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Vikentia [17]
3 years ago
11

Rusty's hair grows at the rate of 1 over 4 inch per month.

Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0
1/4 = 2/8. Remember that. This means that 1/8 is equal to half of a month. It there is 5/8, you can add a half month for every eights. In this case, it will take 2 and a half months
Easy Way:<span>If your hair were to grow 1/4 inches a month, it would also grow 2/8 inches a month, since 1/4 = 2/8. How long with it take 1/8 (0.5/4)inches to grow? It would take a half of a month for your hair to grow 1/8 inches.
</span><span>Now that we know 1/8 inches grows in a half of a month, we add a half of a month for every eigths. Since we are trying to figure out how long it would take for it to grow 5/8 inches, we add 5 half months to get the answer of 2 and a half months. Kind of confusing, but that is the best way I can describe it.</span>
mr Goodwill [35]3 years ago
4 0
(1/4)in/month

Now let's make an equation for this. 

They already sortah set this up. For every month we grow 1/4 inches. So our variable will be m for month. 

1/4m = 5/8

So what we are going to do is solve for m, the number of months it will take to get to 5/8 inches. 

To do so we need to remove the 1/4 by multiplication. (Also you can think of 1/4m as m/4. They are both correct forms) 

(1/4m)*4 = (5/8)*4

It will cancel out on the left side. 

m = 20/8

Reduce the number!

m = 10/4

Reduce it more!!

m = 5/2

So it will take 5/2 months for it to grow that long. 

My guess by the wording of the question it wants us to use fractions to find that answer. So we'll do that too. 

Find a common denominator. 
1/4 * 2/2 = 2/8

As we go up the number of months increases by 1. Each time I multiply the original number (2/8 per month) by the number of months. 

2/8, 4/8, 6/8

So we are now above our answer of 5/8. We are going up by 2 each month. But we need half of that. So we do this: m/2. In other words half of a month. So in order to get to 5/8 we will need to wait 2 and a half months. 

So 2.5 months. Or in fraction form 5/2. 

Explanation: 
The given answer is due to the rate given of 1/4 of an inch per one month. So, we need to find a common denominator to make this easier. After multiplying the fraction by two over two to get a common denominator I then begin to multiply it by the number of months. After multiplying by three we see that the number exceeds our number of 5/8 inches. So three is too much, because we only need 1/8 more instead of 2/8 more. So we take half of a month instead of a full month to give us the answer of 2.5 or 5/2. 
 
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The sum of eight and twice a number is 42
saveliy_v [14]

Answer:

8 + 2n = 42

Step-by-step explanation:

the sum of eight:   ___+ 8

and twice(2) a number(could be any variable but for now i choose n):   <u>2n</u> + 8

is 42 (literally mean it equals 42):    <u>2n</u> + 8 = 42

4 0
2 years ago
How many solutions are there to the equation below? 4(x-5)=4x-24
blondinia [14]

It is a linear equation so there can be 1 solution, 0 solutions, or infinite solutions

4(x-5)=4x-24

distribute

4x -20 = 4x-24

subtract 4x from each side

-20 = -24

no solutions


6 0
3 years ago
Read 2 more answers
The length of a rectangle is 4 less than three times its width. The perimeter is 72 feet. What are the dimensions of the rectang
Liono4ka [1.6K]
Say width equals x.
Length = 3x - 4
Solve for x: 72 = 2(3x - 4) + 2x
72=6x-8+2x
80=8x
X=10
So width = 10
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8 0
3 years ago
Use synthetic division to determine if x+2 is a factor of f(x)=5x2+13x+6
Karolina [17]

Answer:

x+2 is a factor of f(x)  = 5x^2 + 13x + 6

Step-by-step explanation:

To check: If (x+2) is a a factor of the polynomial f(x)  = 5x^2 + 13x + 6

We need to check if x  = -2 is the FACTOR of the given polynomial.

⇒ To show:  f (-2)  =  0

Now

f(-2)  = 5(-2)^2 + 13(-2) + 6\\=5(4) -26 + 6\\= 20 + 6 - 26\\= 26 - 26  = 0\\\implies f(-2) = 0

Since, f(-2) = 0

⇒  -2 is the ROOT of the Polynomial f(x).

⇒(x +2) is the factor of the given polynomial.

Hence, x+2 is a factor of f(x)  = 5x^2 + 13x + 6

4 0
3 years ago
If a worker can do his job in 5 hours, and a student can do the same job in 8 hours, what part of the work is left to finish aft
Aleks [24]

Answer:

Part of work left to finish after two work hours is 7/20

Step-by-step explanation:

Firstly, we need to calculate their joint work rate

That will be;

1/(1/5 + 1/8) = 1/(13/40) = 40/13

This means that they will complete the task in 40/13 hours

1 whole part takes 40/13

x part will take 2 hours

x * 40/13 = 2

40x = 26

x = 26/40

So the part that will be completed in two hours is 26/40

This means that the part left to complete will be:

1 - 26/40 = 14/40 = 7/20

8 0
3 years ago
Read 2 more answers
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