Answer:
Step 1: Simplify both sides of the equation.
−6(x−4)+4x=−2x+18
(−6)(x)+(−6)(−4)+4x=−2x+18(Distribute)
−6x+24+4x=−2x+18
(−6x+4x)+(24)=−2x+18(Combine Like Terms)
−2x+24=−2x+18
−2x+24=−2x+18
Step 2: Add 2x to both sides.
−2x+24+2x=−2x+18+2x
24=18
Step 3: Subtract 24 from both sides.
24−24=18−24
0=−6
Answer:
There are no solutions.
Let’s make x = # of nickels. Then 3x = # of dimes and 3x+6 = # of pennies. A nickel is 5 cents, a dime is 10 cents and a penny is 1 cent.
The money she has should be .05(x) + .10(3x) + .01(3x+6) = 4.62 or to make it simpler: 5(x) + 10(3x) + 1(3x+6) = 462.
5x + 30x + 3x + 6 = 462
38x + 6 = 462
38x = 456
x = 12.
So she has 12 nickels (12 * $0.05 = $0.60), 36 dimes (36 * $0.10 = $3.60) and 42 pennies (42 * $0.01 = $0.42). $3.60 + $0.60 + $0.42 = $4.62.
Answer:
To find the area of the rectangular prism, use the formula:
A = width x height x length
A = 2 x 2 x 3
A = 12
Now multiply A with 0.75
12 x 0.75 = 9
x = 9 in³
hope this helps
Step-by-step explanation: