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Zinaida [17]
3 years ago
15

Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 120.

Mathematics
1 answer:
RSB [31]3 years ago
4 0

Answer:

Inequality : 4x+8 < 120

x<28

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a rectangle (P)= 2 length +2 width

Where:

Width = x

Length = x+4

Replacing with the values given

P = 2 (x+4) + 2x

P = 2x+8+2x

P=4x+8

Since the perimeter of the rectangle must be less than 120:

4x+8 < 120

Solving for x

4x<120-8

4x<112

x<112/4

x<28

Feel free to ask for more if needed or if you did not understand something.  

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A department store buys 500 shirts at a cost of $3,500 and sells them at a selling price of $10 each. Find the percent markup.​
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Answer: 30 percent.

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Sandra bought 30 T-shirts at the clothing store. 20% of the T-shirts were blue and half of the T-shirts were black. How many of
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8 0
4 years ago
Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 10 percent simple interest per year.
Nostrana [21]

Answer:

<h2>$ 22200 in higher yielding bank and $ 44400 in lower yielding bank</h2>

Step-by-step explanation:

       Jolene invests in two bank accounts. The first account gives a 4% interest per year and the second bank gives a 10% interest rate per year.

       She puts twice as much in the lower yielding bank account. Let us denote the amount put in high yielding bank account by x. Lower yielding bank account will have 2x.

       Interest\text{ }per\text{ }year=Principal\times Interest\text{ }rate

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Total Interest per year = $ 3996 = \dfrac{8x}{100} +\dfrac{10x}{100}=\dfrac{18x}{100}

x=22200 \$

∴ Jolene invested $ 22200 in higher yielding bank and $ 44400 in lower yielding bank.

4 0
3 years ago
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