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3 years ago

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A bottle holds 8.2 ounces of disinfecting soap. Jesse used 0.2 of the soap in the bottle to clean the kitchen floor. How many ou

nces of soap did she use?

1 answer:

Softa [21]3 years ago

3 0

In the question it said jesse used 0.2

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Help me I've been stuck forever! it is an absolute value equation btw.

ehidna [41]

Answer:

${n=\frac{-11}{3} ,3}$

Step-by-step explanation:

Original problem: $2|n+7|=|4n+8|$

Get rid of the absolute value signs by breaking the problem down into two equations, the positive and negative cases.

The first case, the positive case, will be formed by just changing the absolute value symbols ( $|$ ) into parentheses.

$2(n+7)=(4n+8)$

The next case, the negative case, will be formed by changing the absolute value symbols into parentheses as well but the $(4n+8)$ will be multiplied by negative 1.

$2(n+7)=-(4n+8)$

Let's solve the first equation we created with the positive case. Start by getting rid of the parentheses on the right side of the equation.

$2(n+7)=4n+8$

Distribute 2 inside the parentheses.

$2n+14=4n+8$

Combine like terms by subtracting 2n and 8 from both sides of the equation.

$6=2n$

Isolate and solve for n by dividing both sides of the equation by 2.

$3=n$

One of the solutions is 3. Let's solve the second equation we created. Distribute the negative sign inside the parentheses on the right side of the equation.

$2(n+7)=-4n-8$

Now distribute 2 inside the parentheses on the left side of the equation.

$2n+14=-4n-8$

Combine like terms by adding 4n to both sides of the equation.

$6n+14=-8$

Subtract 14 from both sides of the equation.

$6n=-22$

Divide both sides of the equation by 6.

$n=\frac{-22}{6}$

This fraction can be simplified by dividing the top and bottom by 2 to $\frac{-11}{3}$ .

You can check for extraneous solutions by substituting 3 and $\frac{-11}{3}$ back into the original equation. There are no extraneous solutions in this particular problem.

This means that the two solutions of n are 3 and $\frac{-11}{3}$ .

$\boxed{n=\frac{-11}{3} ,3}$

4 0

4 years ago

What is the distance between -4/3 and 1/3

Artist 52 [7]

Answer:

5/3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Answer as quickly as possible

Alenkasestr [34]

Answer:

6. If the x intercept is a then (a,0) is on the line. If y-intercept is b then (0,b) is on the line. Now you have two points of the line and can get its formula. The slope between thse points is m=(0−b)(a−0)=−b/a. So the equation of line is y=mx+b=−bx/a+b. Now rearrange as y+bx/a=b divide by b to get y/b+x/a=1

Sadly I can't get eight right now but once I do I will edit this.

Step-by-step explanation:

8 0

3 years ago

I NEED HELP WITH THIS PROBLEM

allochka39001 [22]

In a triangle, the midline joining the midpoints of two sides is parallel to the third side and half as long

2(5x+2) = 3x + 32
10x + 4 = 3x + 32
10x - 3x = 32 - 4
7x = 28
x = 28/7
x = 4

The length of the midsegment = 5x+2 = 5·4 + 2 = 22

3 0

3 years ago

Translate:product of 4 and a number is increased by 7

lutik1710 [3]

The answer is 4x + 7

8 0

3 years ago