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alexandr1967 [171]

2 years ago

5

the length of a rectangle is one more than four times its width. If the perimeter of the rectangle is 62 meteres, fing the dimen

sions of the rectangle

1 answer:

Andrews [41]2 years ago

7 0

Length (L): 4w + 1

width (w): w

Perimeter (P) = 2L + 2w

62 = 2(4w + 1) + 2(w)

62 = 8w + 2 + 2w

62 = 10w + 2

60 = 10w

6 = w

Length: L = 4w + 1 → 4(6) + 1 → 24 + 1 → 25

Answer: 6 meters x 25 meters

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$\huge \dag \sf{Answer \: is}$

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The function below represents the annual interest Alexander earns on a savings account.

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2 years ago

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Step-by-step explanation:

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3 years ago

Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent th

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Answer:

There are 6 coins in nickels and 9 coins in quarters.

Step-by-step explanation:

Now, to find the solution.

According to question:

The number of nickels = $x$ .

The number of quarters = $y.$

So, the total number of coins:

$x+y=15.$

He had 3 more quarters than nickels.

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$y=x+3$ .....(1)

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$x+y=15$

Substituting the equation (1):

$x+(x+3)=15$

$x+x+3=15$

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<em>Subtracting both sides by 3 we get:</em>

<em /> $2x=12$ <em />

<em>Dividing both sides by 2 we get:</em>

$x=6.$

<em>The number of nickels = 6.</em>

Now, substituting the value of $x$ in equation (1):

$y=x+3\\\\y=6+3\\\\y=9.$

<em>The number of quarters = 9.</em>

Thus, there are 6 coins in nickels and 9 coins in quarters.

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3 years ago