The ratio of the distances a 7-iron and a 5-iron will drive a golf ball is 5 to 6. If a golfer averages 153 yards with a 7-iron how far should he average with a 5-iron Express your answer as an integer or mixed number.
183.6
The appliance store where the Scott family shops offers a 7% discount for paying cash. The Scott family received a discount of $42. What was their total bill before the discount
$600
Sales of frozen pizza for a club fund-raiser increased from 500 one year to 575 the next year. What was the percent of increase?
75%
For the restaurant bill, estimate the tip. Then find the exact amount of the tip. State your answers to the nearest hundredth.
The restaurant bill is $85.83. Give the estimate of a 15% tip and the exact amount of a 15% tip.
12.90 for estimate and 12.87 for exact
please check my answers
Although the amount is correct, 183.6 is decimal rather than mixed number.
Total bill is correct.
75 is only 15% of 500. An increase of 375 would be 75% of 500.
Tip is correct.
Your answers are mostly correct, but there is one mistake:
- The estimate for a 15% tip on a restaurant bill of $85.83 would be $12.88 (not $12.90).
Here are the correct answers for the given questions:
1. The golfer's average distance with a 5-iron can be calculated using the ratio given. Since the ratio of distances is 5:6, we can set up the proportion: 7/5 = 153/x. Solving for x, we get:
x = (153 * 5) / 7 = 765 / 7 = 109.29
Therefore, the golfer should average approximately 109 yards with a 5-iron.
2. To find the total bill before the discount, we need to reverse the 7% discount. Let's call the total bill "B". 7% of B is equal to $42, so we can set up the equation:
0.07 * B = $42
Solving for B, we get:
B = $42 / 0.07 = $600
Therefore, their total bill before the discount was $600.
3. To find the percent of increase in sales, we need to calculate the difference between the two years and then divide it by the initial amount (500) and multiply by 100.
Difference = 575 - 500 = 75
Percent increase = (difference / initial amount) * 100 = (75 / 500) * 100 = 15%
Therefore, the percent of increase in sales is 15%.
4. The estimate for a 15% tip on a restaurant bill of $85.83 would be approximately 15% of the total bill. To calculate this, we can multiply the bill by 0.15:
Estimate = $85.83 * 0.15 = $12.87 (rounded to the nearest hundredth)
The exact amount of a 15% tip can be calculated in the same way:
Exact amount = $85.83 * 0.15 = $12.87
Therefore, both the estimate and the exact amount of a 15% tip on the restaurant bill are $12.87.