6x(7 + 5x) Multiply/Distribute 6x into (7 + 5x). [multiply 6x to 7 and 5x]
6x(7) + 6x(5x)
42x + 30x²
Your answer is 30x² + 42x
Move the numbers with variables attached to one side, and the numbers to the other
x (-x) + 113 (-27) = 2x (-x) + 27 (-27)
2x - x = x
x = 113 (-27)
x = 86
hope this helps
Answer:
Step-by-step explanation:
let x = the number of pounds of cheaper coffee.
Since the merchant is mixing this with more expensive coffee, then
x + 60 = the number of pounds of medium priced mixed coffee.
The equation is gotten from this
+ =
(x)($40) + (60)($90) = (x + 60)($70) or
40x + 5400 = 70(x + 60)
Solve that equation and get x = 40
Answer: 40 pounds of $40 coffee.
i hope this helped
Answer:
$10,000
Step-by-step explanation:
Let x represent the amount invested in the 5.5% bond.
For an annual income of $1800, we want ...
(5.5%)x + (6.25%)(30,000-x) = 1800
(-0.75%)x + 1875 = 1800
-0.0075x = -75 . . . . . . . . . subtract 1875
x = 10,000 . . . . . . . . . . . . . divide by -0.0075
At most $10,000 should be invested at 5.5% to obtain at least $1800 in interest.
Step-by-step explanation:
QP = QR (given by congruent marks)
SP = SR (given by congruent marks)
US is the common side
All 3 sides of each triangle are congruent with the other triangle.
Hence by SSS congruence,
triangles QPS and QRS are congruent.