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2 years ago

This is confusing please help

Mathematics

1 answer:

sladkih [1.3K]2 years ago

7 0

Step-by-step explanation:

Since we have a right triangle, we use the Pythagorean Theorem

${a}^{2} + {b}^{2} = {c}^{2}$

$c = \sqrt{ {a}^{2} + {b}^{2} }$

where a and b are the legs and c is the hypotenuse

Remember the legs are the sides that form that right angle, and the hypotenuse is the side opposite of the right angle.

So here the hypotenuse is 8, and one of the legs is 4. So we plug those values into the formula

$8 = \sqrt{ {b}^{2} + {4}^{2} }$

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3 years ago

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3 years ago

Read 2 more answers

What is the solution to this equation 6(x-4)+7=-5

sweet [91]

Answer:

X= 2

Step-by-step explanation:

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3 years ago

1. $239 television; 10% discount 2. $72 game; 20% discount

Fiesta28 [93]

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

$Sale\text{ }price=Orignal\text{ }price-discount\\ \\ Sale\text{ }price=\$239-10\%\times \$239=\\\\ Sale\text{ }price=\$239-0.10\times \$239=\\\\ Sale\text{ }price=\$239-\$23.9=\$215.10$

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:

$Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$72\times(1-0.20)=\\\\ Sale\text{ }price=\$72\times0.80=\\\\ Sale\text{ }price=\$57.60$

3. $18.95 football; 15% discount

$Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$18.95\times(1-0.15)=\\\\ Sale\text{ }price=\$18.95\times0.85=\\\\ Sale\text{ }price=\$16.11$

4. $10.99 CD; 25% discount

$Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$10.99\times(1-0.25)=\\\\ Sale\text{ }price=\$10.99\times0.75=\\\\ Sale\text{ }price=\$8.24$

5. $149 MP3 player; 40% discount

$Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$149\times(1-0.40)=\\\\ Sale\text{ }price=\$149\times0.60=\\\\ Sale\text{ }price=\$89.40$

6. $213 ski jacket; 30% discount

$Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$213\times(1-0.30)=\\\\ Sale\text{ }price=\$213\times0.70=\\\\ Sale\text{ }price=\$149.10$

7. $595 refrigerator; 20% discount

$Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$595\times(1-0.20)=\\\\ Sale\text{ }price=\$595\times0.80=\\\\ Sale\text{ }price=\$476.00$

8. $64 video game; 25% discount

$Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$64\times(1-0.25)=\\\\ Sale\text{ }price=\$64\times0.75=\\\\ Sale\text{ }price=\$48.00$

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:

$Sale\text{ }price=Orignal\text{ }price/2 \\\\ Sale\text{ }price=\$59.50$

10. $14.99 clock; 10% discount

$Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$14.99\times(1-0.10)=\\\\ Sale\text{ }price=\$14.99\times0.90=\\\\ Sale\text{ }price=\$13.49$

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

$\$50/90=x/100$

Solve for x:

$x=100\times\$50/90=\$55.55$

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:

$\$6.50/60=x/100\\ \\ x=100\times\$6.50/60=\$10.83$

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:

$\$18.75/70=x/100$

Solve for x:

$x=100\times\$18.75/70=\$26.79$

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:

$\$125.99\times(1-0.15)=\$125.99\times0.85=\$107.09$

Now add the 3% tax:

$\$107.09\times1.03=\$110.30$

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.

7 0

4 years ago