MATHEMATICS HIGH SCHOOL

ANSWER ALL (a-d) FOR 24 POINTS - EASYa. Write an expression for the perimeter a playground using the formula for perimeter.


b. The width of a playground is 20 yards more than six times the length. Write an expression for the perimeter using this information.


c. Write an equation using the expression from parts a and b. Solve the equation for L.


d. If the playground's width is 32 yards, what is the length?

Answers

Answer 1
Answer: Part a.

The perimeter formula is: P = 2w + 2L

Your answer for part A is P = 2w + 2L


Part b.

They tell us in part b, that:
w = 6L + 20

Substitute that into what we got for part a.

P = 2(6L + 20) + 2L
P = 12L + 40 + 2L
P = 14L + 40

Your answer for partb is P = 14L + 40


Part c.

So we take what we got from part b, and solve for L.

P = 14L + 40
14L = P - 40

L = \boxed{(P-40)/(14)}

That is your answer for part 3 ^


part d.

Plug in w = 32 into what we first got in part b.

w = 6L + 20
32 = 6L + 20
6L = 12

L = 2

Your answer for part d is L = 2

:D

Related Questions

Perform the indicated operation. 5/4 + 7/9
A 4.0-kg cart moving due east at 9.0 m/s collides with a 3.0-kg cart moving due west. The carts stick together and come to rest after the collision. What was the initial speed of the 3.0-kg cart?
The sum of a number is 17 and their difference is 3 find the number​
The area of a regular decagon is 42 CM. what is the area of a regular decagon with sides 8 times as long?? Plz explain your answer!!! Choices area 2688,336,3360,672
-3a+6b=a+4b I need to solve this please.

Please help me on this will give you brainliest

Answers

Answer:

876

Step-by-step explanation:

since i helped can i have brainlist please :D

This is to help my wonderful mother. What is 1/3rd of 4 1/2s and 8 1/4s?

Answers

4 1/2 = 9/2
8 1/4 = 33/4

1/3 x 9/2 = 3/2
1/3 x 33/4 = 33/12

In the first 3 days of class, daunte lost 2 pencils. if daunte keeps losing pencils at the same rate for 60 days of class,how many pencils will he lose

Answers

Answer: He would lose 40 pencils in 60 days.

Step-by-step explanation:

Since we have given that

Number of days = 3

Number of lost pencils = 2

If the number of days = 60

Then, the number of lost pencils would be 'x'.

Since there is direct variation between number of days and number of lost pencils.

So, it would be

(3)/(2)=(60)/(x)\n\n3x=60* 2\n\nx=(120)/(3)\n\nx=40

Hence, he would lose 40 pencils in 60 days.
He would lose at least 40 pencils.

To get from home to work, Felix can either take a bike path through the rectangular park or ride his bike along two sides of the park. How much farther would Felix travel by riding along two sides of the park than he would by taking the path through the park?

Answers

Answer:

c=5.9/6(G)

Step-by-step explanation:

first find the 2 distances.

a^2+b^2=c^2                    c=2.4+.7              

7^2+2.4^2=c^2                  c=3.1

.49+5.85=c^2                    

c^2=6.34

c=√6.34

c=2.51.

next subtract the two distances to find the difference.

c=2.51-3.1

c=.59

so the distance would be .59 which can be rounded up to .60/G

explanation on how I knew the answer.

Im reviewing for the math 8th grade staar.

You and your friends pick up seven movies to watch over a holiday. You have time to watch only two. In how many ways can you select the two to watch?

Answers

Answer:

There are 21 ways to select the two movies to watch.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=(n!)/(k!(n-k)!)

It is provided that there are n = 7 movies to watch.

But we only have time for k = 2.

Compute the total number of ways in which we can select 2 movies from 7 as follows:

{7\choose 2}=(7!)/(2!(7-2)!)

    =(7!)/(2!* 5!)\n\n=(7* 6* 5!)/(2!* 5!)\n\n=(7*6)/(2* 1)\n\n=21

Thus, there are 21 ways to select the two movies to watch.

Helpppp plz will give brainliest

Answers

11x = 44
X=4
44 + 7 = 51


5x = 20
31 + 20 =51

51 = 51
Other Questions
If f(x) = 3x2 – 4 and g(x) = 2x – 6, what is g(f(2))?O-16o -2O 80 10
The figure shows a circle inscribed in a triangle.A circle is inscribed within a triangle. To construct the inscribed circle, angle bisectors were first constructed at each angle of the triangle. Which happened next? A circle was constructed using the intersection of the angle bisectors as the center of the circle and the obtuse vertex as a point on the circumference of the circle. A circle was constructed using a vertex as the center of the circle and the intersection of the angle bisectors as a point on the circumference of the circle. Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed. Segments bisecting each side of the triangle were constructed through the intersection of the angle bisectors.
Name the property used to make the conclusion. If x=y and y=4, then x=4.
A) dilations always increase the length of line segmentsB) dilations take right angles to right anglesC) dilations of an angle are congruent to the original angleD) dilations increase the measure of anglesE) dilations of a triangle are congruent to the original triangleF) dilations dilations of a triangle are similar to the original triangle​