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12345 [234]
3 years ago
11

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

Mathematics
1 answer:
adell [148]3 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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Jose found a beach ball in his garage. He wants to know how much plastic was used to
Serjik [45]

Answer:

  about 616 in²

Step-by-step explanation:

The area of a sphere is given by ...

  A = πd²

For a ball 14 inches in diameter, the area is ...

  A = π(14 in)² = 196π in²

  A ≈ 616 in²

The area of the required plastic is about 616 square inches.

4 0
3 years ago
A bouncy ball is dropped such that the height of its first bounce is 7 feet and each successive bounce is 67% of the previous bo
tatyana61 [14]

Answer:

4.79

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3 years ago
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-15 = z/-2 what does z equal?
Serga [27]

Answer:

30 =z

Step-by-step explanation:

-15 = z/-2

Multiply each side by -2 to isolate z

-2 * -15 = z/ -2 * -2

30 =z

7 0
3 years ago
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PLEASE ANSWER FAST
masha68 [24]

Answer:

I think the answer is A. Hope this helps!

Step-by-step explanation:

6 0
3 years ago
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Having trouble with this one help appreciated
Hoochie [10]

Answer:

The constant of proportionality is 3.50.

Step-by-step explanation:

We know that when y directly varies with x, such that

y=kx

The number 'k' is called the constant of proportionality.

Given the equation

y=3.50x

as

y=kx

so

k=3.50           ∵ y=kx

Here the value of k = 3.50, which is the constant of proportionality.

Therefore, the constant of proportionality is 3.50.

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3 years ago
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