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adell [148]
3 years ago
6

Caleb is making a soil mix that is 8 parts dirt to 3 parts peat moss. Which of the following best describes the amount of dirt h

e could use for every 1 cup of peat moss?
A. He should add between 1/4 cup and 1/2 of dirt.

B. He should add between 1/2 cup and 1 cup of dirt.

C. He should add between 1 cup and 2 cups of dirt.

D. He should add between 2 cups and 3 cups of dirt.
Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0

Answer:

D. He should add between 2 cups and 3 cups of dirt.

Step-by-step explanation:

First we need to take the ratio of dirt to peat moss.

8 parts dirt : 3 parts peat moss.

Now we take the ratio and find the value of dirt.

8 : 3 = \dfrac{8}{3}

x : 1 = \dfrac{x}{1}

\dfrac{x}{1} = \dfrac{8}{3}

We now multiply both sides by 1.

1\dfrac{x}{1} = 1\dfrac{8}{3}

x = \dfrac{8}{3}

x = 2.67

So now we substitute x.

2.67 Cups Dirt : 1 Cup Peat Moss

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The solution for 15+25=m-45 is m=85
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What is the answer to<br> 56 is 28% of
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In mathematics, 'is' would be the equal sign. And 'of' would be the multiplcation sign. The missing number would be any variable.

56 is 28% of a number would be translated algebraically to:

56 = \frac{28}{100} \times x

Solving for x, we get:

56 = \frac{28}{100} \times x

Divide 28 on both sides

2 = \frac{x}{100}

Multiply 100 on both sides

x = 200

56 is 28% of 200
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3 years ago
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Tonja is a married taxpayer who claims 2 withholding allowances. She earns
viva [34]

The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17

<h3>What is Federal Income Tax?</h3>

Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.

<h3>What is FICA Tax?</h3>

FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:

  • Social Security Tax which is 6.2% and
  • Medicare Tax which is 1.45%. The total is 7.65%

How to calculate Tonja's Tax before deduction

Federal Tax rate first level is 10% on 0$ - $19,900.

1) Hence, the first tax is 10% on $600, which is $60

2) The next tax is FICA. This is applied to the Gross Pay of $600.

Applying both taxed under FICA we have 7.65% * $600 = $45.9

Total Tax before a deduction is:

$60 + $45.9 = $105.6

The Tax Payable if childcare expenses is deducted first will be:

10% on $450     = $45

7.65% on $450 = $34.43

Total                   = $79.43

Hence the tax savings will be:

105.6 - 79.43 = $26.17

Learn more about FICA Tax at:
brainly.com/question/3214345


3 0
2 years ago
kim can mow the greens at the golf course twice as fast as shayla can. Working together, they can mow the greens in 4 hours. How
anyanavicka [17]

Answer: Kim can mow the greens alone in 6 hours.

Step-by-step explanation:

Let K be the rate Kim mows the greens, and S the rate for Shayla.  The rates K and S will be in greens/hour.

We know they can mow 1 green in 4 hours.  We can state this as a sum of their rates times the 4 hours equals one green:

(4 hours)*(K + S) = 1 green

We are told that K = 2S [Kim is twice as fast as Shayla]

Subsititute:

(4 hours)*(K + S) = 1 green

(4 hours)*(2S + S) = 1 green

4*(2S + S) = 1 green

12S = 1 green

Shalya's rate is 1 green/12 hours

Kim is twice as fast:  K = 2S

Kim's rate is 1 green/6 hours.

8 0
2 years ago
PLEASE HELP!!!!!!!
lozanna [386]
The correct answer is: <span>C) The base of the cone and the top of the cylinder have the same area. </span>The cone has the smallest volume of the 2 figures. This is because the formula for the cylinder is b x h, the formula for the cone is 1/3(b x h) so if they have same height and base area cylinder would have larger volume because, for the cylinder, a formula is one-third of b x h. Hope I helped!!  : )

hope this helps you


4 0
3 years ago
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