Find the dimensions of a rectangle whose perimeter is 24 feet and whose area is 27 square feet.

PLEASE HELP ASAP GIVING BRAINLIEST

Lady_Fox [76]

Answer:

Part 1) $y=32.5x+11.95$

Par 2) see the explanation

Part 3) $\$401.95$

Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept (one-time processing fee)

In this problem we have

$b=\$11.95$

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values in the formula

$m=\frac{239.45-141.95}{7-4}$

$m=\frac{97.5}{3}$

$m=32.5$

substitute the values in the linear equation

$y=32.5x+11.95$

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

$m=\$32.5\ per\ ticket$

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time processing fee

$b=\$11.95$

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

$y=32.5(12)+11.95$

$y=\$401.95$

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4 years ago

Decimal to percentage

Lostsunrise [7]

To convert a decimal to a percent, multiply the decimal by 100, then add on the % symbol. An easy way to multiply a decimal by 100 is to move the decimal point two places to the right. This is done in the example below. Each decimal in Example 1 went out two places to the right of the decimal point.

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3 years ago

Read 2 more answers

Factor by grouping m(2a+b)-n(2a+b)+2n(2a+b)

lys-0071 [83]

The factored expression of m(2a+b)-n(2a+b)+2n(2a+b) is (m + n)(2a + b)

<h3>How to factor the expression?</h3>

The expression is given as:

m(2a+b)-n(2a+b)+2n(2a+b)

Factor out 2a + b

m(2a+b)-n(2a+b)+2n(2a+b) = (m - n + 2n)(2a + b)

Evaluate the like terms