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sp2606 [1]
3 years ago
8

How much green ooze was carried all??

Mathematics
2 answers:
WITCHER [35]3 years ago
7 0

Answer:

5 cups.

Step-by-step explanation:

We have been given a line plot, which represents the cups of green ooze. We are asked to find the total number of cups.

To find the total number of cups, we will add all the given quantities as shown below:

2\times\frac{1}{4}+2\times\frac{3}{8}+2\times\frac{1}{2}+3\times\frac{5}{8}+\frac{7}{8}

\frac{2\times1}{4}+\frac{2\times3}{8}+\frac{2\times1}{2}+\frac{3\times5}{8}+\frac{7}{8}

\frac{2}{4}+\frac{6}{8}+\frac{2}{2}+\frac{15}{8}+\frac{7}{8}

Make a common denominator:

\frac{2\times2}{4\times2}+\frac{6}{8}+\frac{2\times 4}{2\times 4}+\frac{15}{8}+\frac{7}{8}

\frac{4}{8}+\frac{6}{8}+\frac{8}{8}+\frac{15}{8}+\frac{7}{8}

Add numerators:

\frac{4+6+8+15+7}{8}

\frac{40}{8}

5

Therefore, there are 5 cups of green ooze in all.

LUCKY_DIMON [66]3 years ago
6 0
There is 4 1/2 cups of green ooze
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1. If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter o
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Part 2) The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

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Step-by-step explanation:

Part 1) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter of the figure?

we know that

If all dimensions are changed proportionally, then the new figure and the original figure are similar

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If all dimensions are changed proportionally, then the new figure and the original figure are similar

When two figures are similar, the ratio of its areas is equal to the scale factor squared

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The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) What would happen to the perimeter and area of a figure if the dimensions were changed NON-proportionally? For example, if the length of a rectangle was tripled, but the  width did not change? Or if the length was tripled and the width was decreased by a factor of 1/4?​

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If the dimensions were changed NON-proportionally, then the ratio of the corresponding sides of the new figure and the original figure are not proportional

That means

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<em>A) If the length of a rectangle was tripled, but the  width did not change?</em>

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The new perimeter would be P=2(3L)+2W ----> P=6L+2W

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The original area is A=LW

The new area  would be A=(3L)(W) ----> A=3LW

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<em>B) If the length was tripled and the width was decreased by a factor of 1/4?</em>

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The new area  would be A=(3L)(W/4) ----> A=(3/4)LW

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