Given:
Eighteen 2.5 gallon buckets are needed to fill a cistern with water.
To find:
The constant of variation.
Solution:
If y is directly proportional to x, then
Where, k is constant of variation.
In the given problem, water in cistern (w) is directly proportional to number of buckets (n).
(Capacity of each bucket is 2.5 gallons)
Therefore, the constant of variation is 2.5.
Answer: the equations are
0.02x + 0.07y = 156
y = 300 + x
Step-by-step explanation:
Let x represent the total dollar amount of phone sales that she makes.
Let y represent the the total dollar amount of computer sales that she makes.
Josiah earns a 2% commission on the total dollar amount of all phone sales he makes, and earns a 7% commission on all computer sales. She earned a total of $156 in commission. This means that
0.02x + 0.07y = 156 - - - - - - - - - - -1
Josiah had $300 more in computer sales than in phone sales. This means that
y = 300 + x
Answer:
The equation will be:
Step-by-step explanation:
Given that at one station, gas costs $2.75 per gallon.
Let 'g' be the number of gallons of gas purchases
Let 'C' be the total cost
Thus, the expression for total cost can be generated by multiplying the price per gallon by the number of gallons.
Thus,
C = 2.75g
Therefore, the equation will be:
Answer: g(x) is the image of f(x)
Step-by-step explanation:
multiplying the x value by -1 means you reflect that point across y-axis, therefore, g(x) is the reflection of f(x) across y-axis.
Answer:
1,000
Step-by-step explanation:
The more rolls you make, the closer the experimental and theoretical probabilities get closer together
