Can anyone help me with ratios

Answers

Answer 1

Answer: Well I am not good with ratios but I could try. What do you need help with?

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A gallon of water weighs 8.354 pounds . Simon uses 11.81 gallons of water while taking a shower. About how many pounds of water did Simon use?

Answers

You have to do a conversion of units:

$11.81\ gal\cdot (8.354\ lb)/(1\ gal) = \bf 98.66\ lb$

With a tank of gas, if you can drive 475 miles, your car uses 12 miles per gallon. Write an equation to model this situation

Answers

12mi=1gal
475mi=(475/12)=39.583gal

On a road trip a car travels 287 miles in 3 hours and 30 minutes. What is the average mile per hour that they traveled?PLEASE HURRY

Answers

Speed = Distance / Time

Distance = 287 miles , Time = 3 hours and 30 minutes = 3.5 hours

Speed = 287 miles / 3.5 hours

= 82 miles/hour

Find the two possible factors for the estimated product 1,600

Answers

well, of course there is 1 and 1600, but all the factors up to times 10 are:

1,2,4,5,8,10,160,200,320,400,800,1600.

one year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son' age. Find their present ages.

Answers

First of all, we know that the man's age was divisible by 8 one year ago. So, let's list a few numbers that are divisible by 8, and work from there.

8, 16, 24, 32, 40, 48, 56, 72, 80, 88, 96 are all divisible by 8.

We also know that his current age is the square of his son's age. So we can check the numbers that follow the multiples of eight to see if they'll work.

The subsequent numbers, in order, are

9, 17, 25, 33, 41, 49, 57, 73, 81, 89, 97

Now, let's list which ones are squares, meaning a number multiplied by itself is equal to anther number.

9 is the square of 3
25 is the square of 5
49 is the square of 7
81 is the square of 9

Only these four will work, but right now, ANY of these four will work. Let's use a little science to narrow it down.

It is scientifically improbable for a 9-year-old to have a 3-year-old son, so we'll rule that one out. It's also highly unlikely that an 81-year-old has a 9-year-old son, so we'll cross that off the list, as well.

This leaves a 25-year-old man with a 5-year-old son, and a 49-year-old man with a 7-year-old son, both of which are most likely.

At this point, you can choose whichever you'd like, or put down both as the answer.

The man and his son's present ages are either 25 and 5, or 49 and 7.

Find the value of b and cPLEASE SHOW WORK!

b(3x $x^(2)$ -2x+c) = 9 $x^(2)$ - 6x+15

Answers

Answer:

b=3

c=5

Step-by-step explanation:

b(3x^{2}-2x+c) = 9x^{2} - 6x+15

Distribute

3b x^2 -6x +bc = 9x^2 -6x +15

Each term must be equal

3bx^2 = 9x^2

3b = 9

Divide by 3

3b/3 = 9/3

b =3

bc = 15

3c =15

Divide by 3

3c/3 = 15/3

c =5