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3 years ago

Explain how to use the distributive property to solve 48 divided by 3

Mathematics

2 answers:

KonstantinChe [14]3 years ago

8 0

We have to divide 48 by 3 using distributive property.

Division using distributive property is used as it is much easier and accurate.

For dividing 48 by 3, we split first 48 as a multiple of 3 and 10

i.e. 48 = 30+18

Now divide again 18 as 3x5 +3

i.e. 48 = 30+15+3

By distributive property we have 48/3 = (30+15+3)/3 =30/3 +15/3 +3/3

Now easier to calclate this

30/3 = 10 : 15/3 =5 and 3/3 =1

Hence 48/3 = 10+5+1=16

boyakko [2]3 years ago

6 0

<u>Answer:</u>

<u>Step-by-step explanation:</u>

The distributive property for division simply means that you can split the quantity of the given number into smaller chunks that are easier to divide.

Here in this case, we are to divide 48 by 3 so we will split 48 into numbers that are easily divisible by 3:

48 ---> 30 + 18

30 and 18 can be further be split into ---> (15 + 15) + (15 + 3)

Dividing these numbers by 3 to get:

$\frac{15}{3} +\frac{15}{3}+ \frac{15}{3} +\frac{3}{3} = 5+5+5+1=16$

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3 years ago

In a random sample of 200 students, 55% indicated they have full-time jobs, while the other 45% have part-time jobs. Fifty of th

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Answer:

The probability is $\frac{5}{9}$

Step-by-step explanation:

The total number of students are 200.

number of full timers is 110 and number of part timers is 90.

number of male students is 90 and number of female students is 110.

Let the probability of part timers be P(B).

P(B) = $\frac{90}{200}$ = $\frac{9}{20}$

Let the probability of female part timers be P(A)

P(A) = $\frac{50}{200} = \frac{5}{20}$

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3 years ago

Multiple Choice

Zanzabum

A) Answer: A. 22.5 cm, 30 cm, and 37.5 cm

Setting the unity measurement as x, the three sides will be 3·x, 4·x, and 5·x. The sum of the three sides will be (3 + 4 + 5)·x = 12·x; this corresponds to the perimeter, therefore:

12·x = 90 cm

We can solve for x:

x = 90 / 12 = 7.5 cm

Hence, the sides will be:

7.5 · 3 = 22.5 cm

7.5 · 4 = 30 cm

7.5 · 5 = 37.5 cm

This situation is represented in option A (which is also the only option whose sides add up to 90).

B) Answer: C. never true

We have:

6 + 8x - 9 = 11x + 14 - 3x

Bring all the terms with x on the left, by subtracting from both sides 11x and -3x, and all the numbers on the right by subtrcting from both sides 6 and -9:

6 + 8x - 9 - 11x - (-3x) - 6 - (-9) = 11x + 14 - 3x - 11x - (-3x) - 6 - (-9)

Cancel out the opposite terms from each side:

8x - 11x + 3x = 14 - 6 + 9

Combine likely terms:

0x = 17

Now you should ask yourself: what number multiplied by zero gives 17 as a result? The answer is none because a number multiplied by zero always equals zero.

Hence, the statement is never true.

C) Answer: $r \leq \frac{1}{5}$