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Ludmilka [50]
3 years ago
7

A square has an area of 16x^2 square inches. If the sides of the square were to increase by 2 units, what is the new area of the

square?
Mathematics
1 answer:
kykrilka [37]3 years ago
4 0

Answer:

16x² + 64x + 64

Step-by-step explanation:

Given

A = 16x²

Increasing the sides by 2, substitute x = x + 2 into A

A = 16(x + 2)² ← expand factor using FOIL

   = 16(x² + 4x + 4 ) ← distribute

   = 16x² + 64x + 64

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Ava is buying paint from Amazon. Ava
irina [24]

Answer:

2.625 cups or 21 ounces

Step-by-step explanation:

Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.

She has 28 ounces of white paint. But, you have to convert ounces to cups.

1 cup = 8 ounces

28 ounces ÷ 8 ounces/cup = 3.5 cups

Now set up a ratio.

\frac{0.75}{1} = \frac{x}{3.5}

X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)

Cross multiply and divide.

\frac{0.75}{1} = \frac{x}{3.5}

x = 0.75 × 3.5

x = 2.625 cups

To convert to ounces, multiply by 8.

2.625 cups × 8 ounces = 21 ounces

Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.

Hope that helps.

5 0
3 years ago
Directions: The marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. E
emmainna [20.7K]

The experiment is the development of a new soft drink

  • A possible outcome is "Prefer this new drink"
  • A possible event is "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"
  • A new survey is about children vaccination

<h3>The experiment</h3>

From the question, we understand that:

The Fresno Mall plans to survey teenagers about a newly developed soft drink

This implies that the experiment is the survey of teenagers for a new soft drink

<h3>A possible outcome</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one outcome could be "Prefer this new drink"

<h3>A possible event</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one event could be "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"

<h3>A new survey</h3>

Using the question as a guide, a survey could be:

<em>In a survey of 500 randomly selected adults, 68% of the respondents think that the government should require parents to have their children vaccinated.</em>

Here, we have:

  • Experiment: Children vaccination
  • Outcome: Outcome that a parent supports parent should have their children vaccinated
  • Event: Event that 5 of 10 individuals think that the government should require parents to have their children vaccinated

<h3>Importance of probability</h3>

Probabilities, in this scenario are used to determine the proportions of outcomes, events and it is used to make informed decisions

Read more about probability at

brainly.com/question/251701

#SPJ1

5 0
1 year ago
(Math Help Quick Lots of points please thanks)
Elden [556K]

Answer:

E = {0, 1, 2, 3)

Step-by-step explanation:

  • <u>Integer</u>: a number with no decimal or fractional part, from the set of negative and positive numbers, including zero
  • < means less than
    > means more than

E = {0, 1, 2, 3)

8 0
2 years ago
Read 2 more answers
Which rotation transformed FGHI to F'G'H'I
kenny6666 [7]
The answer is a 45 degree rotation Clockwise. Hope that helps! :)
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2 years ago
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Pick the expression that matches this description:
inysia [295]

Answer: Choice D,  -5x^3 + 8

A binomial consists of two terms being added or subtracted. The two terms are -5x^3 and 8. The term -5x^3 has a leading coefficient -5 and exponent 3. The largest exponent determines the degree of the polynomial. The 8 is constant as there are no variables attached or multiplying with it.

4 0
3 years ago
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