Answer:
- 10 liters of orange juice
- 5 liters of champagne
Step-by-step explanation:
Let c represent the number of liters of champagne Lauren uses. Then (15-c) will be the number of liters of orange juice. The total cost of the mix will be ...
12c +1.50(15-c) = 5.00(15)
10.5c = 52.50 . . . . . subtract 22.50, simplify
52.50/10.5 = c = 5 . . . . divide by the coefficient of c
Then the amount of orange juice is ...
15 -c = 15 -5 = 10 . . . . liters
Lauren should use 5 liters of champagne and 10 liters of orange juice.
Please, do not post more than 1 or 2 questions at a time. Out of courtesy I will address one of your six questions here:
<span>2x + 4 = 3(x – 2) + 1
You are to solve this for x.
1) perform the multiplication: </span><span>2x + 4 = 3x - 6 + 1
2) combine like terms: 4+6-1 = x
3) solve for x: x = 11
4) check: Is 2(11) + 4 = 3(11-2) + 1 true?
Is 22+4 = 33-6 true? NO. Try again, looking for the mistake:
</span><span>2x + 4 = 3(x – 2) + 1 => 2x + 4 = 3x - 6 + 1
4 = x - 5
9 = x
Check: Is 2(9) + 4 = 3(9-2) + 1 true? Is 18+4 = 22 true? YES.
The solution to #1 is x = 9 (answer).
Submit your other questions separately, please.
</span>
Answer:
The volume of the carton is 5 1/3 cubic feet
Step-by-step explanation:
A carton has a length of 2 2/3 feet, width of 1 1/3 feet, and a height of 1 1/2.
The dimensions can be rewritten as
Length of carton =2 2/3 = 8/3 converting to improper fraction).
width of 1 1/3 feet = 4/3 feet
and a height of 1 1/2= 3/2 ,feet
volume of the carton = length of the carton × width of the carton × height of the carton
Volume of carton = 8/3 ×4/3 × 3/2
= 96/18 cubic feet
Converting to mixed fractions, we have
96/18= 5 1/3 cubic feet
Answer:
0.3
Step-by-step explanation:
1. break it down 25/75
2. the answer 1/3 not the real answer
3.turn decimal form
4. 0.3
(4,6), Using the midpoint formula which is (( x1 + x2)/2), ((y1+y2)/2)
