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murzikaleks [220]
3 years ago
13

A homeowner puts a patio in the northwest corner of a square backyard. The area of the patios is 750

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

17.6621ft²

Step-by-step explanation:

First we need to find the side length of the patio x

SInce the area of the patio = 750

Area of patio = x * x

Area of patio = x²

750 = x²

Swap

x² = 750

x = √750

x = 27.39ft

Length of the backyard = 27.39ft - 25ft = 2.39ft

Width of the backyard = 27.39ft - 20ft = 7.39ft

Area of the backyard = 2.39 * 7.39

Area of the backyard = 17.6621ft²

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3 years ago
The budget for a remake of a movie is 100 times the budget of the original movie. The original movie's budget was 10^5 dollars.
Arte-miy333 [17]

Answer:

100,000,000

Step-by-step explanation:

10*10=100*10=1000*10=10000*10=100000*10=1000000*100=100,000,000

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2 years ago
Read 2 more answers
Kate bought a T-shirt for $12.95 and a pair of shorts for $10.95. She paid 6.25% in tax. What is her total amount that she paid?
sergeinik [125]

Kate paid $25.39 for her purchases.

Kate will receive $24.61 in change.

Step-by-step explanation:

Given,

Cost of t-shirt = $12.95

Cost of pair of shorts = $10.95

Total = cost of t-shirt + cost of pair of shorts

Total = 12.95 + 10.95 = $23.90

Sales tax = 6.25% of total amount

Amount of sales tax = \frac{6.25}{100}*23.90=\frac{149.375}{100}

Amount of sales tax= $1.49

Total amount with sales tax = 23.90 + 1.49 = $25.39

Kate paid $25.39 for her purchases.

Amount paid = $50

Change received = Amount paid - Bill amount

Change received = 50 - 25.39 = $24.61

Kate will receive $24.61 in change.

Keywords: sales tax, addition

Learn more about addition at:

  • brainly.com/question/11584312
  • brainly.com/question/116059

#LearnwithBrainly

3 0
3 years ago
Translate to a system of equations:
omeli [17]

Answer:

m + n = 15

m - 3 = n

The numbers are 9 and 6

Step-by-step explanation:

From the question,

The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that

m + n = 15 ..... (1)

Also, from the question,

One number is three less than the other,

Also, to translate to a system of equations, we can write that

m - 3 = n ...... (2)

If desired, we can determine m and n

From equation (1)

m + n = 15

Then,

m = 15 - n ...... (3)

Put the value of m in equation (3) into equation (2)

m - 3 = n

Then

15 - n - 3 = n

15 - 3 = n + n

12 = 2n

n = 12/2

∴ n = 6

For m, put the value of n into equation 3

m = 15 - n

m = 15 - 6

m = 9

∴ m = 9 and n = 6

Hence, the numbers are 9 and 6

3 0
3 years ago
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