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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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Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.
OlgaM077 [116]

Answer:

\sf \dfrac{1}{8}

Step-by-step explanation:

Spinner choices:  Red, Green, Yellow, Blue

Coin choices: Heads, Tails

\large\begin{array}{| c | c | c | c | c |}\cline{1-5} & \sf Red & \sf Green & \sf Yellow & \sf Blue\\\cline{1-5} \sf Heads & RH & GH &YH & BH \\\cline{1-5} \sf Tails &RT & GT& YT& BT\\\cline{1-5}\end{array}

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

\implies \sf P(blue)=\dfrac{1}{4}

\implies \sf P(heads)=\dfrac{1}{2}

\implies \sf P(blue)\:and\:P(heads)=\dfrac{1}{4} \times \dfrac{1}{2}=\dfrac{1}{8}

5 0
2 years ago
What percent of 2358 is 90?<br> Step by step please
hoa [83]

Answer:

3.8%

Step-by-step explanation:

90/2358=0.038

7 0
3 years ago
Read 2 more answers
Pete, Bryan, and Philip are cousins. Pete's age is one-third of Bryan and Philip is five years elder than Bryan. If the sum of t
blondinia [14]
<span>Pete's age is 15/3 = 5 years old
Bryan's age is 15 years old
Philip's age is 15+5 = 20 years old

20+15+5= 40</span>
3 0
3 years ago
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A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the n
JulsSmile [24]
M + f + a = 82
m = 7a + 1
f = 1/2m.....f = 1/2(7a + 1).....f = 3.5a + 0.5

7a + 1 + 3.5a + 0.5 + a = 82
11.5a + 1.5 = 82
11.5a = 82 - 1.5
11.5a = 80.5
a = 80.5 / 11.5
a = 7......7 adults

m = 7a + 1
m = 7(7) + 1
m = 49 + 1
m = 50 <=== 50 male students

f = 1/2m
f = 1/2(50)
f = 25 <=== 25 female students
3 0
3 years ago
Write the sentence as an inequality. Three times a number r plus 8 is fewer than −12
faltersainse [42]

Answer: 3r+8.

Step-by-step explanation:

It is given that three times a number r plus 8 is fewer than −12.

We need to write the sentence as an inequality.

Three times a number r = 3r

Times a number r plus 8 = 3r+8

Fewer than = less than = <

So, the inequality for the sentence "three times a number r plus 8 is fewer than −12" is

3r+8

Therefore, the required inequality is 3r+8.

7 0
3 years ago
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