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grigory [225]
2 years ago
7

A 3-pound bag of apples costs $5.25. What is the unit price of a pound of apples? per pound At this rate, how many pounds of app

les can be purchased for $17.50? pounds of apples Let x represent the number of pounds of apples and y the total cost of the apples. What is the equation that represents the direct variation between the total cost of the apples and the number of pounds of apples?
Mathematics
2 answers:
Pepsi [2]2 years ago
7 0

Answer:

Cost of 3 pounds of apples = $5.25

Cost of unit pounds of apples = \frac{5.25}{3}= 1.75 dollars.

So, price is $1.75 per pound.

At this rate, how many pounds of apples can be purchased for $17.50

Amount of apples = \frac{17.50}{1.75}=10 pounds

Let x represent the number of pounds of apples and y the total cost of the apples.

So, the equation that represents the direct variation between the total cost of the apples and the number of pounds of apples

y=1.75x

swat322 years ago
5 0
$1.75 per pound of apples, 10 apples can be purchased for $17.50 because you divide 17.50 by 1.75 since that is your unit rate per pound. 

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The rectangle below has an area of 8x^5+12x^3+20x^28x 5 +12x 3 +20x 2 8, x, start superscript, 5, end superscript, plus, 12, x,
juin [17]

Answer:

The width is: w(x)=4x^2

The length is l(x)=2x^2+3x+5

Step-by-step explanation:

The given rectangle has area given algebraically by the function:

a(x)=8x^5+12x^3+20x^2

The width of the rectangle is the greatest common factor of 8x^5,  12x^3 and 20x^2

That is the width is: w(x)=4x^2

We now divide the area by the width to obtain the length of the rectangle:

l(x)=\frac{8x^5+12x^3+20x^2}{4x^2}

This simplifies to:

l(x)=\frac{8x^5}{4x^2}+\frac{12x^3}{4x^2}+\frac{20x^2}{4x^2}

l(x)=2x^2+3x+5

5 0
2 years ago
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After allowing 20% discount on the marked price with 13%
saveliy_v [14]

<u>Answer:</u>

The marked price of the article is 22,600

<u>Explanation: </u>

Given, selling price of an article SP = Rs. 18080

To calculate marked price MP, the formula used is  

\mathrm{SP}=\mathrm{MP}\left(1-\frac{D \%}{100}\right)

Discount D = 20%

Substituting the given values

SP = \mathrm{MP}\left(1-\frac{20}{100}\right)

18080 = \mathrm{MP}\left(1-\frac{1}{5}\right)

18080=\mathrm{MP}\left(\frac{4}{5}\right)

\mathrm{MP}=\frac{18080 \times 5}{4}

MP = Rs. 22,600

Therefore the marked price of the article is 22,600

6 0
2 years ago
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average
lutik1710 [3]
Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
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3x = 45 - 30 = 15
x = 15/3 = 5

Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
4 0
2 years ago
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Exhibit 11-2 We are interested in determining whether the variances of the sales at two music stores (A and B) are equal. A samp
Fiesta28 [93]

Answer:

Option A , should not be rejected

Step-by-step explanation:

From the question we are told that:

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Standard deviation 1 \sigma_1=30

Sample 2 n=16

Standard deviation 2 \sigma_2=20

Level of  confidence \alpha=95\%=>0.95

Generally The Hypothesis are given as

 H_0:\sigma_1^2=\sigma_1^2

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Generally the equation for test Statistics is mathematically given by

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Therefore

Critical Value

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Where

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Therefore

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From Table

 T_{Critical}=T_x,T_{x'}

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Therefore

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Hence,We fail to reject the Null Hypothesis H_0

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1 year ago
The daily consumption of milk in a house is 3.25 litres. How much milk will be consumed in 30 days?
leonid [27]

Answer:

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2 years ago
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