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aleksley [76]
3 years ago
7

In a rectangle, the perimeter is 102 inches. The width of the rectangle is 9 inch more than half the

Mathematics
1 answer:
Harrizon [31]3 years ago
7 0

perimeter = 2width + 2 length

102 = 2(x+9) + 2x

102 = 2x + 18 +2x

102 = 4x +18

84 = 4x

21 = x

Length = x = 21 inches

Width = x + 9 = 21 + 9 = 30 inches

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Write 10 12/5 as an equivalent improper fraction
romanna [79]
10 \frac{12}{5} = \frac{(10 X 5 ) + 12}{5} 
= \frac{62}{5}
8 0
4 years ago
URGENT PLEASE HELP 45 POINTS! Complete this activity. Given: f(x) = x + 2 <br><br> [f(x)] 2 =
ivanzaharov [21]

We are told that f(x) = x + 2. We want to find (f(x))^{2}.

Squaring f(x) on one side means we square x + 2 on the other.

So,

f(x) = x + 2

(f(x))² = (x + 2)²

= (x + 2)(x + 2)

We can use FOIL to square x + 2. The first terms multiply to x², the outside terms to 2x, the inside terms to 2x and the last terms to 4.

= x² + 2x + 2x + 4

= x² + 4x + 4


So [f(x)]² = x² + 4x + 4

3 0
3 years ago
Luke has two summer jobs. During the week he works in the grocery store, and on the
TiliK225 [7]

Hello! First, let's get some important information:

Luke works in the:

  • week → grocery store → $16/hour
  • weekend → nursery → $22/hour

Now, let's analyze the questions:

<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>

To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

\mathrm{Grocery\:Store}\\\\\$16 \cdot 5 \:\mathrm{hours}= \$80\\\$22 \cdot 8\:\mathrm{hours}=\$176

<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>

\$16 \cdot \mathrm{g} \:\mathrm{hours}= \$16\cdot\mathrm{g}\\\$22 \cdot \mathrm{n}\:\mathrm{hours}=\$22\cdot\mathrm{n}

<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>

You'll just have to just add the value in each of the jobs:

$80 + $176 = $256

<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>

Adding the values of each job:

$16g + $22n

Hope this helps!

8 0
3 years ago
What are 1<br> ways to make 98
Anna35 [415]
90 + 8 ? What are you asking? :)
7 0
3 years ago
Replace each * with a number to make */24 &gt; 1/4&gt; 4/* a true statement
zzz [600]

Answer:

first * can be any number greater than 6

second * can be any number larger than 16

Step-by-step explanation:

take each part alone:

  • */24 > 1/4

multiply by 24 in both sides → * > 6

  • 1/4 > 4/*

multiply by 4 in both sides → 1 > 16/*

take * to first side → * > 16

there is no specific answers you can go with 8 and 18

4 0
3 years ago
Read 2 more answers
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