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3 years ago

Solve |2x - 6| > 10

1 answer:

4 0

$\text{Solve the absolute value:}\\\\\text{(Remember, there are two outcomes)}\\\\\text{First outcome:}\\\\2x - 6 > -10\\\\\text{Add 6 to both sides}\\\\2x>-4\\\\\text{Divide:}\\\\x 10\\\\\text{Add 6 from both sides}\\\\2x>16\\\\\text{Divide both sides by 2}\\\\x>8\\\\\boxed{\text{Answer: B.}\,{x|x < -2 \,or \,x > 8}}$

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A cylindrical water tank is being filled with a hose. The depth of the water increases by 114 feet per hour. How many hours will

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The answer would be 2 3/4 hours

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3 years ago

Sanjay said that if a line has a slope of zero, then it never touches the x-axis. Which line proves that his statement is

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3 years ago

Read 2 more answers

Find the approximate side length of a square game board with an area of 105 in2.

aleksley [76]

Answer:

Rounded to the nearest inch: 10

Rounded to the nearest tenth: 10.2

Rounded to the nearest hundredth: 10.25

Step-by-step explanation:

To find the area of a square, we multiply the side length by itself, or in other words, SQUARE the side length!

$A=s^2$

We are given the area, so plugging that into our equation looks like this:

$105=s^2$

To eliminate the exponent, take the square root of both sides of the equation!

$\sqrt{105}=s$

From here, there are a few paths to take, depending on what your teacher is looking for. I will evaluate the approximate of the square root by finding the nearest perfect squares.

The nearest perfect square less than √105 is √100, and the nearest perfect square greater than √105 is √121.

105 is closer to 100 than to 121, so √105 is closer to √100.

√100 is equal to 10, so the √105 is approximately 10 inches!

Using a calculator to check:

$\sqrt{105}=10.247$ inches

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1 year ago

The sum of two numbers is 64. One number is 8 more than the other. What are the two numbers?

lisabon 2012 [21]

Answer:

28 and 36.

Step-by-step explanation:

Alright, so we are given that the sum of two numbers is 64. Based on this, we know that we are going to be adding because the question said "the sum of two numbers is 64." Sum is the answer to an addition problem. Lets write an equation.

We need a variable, let x be the variable which is the value of the smaller number.

the equation is x+x+8=64

x= to the smaller number

x+8= to the number that is eight more than x or the smaller number.

Before we isolate for x, we need to simplify the expression by combining the like terms.

x plus x equals 2x.

Therefore, we have 2x+8=64.

Our goal is to isolate x, so we need to subtract 8 from both sides. 8 mius 8 is 0, and 64 mius 8 is 56.

Now, we have 2x=56.

We still need to isolate x by dividing both sides by 2. 2 divided by 2 is 1, so we are left with 1x or x. 56 divided by 2 is 28.

x=28.

Great, we found what x or the smaller value is.

Now, we need to find the larger number.

Substitute x as 28 into x+8 to find the number that is 8 more than the smaller number or x. You'll then get 36. If you add 36 and 28, you get 64. Also, 36 is 8 more than 28, so this answer is correct.

Hope this helps!

4 0

3 years ago

HELP ME I DON'T UNDERSTAND IT :(

a_sh-v [17]

Answer:

Step-by-step explanation:

A is (-8,8) so you would divide each 8 by 4 because 8 divided by 1/4 so you will have (-2,2)

B is (-8,4) so divide the by 1/4 which would be (-2,1)

C is (4,-4) so divide that and and you get (1,-1)

5 0

3 years ago