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DanielleElmas [232]
3 years ago
12

The rectangle graphed has a length of 3 and a width of 2. How does the perimeter change if the width is increased by 4? A) The p

erimeter is doubled. B) The perimeter is increased by 4. C) The perimeter is increased by 6. D) The perimeter is increased by 8.
Mathematics
1 answer:
storchak [24]3 years ago
4 0

Answer:

The answer to your question is the letter D.

Step-by-step explanation:

Data

First rectangle                       Second rectangle

length = 3                               length = 3

width = 2                                 width = 2 + 4 = 6

Process

1.- Calculate the Perimeter of the first rectangle

Perimeter = 2l + 2w

Perimeter = 2(3) + 2(2)

                 = 6 + 4

                 = 10

2.- Calculate the perimeter of the second rectangle

Perimeter = 2(3) + 2(6)

Perimeter = 6 + 12

Perimeter = 18

3.- Compare both perimeters

                Perimeter 1 is smaller than Perimeter 2 by 8 units

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Hope that helped.

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Good luck on yourself timed exam!
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Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total
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Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

x+450

To calculate the total interest we need to calculate the interest of each individual account and sum them:

\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}

The total interest is the sum of the two expressions above:

\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

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zavuch27 [327]

C

I think this is the right answer

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