mabel owes $374 on her credit card and is about to make a repayment of $155.What will be the new balance on her credit card

Answer:

Step-by-step explanation:

[tex]y=\left \{ {({1/2)x+6, x > 4} \atop {6x,} x\geq 1} \right.[/tex]

Vito can not use same amount of water for 40 flower pots, as it would take 15 liters of water.

Vito uses 9 liters of water 24 flower pots.

To find: the amount of liters of water (w) it would take to water 40 flower pots.

This means, 9 liters is to 24 pots as w liters is to 40 pots

We write above statement as :

9:24::w:40

So, we get an a proportion,

9/24 = w/40

We solve above equation for w.

24w = 9(40)

24w = 360

w = 360/24

w = 15 liters

Therefore, 15  liters of water it would take to water 40 flower pots.

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The complete question is:

Vito uses 9 liters of water 24 flower pots. He is wondering how many liters of water (w) it would take to water 40 flower pots. He assumes he'll use the same amount of water on each pot. Which portion could Vito use to model this situation? Solve the proportion how many liters of water it takes to water 40 flower pads

The volume of cuboid with dimensions 9cm × 4cm × 5cm is 180 cm³

We know that the formula for the volume of the cuboid is:

V = l × w × h

where, V is the volume of the cuboid

l is the length of the cuboid

w is the  width of the cuboid

and h is the height of the cuboid

Here, the length of the cuboid is l = 9 cm,

the width of the cuboid is w = 4 cm

and the height of the cuboid is h = 5 cm

Using above formula,

V = l × w × h

V = 9 × 4 × 5

V = 180 cubic cm

Therefore, the required volume is 180 cubic centimeters

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Answer:

two plus two equals five

Step-by-step explanation:

The average amount of corn produced per acre represented in scientific notation is, 1.6 × 10² bushels per acre.

Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.

Given that;

Nelly owns farm land that has an area of 4.2 × 10² acres. Each year, the farm produces 6.72 × 10⁴ bushels of corn.

Hence, The average amount of corn produced per acre is,

⇒ 6.72 × 10⁴ ÷ 4.2 × 10²

⇒ 6.72 × 10⁴ / 4.2 × 10²

⇒ 1.6 × 10²

Thus, The average amount of corn produced per acre represented in scientific notation is, 1.6 × 10² bushels per acre.

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The width of the rectangle is 7.2 cm because if you divide 93.6 cm by 13 cm you will get 7.2 cm.

Brainliest please that would be nice of you(:

The equation be x²(x + y)³ - 2xy²(x + y)² then the factorization be x(x + y)²(x - y)(x + 2y).

In mathematics, the term "factorization" or "factoring" refers to the splitting apart or "factoring" of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together yield the original number, matrix, etc.

Factoring is a useful skill in real life. Examples of typical uses include splitting something into equal portions, exchanging money, comparing costs, understanding time, and performing calculations while traveling.

Let the equation be x²(x + y)³ - 2xy²(x + y)²

Factor out common term [tex]$x(x+y)^2= x(x+y)^2\left(x(x+y)-2 y^2\right)$[/tex]

[tex]$=x(x+y)^2\left(x(x+y)-2 y^2\right)$$[/tex]

Expand [tex]$x(x+y)-2 y^2= x^2+x y-2 y^2$[/tex]

simplifying the above equation, we get

[tex]$=x(x+y)^2\left(x^2+x y-2 y^2\right)$$[/tex]

Factor [tex]$x^2+x y-2 y^2=(x-y)(x+2 y)$[/tex]

= x(x + y)²(x - y)(x + 2y)

Therefore, the factorization be x(x + y)²(x - y)(x + 2y).

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G(2, -6) is reflected in the line y=-2, the image is located at G' is (2, 2).

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given that, G(2, -6) is reflected in the line y=-2.

Since y=-2 is a horizontal line, the reflection will be vertical

So (2,-6) will reflect down 6 spaces vertically.

-6 + (4×2) = (-6 + 8) = 2  

Therefore, when we establish 4 below the line we just apply ×2 as a double as its across the line each side of the line to find that below the line = 4 = 4×2 and add it to -6

Therefore, G(2, -6) is reflected in the line y=-2, the image is located at G' is (2, 2).

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Answer:

Graph of polynomial of 2nd degree,i.e,X^2

Step-by-step explanation:

Malik's mixed number is not correct and he needs to revise it to match the correct answer of 3 3/5.

A mixed number is a combination of a whole number and a fraction. It is written as a whole number followed by a fraction.

In Malik's case, the answer he found was 3 3/5, which means three and three fifths. However, he wrote the answer as 6 3/5, which means six and three fifths.

When adding a whole number and a fraction, the final result must still be a mixed number, with the whole number part representing the sum of the whole numbers and the fraction part representing the sum of the fractions.

In this case, adding 3 and 3/5 does not result in 6 and 3/5. To see this, we need to simplify the fractional part.

Dividing 5 by 5 gives us 1, so the fractional part of 3 3/5 is 1 3/5.

Adding 3 to the whole number part and 1 3/5 to the fractional part, we get 4 1/5, not 6 3/5.

Complete Question:

Malik solved a problem that had an answer of 3 3/5. He wrote his answer as the mixed number 6 3/5. Is his mixed number correct? Explain

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The scatter plot is given in the attached image below.

The correct option is D.

The straight line on a scatter plot closest to the points is called a trend line. Two points on a trend line can create an equation in slope-intercept form.

Given:

The data are shown in the table.

From the table:

When the value of x = 1, then y = 11.

And when x = 3, then y = 30.

Similarly, all the values are placed as per the data.

The scatter plot is given in the attached image.

Therefore, the plot is given below.

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Step-by-step explanation:

To determine the missing values in the Venn diagram, we can use the information from the problem to set up a system of equations. Let's assign variables to each section of the diagram:

X = number of students who play tennis only

Y = number of students who play soccer only

Z = number of students who play volleyball only

W = number of students who play tennis and soccer only

y = number of students who play tennis and volleyball only

Using the information from the problem, we can set up the following equations:

X + W + 3 = 21 (21 students play tennis)

Y + W + 4 = 16 (16 students play soccer)

Z + y + 5 = 19 (19 students play volleyball)

W + 3 = 3 (3 students play soccer and tennis)

y + 5 = 5 (5 students play volleyball and tennis)

Solving for one variable in terms of the others, we can substitute into the other equations:

X = 21 - W - 3

Y = 16 - W - 4

Z = 19 - y - 5

Substituting into the equation for W, we find:

W + 3 = 3

W = 0

Substituting W = 0 into the equations for X and Y:

X = 21 - 0 - 3 = 18

Y = 16 - 0 - 4 = 12

Finally, we can substitute X, Y, and W into the equation for Z to find:

Z = 19 - y - 5

Z = 19 - 5 - 5 = 9

So the missing values in the Venn diagram are:

Soccer: 12 students

Volleyball: 9 students

Tennis: 18 students

Soccer & Tennis: 0 students

Volleyball & Tennis: 5 students

Volleyball & Soccer: 4 students

Note that the number of students who play none of the three sports is not explicitly stated in the problem, but it can be calculated as:

13 = total number of students - (X + Y + Z + W + y)

13 = total number of students - (18 + 12 + 9 + 0 + 5)

13 = total number of students - 44

So there are 57 total middle school students

Consequently, when a1 is provided as 3 and the expression for the following term is a = 5an-1 + 1, the value of a5 is 2031.

An algebraic progression is when there is a continual difference between terms that follow each other in an series. For illustration, the decimal number 5, 7, 9, 11, 13, and 15 is an example of an algebraic expression with a tolerance of two. A advance with a set tolerance among any two consecutive numbers is referred to as a "arithmetic progression" (A.P.). Two types of algebraic progression are plausible: series in mathematics with a finite length A finite geometric evolution is a series with just a finite number of terms. The early, late, allowance, and frequency of terms may all be calculated using the terms in the series.

given

a1 = 3

a2 = 5 * 3 + 1 = 16

a3 = 5 * 16 + 1  = 81

a4 = 5* 81 + 1 = 406

a5 = 5* 406 + 1 = 2031

Consequently, when a1 is provided as 3 and the expression for the following term is a = 5an-1 + 1, the value of a5 is 2031.

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The probability that this ball is red after the jar is then shaken and one ball is randomly selected is 11/18.

There are four red balls and two white balls in a jar

P(white removed and then red is chosen)'

P = 2/6 * 5/6

= 10/36

P= 5/18

Probability that the white removed and then red is chosen is 5/18.

P(red removed and then white is chosen)

P = 4/6 * 1/2

= 4/12

= 1/3

P = 6/18

Probability that the red removed and then white is chosen is 6/18.

The probability that this ball is red,

P(red is chosen) = 5/18 +6/18 = 11/18

Therefore, The probability that this ball is red is 11/18.

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Answer:

44%

Step-by-step explanation:

33 first-year teachers

42 experienced teachers

What %  of the teachers in the meeting were Trst-year teachers?

33/(33+42)= 44%

Answer: 5

Step-by-step explanation:

Using order of operations, you multiply 1 and 3 first to get 3. Then you add 1 to it to get 4. Then add 4 to get 8 and subtract 3 to get 5.

Answer: 5

To solve this equation we must do PEMDAS.

Parentheses, Exponents, Multiply, Divide, Addition, Subtract.

There is no Paratheses, or Expenonets so first we divide 1 by 3.

Our equation would now be

1+3+4-3.

Next we Divide, once again there is no division so we move on to addition. The firs thing we add is 1+3, which is 4. Then 4 plus 4 which 8.

Our eqatuion would now be

8-3

Lastly we subtract 8-3 is 5

This means our answer is 5.

I hope this helps & Good Luck <3!!!

Table A of conditional percentages answers the question of whether the region where one lives affects whether or not one has health insurance.

Table A is the appropriate table of conditional percentages to discover if one's region of residence influences if they have health insurance.

Table A provides the overall percentage of individuals who are insured and uninsured in each region of the country. It gives a clear picture of the proportion of people in each region who have health insurance coverage. The data in this table allows us to compare the percentage of uninsured individuals across different regions.

In contrast, Table B provides the percentage of uninsured individuals among the total number of insured and uninsured individuals in each region. This type of table does not give us a clear understanding of the overall proportion of insured and uninsured individuals in each region.

Table C provides the percentage of uninsured individuals among the total population in each region. However, it does not provide a clear picture of the proportion of insured individuals in each region, which is crucial information to determine if the region where one lives affects whether or not one has health insurance.

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Complete Question: Table image has been uploaded.

The solution to the perimeter is 6.4 feet

From the question, we have the following parameters that can be used in our computation:

Side length = 1.6 ft

Shape = Square

Using the above as a guide, we have the following:

Perimeter = 4 * Side length

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 4 * 1.6 ft

Evaluate

Perimeter = 6.4 ft

Hence, the perimeter is 6.4 ft

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Complete question

2) Determine the perimeter of a square with side length 1.6 ft

what is the answer​

The inverse function of g(x) is:

f(x) =  (x - 2)^(2/3) + 3

Two functions are inverses if their composition is equal to the identity, then if f(x) is the inverse of our function, we must have that:

g( f(x) ) = x

Here we know that:

g(x) = (x - 3)^(3/2) + 2

Evaluating this in f(x) we should get:

g( f(x) = (f(x) - 3)^(3/2) + 2  = x

Now we can solve that for f(x).

(f(x) - 3)^(3/2) + 2  = x

( (f(x) - 3)^(3/2) =  x - 2

f(x) - 3 = (x - 2)^(2/3)

f(x) =  (x - 2)^(2/3) + 3

That is the inverse function.

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Answer:

x = 48.6°

Step-by-step explanation:

see photo for explanation

The surface area and weight of the cylinder is 45.1805 in² and 11.107 lbs respectively.

A cylinder is a three-dimensional geometric shape that has two parallel circular bases and a curved lateral surface connecting the bases. The bases are located at opposite ends of the cylinder, and they have the same diameter. The lateral surface is a rectangle that has been bent around the circumference of the circular bases.

The height of a cylinder is the distance between the two bases, and the diameter of the bases is the distance across the circle through its center. The volume of a cylinder can be calculated by multiplying the area of one of its bases by its height. The formula for the volume of a cylinder is:

V = πr²h

where r is the radius of the circular base and h is the height of the cylinder.

Cylinders are commonly used in many real-world applications, such as in the design of pipes, cans, and other containers. They are also commonly used in mathematics and physics, where they can serve as models for objects with cylindrical symmetry, such as pipes and wires.

In summary, a cylinder is a three-dimensional shape with two parallel circular bases and a curved lateral surface connecting the bases. The height of the cylinder is the distance between the bases, and its volume can be calculated using the formula V = πr²h. Cylinders are commonly used in real-world applications and in mathematics and physics.

The following formula can be used to determine the cylinder's volume:

V = π × r² × h = π × (d/2)² × h = π × (1.35²) × 7.45 = 42.63374 in³

The following formula can be used to get the cylinder's surface area:

A = 2πr² + 2πrh = 2π × r² + 2π × r × h = 2π × (1.35²) + 2π × 1.35 × 7.45 = 45.1805 in²

The cylinder's weight can be determined using the formula below:

W = d × V = 0.259 lbs/in³ × 42.63374 in³ = 11.107 lbs.

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The probability of winning a prize worth more than the price of playing the game is 38%.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that the percentage of the winning price is:-

Toy = 25%

Soda = 25%

Candy = 37%

Mega win = 13%

The probability of winning a prize worth more than the price of playing the game is calculated as:-

P = ( 25 + 13 ) x 100 / 100

P = 0.38 x 100

P = 38%

Therefore, the probability will be 38%.

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The graph represents the function that maps the area of the original figure to the area of the dilated figure. If the original area is 9 square units and the dilated area is x square units, then the equation y = √√x represents the relationship between the two areas. Points (B), (F), (G), and (H) are on the graph because they satisfy the equation y = √√x. Points (A), (C), and (E) are not on the graph because they do not satisfy the equation.

Answer:

Let's call the two numbers x and 5x. We know that their difference is 1016:

5x - x = 1016

Expanding and solving for x:

4x = 1016

x = 254

So, the two numbers are 254 and 5 * 254 = 1270. These are the two numbers that have a difference of 1016 and satisfy the given condition.

Step-by-step explanation:

Answer:

1+5x=1016

Step-by-step explanation:

The inequality equations of each an one described briefly with graphs.

The two expressions that make up an equation or an inequality are connected in a mathematical statement. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. The characters >, < , ≥ , or ≤ are used to denote an inequality, when the two expressions aren't always equal.

1.

y > 3x - 17

y ≤ - 4x + 11

The graph of the above inequality equations shown below:

2.

4x + 4y > - 40

-5x + 5y < 10

The graph of the above inequality equations shown below:

3.

x + 3y ≥ 31

4x - 2y > -2

The graph of the above inequality equations shown below:

4.

5x + y < 3

5x + y > 37

The graph of the above inequality equations shown below:

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Answer:

Step-by-step explanation:

[tex]5\frac{1}{2}=\frac{11}{2}\\\mathrm{So\:this\:becomes}\\2x-\frac{1}{2}=\frac{11}{2}\\\mathrm{Then,}\\(2x+\frac{-1}{2})+\frac{1}{2}=(\frac{11}{2})+\frac{1}{2}\\2x+\frac{(-1+1)}{2}=(\frac{11}{2})+\frac{1}{2}\\2x+\frac{0}{2}=(\frac{11}{2})+\frac{1}{2}\\\mathrm{Reduce}\\2x+0=(\frac{11}{2})+\frac{1}{2}\\2x=(\frac{11}{2})+\frac{1}{2}\\2x=\frac{(11+1)}{2}\\\mathrm{11+1=12,\:so}\\2x=\frac{12}{2}\\\mathrm{Prime-factorization}\\2x=\frac{(6\times 2)}{(1\times 2)}[/tex]

[tex]\mathrm{6\times2=12\:and\:1\times2=2\:so\:\frac{12}{2}\:equals\:6,}\\2x=6\\\mathrm{Now,\:divide\:by\:the\:leading\:term,\:2}\\\frac{(2x)}{2}=\frac{6}{2}\\\mathrm{Factorization}\\x=\frac{(3\times 2)}{(1\times 2)}\\\mathrm{3\times2=6\:and\:1\times2=2\:so\:\frac{6}{2}\:equals\:3,}\\x=3[/tex]

Hope this helps.

The solution to the equation 2x - 1/2 = 5 1/2 is x = 3.

Given Equation: 2x - 1/2 = 5 1/2

Step 1: Let's simplify the mixed number 5 1/2 to an improper fraction. 5 1/2 can be written as (11/2).

2x - 1/2 = 11/2

Step 2: To eliminate the fraction, multiply the entire equation by 2 to clear the denominators:

2  (2x - 1/2) = 2 (11/2)

This simplifies to:

4x - 1 = 11

Step 3: Add 1 to both sides of the equation to isolate the variable:

4x - 1 + 1 = 11 + 1

4x = 12

Step 4: Divide both sides of the equation by 4 to solve for x:

(4x)/4 = 12/4

x = 3

Therefore, the solution is x = 3.

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We can solve the inequality |8x - 7| < 9 to get the compound inequality:

-1/4 < x < 2

Here we have an absolute value inequality:

|8x - 7| < 9

The absolute value part can be "broken" into two parts, these are:

(8x - 7) < 9

(8x - 7) > -9

Now we need to solve these two.

The first one gives:

8x - 7 < 9

8x < 9 + 7

8x < 16

x < 16/8

x < 2

The other gives:

(8x - 7) > -9

8x > -9 + 7

8x > -2

x > -2/8

x > -1/4

Then we have the compound inequality:

-1/4 < x < 2

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Therefore , the solution of the given problem of expression comes out to be  there is no value of x which can make equation true.

Mathematical operations like addition, multiplication, variables and proliferation, and division are necessary. They result in the following when combined: An equation, some information, and a mathematical operator Values, parameters, and operations like additions, subtraction, multiplication, and division are all included in a statement of fact. Different sentences and words can be contrasted and compared.

Here,

Given :

Expression  is :

=> (1/64)ˣ / 2 + 1 = (1/16)ˣ / 3  -3

=>  (1/64)ˣ / 2 + 4 = (1/16)ˣ / 3

=> ( (1/64)ˣ  + 8  ) / 2  = (1/16)ˣ / 3

=> (1/64)ˣ  + 8   = (1/16)ˣ 2 / 3

=> (1/4)³ˣ + 8 = (1/4)²ˣ * 2/3

=> 8 = (1/4)²ˣ ( 2/3 + (1/4)ˣ )

So,

We found that there is no value of x which can make equation true.

Therefore , the solution of the given problem of expression comes out to be  there is no value of x which can make equation true.

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The value of x include the following: B. 52/3.

In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.

By applying the basic proportionality theorem to the given triangle, we have the following:

3x/4x = (3x + 7)/(5x - 8)

By cross-multiplying, we have the following:

3x(5x - 8) = 4x(3x + 7)

15x² - 24x = 12x² + 28x

3x² = 52x

3x = 52

x = 52/3.

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According to the information, it can be inferred that the F bacterium had a greater growth over time. Additionally, the population of G si will exceed the population of F because it has an x exponent.

The functions express the relationship between the number of bacteria and time. In accordance with the above, the function of the bacterium A, expresses that the number of bacteria grows 36 individuals every hour.

On the other hand, the function of B expresses that the individuals grow exponentially in 3. According to the above, at some point the exponent of 3 will be so great that it will be able to exceed the number of individuals of A. (not in the first four hours).

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