A 5-pound bag of apples cost $3.50. Use that rate, to complete the table to identify equivalent ratios, and then answer the questions. Apples *? 5 ? 15
Cost 0.70 3.50 7 ?

Apples cost $ __ per pound.

Answers

Answer 1

Answer: Well, all you need to do is divide $3.50 into 5 (because that means you are cutting it smaller, 5 ÷ 5 = 1, and you are dividing five 5 times)

Answer 2

Answer:

Answer: It is $0.7 per pound.

Step-by-step explanation: All you have to do is divide $3.50 by 5 which gives you $0.7.

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Complete the steps to solve the inequality: 0.2(x + 20) – 3 > –7 – 6.2x

Answers

Answer:

The solution of inequality as $x>-(5)/(4)$

Step-by-step explanation:

Given inequality 0.2(x + 20) – 3 > –7 – 6.2x

We have to solve the given inequality

Consider 0.2(x + 20) – 3 > –7 – 6.2x

Multiply both side by 10, we have

$0.2\left(x+20\right)\cdot \:10-3\cdot \:10>-7\cdot \:10-6.2x\cdot \:10$

on simplifying, we get,

$2\left(x+20\right)-30>-70-62x$

Expand by multiplying 2 , we get,

$2x+40-30>70-62x$

$2x+10>70-62x$

Subtract 10 both side, we get,

$2x+10-10>-70-62x-10$

Simplify, we get,

$2x>-62x-80$

Add 62x both side, we get,

$2x+62x>-62x-80+62x$

Simplify , we get,

$64x>-80$

Divide both side by 64, we get,

$(64x)/(64)>(-80)/(64)$

Simplify , we get,

$x>-(5)/(4)$

Thus, the solution of inequality as $x>-(5)/(4)$

The answer is A.(x>-1.25)

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots. What is the probability of a customer buying carrots? 1.4 percent 5.0 percent 10.0 percent 11.4 percent

Answers

The probability of a customer buying carrots is 11.4 percent.

We can use the following formula to calculate the probability of event A happening given that event B has already happened:

P(A | B) = P(A and B) / P(B)

Where:

P(A | B) is the probability of event A happening given that event B has already happened

P(A and B) is the probability of both event A and event B happening

P(B) is the probability of event B happening

In this case, event A is buying carrots and event B is buying apples or carrots.

We know that the probability of buying apples or carrots is 17 percent. We also know that the probability of buying apples and carrots is 5 percent. Therefore, the probability of buying carrots is:

P(carrots) = P(carrots and apples or carrots) / P(apples or carrots) = 5 percent / 17 percent = 11.4 percent

Therefore, the answer is d. 11.4 percent.

To learn more about probability here:

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Answer:

C. 10.0 percent

Step-by-step explanation:

P(A) = 0.12

P(A\cap C)=0.05

P(A\cup C)=0.17=P(A)+P(C)-P(A\cap C)

0.17=0.12+P(C)-0.05

P(C)=0.17-0.12+0.05=0.10

The area of a rectangular hall is 153 sq. m. Its width is 9m. Find its length

Answers

Answer: L = 17 m

Step-by-step explanation:

Our task is to find the length of the rectangular hall.

We know that:

The area of the hall is 153 m².
The width is 9 cm.

We need to find:

The length of the hall

Applying the formula,

$\bf{A=LW}$ , where L = length, w = width

Substitute all the values:

$\bf{153=L*9}$
$\bf{153=9L}$
$\bf{17=L}$

Therefore, L = 17.

Answer:17

Step-by-step explanation: h = 153/9

Factor completely x2 + 16.(x + 4)(x + 4)

(x + 4)(x − 4)

Prime

(x − 4)(x − 4)

Answers

Answer:

The factors of x^2 + 16 are (x - 4i) and (x + 4i).

Step-by-step explanation:

That'd be x^2 + 16, not x2 + 16.

First, an easier example: x^2 - 16 factors into (x - 4)(x + 4).

Note how (-4)(4) = -16.

The corresponding factors of x^2 + 16 are (x - 4i) and (x + 4i).

We can check this result through multiplication: (x - 4i)(x + 4i) = x^2 - 4ix + 4ix - 16(-1), or x^2 + 16.

Answer:

Option C: Prime

Step-by-step explanation:

Lydia wrote 4 1/2 pages of her science report in one hour. what was her writing rate in pages per minute?

Answers

Lydia wrote3/40 pages of her science report in one minute and her writing rate in pages per minute would be 0.075 in decimal form.

What is the fraction?

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given that Lydia spent an hour writing her 4-and-a-half-page science report.

We initially convert an hour into minutes in order to answer this question.

∵ one hour = sixty minutes

Here fraction 4 1/2 which is equal to fraction 9/2 i.e. 4.5 in decimal form

After that, we divided 4 1/2 by 60. The solution is 0.075 in decimal form. That equals 3/40 when expressed as a lowest terms fraction.

Therefore, she wrote 3/40 pages of her science report in one minute.

Learn more about the fraction here:

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To solve this question, I first converted one hour into minutes. (60 minutes)

Then I divided 4 1/2 into 60. As a decimal, the answer if 0.075. If you convert that into a lowest terms fraction, you get 3/40.

Please help!The guidelines for a healthy adult are to maintain a Body Mass Index (BMI) between 19.5 and 24.9. A formula that relates the height of an adult to his or her weight and BMI is shown in the picture below, where h=height in inches, w=weight in pounds, and M=BMI.

1.) Find the formula that will directly calculate BMI given a person's height and weight.

2.) Chris weighs 211 pounds and has a BMI of 28.5. How many whole pounds must he gain or lose to get into the healthy BMI range?

Thank you!!

Answers

1. $h=40\sqrt{(.45w)/(M)}\Rightarrow(h^2)/(1600)=\frac{.45w}M\Rightarrow M=(720w)/(h^2)$

2. his BMI has to be reduced by 28.5-24.9=3.6

We must thus solve $(720w)/(h^2)=3.6$ thus $(720w)/(h^2)=3.6h^2/720=.005h^2$ . We can know his height using the first formula : $h=40\sqrt{(.45w)/(M)}=40\sqrt{(.45*211)/(28.5)}\approx73.01$

Hence he must lose $(73.01)^2*.005\approx26.6$ -> 27 pounds.

We check our result : $720*(211-27)/(73.01^2)\approx24.85<24.9$

To answer the first problem you are going to need to solve the equation for M (BMI). In order to do this you need to rearrange the variables h and w to one side of the equation, and M by itself on the other side. After doing this your equation should look like:
M = (0.45*w) / ((h / 40)^2)

For part 2 we must first solve for Chris' height so that we can find his healthy range. You should use the original equation for this. You should get 73.0105 inches as an answer. Now we must solve for his weight using 24.9 as the upper limit of the healthy BMI range as well as his height. You need a new formula solving for w. I am not going to put this formula here but I will just solve for W.
His healthy weight in pounds turns out to be 184.348 pounds. In order to get into this range, he must lose 211 - 184.348 = 26.6524 pounds. Since it asks how many whole pounds he must lose you should put 27 pounds as your answer.
Hope this helped!

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