Given:
The graph of a proportional relationship.
To find:
The constant of proportionality, the value of y when x is 24 and the value of x when y is 108.
Solution:
If y is directly proportional to x, then
...(i)
Where, k is the constant of proportionality.
The graph of proportional relationship passes through the point (5,15).
Substituting x=5 and y=15 in (i), we get
Therefore, the constant of proportionality is 3.
Substituting k=3 in (i) to get the equation of the proportional relationship.
...(ii)
Substituting x=24 in (ii), we get
Therefore, the value of y is 72 when x is 24.
Substituting y=108 in (ii), we get
Therefore, the value of x is 36 when y is 108.
<span>Ishaan is 21, Christopher is 7
No actual question given, but I will assume that the question is "How old are they?". If that's the case, we can create two equations. I'll use I for Ishaan's age and C for Christopher's. I will also assume that there's been some formatting issues here and for some reason, numbers are repeated 3 times without any spaces. So
"Ishaan is 3 times as old as Christopher"
I = 3C
"is also 14 years older than Christopher
I = C + 14
Since both equations are equal to each other, let's set them equal. So
3C = C + 14
2C = 14
C = 7
So Christopher is 7. And we can use the equation I = C + 14 to get Ishaan's age. So
I = C + 14
I = 7 + 14
I = 21</span>
Answer:
1 would be 10%, but a proportion is a ratio, as in this case 10/100 = 1/10= . 1, but 10% is not a ratio in of itself, but is a proportion of 100. % means OF one hundred. A proportion is a number TO another number.
Step-by-step explanation:
Answer:
x = 59/35
Step-by-step explanation:
<u>Step 1: Distribute</u>
1/8 - 10(3/4 - 3/8x) + 5/8x
1/8 - 30/4 + 30/8x + 5/8x
<u>Step 2: Combine like terms</u>
1/8 - 30*2/4*2 - 30/8x + 5/8x
1/8 - 60/8 + 35/8x
-59/8 + 35/8x
<u>Step 3: Solve for x</u>
-59/8 + 35/8x + 59/8 = 0 + 59/8
35/8x * 8/35 = 59/8 * 8/35
x = 59/35
Answer: x = 59/35
