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Lynna [10]
3 years ago
13

Lucy is knitting a blanket and needs to buy some more yarn. At her local craft store, 2 skeins of yarn cost $7 and 8 Skeins of y

arn cost $28. Which equation represents this direct variation
Mathematics
2 answers:
Elis [28]3 years ago
7 0

Answer:

7 / 2

Step-by-step explanation:

Given that:

2 skeins of yarn = $7

7 α 2

7 = 2k

2k = $7

k = constant of proportionality

Make k the subject

Divide bith sides by 2

k = 7/2

To test the correctness of k

8 skeins cost $28

Thus,

8 * k should equal 28

8 * 7/2 = 56/2 = 28

nekit [7.7K]3 years ago
4 0

Answer: 7/2

Step-by-step explanation:2 skeins of yarn = $7

7 α 2

7 = 2k

2k = $7

k = constant of proportionality

Make k the subject

Divide bith sides by 2

k = 7/2

To test the correctness of k

8 skeins cost $28

Thus,

8 * k should equal 28

8 * 7/2 = 56/2 = 28

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The prepaid phone plan will have a steeper line and lower y-intercept.

I hope this is right

Step-by-step explanation:

prepaid phone plan y = .20x

contracted phone plan y = .02x + 50

8 0
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Step-by-step explanation:

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3 years ago
Expand a logarithmic expression
ivanzaharov [21]

The logarithmic expression is

log (\sqrt{z^5}/(x^3y))

To expand the expression we have to use some properties of logarithm.

We know that log(m/n) = log (m) - log(n)

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log(\sqrt{z^5}) - log(x^3y)

Square root means to the power 1/2, so for \sqrt{z^5}, we can write z^(5/2).

log(z^(5/2)) - log(x^3y)

Now we have to use another property of logarithm.

We know that, log(mn) = log(m) + log(n)

So we will use this property to log(x^3y)

log(z^(5/2)) - log(x^3y)

log(z^(5/2)) - (log(x^3) + log(y))

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Now we have to use another property of logarithm.

We know that, log(a^m) = m log(a)

By using this property we can write,

(5/2)log(z) - 3log(x) - log(y)

This is the required aswer here.

8 0
3 years ago
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Can someone help me asap
stealth61 [152]

Answer:

Option Y is correct.

Step-by-step explanation:

We are given the table representing the relation between new students and returning students for difference classes.

It is required to form the relative frequency table for the given situation.

So, relative frequency table is obtained by dividing the valued by the total number of values in the data set.

<em>Thus, we will get the relative frequency table by dividing the given table values by 500.</em>

Hence, we will get the following table,

                          New Students               Returning Students           Total

10th                         0.01                                   0.34                             0.35

11th                          0.006                                0.324                           0.33

12th                         0.004                                0.316                            0.32

Total                        0.02                                  0.98                                1

Thus, option Y is correct.

4 0
3 years ago
Write an equation for the graph below in the terms of x
melamori03 [73]
Y= -3/2x
Because of rise over run so the rise is positive three and the run is negative 2 since it goes towards the negative direction
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