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sweet [91]
3 years ago
11

Sierra applies a coat of epoxy paint to the four sides and floor of a rectangular swimming pool. The pool is 4 feet deep, 18 fee

t long, and 12 feet wide. One gallon of paint covers 155 square feet. Does sierra use 3 gallons of paint or 4 gallons of paint? Explain
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0

Answer:

4 gallons of paint

Step-by-step explanation:

We solve using the formula for surface area of rectangular prism.

A=2(wl+hl+hw)

Where:

w = Width

h = Height

l = Length

The pool is 4 feet deep, 18 feet long, and 12 feet wide.

Hence,

=2 × (12 × 18 + 4 × 18 + 4 ×12)

=672 square feet

One gallon of paint covers 155 square feet.

Hence,

155 square feet = 1 gallon of paint

672 square feet = x

Cross Multiply

155 square feet × x = 672 square feet × 1 gallon of paint

x = 672 square feet × 1 gallon of paint/ 155 square feet

x = 4.335483871 gallons of paint

Therefore, based on the calculation above, approximately to the nearest whole number, Sierra uses 4 gallons of paint

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3 years ago
What is m = 2/3; (6, 1) in slope intercept form? :)
Marina86 [1]

Answer:

y = 2/3x - 3

Step-by-step explanation:

First let's look at what slope-intercept form is.

y = mx + b

m is the slope, which in this case is 2/3

b is the y-intercept, which we will find later.

Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.

y = mx + b

1 = 2/3(6) + b

Let's simplify this to find b.

[multiply] 1 = 4 + b

[subtract 4]

-3 = b

We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.

y = 2/3x - 3

This is your equation.

Check this by plugging in the point again.

1 = 2/3(6) - 3

[multiply] 1 = 4 - 3

[subtract]

1 = 1

This expression is true; therefore, your answer is correct.

Hope this helps!

7 0
3 years ago
Tod begins piano practice at 4:15 p.M. And ends at 5:50 p.M. How long does he practice
nikdorinn [45]

Answer:

95 minutes/1 hour and 35 minutes.

Step-by-step explanation:

Since there are 60 minutes in a hour you could convert it. Or you could just subtract 550 minutes by 415 minutes and get 95 minutes which is also 1 hour and 35 minutes.

Hope this helps

:)

5 0
3 years ago
Write a few sentences about different ways to show subtraction for a problem 32-15.
Serhud [2]

You have 32 tiles, you use 15 tiles, how many tiles are left?

You just went shopping with $32, you spent $15, how much money do you have left?

Your friend has 32 cards, he loses 15, how many cards does he have left?

8 0
3 years ago
Read 2 more answers
The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean o
prohojiy [21]

Answer:

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

Step-by-step explanation:

For a normal random variable with mean Mu = 3.2 and standard deviation sd = 0.8 there is a distribution of the sample mean (MX) for samples of size 4, given by:

Z = (MX - Mu) / sqrt (sd ^ 2 / n) = (MX - 3.2) / sqrt (0.64 / 4) = (MX - 3.2) / 0.4

For a sample mean of 3.0, Z = (3 - 3.2) / 0.4 = -0.5

For a sample mean of 3.0, Z = (4 - 3.2) / 0.4 = 2.0

P (3.2 <MX <4) = P (-0.5 < Z <2.0) = 0.6687.

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

6 0
3 years ago
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