Answer: 0.20689655
Step-by-step explanation: because you take 12 divided by 58
tickets to the play cost $3 for children and $5 dollars for adults. for last bight performance there were 110 people in the audience and they made a total of 450 in ticket sales. how many children and how many adults attended the play (solve by substitution)
Answer:
50 children tickets; 60 adult tickets
Step-by-step explanation:
Let a = number of adult tickets.
Let c = number of children tickets.
a + c = 110
5a + 3c = 450
-3a - 3c = -330
5a + 3c = 450
------------------------
2a = 120
a = 60
a + c = 110
c = 50
Answer: 50 children tickets; 60 adult tickets
Please I nee help....
The area of the figure is 39 feet square.
How to find the area of a composite figure?A composite figure contains two or more shapes. The figure above is a composite figure. The area of the figure can be calculated as follows:
area of the figure = area of rectangle 1 + area of rectangle 2
Therefore,
area of rectangle 1 = lw
where
l = lengthw = widthTherefore,
area of rectangle 1 = 2(3)
area of rectangle 1 = 6 ft²
area of rectangle 2 = 11 × 3
area of rectangle 2 = 33 ft²
Therefore,
area of the figure = 6 + 33
area of the figure = 39 ft²
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What is the value of this expression when c=-4 d= 10
Answer:
9
Step-by-step explanation:
If c = -4 d = 10, we can re-write the expression:
[tex]\frac{1}{4} (-4^{3}+10^{2} )[/tex]Simplifying what is in the parenthesis:
[tex]\frac{1}{4} (-64 +100)[/tex][tex]\frac{1}{4}[/tex] × 369Therefore when c = -4 d = 10, [tex]\frac{1}{4} (-4^{3}+10^{2} ) = 9[/tex].
Answer: B. 9
Step-by-step explanation:
Let's learn some BIDMAS rules!
BIDMAS is an order of operation.
Multiply first or the indices? We can solve it with order of operations.
Here we go ↓↓
B = Brackets
I = Indices (³ ²)
D = Division
M = Multiplication
A = Addition
S = Subtraction
NOTE = Multiply or divide first? We do it from left to right
NOTE = Addition or Subtraction? We also do it from left to write in an equation.
Step 1 :
We replace all the letters with the given value, this make it :
[tex]1/4 (-4^{3} + 10^{2} )[/tex]=?
Step 2 :
Now, according to the rules, we do the numbers in the brackets first, now, in the brackets, there are indices, so we do those.
Which makes it :
1/4(-64+100)= ?
Step 3 :
Now we add the integers inside the brackets, remember, whenever the equation is like this, it is telling us it is a multiplication, here, it will be 1/4 x (-64+100) . In algebra, we don't use the × sign as it can be misinterpreted as [tex]x[/tex] .
1/4 (-64+100 = 36)
1/4 (36)
=
1/4 x 36
So we have = 1/4 x 36 at last.
Step 4 =
Do the multiplication!
1/4 x 36 = 9
So the answer is 9
The population of the world grows approximately 1. 1% per year. If the population of the world is approximately 8 billion people in 2022, write an exponential equation to model the world population (in billions) after t years
The population after 5 years will be approximately 8.45 billion.
Determine exponential equationThe exponential equation to model the world population (in billions) after t years is P(t) = 8(1.011)^t, where P(t) is the population in billions and t is the number of years after 2022.
To write this equation, we need to use the information provided in the question. The initial population in 2022 is 8 billion, so this is our starting value. The growth rate is 1.1% per year, which can be written as 1.011 in decimal form.
We can use the formula for exponential growth, P(t) = P0(1 + r)^t, where P0 is the initial population, r is the growth rate, and t is the number of years.
Substituting the values for P0 and r into the equation, we get:
P(t) = 8(1.011)^t
This equation can be used to find the population after t years.
For example, to find the population after 5 years, we can substitute t = 5 into the equation and get:
P(5) = 8(1.011)^5 ≈ 8.45 billion
Therefore, the population after 5 years will be approximately 8.45 billion.
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two angles are supplementary if the sum of their measures is 180. angles A and B are supplementary. if the measure of angle A is 78 write and solve an addition equation to find the measure of angle B.
Answer:
78° + B = 180°
B = 102°
Step-by-step explanation:
"Supplementary" means angle A and B added together are 180°.
We know A is 78, but we don't know B
Write an equation:
A + B = 180°
Fill in what we know.
78° + B = 180° this is the equation the question is asking for.
To solve, subtract 78 from both sides of the equation.
B = 102°
Is it possible to sketch a graph of a quadratic polynomial function that has no turning points? Explain.
Particular attention should be paid to the y=x3+x graph, which lacks any stationary points of inflexion or turning points. This illustration demonstrates that a cubic graph could contain zero stationary points. One, two, or three x-intercepts can be found on the graph of a cubic polynomial.
What is meant by polynomial?A degree three polynomial might be referred to as a cubic polynomial. In other words, the number three will be the largest exponent of the variable in a cubic polynomial. A cubic polynomial would therefore have the generic form ax3+bx2+cx+d, where a0.Cubic polynomials have variables with highest exponents of three (3) or greater. Consequently, a polynomial of degree three is called a cubic polynomial. Degree 0 is known as the constant, degree 1 as linear, degree 2 as quadratic, degree 3 as cubic, degree 4 as quartic or the fourth degree, degree 5 as quintic or the fifth degree, and so forth.To learn more about polynomial, refer to:
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A cone has a radius of 4 units and a height of 6 units. Its volume is cubic units. If a cylinder has the same radius and the same height as the cone, then its volume is cubic units.
Volume of cone = 100.48 cubic units. and The Volume of cylinder= 301.44 cubic units.
One of the fundamental three-dimensional forms in geometry is the cylinder, which has two distant, parallel circular bases. At a certain distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The distance between the two circular bases is used to define the cylinder's height. An LPG gas cylinder is one of the genuine examples of a cylinder. The cylinder is a three-dimensional object with two essential properties: surface area and volume. The whole surface area of the cylinder is composed of the combined curved surface area of the cylinder plus the areas of the two circular bases.
A cone has a radius of 4 units and a height of 6 units.
Volume of cone = [tex]V=\frac{1}{3}\pi r^2h[/tex]
Where, r=4 and h=6
Volume of cone = [tex]V=\frac{1}{3}\pi 4^2\times 6[/tex]
Volume of cone = 100.48 cubic units.
If a cylinder has the same radius and the same height as the cone.
Volume of cylinder [tex]V=\pi r^2h[/tex]
Where, r=4 and h=6
[tex]V=\pi \times 4^2\times 6[/tex]
Volume of cylinder= 301.44 cubic units.
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In the diagram O is the center of the circle if MABC equals 70 what is MAOC 
The measure of ∠AOC of the circle is ∠AOC = 140°
What is Central Angle?The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
where s is the length of the arc
r is the radius of the circle
Central Angle = 2 x Angle in other segment
Given data ,
Let the measure of ∠ABC of the circle = 70°
Now , the sides AO and BO are the radius of the circle
where x + y = 70°
So , the measure of ∠AOB = 180 - 2x
And , the measure of ∠COB = 180 - 2y
Now , the measure of ∠AOC = 2 ( x + y )
On simplifying , we get
Central Angle = 2 x Angle in other segment
The measure of angle ∠AOC of the circle is = 2 ( 70 )°
The measure of angle ∠AOC of the circle is = 140°
Hence , the measure of ∠AOC of circle = 140°
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A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 14% are pennies and 40% are dimes. There are 6 more nickels than pennies. How much money does the bag contain?
The bag that contains pennies, nickels, dimes, and quarters have the total amount of 5.26 dollars.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
A bag contains 50 coins
Now, Number of pennies = 14% of 50
= 0.14 × 50
= 7 pennies
and, Number of dimes = 40% of 50
= 0.40 × 50
= 20 dimes
Number of nickels = 6 more than pennies
= 6 + 7
= 13 nickles
Number of quarters = Rest of the coins
= 50 - (7 + 20 + 13)
= 50 - 40
= 10 quarters
As we know,
1 penny = 0.01 dollar
7 pennies = 0.01 ×7 = 0.07 dollar
1 dime = 0.10 dollar
20 dimes = 0.10 × 20 = 2.00 dollar
1 nickel = 0.05 dollar
13 nickel = 0.05 × 13 = 0.65 dollar
1 quarter = 0.25 dollar
10 quarter = 0.25 × 10 = 2.50 dollars
Total value of the coins in the bag = 0.07 + 2.00 + 0.65 + 2.50
= 5.22 dollars
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If a shopkeeper gives you a 15%discount on shirt of having total price 50. What price will you give after discount ?
If a shopkeeper gives you a 15% discount on shirt of having total price 50, the price you will give after the 15% discount is 42.5 dollars.
If the original price of the shirt is 50 dollars, and the shopkeeper gives a discount of 15%, then the discount amount is calculated by:
Discount = Original price x Discount rate
Discount = 50 x 0.15
Discount = 7.5 dollars
The discounted price is calculated by subtracting the discount from the original price:
Discounted price = Original price - Discount
Discounted price = 50 - 7.5
Discounted price = 42.5 dollars
The discount rate of 15% means that you will save 15% of the original price, which is 7.5 dollars in this case. The discounted price is the price after subtracting the discount amount from the original price.
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A survey of all beings on planet Quect found that 30% preferred
pisquet juice to all other juices. If 6 beings preferred pisquet juice,
how many beings were surveyed altogether?
The total number of beings surveyed is given by the equation A = 20
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the total number of beings surveyed be represented as A
Now , the percentage of beings preferred pisquet juice = 30 %
The number of beings who preferred pisquet juice = 6
Substituting the values in the equation , we get
( 30 ) % of A = 6 be equation (1)
On simplifying the equation , we get
( 30/100 )A = 6
Multiply by 100 on both sides of the equation , we get
30A = 600
Divide by 30 on both sides of the equation , we get
A = 600/30
A = 20
Therefore , the value of A is 20
Hence , the number of beings is 20
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S
ir br
5. A company is designing a new
cylindrical package. The volume of
the package is 87.92 in.³. The
radius is 2 inches. Use 3.14 to
approximate 7 to answer the
questions.
Part A
To the nearest inch, how many
inches is the height of the
cylindrical package?
Answer:
Step-by-step explanation:
87.92*3.14/4=504.3
Write an equation in slope-intercept form for the line that passes through (8,1) and (4,3).
A. y= 1/2x + 5
B. y= −2x + 5
C. y= −1/2x + 5
D. y= −1/2x + 15
Answer:
The answer would be part C
Step-by-step explanation:
First we find the gradient by y2-y1/x2-x1
So it would be;
3-1/4-8
2/-4
-1/2
Now we put in the gradient and the points (4,3) in the equation y=mx+c;
3=-1/2(4)+c
3=-2+c
3+2=c
5=c
Finally we put c in the equation;
y=mx+c
y=-1/2x + 5
how do you do this? (Write an equivalent expression without parentheses. Then simplify the result
m-(8-3m)
The expression m - (8 - 3m) is equivalent to the expression 4m - 8.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ m - (8 - 3m)
Simplify the expression, then we have
⇒ m - (8 - 3m)
⇒ m - 8 + 3m
⇒ 4m - 8
The expression m - (8 - 3m) is equivalent to the expression 4m - 8.
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A person places $6770 in an investment account earning an annual rate of
7.6%, compounded continuously. Using the formula V = Pert, where Vis
the value of the account in t years, P is the principal initially invested, e is the
base of a natural logarithm, and r is the rate of interest, determine the
amount of money, to the nearest cent, in the account after 13 years.
The future value in 13 years when compounded continuously is; $18183.25
How to solve Continuous Compounding?Continuous compounding is defined as the process of calculating interest and reinvesting it into an account's balance over an infinite number of periods.
The formula for continuous compounding is;
V = Pe^(rt)
where;
V is the value of the account in t years
P is the principal initially invested
e is the base of a natural logarithm.
r is the rate of interest
We are given;
P = $6770
r = 7.6% = 0.076
t = 13
Thus;
V = 6770 * e^(0.076 * 13)
V = $18183.25
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How many quarts are in 4 gallons?
Answer:
4 US liquid gallons = 16 US liquid quarts
( Multiply the volume value by 4 )
Have a wonderful day! :-)
Answer:
16 quarts in 4 gallons
Step-by-step explanation:
1 gallon equals 4 quarts
Gwen has a home-based business making and selling scented soaps. She intially spent $96 to purchase soap-making equipment, and the materials for each kilogram of soap cost $9. Gwen sells the soap for $25 per kilogram. Eventually, she will sell enough soap to cover the cost of the equipment. How much soap will that be? What will be Gwen's total sales and costs be?
Gwen's total sales and costs would be; 50 dollars.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Consider that x represent the number of pounds of soap that she makes and eventually sells.
we are given that Gwen intially spent $96 to purchase soap-making equipment, and the materials for each pound of soap cost $9. This means that the total cost of making x pounds of soap would be;
9x + 96
thus her revenue for x pounds of soap would be
25 × x = 25x
If she eventually sells enough soap to cover the cost of the equipment, then we get;
9x + 96 = 25x
25x - 9x = 96
x = 96/16
x = 6
she would need to sell make and sell 6 soaps.
The cost would be 9x + 96 = 150
The total sales would be;
25 x 6 = 150
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The table shows the total distance that Myra runs over different time periods.
A 2-column table with 5 rows titled Time and Distance Ran by Myra. The first column is labeled Time (minutes) with entries 0, 2, 4, 6, 8. The second column is labeled Distance (miles) with entries 0.0, 0.4, 0.8, 1.2, 1.6.
Distance is increasing with a speed of 0.2 Miles/Min
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Time in Minutes Distance in Miles
0 0.0
2 0.4
4 0.8
6 1.2
8 1.6
Here, Myra’s distance is increasing as time increase with a constant Speed.
Now, In every 2 mins distance traveled = 0.4 Miles
Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min
Thus, Distance is increasing with a speed of 0.2 Miles/Min.
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Im really stuck on this
The triangular area abc, from the graph on the market for gasoline represents, D. the deadweight loss (or excess burden) created by the tax.
What is a deadweight loss ?The cost of market inefficiency, which happens when supply and demand are out of balance, is known as a deadweight loss. When supply and demand are out of equilibrium, a deadweight loss arises, which impairs the efficiency of the market.
Deadweight losses may result from price floors, such as minimum wage and living wage regulations, price ceilings like price controls and rent restrictions, and taxation. A society's resource distribution may also become inefficient with a decline in commerce.
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A set of data is represented in the stem plot below.
Part A: Find the mean of the data. Show each step of work. Round answer to the nearest whole number. (2 points)
Part B: Find the median of the data. Show each step of work. (2 point)
Part C: Find the mode of the data. Show each step of work. (2 points)
Part D: Compare your values for mean, median, and mode from parts A, B, and C. Explain which value would best represent the data, and why? (4 points)
A. Mean = 71
B. Median = 75
C. Mode = 0
D. Mean is used to represent data, because mean measures central tendency.
What is mean , median and mode?A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.
We have the Data set: 35, 42, 43, 51, 55, 57, 62, 66, 68, 69, 74, 75, 76, 77, 78, 79 , 82, 84, 86, 88, 93, 94, 101
So, Mean = average
= sum of all numbers / total number of values .
= 1635 / 23
= 71.08
= 71
and, Median = middle term = 12th term = 75
lastly, Mode = Most repeated term or term that has high frequency.
Here no terms are repeating so mode = 0
A comparison of the mean, median, and mode
Data are represented using the mean.
Because it averages all of the values in the data set, the mean is the most widely used measure of central tendency.
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Coach Trevor packs a bag with 16 basketballs and footballs. The rato of basketballs to footballs is 5 : 3. Basketballs weigh 22 ounces, and footballs weigh 16 ounces, How much does the basketballs and footballs weigh in all?
Answer: 316 ounces
Step-by-step explanation:
5 + 3 = 8 (This tells us that there are a total of 8 "parts" in the ratio)
16/8 = 2 (Each part has a total of 2 balls)
2*5 = 10 basketballs
2*3 = 6 footballs
10 basketballs * 22 ounces = 220 ounces
6 footballs * 16 ounces = 96 ounces
Total = 220 + 96 = 316 ounces
Hoped this helped! Leave a comment if you have any other questions.
my question is in the screenshot
The initial amount of stickers given to each of the volunteers was 4 stickers while the final amount given to each of them was 6 stickers.
How to solve Algebra Word problems?We are told that Mai gave each of the five volunteers the same number of stickers. Thereafter, she gave each of them 2 stickers each and the total was 30 stickers.
If the initial amount given to them each was y, then we have;
5(y + 2) = 30
y + 2 = 6
y = 6 - 2
y = 4
Thus, we can say that the amount of stickers she gave each of them initially was 4 stickers while the amount she gave them in total after the extra ones was 6 each
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Twice the difference of a number and 7 equals 3
(GIVING AWAY 15 POINTS)
Answer:
x-17/2
Step-by-step explanation:
here, we can set the number to x
the question is asking for 2(x-7)=3
let's solve this by distributing
2x-14=3
2x=17
x=17/2
Answer: 2 (x - 7) = 3
Use the distributive property: 2x - 14 = 3
2x - 14 = 3 + 14
2x = 17
2x/2 = 17/2
x = 8.5
What are the measures of angles B and C?
In a parallelogram, the opposite angles have equal measures. Therefore, 2n + 32 = 4n - 2
32 = 2n - 2
34 = 2n
17 = n
Which of the following sentences describes the next step in the construction?
The sentence that describes the next step in the construction is; D: draw a line through points C and D
How to bisect a line?The steps that are used to bisect a line segment are;
1) Place the compass at one end of line segment.
2) Adjust the compass to slightly longer than half the line segment length
3) Draw arcs above and below the line.
4) Keeping the same compass width, draw arcs from other end of line.
5) Place ruler where the arcs cross, and draw the line segment.
From the given procedure and looking at the image, we can say that the next logical step would be to draw a line through points C and D
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What is the value of x?
The value of x is 2√13 units.
The correct option is D.
What is Pythagoras' theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
A right-angled triangle.
The value of the base is 12 units.
And the length of the perpendicular is 8 units.
Therefore,
x = √{(8)² + (12)²}
x = √(64 + 144)
x = √208
x = 2√13
Therefore, x = 2√13.
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Compute finance charges for installment purchases
1. If Sal saves $55 per month, express his total savings for x years as an
expression in terms of x.
2. Jean bought a $1,980 snow thrower on an installment plan. The installment agreement included a 10% down payment and 18 monthly payments of $116 each.
a. How much is the down payment?
b. What is the total amount of the monthly payments?
c. How much did Jean pay for the snow thrower on the installment plan?
d. What is the total finance charge?
Down payment = $198, total monthly payment = $2088, installment price = $2286, finance charge = $1782
What is down payment?Down payment is the amount of money that a purchaser needs to pay at the early stage of purchasing an expensive goods.
How to calculate down payment, total monthly payment and total finance charge?
Given, purchasing price = $1980, 18 monthly payments of $116 each.
down payment = 10%
amount of down payment = $1980 × 10/100
= $198
Total amount of monthly payment = $116 × 18 = $2088
Total paid for the snow thrower on the installment plan = Down payment + all monthly payment = $198 + $2088
Total installment price = $2286
total finance charge = Stated purchased price - down payment
= $1980 - $198
= $1782
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If Sal saves $55 per month, the expression for his total savings for x years is 55x.
What is amount?Amount is a term used to describe the total sum of money, quantity, or value of something. It is usually used to refer to a specific figure or a set of figures, such as the amount of money in a bank account, the number of items in a store, or the total cost of a purchase. Amount can also be used to describe the amount of time, energy, or effort put into something.
a. The down payment is 10% of $1,980, which is $198.
b. The total amount of the monthly payments is 18 x $116, which is $2,088.
c. Jean paid a total of $1,980 + $198 = $2,178 for the snow thrower on the installment plan.
d. The total finance charge is $2,088 - $2,178 = $90.
If Sal saves $55 per month, the expression for his total savings for x years is 55x.
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Does someone mind helping me with this problem? Thank you!
The equation of the line is y = -4x - 15.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The line y = m(1)x + c is perpendicular to y = x/4 - 2.
This means,
y = (1/4)x - 2 is in the form of y = m(2)x + c
So,
m(1) x m(2) = -1
m(1) = -1 / (1/4)
m(1) = -4
Now,
The line intersects (4, -1).
So,
y = -4x + c
-1 = -4(4) + c
-1 = -16 + c
c = - + 16
c = -15
Thus,
The equation of the line perpendicular to y = x/4 - 2 is y = -4x - 15.
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HELP ASAP
The table shows values for Variable A and Variable B.
Variable A 1 5 2 7 8 1 3 7 6 6 2 9 7 5 2
Variable B
3 5 4 7 7 4 4 6 6 13 3 8 8 6 1
Use the data from the table to create a scatter plot.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.7 to 10.5 with ticks spaced every 1 unit(s).
The vertical axis goes from -1 to 14.5 with ticks spaced every 1 unit(s).
The value of x is 77.5. The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is 180°.
What is value?Value is a subjective concept that referred to the word of importance that an individual group of people places on something it is often associated with principal beliefs and standard that are accepted by society when you can be seen as a measure of how important something is true person of organization it is often seen as a reflection of ones worldview and can help to save attitudes decision and behaviors believe is not an absolute and very depending on the context of the looks like commands.
In order to solve for x, we need to use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is 180°. Since angle BAC is bisected by segment AD, the two angles must be equal. Therefore, we can set up the following equation to solve for x:
180° = angle BAC = (x + 7) + (x + 18)
We can solve this equation by combining like terms and isolating the variable x.
180° = 2x + 25
2x = 155
x = 77.5
Therefore, the value of x is 77.5.
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What term should be inserted in m² +........+ 1/m² it a perfect square?
Answer: The given expression is:
m² +........+ 1/m²
We can notice that the expression has an even number of terms, and the first and last term are perfect squares, which suggests that it might be possible to write the expression as the square of a binomial.
Let's try to write the expression in the form of (a + b)²:
(a + b)² = a² + 2ab + b²
If we set a = m and b = 1/m, we get:
(a + b)² = m² + 2(m)(1/m) + (1/m)² = m² + 2 + 1/m²
Comparing this with the given expression, we see that it is the same as the given expression with 2 added to it.
Therefore, to make the given expression a perfect square, we need to add 2 to it.
So, the term to be inserted is 2.
The expression m² +........+ 1/m² can be written as (m + 1/m)² - 2.
Step-by-step explanation: