MATHEMATICS HIGH SCHOOL

The sum of three consecutive even integers is 108. What is the largest number?a.34
b.35
c.37
d.38

Answers

Answer 1
Answer:

Answer:

The largest of three numbers  is 38.

Step-by-step explanation:

Given : The sum of three consecutive even integers is 108.

We have to find the largest of three consecutive even integer.

Consecutive integers are integer having a difference of one between each term . example 14 , 15, 16 ..

consecutive even integers are integers having a difference of two between them such that first term is in the form of 2n , where n is integers.

Consider the three consecutive even integers are 2n , 2n + 2 , 2n + 4

Also, given The sum of three consecutive even integers is 108.

that is 2n + 2n + 2 + 2n + 4 = 108

Simplify, we get,

6n + 6 = 108

Subtract 6 both side, we get,

6n = 102

Divide by 6 both side, we get,

n = 17

Thus, numbers are 2n = 2 × 17 = 34

2n + 2 = 34 + 2 = 36

2n + 4 = 34 + 4 = 38

Thus, The sum of three consecutive even integers is 108 then integers are 34, 36, 38 .

Thus, The largest of three numbers  is 38.

Answer 2
Answer:

Answer:

D is the answer

Step-by-step explanation:

took the test

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Estimating Sums of Single Digit NumbersWhich of the following represents the most accurate estimation of 4 + 8? is the answer 5, 10, 20 or 25

Answers

10
We can round 4 down to 0 since it is less than 5 and round 8 up to 10 since it is greater than 5. Giving:
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if julie ran 3.6 miles from home to the gym and then walked 0.7 miles to the store she then ran from the store home if her total distance covered after she returned from the store was 7.2 miles how far is it from the store to her home? write and simplify and expression that would represent the distance she covered.

Answers

So,

Home ---- gym = 3.6 mi.
gym   ---- store = .7 mi.
store ----- home = x

3.6 + .7 + x = 7.2 mi.

Collect Like Terms

4.3 + x = 7.2

Subtract 4.3 from both sides
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The distance from the store to her home is 2.9 miles.

Which system of inequalities is shown below in the graph

Answers

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There isn't a graph so i cant really answer

Round each number to the nearest hundredth. what is the best estimate for the answer to 434.657 102.494?

Answers

434.657,  hundredth digit is 5, after the 5 is 7, since the 7 is more than 5, we add 1 to the hundredth digit 5, to make it become 6.

434.657 ≈ 434.66   to the nearest hundreth.

102.494,  hundredth digit is 9, after the 9 is 4, since the 4 is less than 5, we the hundredth digit remains as 9.

102.494  ≈ 102.49  to the nearest hundreth.

Hope this helps.

Answer:

102.49 hope helps!!

Step-by-step explanation:

An equivalent fraction for 2/3 is
1. 2/6
2. 1/3
3. 8/15
4. 10/15

Answers

As the given and answers are all fractions, this is merely a trial-and-error method to simplify and see which answers are equivalent to the given fraction. So let us try with all them:

1.) 2/6 = 1/3 (X)
2.) 1/3 is already simplified and is not equivalent to 2/3. (X)
3.) 8/15 is already simplified and is not equivalent to 2/3. (X)
4.) 10/15 = 2/3 (by dividing 5 from both numerator and denominator)

Therefore, the correct answer is 10/15

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B) {cold sweats, congestion, memory loss}
C) {spasms, memory loss, appetite}
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Answers

A because it says congestion in it and B because it says congestion in it and it says what do they have in common.
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