Answer:
$15000
Step-by-step explanation:
We have that the value of the truck is $ 3000 and that this payment is equivalent to 20% of the value of a new truck, therefore the value of the new truck would be:
% of value value
20 3000
100 x
x = 100 * 3000/20
x = 15000
therefore the value of the new truck is $ 15000
Gretchen bought 7/18 more rice than flour.
X + y = 22,102
.11x = .07y + 913.46 = x= (7/11)y + 8304.18
((7/11)y + 8304.18) + y = 22,102
(18/11)y = <span>13797.82
</span>
y= 13797.82/(18/11)
y=8432.00
8,432.00 dollars are invested at 7%
13,670.00 dollars are invested at 11%
Check
.07 x 8432= 590.24
.11 x 13,670 = 1503.70
1503.70 - 590.24 = 913.46
Answer:
I believe that it would be y=$0,25x+$5
Step-by-step explanation:
The initial cost to get into the arcade is $5 so that would be the y-intercept (b) in a slope equation (y=mx+b). Since each game costs $0,25, then that would be the slope (m) and x would be the number of games she played. y would equal the total amount of money spent. So if she played 10 games, substitute 10 for x and multiply by 0,25 and take the answer and add 5 to get the total amount.
There's only one system of equations here.
Let's eliminate x first,
x - y + z = -1
x = -1 + y - z
Substituting into x + y + 3z = -3 gives
(-1 + y - z) + y + 3z = -3
2y + 2z = -2
y + z = -1
Substituting for x into 2x-y+2z = 0 gives
2(-1 + y - z) - y + 2z = 0
-2 + 2y - 2z - y + 2z = 0
y = 2
Got lucky on that one.
z = -1 - y = -1 - 2 = -3
x = -1 + y - z = -1 + 2 - -3 = 4
Answer: x=4, y=2, z= -3
Check:
x-y+z = 4 - 2 + -3 = -1, good
x+y+3x = 4+2+3(-3) = -3, good
2x-y+2x = 2(4)-2+2(-3) = 0, good
