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Fiesta28 [93]
3 years ago
13

He length of a rectangle is three times its width. The perimeter of the rectangle is at most 112 cm.

Mathematics
2 answers:
g100num [7]3 years ago
8 0
The equation relating length to width
L = 3W
The inequality stating the boundaries of the perimeter
LW <= 112
When you plug in what L equals in the first equation into the second equation, you get
3W * W <= 112
evaluate
3W^2 <= 112
3W <= 4 \sqrt{7}
W <= \frac{4 \sqrt{7} }{3} cm
Semenov [28]3 years ago
8 0

Answer:

the answer is 2w+2*(3w)≤112

Step-by-step explanation:

If the rectangle is three times the width and the perimeter is 112 cm then we do 2w+2*(3w)≤112 since it is bigger or the same as 112

btw the other guy is so wrong

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You are the administrator of an annual essay contest scholarship fund. This year a $80,000 college scholarship is being divided
Hatshy [7]

Answer:

Runner Up Amount=$16,000

Winner Amount=$64,000

Step-by-step explanation:

Amount of the college's scholarship=$80,000

The fund is being divided between the top two contestants so that the winner receives four times as much as the runner-up.

Therefore: we can say it is being divided into 5 parts where the winner gets 4 parts and the runner up gets 1 part, i.e in the ratio 4:1.

Runner Up Amount=\dfrac{1}{5}X\$ $80,000=\$16000

Winner Amount=\dfrac{4}{5}X\$ $80,000=\$64000

The winner gets $64,000 and the runner up gets $16,000.

7 0
3 years ago
A student has 10 coins in her pocket that have a value of $0.85. The coins are either
il63 [147K]

Answer:

\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = number of nickels in the student's pocket

y = number of dimes in the student's pocket

Each nickel has a value of $0.05, so x nickels have a value of 0.05x

Each dime has a value of $0.10, so y dimes have a value of 0.10y

The student has a total of 10 coins, thus:

x+y=10

The total value of the coins is $0.85, thus

0.05x+0.10y=0.85

The system of linear equations that represents this scenario is:

\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.

5 0
3 years ago
If you bought m yogurt cups at $2 each and paid with $50 what is your change
IceJOKER [234]
Change = 50 - 2m

hope it helps
6 0
3 years ago
Read 2 more answers
| x+8 | = 5<br><br><br> PLEASE, HELP ME!!!!!!! THE LINES ARE ABSOLUTE VALUE!!!!!
lara [203]
|x+8|=5
then x+8= 5 or -5
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6 0
3 years ago
Find the GCF of 4y and 12y
love history [14]

Answer:

4

Step-by-step explanation:

The factors of 4 are: 1, 2, 4

The factors of 12 are: 1, 2, 3, 4, 6, 12

Then the greatest common factor is 4.

Hope this helps! :D

Please mark brainlist

7 0
3 years ago
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