Answer:
A. -4
Step-by-step explanation:
J= Jake's Number
A= Amy's Number
2j = 3j+2
-j = 2
j = -2
check: 2(-2) = 3(-2)+2
-4 = -6+2
-4 = -4 (correct)
Jake's number is -2. Amy's is -4
Answer:
2a +2b +4
Step-by-step explanation:
The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...
(3a +8) +(5a +b) +x = (10a +3b +12)
Subtracting from the equation everything on the left side that is not x, we get ...
x = (10a +3b +12) -(3a +8) -(5a +b)
= a(10 -3 -5) +b(3 -1) +(12 -8)
= 2a +2b +4
The length of the third side is 2a +2b +4.
Answer: 1/2
Step-by-step explanation:
The question is for us to calculate the amount of juice that's left.
We are told that Luna mixes 3/4 of orange juice and 3/8 of cranberry juice. The amount of juice mixed will be:
= 3/4 + 3/8
= 6/8 + 3/8
= 9/8
= 1 1/8
We are then told that she gave Mags 5/8 cup of juice. The amount of juice that's then left will be:
= 1 1/8 - 5/8
= 4/8
= 1/2
1/2 cup of juice will be left
<h3>Answer:</h3>
2.4 potatoes/pound
<h3>Explanation:</h3>
The unit rate is the slope of the line. The slope of the line is ...
... (change in y-value)/(change in x-value)
... = (36 potatoes - 12 potatoes)/(15 pounds - 5 pounds)
... = (24 potatoes)/(10 pounds)
... = 2.4 potatoes/pound
_____
The relationship here is proportional, so the line goes through the point (0, 0) and the unit rate can be figured from any point:
... (12 potates)/(5 pounds) = (24 potatoes)/(10 pounds) = (36 potatoes)/(15 pounds) = 2.4 potatoes/pound
Replace x with -2 in the equation and solve.
3(-2) +1 = -6 + 1 = -5
