MATHEMATICS COLLEGE

Write an equivalent unit rate to eating chips in 1/4 mins

Answers

Answer 1

Answer:

Answer:

Here we have the case where:

"one chip is eaten in 1/4 mins."

(that means unit rate, the amount of a given variable that we need to do a unit of another variable)

Then the unit rate would be:

4 chips per minute.

Or, in a more mathematical way to write this:

4 chips/min.

Now we could write this in other units, for example.

We know that 1 min = 60s.

Then we have that (1/4) min = 60s/4 = 15s.

Then we have the unit rate:

1 chip every 15 seconds, or:

(1/15) chips/second.

Now, the variable in this case is time, t = time, let's multiply bot our unit rates by the same amount of time, and see if we have the same outcome.

Let's use t = 2 min.

1) (4chips/min)*2min = 8 chips.

2) ((1/15) chips/second)*2min

First, 2 min = 120 seconds.

((1/15) chips/second)*2min = ((1/15) chips/second)*120seconds = 8 chips.

So both unit rates are equivalent.

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40% as fraction and decimal

Answers

Answer:

40% as a decimal is 0.4

40% as a fraction is 2/5

Step-by-step explanation:

Let's go over each of these step by step.

First, let's see 40% as a fraction.

Since 40% is out of 100%, we can rewrite that as 40/100.

If you want to simplify it, let's do the following.

40/100

Divide both sides by 20, and you'll end up with:

2/5.

Now, let's do 40% as a decimal.

This is pretty simple.

40% is 40/100 as said before, and to find it as a decimal,

let's divide 40 and 100.

40 divided by 20 = 0.4

Therefore, we can conclude the following:

40% as a fraction is 40/100, or 2/5.

40% as a decimal is 0.4

Hope this helped! :)

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

x-4+3x+100=180....by angle sum property

4x=84

x=21

People who eat lots of fruits and vegetables have lower rates of colon cancer than those who eat little of these foods. Fruits and vegetables are rich in "antioxidants" such as vitamins A, C, and E. Will taking antioxidants help prevent colon cancer? A medical experiment studied this question with 864 people who were at risk of colon cancer. The subjects were divided into four groups: daily beta-carotene, daily vitamins C and E, all three vitamins every day, or daily placebo. After four years, the researchers were surprised to find no significant difference in colon cancer among the groups(a) What are the explanatory and response variables in this experiment?(b) Outline the design of the experiment. Use your judgment in choosing the group sizes.(c) The study was double-blind. What does this mean?(d) What does "no significant difference" mean in describing the outcome of the study?(e) Suggest some lurking variables that could explain why people who eat lots of fruits and vegetables have lower rates of colon cancer. The experiment suggests that these variables, rather than the antioxidants, may be responsible for the observed benefits of fruits and vegetables.

Answers

Answer:

Step-by-step explanation:

(a). The explanatory variables are the antioxidant group, the response variable is the result of the rate of colon cancer

(b)The design of the experiment is stratified Random sampling. I'll suggest there divided into equal group of 216 each.

(c). Double blind is when the people subjected to the experiment are not in the know if they're given placebo or the real antioxidant

(d) No significant difference mean, there is no convincing relationship that those that engage in using antioxidant have reduced colon cancer rate.

(e) Awareness of its history in family, age also.

Consider a home mortgage of $250,000 at a fixed APR of 4.5% for 25 years.a. Calculate the monthly payment.
b. Determine the total amount paid over the term of the loan.
c. Of the total amount paid, what percentage is paid toward the principal and what
percentage is paid for interest.
a. The monthly payment is $
(Do not round until the final answer. Then round to the nearest çent as needed.)