Answer:
x=0
Step-by-step explanation:
(1): "^-2" was replaced by "^(-2)".
rearrange the equation: x/81^(-2)/729^1-x-(9^2*x)=0
STEP
1
:
1.1 9 = 32
(9)2 = (32)2 = 34
Equation at the end of step
1
:
x
(—————— ÷ (7291)-x)-(34•x) = 0
(81-2)
STEP
2
:
2.1 729 = 36
(729)1 = (36)1 = 36
Equation at the end of step
2
:
x
(—————— ÷ 36 - x) - 34x = 0
(81-2)
STEP
3
:
3.1 81 = 34
(81)-2 = (34)(-2) = (3)(-8)
Equation at the end of step
3
:
x
(——————— ÷ 36 - x) - 34x = 0
(3)(-8)
STEP
4
:
1
Divide x by ——
38
Equation at the end of step
4
:
38x
(——— - x) - 34x = 0
36
STEP
5
:
38x
Simplify ———
36
Dividing exponents:
5.1 38 divided by 36 = 3(8 - 6) = 32
Equation at the end of step
5
:
(9x - x) - 34x = 0
STEP
6
:
Equation at the end of step 6
-73x = 0
STEP
7
:
Solving a Single Variable Equation:
7.1 Solve : -73x = 0
Multiply both sides of the equation by (-1) : 73x = 0
Divide both sides of the equation by 73:
x = 0
One solution was found :
x=0
In first 40 hours he earns = 7.30 x 40 = $292
Each hour after his rate = 7.20 x 1.5 = $10.80 per hour
In extra four hours he earns = 10.80 x 4 = $43.20
Total earnings = $292 + $43.20 = $335.20
Therefore you don't agree
Answer:
9.5 gallons
Step-by-step explanation:
Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of
cocktail fruits to make a fruit punch.
Each carton of juice is 1 gallon and 3 quarts.
Therefore, 2 cartons will be:
2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts
1 quart = 0.25 gallon
6 quarts = 6 * 0.25 = 1.5 gallons
Therefore, Josh poured 3.5 gallons of orange juice.
Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.
Therefore, the number of gallons that the soda water bottle contains is:
3 * 6 * 0.25 = 4.5 gallons
The cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.
1 pint = 0.125 gallon
2 pints = 0.25 gallons
=> 6 cans of cocktail fruit is:
6 * 0.25 = 1.5 gallons
The amount of fruit punch that Josh made is the sum of all components:
3.5 + 4.5 + 1.5 = 9.5 gallons
