Answer:
Step-by-step explanation:
<u>Ratio of cookies to brownies:</u>
- 16 : 30 = simplify by reducing both numbers twice (the only common factor)
Answer:
j=4
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
C
im pretty sure...
that's the only one that makes sense because X has to be less than any of the other answers. from what i see from the diagram
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>
(x + 5) / (3x + 4) + (x + 4) / (x + 3)
[(x + 5)(x + 3) + (x + 4)(3x + 4)] / (3x + 4)(x + 3)
(x² + 8x + 15 + 3x² + 16x + 16) / (3x² + 13x + 12)
(4x² + 24x + 31) / (3x² + 13² + 12)
The first option is correct.
