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agasfer [191]
3 years ago
14

Gerry is knitting a scarf for a friend. She knits a gauge swatch which measures 4 in. by 4 in. If the square is 30 stitches wide

and 39 rows long, how many stitches wide will she need to knit in order to make a scarf that is 18 inches wide and 36 inches long?
Mathematics
1 answer:
LiRa [457]3 years ago
8 0

Answer:

<u>Gerry will need to knit 135 stitches wide and 351 rows long for make a scarf that is 18 inches wide and 36 inches long.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Measures of the gauge swatch = 4 inches * 4 inches

Number of stitches wide of the gauge swatch = 30

Number of rows long of the gauge swatch = 39

2. How many stitches wide will she need to knit in order to make a scarf that is 18 inches wide and 36 inches long?

Using Rule of Three Simple we can found that value, this way;

Number of stitches wide for 18 inches wide = (18 * 30)/4

Number of stitches wide for 18 inches wide = 540/4 = 135

<u>Gerry will need to knit 135 stitches wide for make a scarf that is 18 inches wide.</u>

We can found the same way, the rows long:

Number of rows long for 36 inches long = (36 * 39)/4

Number of rows long for 36 inches long = 1,404/4 = 351

<u>Gerry will need to knit 351 rows long for make a scarf that is 36 inches long.</u>

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Step-by-step explanation:

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3 years ago
Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v
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Answer:

If b=-3 then the first expression is equal to 24 and the second expression is equal to -14.

If b=-2 then the first expression is equal to 8 and the second expression is equal to -36.

If b=10 then the first expression is equal to 440 and the second expression is equal to 324.

Yes, it is true.

Step-by-step explanation:

b=-3:

4b(b+1)=4(-3)(-3+1)=-12(-2)=24

(2b+7)(2b-8)=(2(-3)+7)(2(-3)-8)=(-6+7)(-6-8)=1(-14)=-14

b=-2:

4b(b+1)=4(-2)(-2+1)=-8(-1)=8

(2b+7)(2b-8)=(2(-2)+7)(2(-2)-8)=(-4+7)(-4-8)=3(-12)=-36

b=10:

4b(b+1)=4(10)(10+1)=40(11)=440

(2b+7)(2b-8)=(2(10)+7)(2(10)-8)=(20+7)(20-8)=27(12)=324

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y = 1/9

Step-by-step explanation:

(-2, y) = (x, y)

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y = 1/9

Therefore y = 1/9
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