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Afina-wow [57]
3 years ago
13

Jack said that if you take a number and multiply it by a fraction, the product will always be smaller than what you started with

. Is he correct? Why or why not? Explain your answer, and give at least two examples to support your thinking.
Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Answer:

Is not correct. The product not always will be smaller.

Step-by-step explanation:

A fraction could increase a number if you multiply it.  

If the numerator is higher to the  denominator,  it will increase it.  

If the numerator is smaller to the  denominator,  it will decrease it.

<u>For example,</u>

10 x 4/3

For fraction multiplication, multiply the numerators and then multiply the denominators to get

10×4/1×3=40/3= 13,33

13,33 is higher than 10.

5 x 10/3

For fraction multiplication, multiply the numerators and then multiply the denominators to get

5×10/1×3=50/3

16,66 is higher than 5.

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5(x + y)

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When n is divided by 12,the remainder is 6.What is the remainder when n is divided by 6?
trapecia [35]
For some number to be divisible by 12 it has to be divisible by 6 and by 2.
we can write number n as:

n = 6 + 12*k     where k is positive integer.
If we divide n by 12 we will get remainder 6 because 12*k part is divisible by 12.
The part 12*k is as said divisible by 12 which means it is divisible by 6 (as first stated) and it has remainder 0. That leaves us with 6/6 which again has 0 as remainder. That means that number n is divisible by 6

The answer is 0
7 0
3 years ago
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The sum of an infinite geometric series is 450, while the common ratio of the series is 4/ 5 . What is the first term of the ser
pogonyaev

Answer:

answer is 90 for first term

Step-by-step explanation:

Let the terms be  

First term x

We will use the formula s∞=x/1−r to find the sum of an infinite geometric series, where −1<r<1.  

We know the sum and the common ratio, so we'll be solving for x where r =4/5

s∞=x/1−r

450=x/1−4/5

450=x/1/5

450=5x

x=90

this is the first term x1 = 90

we know that common ratio is 4/5, so multiplying the first term by factor 4/5 to get the second term  

90 x 4/5=   72 second term  

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3 years ago
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