Answer:
y = -2/3 + 18
Step-by-step explanation:
2x + 3y = 18 ----- here is the equation...
-2x - 2x ----- bring the 2x to the other side
3y = -2x + 18 ----- now you have to divide everything by 3 to get y by itself
y = -2/3 + 18 ----- Done!
Answer:
20 Bicycles
Step-by-step explanation:
The function for the average cost,C(x) [in hundred of dollars] per bicycle whenever x hundred bicycles are built is given as:
The minimum value of C occurs at the axis of symmetry.
Axis of Symmetry, 
Comparing with the standard form of a quadratic equation 
a=0.5, b=-0.2
x=0.2 Hundreds =0.2 X 100 =20
When Aki's Bicycle Designs produces 20 Bicycles, the cost is minimized.
Step-by-step explanation:
The equation that represents the perimeter of the rectangle is given as;
2x + 2(x + 2) = 24 where x represents the width.
We solve for x;
2x + 2x + 4 = 24
4x + 4 = 24
4x = 24 - 4
4x = 20
x = 20/4
x = 5
We were informed that the length of the rectangle is 2 inches more than its width. This implies that the length is x+2 = 5+2 = 7.
The value of x from the set {1, 3, 5, 7} that holds true for the equation is 5. So, the width of the rectangle is 5 inches and its length is 7 inches.
Answer:
0.143059
Step-by-step explanation:
Answer:
<u>The price of oranges is US$ 2 per pound and the price of bananas is US$ 1 per pound.</u>
Step-by-step explanation:
1. Bananas and oranges bought by Nancy:
Oranges = 7 pounds
Bananas = 3 pounds
Cost = US$ 17
2. Bananas and oranges bought by Nancy's husband:
Oranges = 3 pounds or 3x
Bananas = 6 pounds or 6y
Cost = US$ 12
3x + 6y = 12 (Dividing by 3 at both sides of the equation)
x + 2y = 4
x = 4 - 2y
3. Total Purchases:
Oranges = 10 pounds or 10x
Bananas = 9 pounds or 9y
Cost = US$ 29
10x + 9y = 29
10 (4 - 2y) + 9y = 29 (Replacing x with 4 - 2y from 2nd purchase)
40 - 20y +9y = 29
-11y = 29 - 40
- 11y = - 11
y = 1 (Dividing by -11 at both sides)
<u>Pound of bananas = US$ 1</u>
10x + 9 (1) = 29 (Replacing y by 1 in the original formula)
10x + 9 = 29
10x = 20
x = 2 (Dividing by 10 at both sides)
<u>Pound of oranges = US$ 2</u>
