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alexdok [17]
3 years ago
11

A cubic yard of topsoil weighs 4,128 pounds.About how many 50-pound bags can you fill with one cubic yard of topsoil?

Mathematics
2 answers:
andrew-mc [135]3 years ago
4 0

Answer:

Approximately 83 bags each carrying 50 pounds of soil will carry 1 cubic yard of soil or 4,128 pounds of soil.

Step-by-step explanation:

We are given the following information in the question:

1 cubic yards is equal to 4128 pounds that is

1~yard^3 = 4,128~pounds

Amount of soil 1 bag can hold = 50 pounds

Number of bags to hold 1 cubic yard of soil or 4,128 pounds of soil:

Formula:

\text{Number of bags} = \displaystyle\frac{\text{Total amount of soil}}{\text{Amount of soil 1 bag can hold}}

= \displaystyle\frac{4128}{50} = 82.56

Thus, approximately 83 bags each carrying 50 pounds of soil will carry 1 cubic yard of soil or 4,128 pounds of soil.

cupoosta [38]3 years ago
3 0
Problem
How many 50-pound bags can you fill with one cubic yard of topsoil?

Result
About 83.

Solution
This is a division problem. So, we're going to divide the weight of one cubic yard of topsoil by 50

4,128 ÷ 50 = 82.56

Rounding to the ones place, we get 83.
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3 years ago
A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of a house.
saul85 [17]
The answer is B. (15,18)

Solution:

First, let's set the variables first.

X = dollars per hour to clean the floor
Y = dollars per hour to clean the rest of the house

For the first statement, "<span>2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $84"
We can put it into an equation.
         2X + 3Y = 84       </span>⇒    equation 1

For the first statement, "<span>1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $87'
         X + 4Y = 87         </span>⇒    equation 2

Multiply first equation 2 by 2 to make the coefficient of both equations 1 and 2 the same.

Using elimination method in solving for x and y,

 
  (equation 1)              2X + 3Y = 84
  
 (equation 2)            2(X + 4Y) = 87   
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⇒ equation 3

Next, subtract equation 3 from equation 1.
            2X + 3Y = 84
      -   (2X + 8Y = 174)
        -------------------------
                  - 5Y = -90
                      Y = 18

Find X when Y = 18
@ equation 1  :    2X + 3Y = 84
                            2X + 3(18) = 84
                            2X + 54 = 84
                            2X = 84 - 54
                            2X = 30
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The answer is in ordered pairs of cleaning the floors and to clean the rest of the house. So, in the form (X,Y).

Answer: (15,18)

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3 years ago
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Aleks04 [339]

Answer:

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Step-by-step explanation:

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The claim is that the percentage of residents who favor construction is significantly over 42%.

Then, the null and alternative hypothesis are:

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The sample proportion is p=0.45.

 

The standard error of the proportion is:

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Then, we can calculate the z-statistic as:

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Step-by-step explanation:

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