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3 years ago

What is a number that goes into 68 and 51

Mathematics

1 answer:

kari74 [83]3 years ago

8 0

17 goes into 68 four times and goes into 51 three times.

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Prove the divisibility of the following numbers:

yan [13]

$8^{10}-8^9-8^8=8^8(8^2-8-1)=8^8(55)$

$81^7-27^9-9^{13}=3^{28}-3^{27}-3^{26}=3^{26}(3^2-3-1)=3^{26}(5)=3^{24}(45)$

8 0

3 years ago

Directions: Compare the sides and angles by filling in the blank with a < or > symbol.

eduard

Answer:

Number 21 is < number 23 is > number 22 is < and number 24 is >

Step-by-step explanation:

7 0

2 years ago

Solve the equation.

lawyer [7]

Answer:

x=12
x=9

Step-by-step explanation:

1) Eliminate parentheses:

0.1x +18.8 = -4 +2x

22.8 = 1.9x . . . . . . . . . add 4 - 0.1x

12 = x . . . . . . . . . . . . . divide by 1.9

2) Eliminate parentheses:

-16 +4x = 0.8x +12.8

3.2x = 28.8 . . . . . . . . add 16 - 0.8x

x = 9 . . . . . . . . . . . . . .divide by 3.2

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<em>Comments on the solutions</em>

The expression we add in each case eliminates the constant on one side of the equation and the variable term on the other side. That leaves an equation of the form ...

variable term = constant

We choose to eliminate the smaller variable term (the one with the coefficient farthest to the left on the number line). Then the constant we eliminate is the on on the other side of the equation. This choice ensures that the remaining variable term has a positive coefficient, tending to reduce errors.

You can work these problems by methods that eliminate fractions. Here, the fractions are decimal values, so are not that difficult to deal with. In any event, it is good to be able to work with numbers in any form: fractions, decimals, integers. It can save some steps.

7 0

3 years ago

Circle V is shown. Line segment T V is a radius with length 14 feet.

lawyer [7]

We have been given graph of circle V with radius 14 feet. We are asked to find the area of the circle V.

We will use area of circle formula to solve our given problem.

$A=\pi r^2$ , where r represents radius of circle.

Upon substituting $r=\text{14 ft}$ in above formula, we will get:

$A=\pi(14\text{ ft})^2$

$A=\pi(14)^2\text{ ft}^2$

$A=\pi\cdot 196\text{ ft}^2$

$A=196\pi\text{ ft}^2$

Therefore, the area of the circle V is $196\pi$ square feet and option 'c' is the correct choice.

5 0

3 years ago

A travel agent is booking a trip to England, Scotland, Ireland, and France for a group of senior citizens. The agent sent survey

elixir [45]

Answer: 1

Scotland

Step-by-step explanation:

In the first vote, points are:

France = 15

England = 12 + 16 = 28

Ireland = 19

2nd vote

England = 15

Scotland = 12 + 19 = 31

Ireland = 16

3rd vote

Scotland = 15 + 16 = 31

Ireland = 12

England = 19

4th vote

Ireland = 15

France = 12 + 16 + 19 = 47

At the end of everything

England = 19 + 15 + 28 = 62

France = 15 + 47 = 62

Scotland = 31 + 31 = 62

Ireland = 19 + 16 + 12 + 15 = 62

To find the Condorcet winner, the number of votes for runner over opponent (runner,opponent) is compared with the number of votes for opponent over runner (opponent,runner)

Only Scotland has the highest (31) points twice.

6 0

3 years ago