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Leona [35]
3 years ago
15

A rectangle with an area of 5/8 ft^2 dilated by a factor of 8.

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

40

Step-by-step explanation:

dilated by a factor 8 => the area of a rectangle would be (8x8) times of the origin,

5/8 × (8x8) = 5/8 × 64 = 40 ft²

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You bought a large container of fruit punch. The label on the container says there are 128fluid ounces of fruit punch in the con
Alenkasestr [34]

Answer:

16 cups.

Step-by-step explanation:

We have been given that there are 128 fluid ounces of fruit punch in the container. We are asked to find the cups will be in 128 oz.

We know that 1 cup equals 8 fluid oz. To convert 128 oz into cups, we will divide 128 by 8.

\text{Cups in 128 oz}=\frac{128\text{ oz}}{\frac{8\text{ oz}}{\text{1 cup}}}

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5 0
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How many 6-ounces cups can be filled from 4 gallons of juice
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4 0
4 years ago
Describe and correct the error(s) made in each of the problems below.
ladessa [460]

Answer:

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

Step-by-step explanation:

<u>Errors in Algebraic Operations </u>

It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them

  • When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
  • When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
  • Not to confuse product of fractions with the sum of fractions. Rules are quite different

The first expression is

1-x / (5-x)(-x)=x-1 / x(x-5)

Let's arrange into format:

\displaystyle \frac{1-x}{(5-x)(-x)} =\frac{x-1 }{ x(x-5)}

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

Now for the second expression

5/s+2/5=2/s

Let's arrange into format

\displaystyle \frac{5}{s}+\frac{2}{5} =\frac{2}{s}

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

6 0
3 years ago
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