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3 years ago

The length of a rectangle is 6m longer than its width. If the perimeter of the rectangle is 52m, find its area

1 answer:

4 0

If length is x, then width is 6+x
Perimeter = 2*(x + 6+x) = 52 
2*6 + 2*2x = 52 
4x = 52 - 12 = 40 
x = 40/4 = 10 

Area = length*width = 10*(6+10) 
Area = 10*16 = 160 meter square

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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

$y=32.5(12)+11.95$

$y=\$401.95$

3 0

3 years ago

A supermarket reduced the price per pound whole chicken by 20%. How many pounds of chicken can now be purchased for the amount o

nignag [31]

Answer:

25 pounds

Step-by-step explanation:

Let us assume that initially, 1 pound of whole chicken costs x.

So, initially 20 pounds of whole chicken costs 20x.

Now, the price is reduced by 20%.

That means that 1 pound of whole chicken now costs $x[1-\frac{20}{100} ]=0.8x$

Therefore, with a 0.8x amount of money, we can now purchase 1 pound of the whole chicken.

Hence, with a 20x amount of money, we can now purchase $\frac{20x}{0.8x}=25$ pounds of the whole chicken.

4 0

3 years ago

HELP PLEASE I WILL MARK YOU AS A BRAINLIEST THANK YOU!!!

nikdorinn [45]

Answer:

try b

Step-by-step explanation:

7 0

3 years ago

Create a proportion using the form %/100 = is/of = to represent the following word problem. 78% of what number is 42?

Aliun [14]

Answer:

.78 x = 42

x = 42 / .78

The number is 53.8461538462

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Please help if you can thanks ^^

Neko [114]

Given:

AD is an angle bisector in triangle ABC. $m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ$ .

To find:

The value of $m\angle ADC$ .

Solution:

AD is an angle bisector in triangle ABC.

$m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}$

$m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}$

$m\angle CAD=m\angle BAD=22^\circ$

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property in triangle CAD, we get

$m\angle CAD+m\angle ADC+m\angle ACB=180^\circ$

$22^\circ+m\angle ADC+72^\circ=180^\circ$

$m\angle ADC+94^\circ=180^\circ$

$m\angle ADC=180^\circ-94^\circ$

$m\angle ADC=86^\circ$

Therefore, the angle of angle ADC is $86^\circ$ .

3 0

3 years ago