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3 years ago

The greatest common factor of 24,40 and 56

1 answer:

7 0

The factors of 24 are 1,2,3,4,6,8,12, and 24. The factors of 40 are 1,2,4,5,8,10,20, and 40. The factors of 56 are 1,2,4,7,8,14,28, and 56. 24÷8=3. 40÷8=5. 56÷8=7. Therefore, the GCF of 24,40, and 56 is $\boxed{8}$

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Please please please help!! i need this asap and i have no where else to go!

nadezda [96]

1   1   1       2
2 -3   1 -11 -2R1 + R2 → R2
-1 2 -1 8 R1 + R3 → R3

1 1 1 2
0 -5 -1   -15    R2 ⇔ R3
0 3 0    10

1 1 1 2
0 3 0     10    -R3
0   -5   -1 -15

1 1 1 2
0 3 0     10    1/3 R2
0    5    1    15

1 1 1 2    -R2 + R1
0 1 0     10/3    -5R2 + R3
0    5    1    15

1 0 1 -4/3
0 1 0     10/3    -R3 + R1
0    0    1     -5/3

1 0 0    1/3
0 1 0     10/3
0    0    1     -5/3

Therefore, x = 1/3, y = 10/3, z = -5/3

7 0

3 years ago

Read 2 more answers

Suppose you deposit $5,000 in a savings account that earns 3% annual interest. If you make no other withdrawals or deposits, how

Flura [38]

Taking into consideration that the interest is compound (yearly)
the amount of money gather through the years can be calculated by

A = P (1+r)^(t)
6000 = 5000 (1.03)^t

t = ln(6000/5000)/ln(1.03) = 6.16 ≈ 7

c. 7 years

8 0

3 years ago

Read 2 more answers

The population of a certain country is approximated by the following equation, where x is the number of years since 1980 and P i

marissa [1.9K]

Answer:

In 2010 the population become 206,123,000.

Step-by-step explanation:

Consider the provided equation.

$P=2.748x + 126.199$

Where P represents the population in millions.

We need to determine the year in which the country had population of 206,123,000.

As P is in millions so divide 206,123,000 by one million.

$\frac{206,123,000 }{1,000,000}= 206.123$

Substitute P = 206.123 in above equation.

$206.123=2.748x + 126.199$

$79.924=2.748x$

$x=\frac{79.924}{2.748}$

$x=29.08$

30 year from 1980 the population become 206,123,000.

In 2010 the population become 206,123,000.

6 0

2 years ago

5a/5a+5 x 10a +10/10

DIA [1.3K]

Answer: 50a+2

Step-by-step explanation:

1. Simplify 5a5a\5a5a to 1.

1+5×10a+10

2.Simplify 5×10a to 50a.

1+50a+10

3.Cancel 10.

1+50a+1

4. Collect like terms.

50a+(1+1)

5. Simplify.

50a+2

6 0

3 years ago

Read 2 more answers

George cut a cake into eight pieces. Explain what the unit fraction of the cake is.

morpeh [17]

Answer:

1/8th

Step-by-step explanation: A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n. Examples are 1/1, 1/2, 1/3, 1/4 ,1/5, etc. so in this case the cake is eight slices so 1/8

6 0

3 years ago