I hope this helps you
Simplify: 18 - ⎷81 + 9 · 3⁴ - (3 - 2 + 9) ÷ 2
1 answer:
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These are 16 questions and 16 answers
Answer:
- See below and the attachment.
Explanation:
From 1 to 10, find the sale price to the nearest cent:
1. $239 television; 10% discount
2. $72 game; 20% discount
You can also multiply by the factor (1 - % discount);
For instance for 20% discount, the factor is 1 - 20% = 1 -0.20 = 0.80. Which means that you can multiply the original price by the factor 0.80 to get the sale price:
3. $18.95 football; 15% discount
4. $10.99 CD; 25% discount
5. $149 MP3 player; 40% discount
6. $213 ski jacket; 30% discount
7. $595 refrigerator; 20% discount
8. $64 video game; 25% discount
9. $119 croquet set; 50% discount
You should not have problems with this: 50% discount means that you will pay half the price.
Hence, the sale price is:
10. $14.99 clock; 10% discount
11. A radio is on sale for $50. If this price represents a 10% discount from the original price, what is the original price to the nearest nickel? Hint: need to use a proportion to find the whole.
First note that if the discount is 10%, the sale price is 100% - 10% = 90% of the original price.
Let's set the proportion that represents the proportionality between the two ratios, starting with the fact that $ is the 90% and original price is the 100% (the whole part):
- First ratio: $50/90
- Second ratio: x /100
- Proportion: first ratio = second ratio
- Solve for x:
Hence, the original price is $55.55
12. A box of laundry detergent is on sale for $6.50. If this price represents a 40% discount from the original price, what is the original price to the nearest cent?
Use the same hint used in the question above: set a proportion.
Remember a 40% discount means that the sale price is 60% of the original price:
13. Determine the price of a $35 basketball that is on sale for 50% off the regular price.
Again, 50% discount means that the sale price will be half of the original price, or the original price will be double of the sale price.
Here, the original price is $35, hence the sale price is $35/2 = $17.50
14. Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, what is the original price to the nearest cent?
Since the price is after a 30% discount, the sale price is a 70% of the original price, and you set the proportion:
Solve for x:
15. Michael bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. Sales tax of 3% is applied to the discounted total. What was the sale price with tax of Michael’s fishing rod to the nearest cent?
- First find the the sale price after the 15% discount:
- Now add the 3% tax:
Hence, the sale price with tax is $110.30
The last answer (# 16) is in the attached file, since this already exceeds the number of characters allowed.
