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3 years ago

The sum of 5 consecutive integers is 110

Mathematics

1 answer:

nikdorinn [45]3 years ago

3 0

Answer:

Step-by-step explanation:

Let the five consecutive integers be (x - 2 ) , (x - 1) , (x) , (x + 1) , (x + 2)

(x - 2 ) + (x - 1) + (x) + (x + 1) + (x + 2) = 110

x - 2 + x -1 + x + x +1 + x + 2 = 110

5x = 110

x = 110/5

x = 22

The consecutive numbers are: 20,21,22,23,24

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The average of five unequal positive integers is 11. What is the largest possible value that any of those numbers can have?

Yuki888 [10]

Answer:

Step-by-step explanation:

The smallest ones can be 1, 2, 3, 4, so the largest will be ...

(1 + 2 + 3 + 4 + n)/5 = 11 . . . . the average of the 5 integers

10 + n = 55

n = 45

The largest one can be 45.

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4 years ago

Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

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4 years ago

How to write 111101 to base 2

Hoochie [10]

Answer:

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Step-by-step explanation:

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3 years ago

What is the total cost of a $44.55 meal at a restaurant after including a 17% tip? SHOW WORK!

mrs_skeptik [129]

You can solve this in 2 easy steps: 1, multiply 44.55 by .17 (44.55 * .17 = 7.57) then adding the number you get to 44.55 (44.55 + 7.57 = 52.12). Your answer is D.

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4 years ago

Read 2 more answers

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Marina86 [1]

Answer:

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Step-by-step explanation:

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3 years ago