Answer:
28
Step-by-step explanation:
1) subtract 12 from both sides
2) divide by negative 1
Number of nickels plus number of dimes equals total number of coins
so
n + d = 40
then they tell us that "there are seven times as many dimes as there are nickels"
this translates to
d = 7n
we then plug that into our first equation
and get
n + 7n = 40
then we solve for n
add like terms
8n = 40
then divide both sides by 8
n = 40/8 = 5
therefore Jimmy has 5 nickels
Equation 1) 4x + 2y = 8
Equation 2) 16x - y = 14
Multiply all of equation 2 by 2.
2) 2(16x - y = 14)
2) 32x - 2y = 28
1) 4x + 2y = 8
Add equations together.
36x = 36
Divide both sides by 36.
x = 1
Plug in 1 for x in the first equation.
4x + 2y = 8
4(1) + 2y = 8
4 + 2y = 8
Subtract 4 from both sides.
2y = 8 - 4
2y = 4
Divide both sides by 2.
y = 4/2
y = 2
So, x = 1, y = 2
~Hope I helped!~
Answer:
(12,12)
Step-by-step explanation:
For the x coordinate you add 4 to 8, and get 12.
For the y coordinate you subtract 8 from 20 to get 12.
So it would read (x + 4, y -8) -> (12,12)
$21.21 × 6 = $127.26
$127.26 ÷ 7 = $18.18 cost of 1 pillow at Jenson's.
You multiply the cost of the pillow at Harrison's, $21.21, by the amount of pillows you can buy at Harrison's, 6.
Then divide the answer by the amount of pillows you can buy at Jenson's, 7. The final answer is the cost of 1 pillow at Jenson's.