1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ikadub [295]
3 years ago
9

Find the largest prime divisor of 76^2 − 1.

Mathematics
1 answer:
saveliy_v [14]3 years ago
3 0

Answer:

11

Step-by-step explanation:

This is a difference of squares and therefore can be written as (76-1)(76+1)=(75)(77).

So lets look at the factors....

75=3(25)=3(5)(5)

77=7(11)

The biggest prime factor is therefore 11.

Identities used:

Difference of squares a^2-b^2=(a-b)(a+b)

You might be interested in
Need help filling in the blanks
Xelga [282]

Answer:

1. $2,520.00

2. 0.0%

3. 3%

4. $661.5

5. $727.00

6. $1,736.96

8. $3,250.00

10. 2%

Step-by-step explanation:

1.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 2.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 2.0% or 0.02

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.02

r = 0.98

Now that we have r we divide the discounted price by r.

Original price = 2,469.60 / 0.98

Original price = $2,520.00

2.

Pretty straight forward as the Original price and the Discounted are the same. So there is no discount.

r = 0.0%

3.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$850 - $824.50 = $25.50

Now that we have the decrease we can find the rate by using this formula:

r = \dfrac{Decrease}{Original Price}*100

r = \dfrac{25.50}{850}*100

r = 0.03*100

r = 3%

4.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

Discounted Price=OriginalPrice-(OriginalPrice*Rate)

Discounted Price=675-(675*0.02)

Discounted Price=675-13.5

Discounted Price=$661.5

5.

Since the %off is 0.0% then the discounted price is equal to the original price.

$727.00

7.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

Discounted Price=OriginalPrice-(OriginalPrice*Rate)

Discounted Price=1,888-(1,888*0.08)

Discounted Price=1,888-151.04

Discounted Price=$1736.96

8.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 3.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 3.0% or 0.03

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.03

r = 0.97

Now that we have r we divide the discounted price by r.

Original price = 3,152.50 / 0.97

Original price = $3,250.00

10.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$4,567.00 - $4,475.66 = $91.34

Now that we have the decrease we can find the rate by using this formula:

r = \dfrac{Decrease}{Original Price}*100

r = \dfrac{91.34}{4567}*100

r = 0.02*100

r = 2%

7 0
3 years ago
Find the coordinates of the vertices of each figure after the given transformation.
zhannawk [14.2K]

Answer:

uhm sorry this is really hard maybe answer 2

Step-by-step explanation:

7 0
3 years ago
Marcus completed 187 jumping jacks in 3 days. He completed 60 jumping jacks on each of the first 2 days, and y number of jumping
grandymaker [24]
B..................................................

8 0
3 years ago
Read 2 more answers
I NEED HELP ASAP!!!!
Degger [83]
I hope this helps you!

4 0
3 years ago
What is the mean, median, mode, and range from this data?
Zinaida [17]

Answer: The mean is 4, median is 4, no mode, range is 4

Step-by-step explanation:

<u>mode</u> is adding all the numbers and subtracting by the total amount of whole numbers

<u>median</u> is putting the numbers in a line ex.( 2, 6, 4, 5, 3) and crossing out left to right until theres one number left

<u>mode</u> is which ever number is repeated the most

<u>range</u> is the biggest number subtracted by the smallest number

7 0
3 years ago
Other questions:
  • noel needs 1/3 cup of butter for one loaf.she will make 8 loaves. how many cup de butter will she need?
    9·1 answer
  • PLEASE DONT GUESS, Thank you
    15·2 answers
  • A dialonal cross section of a sphere produces which two dimesional shape?
    10·1 answer
  • An ant moves 30.1 mm in 72 seconds. What's the ant's average speed
    6·1 answer
  • Look at the equation below.
    7·1 answer
  • How do you solve this?
    6·1 answer
  • How many dollars is 52 thousand pennies?
    13·2 answers
  • Write the sentence as a proportion: 4 wins in 7 games is the same as 116 wins in 203 games.
    7·1 answer
  • Graph the following log function and describe the key characteristics (Domain, range, asymptote, shifts, intercepts): f(x) = log
    10·1 answer
  • How is the best foot baller​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!