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3 years ago

What is the solution to 6|3x+5| less than equal to 14?

1 answer:

3 0

In this case there will be 2 solutions to solve for in this equation, both will equal plus and minus the answer. Which is 14.

6(3x + 5) = +_ 14

The solutions will be the following :

(14/6 - 5)/3

(-14/6 - 5)/3.

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Five more than twice a number is??

kenny6666 [7]

Answer:

2x+5

Step-by-step explanation:

If you say something is twice a number you multiply it by 2. Therefore we have 2x, x meaning whatever number you want to plug in. Five more means that you have to add 5 to the previous solution.

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3 years ago

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

jolli1 [7]

First, you need to isolate the x in the first equation.
-x + 5y = 1
Subtract 5y from both sides, leaving you with the following equation:
-x = 1-5y
Because you are trying to solve for positive x and not negative x, you need to make x positive. Therefore you divide both sides by -1. In Algebra, when 1 is the coefficient of the variable, it is not shown, but it is still there. The new equation will be the following: x = 5y-1
Now you just need to substitute the x within the second equation for the x equation we just solved for.

Therefore, the right answer will be 2(5y-1)+4y= -4. Now, all you have to do is choose the answer that states exactly that, which is the first choice.

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3 years ago

Tom and Shirley, working together can mow the lawn in 6 hours working alone Shirley takes three times as long as Tom how long do

olchik [2.2K]

Answer:

It would take Tom 8 hours alone

Step-by-step explanation:

We are looking at this basic equation:

Tom + Shirley = 8 hours

Tom takes x hours to cut the grass; this means that 1/x of the job gets done in 1 hour

It takes Shirley 3 times as long as Tom, so it takes her 3x hours to cut the grass; this means that 1/3x of the job gets done in 1 hour

If the total number of hours it takes them to do the job is 6 hours; this means that 1/6 of the job gets done in 1 hour

Looking back at the original basic equation, we will fill in our info:

$\frac{1}{x}+\frac{1}{3x}=\frac{1}{6}$

We can solve for x by first finding the LCD and eliminating the denominators. The LCD is 6x, since all the denominators go into 6x evenly.

We will multiply the rational equation through by the LCD:

$6x[\frac{1}{x}+\frac{1}{3x}=\frac{1}{6}]$

Dividing each denominator into the LCD gives us:

6 + 2 = x so

x = 8

This means that it takes Tom 8 hours to do the job alone. It would take Shirley 24 hours alone. Ugh.

8 0

4 years ago