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erastova [34]
4 years ago
6

How to use denominators when comparing two fractions with the same numerators

Mathematics
2 answers:
Sholpan [36]4 years ago
4 0
What you would do is take the denominators and multiply them by each other, then multiply the numerators by that same number. So like 4/10 and 4/9. You would say, (denominators) 10x9=90 and (numerators) 4x9=36. So your first fraction would be 36/90. Next, you would take (denominators) 9x10=90 and (numerators) 4x10=40. So your second fraction would become 40/90. Now it's a lot easier to compare. 36/90 < 40/90 would be the answer to my problem. I hope I helped!
Ainat [17]4 years ago
3 0
Yes what the person said above I'm just lazy and don't want to type all that
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Tobys office had already recycled 7 kilograms this year before starting the new recycling plan, and the new plan will have the o
iren [92.7K]

Answer:

32 weeks.

Step-by-step explanation:

Let w represent number of weeks.

We have been given that the new plan will have the office recycling 1 kilogram of paper each week. So kilograms of paper recycled in w weeks would be 1\cdot w=w.

We are also told that Toby's office had already recycled 7 kilograms. So total kilogram of paper recycled in w weeks would be w+7.

Since Toby's office has to recycle a total of 39 kilograms of paper, so we will equate 39 with paper recycled in w weeks as:

w+7=39

w+7-7=39-7

w=32

Therefore, it will take 32 weeks for Toby's office to recycle a total of 39 kilograms of paper.

7 0
4 years ago
Please help!
Kobotan [32]

Answer:

You have three card : 3, 4, and 5.

You first pick one card randomly, the probability of picking a 3 is:

P = 1/3

You then pick a second card without putting the first card back, the probability of picking a 5 is:

P = 1/2

=> The probability of picking a 3 and then picking a 5:

P = (1/3) x (1/2) = 1/6

Hope this helps!

:)

8 0
3 years ago
Find the difference. The answer should be in simplest form.<br><br> −2/3 − 1/3 =
MakcuM [25]

Answer:

-1

Step-by-step explanation:

-2/3 - 1/3

Since the denominators are the same, we can combine the numerators

-3/3

Simplify

-1

5 0
4 years ago
If f(x) = 3x – 1 and g(x) = x^2 + 4, find the (gºf)(x).
mezya [45]

Answer: 9x²-6x+5

Step-by-step explanation:

To find (gοf)(x), you want to plug f(x) into g(x). It is the same as g(f(x)).

g(f(x))=(3x-1)²+4                  [distribute by FOIL]

g(f(x))=9x²-6x+1+4              [combine like terms]

g(f(x))=9x²-6x+5  

Now, we know that (gοf)(x)=9x²-6x+5.

5 0
4 years ago
Factor completely 9x2 42x 49. (3x 7)(3x − 7) (9x − 7)(9x − 7) (3x 7)(3x 7) (9x 7)(9x 7).
sweet-ann [11.9K]

Factors of the given expression by splitting middle term of expression9x^2+42x+49 will be (3x+7) and (3x+7).

Given expression is

9x^2+42x+49

<h3>What is a factor?</h3>

A factor is a number that divides another number leaving no remainder

After we split 42x into 21x each,

The expression looks like,

9x^2+21x+21x+49

3x(3x+7)+7(3x+7)\\

Taking 3x+7 as common

(3x+7) (3x+7)

So factors will be (3x+7) and (3x+7).

Therefore,

Factors of the given expression 9x^2+42x+49 will be (3x+7) and (3x+7).

to get more about factors refer to:

brainly.com/question/25829061

6 0
3 years ago
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