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Gelneren [198K]
3 years ago
5

Mr. Willis is building a new dock at his lake house that will be 35 feet long. If the blueprints show the dock as 16 inches long

, what scale was used to create the blueprint?
Mathematics
1 answer:
Oliga [24]3 years ago
7 0

Answer:

1:26.25

Step-by-step explanation:

Scale = 16 in:35 ft

Convert 35 ft to inches

1 ft = 12 in

35 × 12/1 = 420 in

Scale = 16 in:420 in     Divide each term by 16

Scale =      1:26.25

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6/10 or 3/5

Step-by-step explanation:

4/5 = 8/10

8/10 - 2/10 = 6/10 or 3/5

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3 years ago
A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (
denis-greek [22]

Answer:

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

Step-by-step explanation:

Let the

Number of ml of 40% sugar = x

Number of ml of 85% sugar used = y

From the above question, our system of equations is given as:

x + y = 1800mL ....... Equation 1

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

0.4x + 0.85y = 1080.... Equation 2

We substitute 1800 - y for x in Equation 2

0.4(1800 - y) + 0.85y = 1080

720 - 0.4y + 0.85y = 1080

- 0.4y + 0.85y = 1080 - 720

0.45y = 360

y = 360/0.45

y = 800mL

Solving for x

x = 1800 - y

x = 1800 - 800

x = 1000mL

Therefore,

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

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2 years ago
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