Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?

Answer:

$x \le 18$

Step-by-step explanation:

Given

$Border\ Material = 72$

Required

Determine an inequality for x

Represent the side lengths of the border with y. So:

Since the border is on the 4 sides, then

$4y = 72$ -- i.e. the perimeter of the border material

Solve for y

$y =\frac{72}{4}$

$y =18$

Recall that x represents the board's side length.

Since x will be situated inside the boarder, then.

$x \le y$

Substitute $y =18$

$x \le 18$

6 0

3 years ago

The difference of 13 and 5 times a number is 3.

Artemon [7]

Answer:

Step-by-step explanation:

13-5x =3

-13 -13

-5x = -10

-5 -5

x=2

3 0

4 years ago

Read 2 more answers

Help please !!!!<br> 1 . What is the mean of the data set?

Lesechka [4]

Means can be translated to average
average= total number/number of objects or numbers
so the answer is 393, 399, 402,402,407, 410, 424, 425, 428 all added together then divided by 9
if we use a calculator to add them up we get 3690
then divide by 9
3690/9=410
410 is the mean

6 0

4 years ago

Read 2 more answers

M<ZHG = 11x - 1, m<ZIHZ=24°<br>and m<IHG = 12x + 13. Find m<IHG.

nasty-shy [4]

Answer:

m<IHG=133°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m<ZHG+m<IHZ= m<IHG -----> by angle addition postulate

substitute the given values and solve for x

11x-1+24=12x+13

Combine like terms

11x+23=12x+13

Group terms that contain the same variable

12x-11x=23-13

x=10

Find the measure of angle IHG

substitute the value of x

m<IHG= 12(10)+13 =133°

8 0

4 years ago