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Bumek [7]
4 years ago
13

What is the unit rate of 5/8 square foot in 1/4 hour

Mathematics
2 answers:
cluponka [151]4 years ago
6 0
<span><span>1.       </span>5/8 square foot in ¼ hour. Find the unit rate.
Since the given numbers are fraction, let’s convert these into decimals to be able to get the correct unit rate.
=> 5/8 = 0.625 or 0.63 square foot.
=> ¼ = 0.25 hour or 15 minutes.
=> 0.625
now, let’s show the unit rate of 5/8 square foot in ¼ hour.
=> 0.63 square feet / 15 minutes
Divide the square feet value by 15
=> 0.042 square feet / minute</span>



katrin [286]4 years ago
4 0
If you would like to know what is the unit rate, you can calculate this using the following steps:

1 hour = 60 minutes

5/8 square foot ... 1/4 hour = 1/4 * 60 minutes = 15 minutes
x square foot = ? ... 1 minute

5/8 * 1 = 15 * x
5/8 = 15 * x       /15
x = 5/8 / 15
x = 5/8 * 1/15
x = 1/24 = 0.04 square foot

The correct result would be 1/24 square foot per one minute.
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The value of a collectible toy is increasing exponentially. The two points on the graph
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The question is incomplete. Here is the complete question.

Part A

The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward.

Express the toy's value t, in dollars, as a function of time w in weeks after purchase.

Part B

Write an expression to represent the toy's value 10 days after purchase

Answer and Step-by-step explanation: An exponential function is of the form: y=ab^{x}

<u>Part</u> <u>A</u>

Translating to the question, the toy's value as a function of time is

t=ab^{w}

To determine constants a and b, we use points given by graph.

First, (0,5) to find a:

5=a.b^{0}

a = 5

Now, (3,10) to determine b:

10=5b^{3}

b=\sqrt[3]{2}

b = 1.26

The toy's value as a function of time in weeks is t=5.(1.26)^{w}

<u>Part</u> <u>B</u>

Since, the function is in weeks:

1 week = 7 days

w weeks = 10 days

w = \frac{10}{7}

Replacing w:

t=5.(1.26)^{w}

t=5.(1.26)^{10/7}

Expression that represents toy's value after 10 days is t=5.(1.26)^{10/7}.

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3 years ago
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Answer:

2

Step-by-step explanation:

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Answer:

m=2/3.

Step-by-step explanation:

the equation for slope is y=mx+b, where m is slope. So, 2/3 is your slope.

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so
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point A is inside the shaded area

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the point A

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UkoKoshka [18]

Answer: The correct option is figure (1).

Explanation:

Reason for correct option:

The figure (1) shows the reflection across the side XY followed by reflection across the side YT.

When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.

After that we reflect the triangle XYT across the side YT and we get the triangle PYT.

Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.

Reason for incorrect options:

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