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Lapatulllka [165]
3 years ago
14

"The sum of a number and nineteen has the same value as one less than the product of that number and five"

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

Set up an equation:

x + 19 = 5x - 1

Add 1 to both sides:

x + 20 = 5x

Subtract x from both sides:

20 = 4x

Divide both sides by 4:

x = 5

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The ratio of children to adults at the football game was 23. If there were 140 children at the football game,
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Answer:

Therefore, the number of adults at the football game was 6.

Step-by-step explanation:

Let A represents the number of adults and C represents the number of children.

Therefore, the ratio of children to adults is given as follows:

23:1 = C:A ....................... (1)

Since C = 140, this is substituted into equation (1) as follows:

23:1 = = 140:A ....................... (2)

Transforming equation (2) and solve for A, we have:

23 / (23 + 1) = 140 / (140 + A)

23 / 24 = 140 / (140 + A)

0.958333333333333 = 140 / (140 + A)

0.958333333333333 (140 + A) = 140

(0.958333333333333 * 140) + 0.958333333333333A = 140

134.166666666667 + 0.958333333333333A = 140

0.958333333333333A = 140 -134.166666666667

0.958333333333333A = 5.833333333333

A = 5.833333333333 / 0.958333333333333

A = 6.08695652173878

Rounding to a whole number, we have:

A = 6

Therefore, the number of adults at the football game was 6.

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a car recently sold for $32,345 if theres a 6% sales tax on automoblie sales how much tax will be added to the price of the car
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Since there are 4 points we know it has to be a 4 sided shape. Since 3 out of the four sides are equal, then we know that this shape has to be a parallelogram so it has at least one pair of parallel lines.

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