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postnew [5]
3 years ago
8

Fraction decimals and percents

Mathematics
2 answers:
AleksandrR [38]3 years ago
4 0

Answer:

\frac{11}{25} (as a fraction), 0.44 (as a decimal), or 44% (as a percent)

Step-by-step explanation:

Find the total squares. (100)

Find the filled squares. (44)

Divide the filled squares by the total squares. (44 ÷ 100)

Convert to fraction. (\frac{44}{100})

Simplify (\frac{11}{25})

Answer: \frac{11}{25} or 0.44 or 44%

To convert to a decimal, divide 11 by 25. To convert to a percent (%) divide 11 by 25 and multiply by 100.

nataly862011 [7]3 years ago
3 0

Answer:

Fraction: 44/100 or 22/50 or 11/25

Decimal: 0.44

Percent: 44%

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The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square, and the side of the triangle is 4 inch
soldier1979 [14.2K]

Answer:

The length of the side of the triangle is 10 inches.

Step-by-step explanation:

Let p = perimeter of the equilateral triangle

Let P = perimeter of the square

Let s = length of side of the triangle

Let S = length of side of the square

"The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square"

p = P + 6      Equation 1

"the side of the triangle is 4 inches longer than the side of the square"

s = S + 4      Equation 2

We have 2 equations and 4 unknowns. We need two more equations. We use the definition of perimeter to get the other two equations.

For an equilateral triangle,

p = 3s      Equation 3

For a square,

P = 4S      Equation 4

Substitute p and P of Equation 1 with equations 3 and 4. Then write equation 2.

3s + 4S = 6

s = S + 4

Now we have a system of 2 equations in 2 unknowns. We can solve for s and S. We can use the substitution method. Solve the second equation for S.

S = 4 - s

Substitute S = 4 - s into equation 3s + 4S = 6.

3s + 4(4 - s) = 6

3s + 16 - 4s = 6

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s = 10

Answer: The length of the side of the triangle is 10 inches.

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