To solve the equation \( 5m - 7 = 3 \), you can follow these steps:
-
Add 7 to both sides of the equation: \[ 5m - 7 + 7 = 3 + 7 \] \[ 5m = 10 \]
-
Divide both sides by 5: \[ m = \frac{10}{5} \] \[ m = 2 \]
So, the value of \( m \) is \( 2 \).
9 answers
To solve the equation \( 5m - 7 = 3 \), you can follow these steps:
Add 7 to both sides of the equation: \[ 5m - 7 + 7 = 3 + 7 \] \[ 5m = 10 \]
Divide both sides by 5: \[ m = \frac{10}{5} \] \[ m = 2 \]
So, the value of \( m \) is \( 2 \).
To find out how many books \( b \) Sarah can buy with her savings of $60, we need to set up an equation based on the cost of the books. Each book costs $15, and she has $60 saved.
We can express this situation with the equation:
\[ 15b = 60 \]
This means that the total cost of \( b \) books at $15 each should equal her total savings of $60.
So the correct choice from the options provided is:
D) \( 15b = 60 \)
Now, to find the number of books Sarah can buy, we can solve for \( b \):
Thus, Sarah can purchase 4 books.
The correct choice is:
D) \( 15b = 60 \)
To find the regular cost per month \( m \) for Spencer's gym membership, we need to account for the total cost he paid after applying the one-time discount.
Spencer prepaid for 12 months, which would normally cost \( 12m \) (where \( m \) is the regular monthly cost). Since he received a discount of $35, the equation would be:
\[ 12m - 35 = 205 \]
This represents the total regular cost for 12 months minus the discount equaling the total amount he actually paid.
Therefore, the correct choice is:
A) \( 12m - 35 = 205 \).
To solve the equation \( \frac{2}{3}n - 6 = -8 \), follow these steps:
Add 6 to both sides to isolate the term with \( n \): \[ \frac{2}{3}n - 6 + 6 = -8 + 6 \] \[ \frac{2}{3}n = -2 \]
Multiply both sides by the reciprocal of \( \frac{2}{3} \) (which is \( \frac{3}{2} \)) to solve for \( n \): \[ n = -2 \times \frac{3}{2} \] \[ n = -3 \]
So, the solution is \( n = -3 \).