Answer:
y - 13 = 5(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Given y = 5x - 3 in slope- intercept form
with slope m = 5, then
m = 5 and (a, b) = (- 2, 13)
y - 13 = 5(x - (- 2)), that is
y - 13 = 5(x + 2) ← in point- slope form
120 barrels x 12 quarts per barrel = 1440 total quarts
1440 quarts / 11 quarts per hour = 130.91 hours to fill all the barrels
1 day = 24 hours
130.91 hours / 24 hours = 5.45 days = 5.5 days
Answer:
6 dozens
Step-by-step explanation:
Vanilla, v = x
Chocolate, c = 3x
Strawberry, s = 3 dozens = 36
Total cupcakes = 132
Hence,
x + 3x + 36 = 132
4x = 96
x = 96 / 4
x = 24
Chocolate = 3 * 24 = 72
Dozens of chocolate = 72 /12 = 6 dozens
9514 1404 393
Answer:
₹14000
Step-by-step explanation:
Let c represent the cost price, and m represent the marked price.
c × (1 +40%) = m
m × (1 -15%) - c = ₹1900
Using the first expression for m, the second equation becomes ...
1.40c×0.85 -c = ₹1900
0.19c = ₹1900
c = ₹1900/0.19 = ₹10000
Then the marked price was ...
m = 1.40c = 1.40×₹10000 = ₹14000
The marked price was ₹14000.
_____
The selling price was ₹11900.
3x - 5 = 2x is the equation
