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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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In the barn, there are horses and chickens. There are 11 heads and 32 legs altogether. How many chickens are there?
Masteriza [31]

Answer:

6 Chickens

Step-by-step explanation:

Let  H represent the number of horses and  C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:

2C  +  4 H  =  32     (Eq. 1)

Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:

C  +  H  =  11    (Eq. 2)

From Eq. 2, solve for the number of chickens:

C  +  H  =  11

C   =  11  - H    (Eq. 3)

Substituting Eq. 3 in Eq. 1, the number of horses can be determined:

2 C  +  4 H  =  32

2 ( 11  −  H )  +  4 H  =  32

22   −  2 H  +  4 H  =  32

2H  =  32  − 22

2 H  = 10

H = 5               Eq.4

Putting Eq.4 in Eq.1

2C + 4*5 =  32

2C = 32 - 20

2C = 12

C = 12/2

C = 6

8 0
3 years ago
Solve using the quadratic equation -4x² + 7x + 5 = 0​
Luda [366]

Answer:

x=-0.544727

x=2.294727

Step-by-step explanation:

Given quadratic equation to solve:

  • -4x²+7x+5=0

To solve, use the quadratic formula

x= -b ±  b² - 4ac / 2a

Substitute your values for a, b, & c and solve

x= -7 ± 7² - 4·(-4)·5 / 2·(-4)

x= -7 ± 49 - -80/-8

x= -7 ± 129/-8

Then, reduce the problem

x= -7/-8 ± 129/-8

x=-0.544727

x=2.294727

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2 years ago
Leena loves peanut butter. today, she ate four tablespoons of it. if there are 6 mg of vitamin e in four tablespoons of peanut b
velikii [3]
<span>First, we need to know that the current recommended daily allowance of Vitamin E is 15 milligrams. If Leena ate four tablespoons of peanut butter, thus receiving only 6 milligrams, then we can determine the percentage by first dividing 100 into 15 parts (which gives us 6.66), and then multiply that answer by 6 (6 x 6.66), which gives us precisely 40. Thus, the answer is 40 percent.</span>
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3 years ago
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges
Arte-miy333 [17]
I cant figure it out sorry :/

3 0
3 years ago
PLEASE HELP ME WITH THIS QUESTION what is -48-(-12)
olga_2 [115]

Answer:

-36

Step-by-step explanation:

-48+12=-36

6 0
3 years ago
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