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2 years ago

Divide. Write in simplest form. 10 divided by 1 2/3 ?

Mathematics

1 answer:

adell [148]2 years ago

8 0

Answer: 6

Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.

Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.

So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

Therefore, 10 ÷ 1 and 2/3 = 6.

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Each side of a cube measures 5 cm in length. What is the cubes volume?

AysviL [449]

____________________________________________________

Answer:

Your answer would be 125 cm³

____________________________________________________

Step-by-step explanation:

In order to find the volume of a cube, we would need to use the right formula to find the volume for it.

Volume of a cube formula:

$V = a^{3}$

For our "a" value, we would need to plug in our side value, and for you case, the side value would be 5.

In a cube, all of the sides would be the same size, so you don't have to worry about using any different numbers.

Lets plug in 5 to our equation.

$V = 5^{3}$

Now we solve:

$5^{3} = 125\\$

This is also the same as:

$5 *5*5 = 125$

Your FINAL answer should be 125 cm³

____________________________________________________

8 0

2 years ago

Read 2 more answers

Victoria spent one-fourth of her birthday money on clothes. She received another $25 a week later. If she has a total of $70 now

tia_tia [17]

Answer:

she had $60 before she went for shopping

Step-by-step explanation:

PLZ MARK BRAINLIEST

Let x represent the amount of money that Victoria had before she went for shopping.

Victoria spent one-fourth or her birthday money on clothes. It means that the amount she spent on shopping is 1/4 × x = x/4. Amount that she was having left would be x - x/4 = 3x/4

She received another 25$ a week later. The amount that she is having at this point will be 3x/4 + 25

If she has a total of 70$ now, it means that

3x/4 + 25 = 70

Multiplying through by 4

3x + 100 = 280

3x ,= 280 - 100 = 180

x = 180/3 = 60

3 0

3 years ago

Expreessions represent The sum of 3 and n

weeeeeb [17]

Answer:

3+n

Step-by-step explanation:

Simple questions but it can be technical atimes, according to the question we are to solve in terms of n, simple...

The sum of 3 and n can be written as 3+n

This cannot be solved further because there are two different variables and it is impossible to add them together

Therefore the final answer is 3+n

But in case a value is given for n we can then substitute and solve further

Hope this will help you

6 0

2 years ago

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8x-29 + 6x-11 + 3x-1 solve for x

elena-s [515]

Answer:

Step-by-step explanation:

I need help on this too.

5 0

2 years ago

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What are multiplying EXPONENTRAL terms with the same base which best explains how to simplify the expression

I am Lyosha [343]

Answer:

Adding the exponents

Step-by-step explanation:

Multiplying exponential terms with the same base

To multiply exponents with same base , we use exponential property

$a^m \cdot a^m=a^{m+n}$

When we multiply exponents with same base then we add the exponents

So, adding the exponents best explains to simplify the expression that has same base with exponents .

3 0

2 years ago