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LuckyWell [14K]
3 years ago
6

The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. If the length of the garden is 24ft long

er than the width of the garden, what is the area of the garden in square ft? A)9 B)33 C)84 D)297
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer: the area of the garden is 297 ft^2

Step-by-step explanation:

The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. This means that the total distance around the restaurant is 84ft.

Perimeter of a rectangle is expressed as 2(L + W)

L = length of the rectangle

W = width of rectangle.

Since the perimeter is 84ft

2(L + W) = 84

If the length of the garden is 24ft longer than the width of the garden, this means that

L = W + 24

Therefore

2(W +24 + W) = 84

2(2W +24) = 84

4W + 48 = 84

4W =84 - 48 = 36

W = 36/4 = 9

L = W + 24 = 9+24

L = 33 feet

Area if a rectangle is expressed as

Area = L× W

Area = 33 × 9 = 297 ft^2

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3p + 4r = q

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3 years ago
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Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each
Sindrei [870]

Answer:

After 3 weeks they both will have the same amount in their savings account.

Step-by-step explanation:

Given:

Amount saved by Haley = $155

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Amount spending each week by Hank = $15

We need to find Number of weeks when both both will have same amount in savings account.

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Let Number of week be 'x'.

Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.

framing in equation form we get;

Total Amount of Haley = 155+10x

Also;

Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.

framing in equation form we get;

Total Amount of Hank = 230-15x

Now we need to find the number of weeks when both will have same amount.

To find the same we will have to make both the equation equal.

So we can say.

155+10x=230-15x

On Solving above equation we get;

We will combine the like terms together;

10x+15x =230-155\\\\25x = 75

Now Dividing both side by 25 using Division property of equality we get;

\frac{25x}{25} = \frac{75}{25}\\\\x=3 \ weeks

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4 0
2 years ago
Running out of time! Please help and show work! Thank you! Will mark brainliest!
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<h3>​(-3j²k³)²(2j²k)³</h3>

(-3j²k³)²(2j²k)³ = <em>When a power is raised to a power the exponents have to be multiplied.​</em>

​= (-3²j⁽²*²⁾k⁽³*²⁾)(2³j⁽²*³⁾k³) = <em>We can take out the constants</em>

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5 0
3 years ago
Jackson is two times older than Shelly. If the sum of their ages is 18, how old is Jackson?
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Answer: jackson is 12

explanation:
let the age be represented by x
jackson is 2 times older than shelly so
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since the sum of their ages is 18 then:
2x + x = 18

solve:
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x = 6

so now we know shelly is 6

jackson is 2 times older than her so:
2(6) = 12

6 0
2 years ago
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