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2 years ago

The perimeter of a rectangle is 84 Centimeters. the length is twice the width. find the length and width

Mathematics

1 answer:

KatRina [158]2 years ago

6 0

Length= 28
Width= 14

Work:

2(2x)+2(x)=84
4x+2x=84
6x=84
x=14

14x2=28 (length)

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Estimate 874,238 – 228,759 using front-end estimation.

Vikki [24]

i believe it is 645, 500 !

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2 years ago

At one gym, there is a $12 start-up fee, and after that each month at the gym costs $20. At another gym, it costs $4 to startup,

mart [117]

Answer:

In 4 months the cost of both gyms will be the same.

Step-by-step explanation:

At first we need to model the function to calculate the cost of the 2 gyms.

Slope-intercept equation of linear function

$f(x)=mx+b$

where

$m\rightarrow$ slope of line

$b\rightarrow$ y-intercept

Let linear function to calculate total cost of gym be:

$c(n)=mn+b$

where

$c\rightarrow$ total cost of gym

$m\rightarrow$ cost per month (slope)

$n\rightarrow$ number of months

$b\rightarrow$ start-up fee (y-intercept)

For Gym 1

$m=20$ , $b=12$

$c(n)=20n+12$

For Gym 2

$m=22$ , $b=4$

$c(n)=22n+4$

In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months $(n)$

$20n+12=22n+4$

$\\\textrm{Subtracting 22n from both sides}\\20n-22n+12=22n-22n+4\\-2n+12=4\\\textrm{Subtracting 12 from both sides}\\-2n+12-12=4-12\\-2n=-8\\\textrm{Dividing both sides by -2}\\\frac{-2}{-2}n=\frac{-8}{-2}\\n=4\textrm{ months}$

So,

In 4 months the cost of both gyms will be the same.

5 0

3 years ago

Solve the system of equations 2x + 3y = 40 and –2x + 2y = 20.

Flura [38]

2x + 3y = 40
+
-2x + 2y = 20
___________ Adding both equations

0x + 5y = 60
____________

5y = 60
y = 60/5 = 12

y = 12.

Since we have gotten y =12, and the only option with that is option D.

So we don't have to solve for x.

<span>The answer is D.</span>

7 0

3 years ago

Find the area of the circle. Round your answer to the nearest hundredth.<br> 3 in.

Vilka [71]

Answer:

28.27 in²

Step-by-step explanation:

The area of a circle is dependent on only one variable: the radius:

A = πr²

If the radius is 3 inches, as you seem to indicate, then:

A = π(3 in)² = 9π in² = 28.27 in²

7 0

2 years ago

Valerie drives to and from work 5 days a week. The distance from her home to work is 6 miles. Over the course of 5 days, her car

bazaltina [42]

Hey there
______________
The correct answer is
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Now we need to know how much gas she uses.

_________________
Hope this helps you

7 0

3 years ago