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3 years ago

MAY SOMEONE PLEASE HELP ME!??

Mathematics

1 answer:

svetlana [45]3 years ago

3 0

1) Option C is correct

2) Option B is correct

Step-by-step explanation:

Question no 1:

We need to find the constant of proportionality

The constant of proportionality can be found by using the formula y/x = k, where k is the constant of proportionality.

Finding k:

x = Hot pepper corn

y = chedder corn

So, y/x = 10/4 = 2.5

y/x = 20/8 = 2.5

y/x= 30/12= 2.5

So, Constant of proportionality is k = 2.5

Hence Option C is correct.

Question No 2

Every female rabbit has 5 baby rabbits. We need to find ratio of baby rabbits to female rabbits.

Baby rabbits = 5

female rabbits = 1

Ratio of baby rabbits to female rabbits: 5: 1 or 5/1 = 5

So, ratio of baby rabbits to female rabbits is 5

Option B is correct.

Keywords: ratio and direct proportion

Learn more about Ratio and direct proportion at:

#learnwithBrainly

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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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Answer:

Part 1) The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor (see the explanation)

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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?

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

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

Part 2) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the area of the figure?

we know that

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

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?

we know that

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

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The new figure and the original figure are not similar figures

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

The perimeter of the new figure is greater than the perimeter of the original figure but are not proportionals

Area

The original area is A=LW

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

The area of the new figure is three times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

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

Perimeter

The original perimeter is P=2L+2W

The new perimeter would be P=2(3L)+2(W/4) ----> P=6L+W/2

The perimeter of the new figure and the perimeter of the original figure are not proportionals

Area

The original area is A=LW

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

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The median number of minutes for Jake and Sarah are equal, but the mean numbers are different.

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For this, you never said the choices, but I’ve done this before, so I’m going to use the answer choices I had, and hopefully they are right.

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• The median number of minutes for Jake and Sarah are equal, but the mean number of minutes are different.

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We can eliminate all the choices that don’t imply that too.

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