Answer:
All numbers can be written as a product of the prime numbers that conform them.
A) Find two numbers with a common factor of 3 only.
for example:
2*3 = 6
7*3 = 21
Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.
B) Write a pair of numbers with a common factor of 2, 3 and 6.
Here we can write:
2*3*2 = 12
3*2*5 = 30
Those two numbers have the common factors 6, 2 and 3.
C) Write a pair of numbers with common factors of 3, 6 and 9.
3*2*3 = 18 (has the factors 2, 3, 3*2 = 6, 3*3 = 9)
-3*2*6 = -36
Both have the common factors 3, 6 and 9 (and they share more common factors like 2, this happens because 6 = 3*2, so if 6 is a common factor, 2 also must be)
Answer:
Step-by-step explanation:
To find equivalent fractions, multiply the numerator and the denominator by the same table.
a) 5/6

b) 7/11

c)9/7

Answer:
The water she need is
and strawberry syrup
.
Step-by-step explanation:
Given:
Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.
Now, to find the quantity of water and syrup she need to use.
As given in question ratio so:
Strawberry syrup = 2 1/4 = 9/4.
Water = 3/4.
Total cups of strawberry drink = 15 3/4 = 63/4.
Let the strawberry syrup be
.
And let the water be
.
According to question:
.
<em>On adding the fractions:</em>
⇒
⇒
<em>Multiplying both sides by 4 we get:</em>
⇒
<em>Dividing both sides by 12 we get:</em>
⇒
<em>Dividing numerator and denominator by 3 on R.H.S we get:</em>
⇒
Now, putting the value of
on ratios:
Strawberry syrup =
= 
=
Water = 
=
= 
Therefore, the water she need is
and strawberry syrup
.
It's the last option again. You have 1 linear factor (3<em>x</em>) and 2 copies of a quadratic factor (<em>x</em>² + 10), and the partial fractions with the quadratic factor need to have a linear polynomial in the numerator.