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zhannawk [14.2K]
3 years ago
13

The sum of three consecutive integers is 345. find the three integers.

Mathematics
2 answers:
Yanka [14]3 years ago
5 0
X - 1 + x + x + 1 = 345
Consecutive means that each member differs by one. Put another way you add one to the previous number to get the next number.

3x = 345
x = 115
x - 1 = 114
x + 1 = 116
Ksenya-84 [330]3 years ago
4 0

Our three consecutive integers can be represented as

X ← <em>first integer</em>

X + 1 ← <em>second integer</em>

X + 2 ← <em>third integer</em>

Since the sum of our three consecutive integers is 345, our equation will read

X + X + 1 + X + 2 = 345

When we simplify on the left, our equation will now read

3x + 3 = 345

      -3      -3  ← subtract 3 on both sides

      3x = 342 ← divide both sides by 3

        X = 114

first integer = 114

second integer = 114 + 1 = 115

third integer = 114 + 2 = 116

Therefore, the three consecutive integers are 114, 115, and 116.

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storchak [24]

Answer:

Null Hypothesis, H_0 : \mu \leq 120 grams

Alternate Hypothesis, H_A : \mu > 120 grams

Step-by-step explanation:

We are given that researchers captured brown tree snakes on Guam's Andersen Air Force Base, and a random sample of 250 of these snakes were weighed.

The researchers want to perform a hypothesis test to see if the mean weight of a brown tree snake in Guam is significantly greater than 120 grams.

<u><em>Let </em></u>\mu<u><em> = mean weight of a brown tree snake in Guam.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 120 grams

Alternate Hypothesis, H_A : \mu > 120 grams

Here, <u>null hypothesis states that</u> the mean weight of a brown tree snake in Guam is smaller than or equal to 120 grams.

On the other hand, <u>alternate hypothesis states that</u> the mean weight of a brown tree snake in Guam is significantly greater than 120 grams.

So, this would be the appropriate null and the alternative hypothesis to test this claim.

8 0
3 years ago
2. What is the slope in this equation? y =2x +1<br> y<br> 2<br> х<br> 1
Neporo4naja [7]

Answer:

the slope equals 2. otherwise known as the coefficient of x.

5 0
3 years ago
Richard walks every day for exercise at a rate of 1 kilometer every 12 min. At this rate ,how many meters can Richard walk in a
garik1379 [7]
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3 0
3 years ago
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How long will it take a $2 000 investment to earn $544 in interest at a 1.7 interest rate
lozanna [386]

Answer:

16 years

Step-by-step explanation:

1.7% of 2000 is $34

$544 divided by $34 = 16 years, that is if the interest is yearly and not monthly though

7 0
3 years ago
10(a-2.5+0.56b) is this equivalent to 10a - 25+56b
kirill115 [55]

Hey there!

10(a - 2.5 + 0.56b)

= 10(a) + 10(-2.5) + 10(0.56b)

= 10a - 25 + 5.6b

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Therefore, your answer is: 10a + 5.6b - 25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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3 years ago
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