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patriot [66]
3 years ago
12

Ann and Joes father donated 3$ for for every lap they sam in a swim a thin. Ann swam 21 laps and joe swam 15 laps. Use he distri

butive property to find the amount of money their father donated
Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

To solve this problem, we must remember that the distributive property allows us to get rid of parentheses by multiplying the coefficient by each of the terms in parentheses. In this case, our coefficient is 3, because that is the number of dollars Ann and Joe's father will donate per lap. This means that we must multiply this by the total number of laps that they swam, which can be found by adding together their individual number of laps, 21 + 15.

This makes our expression: 3(21 + 15)

Using the distributive property, we can multiply both numbers in the parentheses by 3 to simplify our expression, as shown below:

3(21) + 3(15)

Now, we must multiply these numbers together to simplify.

63 + 45

When we add these two numbers together, we get 108.

Therefore, your final answer is that their father donated $108.

Hope this helps!

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Sylvia earns $7 per hour at her after school job. After working one week, she received a paycheck for $91.
makvit [3.9K]

Answer:

a.) hours=13

b.) h\leq 15

c.) $$105

Step-by-step explanation:

a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let <em>h</em> be the unknown number of hours:

7h=91

Solve for h. Divide both sides by 7:

\frac{7h}{7}=\frac{91}{7}\\\\h=13

Sylvia worked 13 hours at a rate of $7 an hour.

b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let <em>h</em> be hours:

h\leq 15

Sylvia can work less than or equal to 15 hours per week.

c.) If Sylvia can work 15 hours, plug in this value for <em>h</em> into an equation when she earns $7 per hour. Let the product of the hours and money equal <em>t</em> for total:

t=7(15)\\t=105

The most money Sylvia can earn in a week is $105.

<em>Finito.</em>

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3 years ago
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inna [77]

Answer:

2

Step-by-step explanation:

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A minor league baseball team plays 128 games a seanson. If the tam won 16 more than three times as many games as they lost how m
tiny-mole [99]

Answer: The team won 100 games and losses 28 games

Step-by-step explanation:

Let the number of games won denoted by x and the games lost is denoted by y .

Given : A minor league baseball team plays 128 games in a season.

Team won 16 more than three times as many games as they lost.

Then, the system of equations, we have

x+y=128-------(1)\\\\x=3y+16------------(2)

We can rewrite equation (2) as x-3y=16----------------(3)

Now, Eliminate equation (3) from (1), we get

y-(-3y)=128-16\\\\\Rightarrow\ 4y=112\\\\\Rightarrow\ y=\dfrac{112}{4}=28

Substitute the value of y in (2), we get

x=3(28)+16=84+16=100

Hence, the team won 100 games and losses 28 games.

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3 years ago
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Art [367]

Answer:

50000y^9.

Step-by-step explanation:

(2y)^4 * (5y)^5

= 2^4 y^4 *  5^5 y^5

= 16y^4 * 3125y^5

= 50000y^9.

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