1(Identifying):
Tomatoes-x--$3 per lb
Mushrooms- 1/3 x-- $10 per lb
Peaches- x+1-- $6 per lb
2(Equation):
3x+6(x+1)+1/3x*10=80
3x+6x+6+10/3 x=80
12 1/3 x= 74
x=74÷(12+1/3)
Step 3(Final Equations):
74*3/37=6=tomatoes
Meaning...
6+1=7=Peaches
6/3=2= mushrooms
Answer:
7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms
Answer:
54 gallons
Step-by-step explanation:
Let x represent the volume of the full tank.
When the water tank is 30% full;
= 30% of x = 0.30x
when it is 20% empty:
= x - 20% of x = x - 0.20x = 0.80x
The difference is given as 27.
So, we can represent the question on an equation as;
0.80x - 0.30x = 27
Solving the equation, we have;
0.50x = 27
x = 27/0.50
x = 54 gallons
The tank can hold 54 gallons when it is full.
Jed's bank account balance yesterday = -$26.34
Jed's account balance now = $42.18
So Jed's balance has recovered from a negative balance to a positive balance. Now it is required to find the amount of money jed deposited to reach this state.
Let us assume that money deposited by Jed = X
Then
X -26.34 = 42.18
X = 42.18 + 26.34
= 68.52
So Jed deposited $68.52 in his account.
Answer:
y= -1/2x-1
Step-by-step explanation:
1) put the equation in y-intercept form to find the slope of the original line 2x+4y=8
y=8/4-2x/4
y=2-1/2x
slope of second line will be -1/2
2) put point into the point-slope form (2,-2)
y-(-2)= -1/2(x-2) now simplify
y+2= -1/2x+2/2
y+2 = -1/2x + 1
y+2-2=-1/2x + 1 -2 ====>>>> y= -1/2x-1