Answer:
x = 4
Step-by-step explanation:
6x - 8 = 16
Add 8 to both sides.
6x = 24
Divide both sides by 6.
x = 4
Remember PEMDAS, you have to simplify the exponent first.
Answer:
Expression: 48x + 120y & Area = 1,008 square feet
Step-by-step explanation:
12(4x + 10y)
multiple the 12 into 4x + 10y
12 x 4x = 48x
12 x 10y = 120y
48x + 120y
x = 6 ft
y = 4 ft
Substitite in numbers
48x + 120y
48(6) + 120(6)
Multiply
288 + 720
Add
288 + 720 = 1,008 square feet
Answer:
7/18
Step-by-step explanation:
21 out of 54 = 21/54 = 7/18
Remark
She starts out with x
She spends 10 dollars paying back her brother (that's - 10)
She spends 30 dollars on fuel (that - 30)
She spends 1/2 what's left on a tent ( that's 1/2 (x - 10 - 30) )
She then spent 29.45 on running shoes. 1/2 (x - 10 - 30) + 29.45 is her expenditures.
After all that she has 17.75 left.
Equation
x - 10 - 30 - 1/2(x - 10 - 30) - 29.45 = 17.75
Solve
Begin by adding 29.95 to both sides.
x - 10 - 30 - 1/2(x - 10 - 30) = 17.75 + 29.45
x -10 - 30 - 1/2(x - 10 - 30) = 47.20 Add the like terms on the left.
x - 40 - 1/2(x - 40) = 47.20 Add 40 to both sides. Don't go inside the brackets.
x - 1/2x + 1/2 (40) = 87.20
1/2 x + 20 = 87.20 Subtract 20 from both sides.
1/2 x = 67.20 Multiply by 2
x = 134.40
