To solve this equation and find the amount of Carrie's allowance, I used the following steps:
1. Combine like terms on the left side of the equation:
1/4a + 1/3a = 7/12a
2. Subtract 8 from both sides of the equation:
7/12a = 14
3. Multiply both sides of the equation by 12/7 to isolate the variable:
a = 24
Therefore, the amount of Carrie's allowance is $24.
Describe the steps you used to solve the equation and find the amount of Carrie’s allowance.
Linear equation:
1
4
a +
1
3
a + 8 = 22
7 answers
What is the first step in solving the equation Two-thirds x + one-third x + 2 = 5?
Subtract One-third from each side of the equation.
Add 2 to each side of the equation.
Combine like terms.
Multiply each side of the equation by 5.
Subtract One-third from each side of the equation.
Add 2 to each side of the equation.
Combine like terms.
Multiply each side of the equation by 5.
The first step in solving the equation Two-thirds x + one-third x + 2 = 5 is to combine like terms on the left side of the equation.
Two-thirds x and one-third x can be added together because they have a common denominator of three:
(2/3)x + (1/3)x = (3/3)x = x
Therefore, the equation becomes:
x + 2 = 5
Two-thirds x and one-third x can be added together because they have a common denominator of three:
(2/3)x + (1/3)x = (3/3)x = x
Therefore, the equation becomes:
x + 2 = 5
Which is the solution to the equation 3.5 (2 h + 4.5) = 57.75? Round to the nearest tenth if necessary.
6
7.6
8.9
10
6
7.6
8.9
10
To find the solution to the equation 3.5 (2 h + 4.5) = 57.75, we can follow these steps:
1. Simplify the expression inside the parentheses by multiplying 2h and 4.5 separately by 3.5:
3.5 (2h + 4.5) = 7h + 15.75
2. Substitute this simplified expression back into the original equation and solve for h:
3.5 (7h + 15.75) = 57.75
24.5h + 55.125 = 57.75
24.5h = 2.625
h = 2.625 / 24.5
h = 0.107 ± 0.003
Rounding to the nearest tenth, the solution is h = 0.1.
Therefore, the answer is 0.1.
1. Simplify the expression inside the parentheses by multiplying 2h and 4.5 separately by 3.5:
3.5 (2h + 4.5) = 7h + 15.75
2. Substitute this simplified expression back into the original equation and solve for h:
3.5 (7h + 15.75) = 57.75
24.5h + 55.125 = 57.75
24.5h = 2.625
h = 2.625 / 24.5
h = 0.107 ± 0.003
Rounding to the nearest tenth, the solution is h = 0.1.
Therefore, the answer is 0.1.
that is not the awnser
I apologize for any confusion. I made an error in my previous calculation.
To find the solution to the equation 3.5(2h + 4.5) = 57.75, we can follow these steps:
1. Multiply 3.5 by 2h and by 4.5:
7h + 15.75 = 57.75
2. Subtract 15.75 from both sides of the equation:
7h = 42
3. Divide both sides by 7:
h = 6
Rounding to the nearest tenth is not necessary in this case, so the solution is h = 6.
Therefore, the answer is 6.
To find the solution to the equation 3.5(2h + 4.5) = 57.75, we can follow these steps:
1. Multiply 3.5 by 2h and by 4.5:
7h + 15.75 = 57.75
2. Subtract 15.75 from both sides of the equation:
7h = 42
3. Divide both sides by 7:
h = 6
Rounding to the nearest tenth is not necessary in this case, so the solution is h = 6.
Therefore, the answer is 6.