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3 years ago

Explain why 6^3x7^3=42^3 is correct.

2 answers:

5 0

Because 6 x 6 x 6 is 216 and 7 x 7 x 7 is 343 if you multiply those two umbers together you will get the same answer as 42 x 42 x 42 which is 74,088

Orlov [11]3 years ago

4 0

Answer:

${6}^{3} \times {7}^{3} = {(6 \times 7)}^{3} = {42}^{3}$

Step-by-step explanation:

When two or more quantities have the same exponents, their bases can be multiplied together.

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Charmaine works mowing lawns and babysitting. She earns $8.80 an hour for mowing and $8.10 an hour for babysitting. How much wil

FinnZ [79.3K]

Answer:

Charmaine earns $60.90 for 6h for mowing and 1h for babysitting.

Step-by-step explanation:

We must write the data problems.

Charmaine = $8.80/h mowing

Charmaine = $8.10/h babysitting

How much will Charmaine earn for 6 h mowing and 1 h babysitting?

1 h mowing ....................... $8.80

6 h mowing ....................... $x

x = 6 h mowing * $8.80

x = $52,8

To find the total earn of Charmaine, we have to gather the earns from mowing and babysitting.

$52,8 (from mowing) + $8.10 (from babysitting) = $60.90

6 0

3 years ago

The sales manager of a company awarded a total of \$3000$3000dollar sign, 3000 in bonuses to the most productive salespeople. th

lord [1]

Let number of $250 bonus = x

Let number of $750 bonus = 7

Given that total bonus amount awarded is $3000. So we can write equation:

250x+750y=3000

750y=3000-250x

$y=\frac{3000-250x}{750}$

$y=\frac{300-25x}{75}$

$y=\frac{12-x}{3}$

Given that both type of bonus awarded are at least one.

So that means y>1 and x>1

Now we have to find any one possible solution.

Number of awards can only be whole numbers so we can plug x=2,3,4,... to see which one satisfies above equation and gives x as whole number.

I found that x=3 is working good.

at x=3, we get:

$y=\frac{12-x}{3}$

$y=\frac{12-3}{3}$

$y=\frac{9}{3}$

y=3

Hence final answer is given by:

Number of $250 bonus = 3

and number of $750 bonus = 3

3 0

3 years ago

A real estate broker sold your house for $189,000. The broker's commission was 4.5 percent of the selling price. How much would

k0ka [10]

First, we are going to find the commission of the broker. To do that we are going to multiply the selling price of your house by 4.5 percent:
$189000*$ 4.5%= $189000* \frac{4.5}{100}=8505$

Next we are going to subtract the broker's commission ($8505) from the selling price of your house:
$189000-8505=180495$

We can conclude that you will get $180,495 from your house after the commission is paid.

3 0

3 years ago

A fair six-sided dice is rolled 144 times. How many times would you expect to roll a 2?

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

144 divided by 6

8 0

3 years ago

Read 2 more answers

Can someone pls help me

Irina18 [472]