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m_a_m_a [10]
3 years ago
9

You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How

much cleaning solution will you need to use?
a. 1 ½ quarts
b. 1 pint
c. 2 quarts
d. 1 quart
Mathematics
2 answers:
ohaa [14]3 years ago
3 0
There are 4 quarts to a gallon
therefore the parts in this problem is in terms of quarts

therefore you will need 1 quart of cleaning solution

letter d is the correct answer

atroni [7]3 years ago
3 0

Answer:

option d. 1 quart

Step-by-step explanation:

To make window cleaner mix, the instructions are given to mix 1 part cleaner to 3 parts of water.

you are going to mix a gallon bucket of window cleaner.

so we check out all the options by using the amount how much cleaner mix will be ready.

Option a. 1\frac{1}{2} quarts

using 1\frac{1}{2} quarts of cleaner you have to mix  4\frac{1}{2} quarts water. Therefore, the mixture would be 6 quarts ( 1\frac{1}{2} gallons ) that is more than 1 gallon

Option b. 1 pint

using the amount of 1 pint, you have to mix 3 pints of water. therefore, the mixture would be 4 pints ( 0.5 gallon) not sufficient for 1 gallon

Option c. 2 quarts

using the amount of 2 quarts you have to mix 6 quarts of water. Therefore, the mixture would be 8 quarts ( 2 gallons) that is double of 1 gallon

Option d. 1 quart

using 1 quart of cleaner, you have to mix 3 quarts of water. Therefore, the mixture would be 4 quarts ( 1 gallon ) that is the quantity we want.

So the option d. 1 quart is the answer.

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Answer the question for a normal random variable x with mean μ and standard deviation σ specified below. (Round your answer to o
vladimir2022 [97]

Answer:

x = 63.6

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X and also the area to its left. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to its right.

In this problem, we have that:

\mu = 38, \sigma = 11

Find a value of x that has area 0.01 to its right

This is x when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.3267.

Z = \frac{X - \mu}{\sigma}

2.3267 = \frac{X - 38}{11}

X - 38 = 11*2.3267

X = 63.6

So x = 63.6

6 0
3 years ago
Layla is going to invest $5,200 and leave it in an account for 15 years. Assuming the interest is compounded monthly, what inter
AleksandrR [38]

Answer:

6.5%

Step-by-step explanation:

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4 0
3 years ago
A Flagpole casts a shadow 32 feet long. If a man is 6 feet tall casts a shadow 8 feet long at the same time and location. How ta
Kaylis [27]
24 feet
Set up a ratio of object height to shadow length.
So x/32=6/8
8(4)=32 so 6(4) would be 24.
4 0
3 years ago
Please help thnk you.
Levart [38]
Hello!

You have to find what they multiplied to 18 to get 27

27 / 18 = 1.5

The multiplied the sides by 1.5 to get the second shape

6 * 1.5 = 9

The answer is C)9

Hope this helps!
7 0
3 years ago
Read 2 more answers
Which expression does not factor?<br><br> m3 + 1<br> m3 – 1<br><br> m2 + 1<br><br> m2 – 1
Luda [366]

Answer:

m^2 +1

Explanation:

All the other expressions can be factorized. Let's see why:

1) m^3 +1

This is the sum of the cubes, and this can be factorized as follows:

a^3+b^3=(a+b)(a^2-ab+b^2)

In this case, a=m and b=1, so we can factorize as

m^3+1=(m+1)(m^2-m+1)

2) m^3-1

This is the difference between two cubes, and this can be factorized as follows:

a^3-b^3=(a-b)(a^2+ab+b^2)

In this case, a=m and b=1, so we can factorize as

m^3-1=(m-1)(m^2+m+1)

3) m^2-1

This is the difference between two square numbers, and it can be factorized as follows

(a^2-b^2)=(a+b)(a-b)

In this case, a=m and b=1, so we can factorize as

m^2-1=(m+1)(m-1)

4 0
3 years ago
Read 2 more answers
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