Step-by-step explanation:
If y was directly proportional to x, the graph of y against x would pass through the origin (O).
Since the graph above does not show this, y is not directly proportional to x.
Answer:
Step-by-step explanation:
To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.
Let's try it with the fractions
2
3
and
3
12
12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.
Now you have the following:
8
12
and
3
12
These fractions now have common denominators! Now they're all set for adding or subtracting fractions.
Try another:
2
6
and
3
5
: The least common multiple of 6 and 5 is 30. (the product of the denominators)
Transform each fraction by multiplying by "1":
2
6
⋅
5
5
=
10
30
and
3
5
⋅
6
6
=
18
30
One last problem:
4
9
and
7
6
What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!
4
9
⋅
2
2
=
8
18
and
7
6
⋅
3
3
=
21
18
Ready to go...
Hope this helped!
Answer: A, C, D
Step-by-step explanation:
A) Correct. They factored out 5.
C) Correct. They factored out 10.
D) Correct. They factored out -5.
Answer:
You would have to write a multi step equation.
4x+13=37
Answer:
Q = 193.27 kg
Step-by-step explanation:
A shopkeeper mixed three quality of pulses weighing 34.650 kg ,68.275 kg and 90.350 kg respectively.
We need to find the total quality of pulse he has. It means, total quality of pulse he has is :
Q = 34.650 + 68.275 +90.350
= 193.27 kg
Hence, he has 193.27 kg pulse.