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fomenos
3 years ago
10

What is the value of x in 2(x−8)=x+5x​

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0

Answer:

x=-4

Step-by-step explanation:

Lets start by distributing '2' from the parenthesis,

2x-16=x+5x

Now, lest group terms from variable 'x', for that, subtract -2x to both sides of equation,

-16=x+5x-2x

We have.

-16=4x

Isolating x, we have x=-4

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Greg’s sister Ava is 4 years older than him. If the sum of Greg’s age and 2 times Ava’s age is 35, How old is Ava?
Fofino [41]

Answer:

13

Step-by-step explanation:

Create an equation: g+(G+4)(2)=35

Parentheses: g+2(G+4)=35

Distributive property: g+2g+8=35

Combine like terms: 3g+8=35

Subtractive property: 3g=27

Division property: g=9

Greg is 9. Since Ava is 4 years older you add 4 to find her age. Ava is 13. You take Ava’s age times 2 ( equals 26) then add Greg’s age (equals 35). And it should equal 35.

3 0
2 years ago
A red ant travels 9/8 inches in 3/4 minutes and 3 3/8 inches in 2 1/4 minutes what is the ants speed in inches per minute? What
I am Lyosha [343]

Answer:

1. 1.5 inches per minute

2. 90 inches per hour

Step-by-step explanation:

speed = \frac{distance}{time}

1. total distance covered = \frac{9}{8} + \frac{27}{8}

                                      = \frac{9+27}{8}

                                      = \frac{36}{8}

                                      = 4\frac{1}{2} inches

Total time taken = \frac{3}{4} + \frac{9}{4}

                           = \frac{3 +9}{4}

                           = \frac{12}{4}

                           = 3 minutes

The ants average speed = \frac{4.5}{3}

                                         = 1\frac{1}{2}

                                         = 1.5

The ants speed is 1\frac{1}{2} inches per minute.

2. Since;

60 minutes = 1 hour

3 minutes = x hours

x = \frac{3}{60}

  = \frac{1}{60}

  = 0.05 hours

Speed = \frac{4.5}{0.05}

           = 90 inches per hour

The red ants speed is 90 inches per hour.

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3 years ago
The sum of three numbers is 69. The second number is 6 less than the first. The third number is 3 times the first. What are the
almond37 [142]

Answer and Step-by-step explanation:

To solve, we would set the first number to x, and make an equation.

<u>Solve for x.</u>

x + (x - 6) + 3x = 69.

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<u>The third number is 3x = 3(15) = 45.</u>

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Answer:

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3 years ago
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