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2 years ago

Which expression is equivalent to One-fifth (150 x minus 80 y + 50 minus 50 x minus 25 y + 20)?

Mathematics

2 answers:

nekit [7.7K]2 years ago

5 0

Answer:

150 x - 80 y + 50 - 50 x - 25 y + 20

<em><u>Arranging </u></em><em><u>like </u></em><em><u>terms </u></em>

150 x - 50 x -25 y - 80y + 50 + 20

100x - 105 y + 70

Doss [256]2 years ago

3 0

Answer:

20x - 21y + 14

Explanation:

$\rightarrow \sf \dfrac{1}{5} (150x - 80y + 50 - 50x - 25y + 20)$

collect like terms

$\rightarrow \sf \dfrac{1}{5} (150x-50x - 80y -25y + 50 + 20)$

add/subtract like terms

$\rightarrow \sf \dfrac{1}{5} (100x - 105y+70)$

distribute inside parenthesis

$\rightarrow \sf \dfrac{1}{5} (100x) + \dfrac{1}{5}( - 105y) + \dfrac{1}{5}(70)$

simplify the following

$\rightarrow \sf 20x -21y + 14$

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3 years ago

Steven just got a new summer job painting fences in his neighborhood. He will be paid $7.25 an hour. His first customer paid him

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Answer:

Part A: 7.25x = 36.25

Part B: 5 hours

Step-by-step explanation:

36.25/7.25 = 5

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4 years ago

All real numbers that greater than -6 but less than 6

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-5...5,that means all types of numbers -5 to 5

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3 years ago

Read 2 more answers

there was a total of 548 dollars collected for tickets to the school play.The adult tickets cost 6 dollars,and the student ticke

eduard

This is a systems of equations problem. To begin, we need to set up our equations.

If there was a total of 548 dollars collected, and adult tickets cost $6, and students tickets $4, this equation represents that situation.

6a + 4s = 548

The variable a stands for adult, and variable s for student. Now, if 12 more student tickets were sold than adults, this would represent that.

a + 12 = s

Now we can set it up as a systems of equations.

$\left \{ {{6a + 4s = 548} \atop {a + 12 = s}} \right.$

Because s = a + 12, we can plug that in into the other equation.

6a + 4(a + 12) = 548

Distribute 4.

6a + 4a + 48 = 548

Combine like terms.

10a + 48 = 548

Subtract 48 from both sides.

10a = 500

Divide both sides by 10.

a = 50

Plug a into the original equation.

50 + 12 = s

Combine like terms.

62 = s

<h3>There were 62 student tickets and 50 adult tickets sold.</h3>

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4 years ago

Suppose that a state introduces a state income tax which will be at a flat rate of 3%. The state legislature wishes to estimate

Greeley [361]

Answer:

The mean income is more useful

Step-by-step explanation:

If you know the mean income, then you can obtain the total income by multiplying for the total population. Once you know the total income, you can deduce the amount of money collected by multiplting the total income by 0.03.

Knowing the median income does only help you so much. The mediam income is only a parameter that says that 50% of the population earn less than that. However, if you dont know how much the richer people earn, you cant deduce how much from taxes will you collect. For a simplified example, the sets A = {1,3,18} and B = {1,3,4} have the same median, 3. however A sums a total of 22, while B only sums 8.

The mode of income alone is also not enough. Again, You can have a lot of salaries ranging from similar values, but if you dont know the exact value of other clusters of salaries, specifically the biggest ones, you will lack a lot of information. As a simplified example, the Sets A = {1,3,3,3,3,3,3, 7, 7,7} and B = {1,3,3,3,3,3,3,3,3,75} have both of them 3 as the most frequent number, however A has a mean of 4, while B has a mean of 10, despite having only 1 mayor cluster of numbers.

Is short, the mean is the bets way to determine the amount of rax collection, because it puts more realistic '<em>weights</em>' on higher income, and because it lets you obtain exact results for the total amount of income.

I hope this helped you!

8 0

3 years ago