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FinnZ [79.3K]
3 years ago
6

Lucas bought some black socks and white socks each package of black socks contains six pairs each package of white socks contain

s four pairs Lucas but W packages of white socks and eight packages of black socks for a total a 56 pair of socks which equation could use also determine the number of packages of White Sox W Lucas bought?
Mathematics
1 answer:
WITCHER [35]3 years ago
5 0

Answer:

w = 2   He bought 2 packages of white socks

Step-by-step explanation:

6(8) + 4w = 56

48 + 4w = 56

4w = 8

w = 2

Check your work

6(8) + 4(2) = 56

48 + 8 = 56

56 = 56

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3 years ago
Paula knits hats. The number of hats h she can knit varies directly with the amount of yarn (y) in yards she has. The constant o
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Answer:

Part 1) The equation is h=42y

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Part 3) see the procedure

Part 4) For 378 yards of yarn Paula can knit 9 hats

Step-by-step explanation:

Let

h -----> the number of hats

y ----> the amount of yarn in yards  

k ---> constant of proportionality

Part 1) Write an equation to represent the relationship between the numbers of yards of yarn Paula has and the number of hats she can knit

we know that

A relationship between two variables, h, and y, represent a proportional variation if it can be expressed in the form h/y=k or h=ky

we have

k=42

substitute

h=42y

Part 2) What does the constant if proportionality 42, represent in this problem?

The constant of proportionality represent the slope of the linear equation

The value of the slope is 42\ \frac{hats}{yd}

That means that the number of hats Paula can knit is 42 per yard of yarn

Part 3) Complete the table showing the yards of yarn and the number of hats Paula can knit

we have

h=42y

Part a) For y=0 yd Find the value of h

substitute in the linear equation the value of y and solve for h

h=42(0)=0\ hats

Part b) For h=3 hats Find the value of y

substitute in the linear equation the value of h and solve for y

3=42y

y=3/42\ yd  ----> y=1/14\ yd

Part c) For y=210 yd Find the value of h

substitute in the linear equation the value of y and solve for h

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Part d) For y=378 yd Find the value of h

substitute in the linear equation the value of y and solve for h

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Part 3) For h=11 hats Find the value of y

substitute in the linear equation the value of h and solve for y

11=42y

y=11/42\ yd  

Part 4) Interpret the meaning of the point (378,9)

we have that

y=378 yd

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That means -----> For 378 yards of yarn Paula can knit 9 hats

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To answer this question, you need to multiply the number inside the bracket first. Then you can move the number to the right side of the equal sign and keep the x on the left side of the equal sign. The step would be like this
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Step-by-step explanation:

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