Answer:
Step-by-step explanation:
From the first receipt:
2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:
2g + 4o = 10.70
From the second receipt:
3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:
3g + 2o = 9.65
Putting those together into a system and solving using the elimination method:
2g + 4o = 10.7
3g + 2o = 9.65
I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:
2g + 4o = 10.7
-6g - 4o = -19.3
As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:
-4g = -8.6 so
g = 2.15
Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:
2(2.15) + 4o = 10.7 and
4.3 + 4o = 10.7 and
4o = 6.4 so
o = 1.60
Oranges cost $1.60 per pound. That is choice D from your list.
Answer:
$ 12.09
Step-by-step explanation:
formula Y = KX
Where; y = $ 24.18
x = 2 books
k = constant of proportionality
Step 1. Do the equation based on the formula
Y = kx
$24.18 = k2
Step 2. Divide by 2
$24.18/2 = k2/2
k = $12.09 (answer)
Answer:
-The scale drawing represents a reduction
-each side of the original is 22 in long
-the scale drawing is proportional to the original
Step-by-step explanation:
Answer:
This season
Step-by-step explanation:
Lowest Common Multiple (LCM) of 20 and 25 = 100
10/20 * 5/5 = 50/100 = 5/10
15/25 * 4/4 = 60/100 = 6/10
5/10 < 6/10
