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3 years ago

8. Logan divided 1,500 tickets equally among

Mathematics

2 answers:

777dan777 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

1,500 divided by 30 is 50

50 tickets per envelope

zhenek [66]3 years ago

3 0

The answer is 50................

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the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence

maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

$a_{n} = a_0 + (n-1)d$

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

$S_{n} = \frac{n(a_1+a_n)}{2}$

ai = ai-1 + 6

This means that $d = 6$

In this question:

Sum of the first 800 terms, so $n = 800$

First term is -53, so $a_1 = -53$

The 880th term is:

$a_{880} = -53 + (880-1)*6 = 5221$

Sum

$S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920$

The sum of the first 880 terms in the sequence is 2,273,920.

4 0

3 years ago

Iris has a piece of ribboninches long . 3x + 3/4; 2x + 1/2 Juliet has a piece of ribboninches long How many inches longer is Iri

tensa zangetsu [6.8K]

Answer:

x + 5/4

Step-by-step explanation:

8 0

3 years ago

Westkost [7]

Answer: a

Step-by-step explanation:

5 0

3 years ago

How do you divide fractions?

yaroslaw [1]

Answer:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

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