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Zielflug [23.3K]
3 years ago
15

Prove the divisibility of the following numbers by 7

Mathematics
1 answer:
oee [108]3 years ago
3 0
5^5 mod 7 = 3
5^4 mod 7 = 2
5^3 mod 7 = 6

3 -2 +6 mod 7 = 0
Therefore, 5^5 -5^4 +5^3 mod 7 = 0 and that sum is divisible by 7.
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At the beach, 11% of people have white towels and 53% have blue towels. If
telo118 [61]

Answer:

36 percent.

Step-by-step explanation:

We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.

With this information, we can find the remaining percentage of people that have red towels.

Recall that the total percentage is always 100 percent.

lets make r for the percentage of people that have red towels.

You can solve it by changing it to fraction, decimal, or just keep it at percent.

I will show you all of the possible ways.

Percent:

11 percent plus 53 percent plus r =100 percent

combine the like terms, or add 11 plus 53 to simplify the equation.

You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.

100-64 is 36 percent.

r=36 percent of people who have red towels.

With fractions.

Write it as 11/100 plus 53/100 plus r/100= 100/100.

Combine the fractions.

64/100 plus r/100=100/100.

Subtract both sides by 64/100.

You are left with r=36/100, 9/25, or 36 percent.

With decimals.

11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.

53 percent is 0.53.

r is r.

100 percent is 1.

0.11 plus 0.53 plus r=100

Combine or add 0.53 and 0.11. That is 0.64.

Subtract both sides by 0.64.

You get r to be 0.36 or 36 percent.

I hope this helps, and I hope you have a good day!

8 0
3 years ago
Read 2 more answers
120 times 1.75 show your work plz help me I really dont get it
sineoko [7]
120 * 1.75 = 200

5 times 0 = 0

5 times 2 = 10 carry the 1

5 times 1 = 5 + 1 = 6

7 times 0 = 0

7 times 2 = 14 carry the 1...

7 times 1 = 7 + 1 = 8
1 times 0 = 0
1 times 2 = 2
1 times 1 = 1
add it all together and you get 200.
6 0
3 years ago
If 30 gallons of water weighs 249 pounds, what is the weight of 7 gallons of water in pounds?
gizmo_the_mogwai [7]

Answer: 58.1 pounds

Step-by-step explanation:

Use proportion to solve peroblem.

30:249=7:x

30x=249*7

x=249*7/30

x=58.1 pounds

6 0
3 years ago
A rancher has 300 feet of fencing to enclose a pasture bordered on one side by a river. the river side of the pasture needs no f
Mashcka [7]
I think your best answer is a pasture that is 75 feet by 150 feet, which will give you 11,250 sq ft of pasture
8 0
3 years ago
Complete the remainder of the table for the given function rule:
cluponka [151]

Answer:

(-2,4) , (0,5) , (2,6) , (4,7)

Step-by-step explanation:

you just substitute every value of x in the equation and you get y

8 0
2 years ago
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