35. To find the number of gallons of gasoline used, we need to divide the number of miles traveled by the number of miles per gallon. In this case, we can let represent the number of gallons of gasoline used. We can then write the following equation to represent the situation:
27 miles/gallon * = 324 miles
To solve for , we need to divide both sides of the equation by 27 miles/gallon to get:
= 324 miles / 27 miles/gallon
This simplifies to:
= 12 gallons
36. To find the number of pounds of apples per hour, we need to divide the total number of pounds picked by the number of hours it took to pick them. In this case, we can divide 15,830 pounds by 8 hours to get:
15,830 pounds / 8 hours = 1,978.75 pounds/hour
Therefore, George Adrian picked about 1,978.75 pounds of apples per hour.
37. The equation m/5 = 50 can be used to describe how much money a quintet has to earn in order for each member to receive $50. In this equation, the variable m represents the total amount of money the quintet earns, and the number 5 represents the number of members in the quintet. The expression m/5 represents the amount of money that each member of the quintet receives, and the number 50 represents the target amount of money each member should receive.
The equation states that if the quintet earns a total of m dollars, then each member will receive m/5 dollars, which should be equal to 50 dollars. Therefore, this equation can be used to find the total amount of money the quintet needs to earn in order for each member to receive $50.
38. To estimate the solution of the equation 12x=-38, we can use the equation x=-38/12. This equation states that the solution of the given equation is equal to the negative of 38 divided by 12.
To estimate the solution, we can divide the negative of 38 by 12 to get:
x = -38/12 = -3.17
Therefore, the estimated solution is about -3.17. Note that this is just an estimate, and the exact solution may be slightly different.
Note: Please study hard in math.