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aleksandrvk [35]
2 years ago
5

Use the distributive property to solve the equation 4x/5-x=x/10-9/2

Mathematics
1 answer:
Oksana_A [137]2 years ago
4 0

Answer:

\Huge\boxed {x = 15}

Step-by-step explanation:

⟾Collect like terms

  • 8x - 10x = x - 45

⟾Move the variable to the left

  • - 2x = x - 45

⟾Collect like terms again

  • - 2x - x = - 45

⟾Divide both sides by -3

  • - 3x = - 45

⟾ x = 45 ÷ 3

  • x = 15.

Hope it's helps you

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Nestor works at a garden center where he pots plants. It take's him 2 1/2 hours to pot 15 plants.
Aneli [31]

Answer:

6 per hour

Step-by-step explanation:you would divide 15 by 2 and 1/2

7 0
2 years ago
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Match the following items by evaluating the expression for x = -6.
Kryger [21]

Step-by-step explanation:

Put the value of x = -6 to all expressions:

x^{-2}=(-6)^{-2}=\dfrac{1}{(-6)^2}=\dfrac{1}{6}\qquad\text{used}\ a^{-n}=\dfrac{1}{a^n}\\=====================\\x^{-1}=(-6)^{-1}=\dfrac{1}{(-6)^1}=-\dfrac{1}{6}\\=====================\\x^0=(-6)^0=1\qquad a^0=1\ \text{for all real numbers except 0}\\=====================\\x^1=(-6)^1=-6\qquad a^1=a\ \text{for all real numbers}\\=====================\\x^2=(-6)^2=36

5 0
2 years ago
The state of Wisconsin would like to understand the fraction of its adult residents that consumed alcohol in the last year, spec
leonid [27]

Answer:

The answer is below

Step-by-step explanation:

What we should do is the following:

First, from the random sample of 852 researchers, it is necessary to obtain the number of adult residents who consumed alcohol in the past year.

After the above, we must calculate the proportion of adult residents who consumed alcohol in the last year by dividing the number of adult residents who consumed alcohol in the last year by 852.

After this, we must compare if the proportion is exactly 70% or different from it.

We have the following hypotheses:

Null Hypothesis: The proportion of adult residents who consumed alcohol in the last year in the state of Wisconsin is exactly 70%

Alternative hypothesis: The proportion of adult residents who consumed alcohol in the last year in the state of Wisconsin is not equal to 70%

4 0
2 years ago
At Riptide Roller Coaster Park, 55% of those surveyed named the Super Loop as their favorite ride. If 1,100 people chose the Sup
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Answer: 2000

Step-by-step explanation:

55 multiplied by 20

is equal to 1,100

100 multiplied by 20

is equal to 2000

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3 0
1 year ago
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The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. T
svlad2 [7]

Answer:

250.50 - 35m = 300 - 45.25m

Step-by-step explanation:

Whenever an equation asks for when it will take x (or m in this case) amount of things or time you should know that there will be 2 different equations that have to equal each other

The equation will be 250.50 - 35m = 300 - 45.25m

The 35m is being subtracted from 250.50 because they are losing money each time they spend. This also applies to 45.25m

Also 35m and 45.25m are variables because it says they spend that much money each month. They don't specify how many months, so we have to put a variable after it.

7 0
2 years ago
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