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seropon [69]
2 years ago
8

An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an

office in the building will have actual dimensions of 14 feet by 24 feet. What will the dimensions on the blueprint be?
A.
105 inches by 180 inches
B.
21.5 inches by 31.5 inches
C.
6.5 inches by 16.5 inches
D.
1.87 inches by 3.2 inches
Mathematics
1 answer:
11111nata11111 [884]2 years ago
5 0

Since we know the scale factor of 1 inch represents 7.5 feet, we can plug in the dimensions for the scale on which the architect drew.

For 14 feet, we can multiply 14 by 1 inch/7.5 feet to get a product of 1.87 inches. Then, we can do the exact same thing with the other width of the floor, which is 24. 24 × 1/7.5 = 3.2

The final dimensions of the blueprint will be D, 1.87 inches by 3.2 inches.

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Paul has $145 in his savings account. He earns $36 a week mowing lawns. If Paul saves all of his earnings, after how many weeks
Lemur [1.5K]

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount (C_{o}), measured in monetary units, and week earning (R), measured in monetary units, multiplied by a number of weeks (n), dimensionless:

C =C_{o} + n\cdot R (1)

Now we clear the number of weeks within the formula:

n = \frac{C-C_{o}}{R}

If we know that C_{o} = \$\,145, C = \$\,450 and R = \$\,36, then the number of weeks is:

n = \frac{\$\,450-\$\,145}{\$\,36}

n = 8.472

Paul will have no more than $ 450 in next 8 weeks.

8 0
3 years ago
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A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
lapo4ka [179]

9514 1404 393

Answer:

  65.52 square feet

Step-by-step explanation:

The area of a rhombus is half the product of the diagonals.

  A = (1/2)ab

  A = (1/2)(12.6 ft)(10.4 ft) = 65.52 ft²

The area of the farm is 65.52 square feet.

6 0
2 years ago
A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. Which map i
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Answer:

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Its just like fractions, which ever one is lower has the greater value in ratio

3 0
2 years ago
A recipe calls for 2 3/4 cups of sugar and 4 1/3 cups of flour. How many cups of sugar are used for every 1 cup of flour?
worty [1.4K]

4 1/3 cup of flour = 2 3/4 cup of sugar

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6 0
3 years ago
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Answer:

Let them be "x"

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x= 2000/8

x= 250

5* 250= 1250.

3*250= 750.

5 0
2 years ago
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