MATHEMATICS MIDDLE SCHOOL

Kevin uses 84 fluid ounces of water to make an all purpose cleaner the directions call for 4 fluid ounces of concentrated soap for every 3 cups of water how many fluid ounces of soap should he use? ( 1 cup=8 fl oz)​

Answers

Answer 1
Answer:

Answer: He should use 14 fluid ounces of soap.

Step-by-step explanation:

1. You need to make the conversion from cups to ounces.

You know that:

1\ cup = 8\ fluid\ ounce

Then:

(3\ cups)((8\ fluid\ ounce)/(1\ cup))=24\ fluid\ ounce

2. According to the information given in the exercise, Kevin must use 4 fluid ounces of concentrated soap for every 3 cups of water or 24 fluid ounces of water.

Then, knowing that he uses 84 fluid ounces of water to make an all-purpose cleaner, you can set up the following proportion:

(4)/(24)=(x)/(84)

Where "x" is the total fluid ounces of soap that Kevin should use.

3. Solving for "x", you get this result:

(84)((4)/(24))=x\n\nx=14

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Answers

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Please Help, Math question. What is the prime factorization of 86? Use * for multiplication.

Answers

Answer:

2 * 43

Step-by-step explanation:

Answer:

2*43

Step-by-step explanation:

Mark spent half of his weekly allowance on candy to earn more money his parents let him weed the garden for four dollars what is his weekly allowance if he ended with $11?

Answers

his allowance is $14

to find this you:

11-4=7

7*2= 14

The 11 is what he had the four is what he was given extra and the multiplied by two is because he spent half of his money at the candy store

Before he got 11$ he had 7$ as he got 4$ by weeding the garden.

in the question, he spent half his weekly allowance on candy then got 4$ that means half of his weekly allowance is seven hence is weekly allowance is 2 times seven which is 14$.

Hope this helps

Richard practiced piano each of 3 piano solos for 5/12 hour. How long did he practice in all? Please show how to figure

Answers

3 piano solos....each is 5/12 hr....
u can either add : 5/12 + 5/12 + 5/12 = 15/12 = 1 1/4 hrs

or u could multiply : 3 * 5/12 = 15/12 = 1 1/4 hs

either way....same answer

Three equivalent ratios to 5/2

Answers

To find equivalent ratios, we just need to perform the same action to each the top and bottom number.

5/2 = 5*2/2*2=10/4

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What is the equation parallel to y= -1/5x + 3 and goes through the point (7,4)? Please show steps.

Answers

Answer:

Step-by-step explanation:

If it's parallel, that means it has the same slope: -1/5.

Use point-slope form to write the equation:

y - 4 = -1/5 (x - 7)

If you wish to write in point-intercept form:

y - 4 = -1/5 x + 7/5

y = -1/5 x + 27/5

If two lines are parallel, it means that they will have the same gradient:

And remember, the equation of a line is y = mx +c

-----------------------------------

So we know that the equation of the parallel line is:

y = - (1)/(5)x + c        through point (7, 4)

All we need to do now is to work out what c is

Note: at point (7,4)  x = 7 , and y = 4.

So to work out c, we substitute in the values of x and y, and solve:

y = - (1)/(5)x + c

4 = - (1)/(5) * 7 + c

4 = -1.4 + c

5.4 = c

----------------------------------

Finally, we just put the value of c back into the original equation

y = - (1)/(5)x + 5.4

------------------------------------------

Answer:

The equation of the a line parallel to y = - (1)/(5)x + 3    through point (7,4)

is: y = - (1)/(5)x + 5.4
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