What is 481 divided by 8?Is it 60 with a remainder of 1 ?

Answers

Answer 1

Answer: Yes. 60 remain 1 or 60.125 .

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A certain solution contains 4.3 grams of salt per liter.How much salt is there in 11 liters of the solution?
Round your answer, if necessary, to the nearest tenth.

Answers

Answer:

47.3 grams

Step-by-step explanation:

Given: A solution contains 4.3 grams of salt per liter.

To find: Amount of salt in 11 liters of the solution

Solution:

Amount of salt in 1 liter of the solution = 4.3 grams

So, amount of salt in 11 liters of the solution = 11 × Amount of salt in 1 liter of the solution = 11 × 4.3 = 47.3 grams

Hence, 11 liters of the solution contains 47.3 grams of salt.

Answer: 47.3

Step-by-step explanation: Khan Academy

Can someone please help me?

Answers

the answer is 62.8 cm^2.

cylinder surface area formula is 2*pi*a(a+h) where a is radius and h is height.
plug in your numbers in the right places and you have your answer!

The volume of a prism is 230 mm3. Which statements are true about the same prism measured in cubic centimeters?

Choose all answers that are correct.

A.
The number representing the volume would decrease.

B.
The number representing the volume would increase.

C.
The actual volume would decrease.

D.
The actual volume would increase.

E.
The actual volume would stay the same.

Answers

A). Yes. When you convert to a larger unit, you need less of them
to hold the same volume, so the number decreases.
(You have less gallons of gas in the tank than cups of gas.)

B). No, for the same reason.

C).
D).
No,no ! Both are absurd. The volume doesn't know or care what unit you're
using to describe it, and certainly doesn't depend on the unit you use.
(Changing the number of kilometers to Grandma's house to miles
doesn't change the distance.)

E). Yes. As I've been trying to say all along, the actual volume doesn't change.

If p and a vary inversely and p is 26 when q is 5, determine q when p is equal to 10

Answers

Answer: q = 13

because p and q are inverse

=> 26/10 = q/5

⇔ q = 26/10.5

⇔ q = 13

Step-by-step explanation:

The women's department of a store stocks 4 types of black socks for every 5 types of white socks. The men's department stocks 6 types of black socks for every 7 types of white socks. If each department has the same number of black socks, which department stocks more types of white socks?

Answers

Answer:

The women's department of a store stocks have more types of white socks.

Step-by-step explanation:

Given:

The women's department of a store stocks 4 types of black socks for every 5 types of white socks.

Ratio of black socks to white socks = 4 : 5

The men's department stocks 6 types of black socks for every 7 types of white socks.

Ratio of black socks to white socks = 6 : 7

Each department has the same number of black socks.

Question asked:

Which department stocks more types of white socks?

Solution:

Let each department has 100 black socks.

For women's department

4 : 5 : : 100 : white socks

$(4)/(5) =(100)/(White\ socks) \n\n By \ cross \ multiplication\n \n 4* White\ socks=100*5\n 4White\ socks=500\nBy\ \ dividing\ both \ sides\ by\ 4\nWhite\ socks=125$

For men's department

6 : 7 : : 100 : white socks

$(6)/(7) =(100)/(White\ socks) \n\n By \ cross\ multiplication\n \n 6White\ socks=100*7\n6White\ socks=700\nWhite\ socks=About\ 117$

We found that out of 100 black socks the women's department of a store stocks have 125 white socks while the men's department stocks have about 117 white socks then by default understood that the women's department of a store stocks have more types of white socks.

Answer:

The women have more

Step-by-step explanation:

If f(x) is a continuous function defined for all real numbers, f(-2) = 10, f(-7) = -5, and f(x) = 0 for one and only one value of x, then which of the following could be that x value? a) -3 b) -8 c) 0 d) 2

Answers

Step-by-step explanation:

The given information tells us that f(x) is a continuous function, and it passes through the points (-2, 10) and (-7, -5). Additionally, it has exactly one value of x for which f(x) = 0. We need to find which of the given options (-3, -8, 0, 2) could be that x value.

Let's analyze each option:

a) -3: If f(-3) = 0, it's a possibility, but we need to check the others.

b) -8: If f(-8) = 0, it's a possibility, but we need to check the others.

c) 0: If f(0) = 0, it's a possibility, but we need to check the others.

d) 2: If f(2) = 0, it's a possibility, but we need to check the others.

Since we are told that there is only one value of x for which f(x) = 0, and there are multiple possibilities in this case (a, b, c, and d), the information provided does not allow us to determine a unique answer from the given options. Any of these values could be the x for which f(x) = 0, given that the function is continuous.

Final answer:

The question uses the concept of Intermediate Value Theorem in mathematics. The answer is option a) -3 as it falls between the range by the theorem, which states that for any continuous function within a certain range, the function must cross all values within that range.

Explanation:

This question is about the Intermediate Value Theorem, which states that if a function is continuous on a closed interval from a to b, and k is any number between f(a) and f(b), then there is at least one number c in the interval (a, b) such that f(c) = k.

Since the function is continuous for all real numbers and f(-2) = 10 and f(-7) = -5, the function must pass through 0 between -2 and -7 as it moves from 10 to -5. Therefore, the x value for which f(x) = 0 could be between -2 and -7. In the provided options, the only value falling within the interval (-2, -7) is -3.

So, based on the Intermediate Value Theorem, the answer is option a) -3.

Learn more about Intermediate Value Theorem here:

brainly.com/question/38023027

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