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
all correct except the pizza increase
increase from 500 to 575 = 75
so percentage increase = 5/500 = .15 or 15%
Your answers are mostly correct, but there is a small error in the estimation for the tip amount. Let's go through each question and calculate the correct answers:
1. The ratio of distances for a 7-iron to a 5-iron is 5 to 6. If a golfer averages 153 yards with a 7-iron, we can set up a proportion to find the average with a 5-iron:
(7-iron distance) / (5-iron distance) = 5/6
Let x be the average distance with a 5-iron:
153 / x = 5/6
Solving this proportion, we find:
x = (153 * 6) / 5 = 183.6
So the golfer should average 183.6 yards with a 5-iron.
2. The Scott family received a discount of $42, which is 7% of the total bill. Let's find the total bill before the discount:
Discount amount = Total bill * 7%
$42 = Total bill * 0.07
Dividing both sides by 0.07, we get:
Total bill = $42 / 0.07 = $600
So the total bill before the discount was $600.
3. The percent increase in sales of frozen pizza is calculated as:
Percent increase = [(new sales - old sales) / old sales] * 100
Using the given numbers, we have:
Percent increase = [(575 - 500) / 500] * 100 = 15%
So the percent increase in sales is 15%.
4. For the restaurant bill of $85.83, let's find the estimate and exact amount of a 15% tip:
Estimate of 15% tip: To estimate the tip, you can round the bill to the nearest whole number and then calculate 15% of that number. In this case, rounding $85.83 to the nearest whole number gives $86. The estimate of a 15% tip would be:
15% of $86 = (15/100) * 86 = $12.90
Exact amount of 15% tip: To find the exact amount, you can directly calculate 15% of the bill amount:
15% of $85.83 = (15/100) * 85.83 = $12.87
So the correct answers are:
- The golfer should average 183.6 yards with a 5-iron.
- The total bill before the discount was $600.
- The percent increase in sales of frozen pizza is 15%.
- The estimate of a 15% tip is $12.90 and the exact amount is $12.87.