Answer:
1 : 3 : 1
Step-by-step explanation:
1 pitcher of lemonade:
Drink mix = 1 tbs
Cups of sugar = 3
Gallon of water = 1
Ratio = 1 : 3 : 1
How much of each ingredient would he need to make 4 pitchers of lemonade?
Multiply all ingredients by 4
Drink mix = 4 tbs
Cups of sugar = 12
Gallon of water = 4
What is the new ratio?
4 : 12 : 4
= 1 : 3 : 1
The new ratio = 1 : 3 : 1
Directly proportional to x.
<h3>What is propotionality?</h3>
- In algebra, proportionality is the equality of two ratios.
- A and B are in the same ratio as C and D in the formula a/b = c/d.
- When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.
- By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved.
- Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.
Acc to our question-
- If two variables' ratios (yx)
- (x and y) have the same value as a constant (k=yx)
- therefore the ratio's variable (y) in the numerator is the sum of the other variable and the constant (y=k:x).
- With a proportionality constant of k, it is claimed that y is directly proportional to x in this instance.
Hence,Directly proportional to x.
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The measure of the brick wall in inches is given by 14.5 x 12 by 5.5 x 12 by 0.5 x 12 = 174 by 66 by 6
Total volume of the brick wall is given by 174 x 66 x 6 = 68,904 cubic inches.
Volume of each brick = 6 x 4 x 2 = 48 cubic inches.
Therefore, number of bricks needed is given by 68,904 / 48 = 1,435.5 bricks.
Answer:
y=3/10x+0.6
Step-by-step explanation:
3x-10y=-6
-3x -3x
-10y=-3x-6
Divide -10 from everything.
y=3/10x+0.6
