces
6. Signifies the end of a piece of music show me your mom
7. Divide the staff in the measures
8. Medium soft
9. Holding note longer than its normal value
10. Fast
11. The style used to begin or end a note
12. A medium tempo
13. Stretch the note to hold it for full value
14. a slow tempo
15. Perform the note with emphasis
16. Gradually getting louder
17. Gradually getting softer same as decrescendo
18. Top number is the number of beats in a measure bottom number is the type of note that receives one beat
19. Gradually getting faster
20. Smoothly connected

the blacked out ones are the ones i’ve already done!!

Answers

Answer:

1. rest

2. dynamics

3.  measure

4. chord

5. staff

6. double bar line

7. bar line

8. mezzo-piano

9. fermata

10. allegro

11. articulation

12. moderato

13. tenuto

14. larghetto?

15. accent

16. crescendo

17. diminuendo

18. time signature

19. accelerando

20. slur


Can someone please explain the answer with steps and formula I have a test tomorrow

Answers

Answer:

sorry but it not possible here i can explain on another platform

grade 4N usually has physical education on a Wednesday at 1:43pm and ends at 2:13 pm. with the new mandated change, at what time will grade 4N PE ends?

Answers

Grade 4N usually has physical education on a Wednesday at 1:43 pm and ends at 2:13 pm. with the new mandated change, at  2:28 pm Grade 4N PE will now end

The new regulations require physical education classes to be a minimum of 30 minutes long. Allowing for an extra 15 minutes to the existing PE class brings the end time to 2:28 pm.  This is an important change because it ensures that all students receive the recommended amount of physical activity each week.

Physical education is a vital part of a student’s development, as it provides the opportunity for students to become more active, and socially engaged, and learn about the importance of a healthy lifestyle.  The extra 15 minutes of physical education also allows for more time for students to learn about safety procedures and the proper way to use the equipment, which is important for the overall well-being of the students.

Additionally, the extra time allows for more time for individual instruction, which can be beneficial for students who need extra help or who may be struggling with a certain skill.

To know more about   Physical education refer to  the  link  brainly.com/question/28271935

#SPJ4

PLEASE HELP ASAP WILL GIVE BRAINLEST!

Answers

The value of the x is 228.57 units.

What is the angle bisector theorem?

The angle bisector theorem states that a triangle's angle divides the opposing side into two portions that are proportionate to one another.

We have given,

Triangle, Let's consider it ΔABC,

then,

Measures of Angles ∠B= 37, ∠C=32, and side AD = 82

To find x =?

In the triangle side AD is the bisector, it forms a new triangle  ΔADC.

According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.

As per the Angle bisector theorem, the ratio of the line segment BD to DC equals the ratio of the length of the side AB to AC.

To find AB & AC:

sin θ = side opposite to angle θ / hypotenuse

cos θ = side adjacent to angle θ / hypotenuse

sin θ = AD / AB

sin 37 = 82 / AB

AB = 82/ sin 37

AB = 136.25

cos θ = BD / AB

cos θ = BD/136.25

BD = cos37 * 136.25

BD = 104.9

sin θ = AD / AC

sin32 = 82 / AC

AC = 149

cos32 = DC / AC

cos32 = DC / 149

DC = 123.67

So, x = BD + DC

x = 104.9 + 123.67

x = 228.57

Hence, the value of the x is 228.57 units.

To learn more about the angle bisector theorem visit,

https://brainly.com/question/9742008

#SPJ1

The distance between two towns, A and B, is 100 km. Mr Jones drove from A to B at an average speed of v km/h. (a) Write down an expression, in terms of v, for the time, in hours, that he took to complete the journey from A to B. [1]​

Answers

The expression giving the time that he took to complete the journey is given as follows:

t = 100/d.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

For this problem, the distance is given as follows:

d = 100 km.

Hence the expression to obtain the time needed is given as follows:

v = 100/t

vt = 100

t= 100/v.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

#SPJ1

How many liters are in 9 quarts

Answers

Answer: 8.5 L

Step-by-step explanation: I looked it up l o l

Answer:

Your answer is: 8.51718

Step-by-step explanation:

There's 1.057 quarts in a liter. You multiply that by 9 to get 8.51718.

To graph the shape on the coordinate grid, click on a point that represents a vertex, then repeat this process for each vertex point of the shape. To complete the shape, click on the first vertex point. The shape will be shaded in once it is completed.

Answers

Check the picture below.

find the value of y in the proportion (4y+5):3=(y+7):4​

Answers

The value of y in the given proportion is 1/13.

In mathematics, a proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities, typically written as a fraction. For example, if we have two quantities, a and b, then the ratio of a to b is written as a/b.

A proportion is written in the form a/b = c/d, where a, b, c, and d are numbers. This means that the ratio of a to b is equal to the ratio of c to d. We can also write this as a:b = c:d.

To solve the proportion:

                   (4y+5):3=(y+7):4

We can cross-multiply and simplify:

                  4(4y+5) = 3(y+7)

                  16y + 20 = 3y + 21

Subtracting 3y from both sides:

                  3y + 20 = 21

Subtracting 20 from both sides:

                  13y = 1

Dividing both sides by 13:

                  y = 1/13

Therefore, the value of y that satisfies the proportion is y = 1/13.

To learn more about proportions,

https://brainly.com/question/19994681

A science class planned a field trip for which the total costs were $80. When four additional students decided to go on the trip, the cost per student was reduced by $1. How many students went on the trip?

Answers

Answer:

There were 8 student who went on a trip.

Step-by-step explanation:

Let's call the original number of students "x". The total cost of the trip was $80, so the cost per student was $80/x.

When four more students decided to go, the new number of students became x + 4, and the cost per student was reduced by $1, to $80/x - $1.

We can set up an equation to solve for x:

$80/x = $80/(x + 4) - $1

Expanding the right side:

$80/x = $80/x + $80/4 - $1

Combining like terms:

$80/x = $80/4 + $80/x - $1

Solving for x:

$80/4 = $80/x - $1

$80/4 + $1 = $80/x

$20 + $1 = $80/x

$21 = $80/x

Finally, solving for x:

x = 80/$21 = 80/21 = 3.81 (rounded to nearest whole number)

So, there were 4 students on the original trip.

There were 4 students on the original trip and 4 more students joined, so in total, there were 4 + 4 = 8 students who went on the trip.

Answer: 8 student

Step-by-step explanation:

I was wondering how you solve for x if you 2x=18?

Answers

Answer: the answer is 9

Step-by-step explanation:

simply divide 2 from both sides in order to cancel out the left side and isolate the variable. 18 divided by 2 is 9

A mason needs to purchase mortar mix for a retaining wall consisting of 640 blocks. The guidelines for this mix suggest that 12 bags are required for every 100 blocks. Assuming that he cannot purchase part of a bag, how many bags will he need?

Answers

The mason will need 77 bags of mortar mix for the retaining wall.

What is  purchase?

Purchasing is the process a business or organization uses to acquire goods.

To find out how many bags of mortar mix the mason needs

we need to calculate the number of bags required for 640 blocks.

The guidelines suggest that 12 bags are required for every 100 blocks, so for 640 blocks, we need:

12 bags * (640 blocks / 100 blocks) = 12 * 6.4 = 76.8

Since the mason cannot purchase part of a bag, he will need to round up to the nearest whole number of bags. In this case, 77 bags will be required.

So, the mason will need 77 bags of mortar mix for the retaining wall.

Learn more about  purchase here :brainly.com/question/29040864

#SPJ1

02: Pretest CR Algebra 2 A / 2:Equations and Functions

Answers

option B is correct, the equation or function of the graph is y≥3/4x-3.

What is Slope of Line?  

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The line passing through points (4,0) and (0,3)

Slope=3/-4=-3/4

Now let us find y intercept

0=-3/4(4)+b

0=-3+b

b=3

Hence, option B is correct, the equation or function of the graph is y≥3/4x-3.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

Grace rakes led s every day for one week. She fills the same number of bags with leaves o each of the 5 weekdays. She fills 11 bags over the weekend. At the end of the week, Grace has filled a totallof 26 bags. She wants to know how many bags she filled each weekday.
bags filled on weekdays + bags filled on weekend = total bags filled
Let b equal the number of bags Grace filled each weekday.
5b + 11 = 26
How many bags of leaves did Grace fill each weekday?

Answers

Answer:

3 bags of leaves each weekday

Step-by-step explanation:

5b + 11 = 26

Subtract 11 from both sides.

5b = 15

Divide 5 on both sides.

b = 3

Grace filled 3 bags of leaves each weekday.

A total of
330
330 children and adults attended a school play. There were
21
21 times as many children in attendance as there were adults.



This situation is modeled by the given system of equations, where a represents the number of adults and c represents the number of children.

Answers

As a result, 315 pupils attended the school play.

What is equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

The first equation in the system is given by the total number of attendees:

c + a = 330

The second equation is given by the number of children being 21 times the number of adults:

c = 21a

We can use substitution to find the value of a and then find the value of c. Substituting the second equation into the first equation, we get:

21a + a = 330

Combining the two terms on the left-hand side, we have:

22a = 330

Dividing both sides by 22, we have:

a = 15

So there were 15 adults in attendance at the school play. To find the number of children, we can use the second equation:

c = 21a = 21 * 15 = 315

So there were 315 children in attendance at the school play.

To know more about equation,

https://brainly.com/question/2228446

#SPJ4

A social media website had 500,000 followers in 2012. The number y of followers increases by 19% each

year.

a. Write a function that represents the number of followers t years after 2012.

b. How many people will be following the website in 2019? Round your answer to the nearest thousand

Answers

Function representing number of followers for different situation are:

a. Number of followers in 't' years N = 500,000 ( 1 + 19/100 )^t.

b. Number of people following in 2019 are 1,690,000 ( nearest thousand )

Total number of followers of social media website in 2012 = 500,000

Followers increases by 19% every year.

let 'N' represents the number of followers.

a. Function to represents the number of follower in 't' years after 2012 is:

N = 500,000 ( 1 + 19/100 )^t

b. Number of people following website in 2019 is:

t = 2019 -2012

 = 7

N = 500,000 ( 1 + 19/100 )^7

⇒ N = 500,000 ( 1.19 )^7

⇒ N = 500,000 × 3.379

⇒ N= 1689657.7

⇒ N = 1,690,000 ( nearest thousand )

Therefore, the number of followers represented for different condition are:

a. Function to represent number of followers in 't' years is

N = 500,000 ( 1 + 19/100 )^t

b. Number of followers in 2019 are 1,690,000 ( nearest thousand )

Learn more about function here

brainly.com/question/12431044

#SPJ4

Attached imagine to answer.

Answers

Answer:

A)7y-4xy

Algebraic expressions are just that expressions. No inequality signs or equations. That's what makes them special

Step-by-step explanation:

what is the tempature change of 15 to -9

Answers

Answer:

change in temperature = final - temperature

= -9°-15° = -24°C

Other Questions
(2) Melissa and Ron entered a competition as a team Ron's score was 4/9 of Melissa's score. Melissa scored 50 more points than Ron. How many points did Melissa score? what average force is required to stop a 990 kg car in 7.2 s if the car is traveling at 83 km/h ? express your answer to two significant figures and include the appropriate units. Finding the time to reach a limit in a word problem on...A laptop computer is purchased for $3300. Each year, its value is 75% of its value the year before. After how many years will the laptop computer be worth$500 or less? (Use the calculator provided if necessary.)Write the smallest possible whole number answer.years the term utility is best defined as the the term utility is best defined as the responsiveness by a firm to a change in the price of its good. necessity of a good. satisfaction a consumer receives upon consuming a good. number of goods a consumer has. profit a firm makes from producing a good. The guy on the bike wouldve made pro wrestlers run for Mama. He was dressed in a red muscle shirt and black jeans and a black leather duster, with a hunting knife strapped to his thigh. He wore red wraparound shades, and he had the cruelest, most brutal face Id ever seen handsome, I guess, but wicked with an oily black crew cut and cheeks that were scarred from many, many fights.How does "wouldve made pro wrestlers run for Mama" contribute to the tone and meaning of the text? What can a programmer expect when writing a modular program for a game, compared to a non-modular one?A. A more player-friendly gameB. A more organized programC. A faster-running programD. A more engaging game a solid sphere of radius 40.0 cm has a total positive charge of 26.0 mc uniformly distributed throughout its volume. calculate the magnitude of the electric field (a) 0 cm, (b) 10.0 cm, (c) 40.0 cm, and (d) 60.0 cm from the center of the sphere. how would you describe a marketing mix Find all the zeros of the quadratic function. y=x^2+11x+18 If there is more than one zero, separate them with commas. If there are no zeros, click on "None". 1. calculate the rate of movement of the pacific plate between 1.6 million years ago and today (the distance between kilauea and west molokai is 200 km). last week, she was surprised to find customers asking for specials she hadn't been informed of in advance. the franchise company failed to live up to the value-driven activity of explain the difference between the normal and mutated forms of hemoglobin. Help Heated Stoichemtry!!! the nurse is teaching clients how to determine the estimated time of ovulation by taking their basal body temperature. which is the expected change in the basal temperature during ovulation? PLEASE ANSWER FAST!!!!! I WILL GIVE BRAINIEST, EXTRA 25 POINTS, THANKS, 5 STARS!!!!! The diagram below shows the branching tree diagram for humans. The text box below it shows the set of derived shared characteristics for the branching tree.A slanting, horizontal line is shown. On the extreme left, there is a label that says Common Ancestor. Along the slanting, horizontal line there are five dots labeled from left to right as 1, 2, 3, 4, and 5. There is one vertical line between each of the consecutive five dots. The lines are labeled from left to right as Perch, Frog, Pigeon, Rats, and Human. A text box below the branching tree diagram is labeled Derived Shared Characteristics. In the box it says from left to right, Terrestrial during all stages, Jaws, Walking on two legs, Mammary glands and hair, and Four limbs.Look at the possible derived shared characteristics, shown in the text box. Think about where these should be placed along the branching tree diagram. .Is this equation linear or non linear? explain why. Why might a creature have stalked another creature external factor that should be considered when forecasting to determine the number of people to be recruited is called I need help ALL DOS COMMANDS BEGIN WITH A _______ THAT IDENTIFIES THE ACTION YOUR WANT PERFORMED.A. SYNTAXB. PARAMETERSC. KEYWORDD. SEMANTICS