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swat32
3 years ago
15

The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The

area of the resulting rectangle is 90ft squared. Find the original area of the square.
Mathematics
1 answer:
Kamila [148]3 years ago
4 0

Answer:

the original area is 64ft squared or 169ft squared more perdurable 64  

Step-by-step explanation:

(x-2)(x+7)=90

x^2 +5x -14=90

x^2 +5x -14 -90=90-90

x^2 +5x -104=0

factor it out

(x−8)(x+13)=0

so 8 or -13

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What is 8.3x10^-9 in standard form?
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.0000000083


( eight zeros.)
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A bag contains 8 blue coins and 6 red coins. A coin is removed at random and replaced. This happens three times. What is the pro
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Each time you draw, there is a 57.143% chance it will be blue, and a 42.857% chance it will be red.

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3 years ago
The denominator of a rational numbers is twice it’s numerator if the numerator is decreased by 3 and the denominator increased b
ASHA 777 [7]

Answer:

\frac{29}{58}

Step-by-step explanation:

let x be the numerator of the rational number then 2x is the denominator

original fraction = \frac{x}{2x}

subtracting 3 from numerator and adding 7 to denominator , gives

\frac{x-3}{2x+7} = \frac{2}{5} ( cross- multiply )

5(x - 3) = 2(2x + 7) ← distribute parenthesis on both sides )

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x - 15 = 14 ( add 15 to both sides )

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8 0
2 years ago
Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who
IrinaVladis [17]

Answer:

72

Step-by-step explanation:

<u>Given:</u>

There were 120 people in total.

60% were parents.

<u>To find:</u>

Number of parents attended.

Solution:

1. 60% of 120

It can also be written as:

\frac{60}{100}\times \frac{120}{1}

Simplify

  • Cancel zeros

\frac{60}{100}\\\\=\frac{6}{10}

  • Divide by common factor (2)

\frac{6\div2}{10\div2}=\frac{3}{5}

2. \bold{\frac{3}{5}\times \frac{120}{1}}

Multiply

\frac{3\times120}{5\times1} = \frac{360}{5}

Divide

\frac{360}{5}= 360\div5=72

Therefore, 72 parents attended the game.

4 0
3 years ago
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