Mathematics High School

Mrs. Anderson​'s closet consists of two​ sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the moths away. She needs one box for every 16 cubic feet of space. How many boxes should she​ buy? Explain how you found the answer.

Answers

Answer 1

Answer:

13 boxes

Step-by-step explanation:

Given

See attachment for closet

Required

Determine the number of boxes needed to fill the closet

First, we calculate the volume of the two section.

[tex]Volume = Width * Length * Height[/tex]

From the attachment

The first section is:

[tex]Width = 5ft\\ Length = 4ft\\ Height = 8ft[/tex]

[tex]V_1 = 5ft * 4ft * 8ft[/tex]

[tex]V_1 = 160ft^3[/tex]

The second section:

[tex]Width = 3ft\\ Length = 2ft\\ Height = 8ft[/tex]

The width is the last label at the top

The length is the difference between the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

The volume is:

[tex]V_2 = 3ft * 2ft * 8ft[/tex]

[tex]V_2 = 48ft^3[/tex]

Total volume (V) is:

[tex]V = V_1 + V_2[/tex]

[tex]V = 160ft^3 + 48ft^3[/tex]

[tex]V = 208ft^3[/tex]

The number of box (n) needed is then calculated by dividing the calculated volume of the closet by the volume of each box

[tex]n = \frac{208ft^3}{16ft^3}[/tex]

[tex]n = 13[/tex]

Mrs. Anderson's Closet Consists Of Two Sections, Each Shaped Like A Rectangular Prism. She Plans To Buy

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Step-by-step explanation:

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Step-by-step explanation:

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An artist is painting flower pots that each require 1/32 gallon of paint. What is the maximum number of flower pots the artist can paint with 3/4 gallon of paint?

Answers

Answer:

24 flower pots

Step-by-step explanation:

Fraction of paint required per flower pot = 1/32

Number of pots that can be painted with 3/4 galoons of paint :

Total Fraction of paint had / fraction of paint required per flower pot

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Answers

Answer:

30 square feet

Step-by-step explanation:

Bottom rectangle: 2*5 = 10

Middle rectangle: 2*6 = 12

Top rectangle: 2*4 = 8

Total: 10 + 12 + 8 = 30

Members of a landscaping company built a retaining wall. They used brick to make the top ⅔ of the wall.

Answers

Answer:

The answer is "[tex]1\frac{5}{6}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]BH=\frac{2}{3} \cdot L[/tex]

       [tex]=\frac{2}{3} \cdot (2+\frac{3}{4}) \\\\=\frac{4}{3} +\frac{6}{12} \\\\=\frac{4}{3} +\frac{1}{2} \\\\=\frac{8+3}{6} \\\\=\frac{11}{6} \\\\= 1 \frac{5}{6} \\[/tex]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

41,20,22,26,46 find the mean and median

Answers

Answer:

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Step-by-step explanation:

41+20+22+26+46 divided by 5= 118.2

Median= number in the middle

What is the value of x? 4
8
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Answers

the value of x is 8

hzvzhz

Answer:

8

Step-by-step explanation:

3
Carl's baseball team is selling
trash bags to raise money for
uniforms and equipment. Each
player starts with a credit of $50
towards their sales, and each roll of
trash bags sells for $8. Determine
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Answers

Answer:

32

Step-by-step explanation:

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Answers

1) order them from least to greatest. (0.2, 0.3, 0.4, 0.7, 0.9, 0.9)
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3) answer is 0.7

Plz show work if ya can so I can understand this thanks

Answers

Answer:

area = 57√3 cm²

Step-by-step explanation:

lower polygon:

14-8 = 6, 6/2 = 3

3 is the base of the lower left triangle

cos 60° = 3/hypotenuse

hypotenuse = 6

height of triangle² = 6² - 3² = 45

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total area = 24√3 + 33√3 = 57√3 cm²

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Answers

Answer:

x = - 7

Step-by-step explanation:

Step 1:

2x + 3 = x - 4          Equation

Step 2:

x + 3 = - 4       Subtract x on both sides

Answer:

x = - 7        Subtract 3 on both sides

Hope This Helps :)

Answer:

x = -7

Step-by-step explanation:

Given Equation :-

2x + 3 = x - 4

Solution :-

Step 1 :- Subtract x from both sides

2x - x + 3 = x - x - 4x + 3 = - 4

Step 2 :- Move constant to the right hand side and change their sign.

x = - 4 - 3

Step 3 :- Combine like terms

x = -7

HELP PLEASEE I STRUGGLING

Sam is needing to make copies of a flyer for his new business. Store W charges $5 for unlimited copies and store Z charges $0.20 per copy and $2 for using the machine.

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Answer:

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Step-by-step explanation:

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Answers

a(b+c)=a•b+a•c
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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

-----_________---_____---________----_______---____----

“It is hard enough to remember my opinions, without also remembering my reasons for them!”

-----_________---_____---________----_______---____----

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Answers

Answer:

a is equal to 0

Answer: A is equal to 0

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Step-by-step explanation:

0 and 0.1*0=0 and 0.01*0=0 so 0=0

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Answers

Answer:

the lighthouse would be 160 feet.

unfortunately, the rest of the questions are missing information needed to find the answers.

Based on the z-statistic of –2.5 for the sample data, should the null hypothesis be rejected? Yes, because the z-statistic lies within the critical region. Yes, because the z-statistic lies outside of the critical region. No, because the z-statistic lies within the critical region. No, because the z-statistic lies outside of the critical region.

Answers

Answer:

No, because z-statistics lies within the critical region.

Step-by-step explanation:

The z value is calculated to determine whether the null hypothesis should be accepted or rejected. The null hypothesis is rejected when the z-value lies outside the critical region. The critical region is determined by the sample data.

Answer:

A) Yes, because the z-statistic lies within the critical region.

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

2(4+x)

Step-by-step explanation:

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Answers

3 quarts of water is 12 cups.

Answer:

3 quarts of water is 12 cups.

Step-by-step explanation:

1 quarts is 4 cups

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Answers

Answer: 1%

Step-by-step explanation:

Question is incomplete as it lacks the details of the withdrawal fee.

We shall assume one so that we can use it for calculation so that you can understand the methods.

Assume withdrawal fee of R50.

The withdrawal amount was R5,000 and the cost to withdraw was R50.

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Answers

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Answers

What’s the question?

Answer: ok lol so what is you question

Step-by-step explanation:

If -3.5 <-3, why is 1-3.5 > 1-31?

Answers

Answer:

3rd option

Step-by-step explanation:

The absolute value function always gives a positive value , that is

| - a | = | a | = a

Then

| - 3.5 | = 3.5 and | - 3 | = 3

and 3.5 > 3

That is | - 3.5 | > | - 3 |

3 + 1.2 x > 13.50
can someone please help me

Answers

Answer:

The answer is x > 8.75.

Step-by-step explanation:

1) Subtract 3 from both sides.

[tex]1.2x > 13.50 - 3[/tex]

2) Simplify 13.50 - 3 to 10.5.

[tex]1.2x > 10.5[/tex]

3) Divide both sides by 1.2.

[tex]x > \frac{10.5}{1.2} [/tex]

4) Simplify 10.5/1.2 to 8.75.

[tex]x > 8.75[/tex]

Thus, the answer is x > 8.75.

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