Answer and Step-by-step explanation:
Each package has 12 pencils
total number of pencils Sarah purchased: n = 12p
n = total number of pencils
p = number of packages
n depends on p, because the total number of pencils dependos on how many packages she will buy, so:
independent variable: p
dependent variable: n
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║ p ║ n = 12p ║ n ║
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║ 3 ║ n = 12*3 ║ 36 ║
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║ 4 ║ n = 12*4 ║ 48 ║
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║ 5 ║ n = 12*5 ║ 60 ║
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║ 6 ║ n = 12*6 ║ 72 ║
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║ 7 ║ n = 12*7 ║ 84 ║
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Answer:
bc= 6
Step-by-step explanation:
since the triangles are similar, the sides are in a ratio
xz/ac = 20/4 (5:1)
yx/ba = 15/3 (5:1)
yz/bc = 5:1 = 30/6
Since the ratio is 2:5, it could be written as a fraction: 2/5. To make this apply to the sides of the triangles you'd have to create an equation where 2/5 equals 5/x, x being the length of the hypotenuse.
2/5 = 5/x
To get from 2 to 5, you'd have to multiply 2 by 2.5. Therefore, in order to make the equation equal, you have to multiply 5 (the denominator of 2/5) by 2.5.
2/5 = 5/12.5
The hypotenuse would be 12.5 inches long.
The equation would be
(y÷2)-5
