MATHEMATICS COLLEGE

The perimeter of a rectangle is 38m. The length is 3m more than times the width. Find the length and the width of the rectangle.

Answers

Answer 1

Answer:

Answer:

Width = 4.75

Step-by-step explanation:

Step 1:

P = 2 ( L + W )

Step 2:

38 = 2 ( 3w + w )

Step 3:

38 = 6w + 2w

Step 4:

38 = 8w

Answer:

4.75 = w

Hope This Helps :)

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how many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antifreeze

Answers

let x=gallons of 80% solution to be mixed
x+80=gallons go final 70% mixture
..
80%*x+30%*80=70%*(x+80)
.8x+24=.7x+56
.1x=32
x=320
gallons of 80% solution to be mixed=320

Final answer:

To obtain a mixture that is 70% antifreeze, you need to mix 70 gallons of an 80% antifreeze solution with 70 gallons of a 30% antifreeze solution.

Explanation:

To determine how many gallons of an 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antifreeze, we can use the concept of the concentration of solutions.

Let's assume x gallons of the 80% antifreeze solution need to be added.

The amount of antifreeze in the 80% solution is 0.8x gallons, and the amount of antifreeze in the 30% solution is 0.3 * 70 = 21 gallons. The total amount of antifreeze in the final mixture is 0.7 * (70 + x) gallons.

Setting up the equation: 0.8x + 21 = 0.7 * (70 + x).

Solving for x, we get x = 70 gallons. Therefore, you need to mix 70 gallons of the 80% antifreeze solution with 70 gallons of the 30% antifreeze solution to get a mixture that is 70% antifreeze.

Learn more about antifreeze solution here:

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Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. Which of the following best describes the form of the sampling distribution of the sample mean for this situation? a. Approximately normal because the sample size is small relative to the population size b. Approximately normal because of the central limit theorem c. Exactly normal d. None of these alternatives is correct.

Answers

None of the given alternatives described the Sample mean for the situation. A complete solution is below.

Given values are:

Sample size,

n = 17

Mean,

μ = 36

Standard deviation,

σ = 8

As we know,

The Standard deviation of sample mean,

→ $(\sigma)/(√(n) )$

By substituting the values, we get

→ $(8)/(√(17) )$

→ $(8)/(4.13)$

→ $1.94$

Thus the response i.e., "option d" is appropriate.

Learn more:

brainly.com/question/16555520

Answer:

Step-by-step explanation:

Amy spent $22 on a magazine and fourerasers. If the magazine cost $6, then how
much was each eraser?

Answers

Answer:

Step-by-step explanation:

First, 22-6=16, this isolates how much she spent on erasers alone

Then, 16/4=4, if she bought 4 erasers each one would have cost $4

Step-by-step explanation:

5 dollars and 5 cents.

4 scarfs 86.4 inch long. Total length of all scarfs put together in feet

Answers

Answer: 28.8ft

Step-by-step explanation:

Start by multiplying 86.4 by 4. You should get 345.6. Since there are 12 inches in a foot, divide 345.6 by 12. You should get your final answer as 28.8ft.

A genetic test is used to determine if people have a predisposition for thrombosis, which is the formation of a blood clot inside a blood vessel that obstructs the flow of blood through the circulatory system. It is believed that 3% of people actually have this predisposition. The genetic test is 98% accurate if a person actually has the predisposition, meaning that the probability of a positive test result when a person actually has the predisposition is 0.98. The test is 97% accurate if a person does not have the predisposition. What is the probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition? (Round your answer to four decimal places.)

Answers

Idk mane but uh I just don’t know

10 and 11.Is this relation a function?у
3
6
7 6 5 4
5
3
2
.
1
.
-2 -1
-1
1 2 3 4
g
6 7
8x
8
-2
-3
Yes, this is a function. It does pass the vertical line test.
No, this is not a function. It does NOT pass the vertical line test.
11
What is the independent variable of the following statement?
Luke
goes to the store to buy some candy, The more money he has, the more candy he will buy.
The amount of candy he buys
The amount of money he has
The store he goes to
The type of money he has

Answers

10.Yes
11.Number 3

I hope this helps

Yes it’s a function and A the amount of candy

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