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Vitek1552 [10]
3 years ago
15

The sum of 4 consecutive odd numbers is 40. What is the 2nd number in this sequence?

Mathematics
1 answer:
Mkey [24]3 years ago
4 0
Try this option (it is not the only way):
1. if to use for consecutive odd numbers: n; n+2; n+4 and n+6), then it is possible to write their sum in equation: n+n+2+n+4+n+6=40.
2. if to solve this equation: n=7 it means that 7 - the 1st number of the given sequence.
Using n=7 the 2d number of this sequence is n+2=9.

answer: 9.
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The product of two consecutive even positive integers is 674 more than the sum of the two integers. Find the integers.
IrinaVladis [17]
2n(2n+2)=2n+2n+2+674\\
4n^2+4n=4n+676\\
4n^2=676\\
n^2=169\\
n=-13 \vee n=13
-13\not\ \textgreater \ 0

n=13\\
2n=26\\
2n+2=28

It's 26 and 28.
7 0
3 years ago
Triangle ABC has sides with lengths of 11, 18, and 8 units. Determine whether this triangle is a right triangle.​
Arturiano [62]

Answer:

Not a right triangle.

Step-by-step explanation:

If this triangle is a right triangle, then the Pythagorean theorem would work on it. According to the Pythagorean theorem, a^2+b^2=c^2, so c would always be greater than a or b. In this scenario, the greatest number here is 18, so c = 18. Since a or b don't matter if given both legs, we have the following equation that may or may not be equal: 8^2+11^2=18^2. We know 8 squared is 64, and 11 squared is 121, and 18 squared is 324. This means that 64+121=324 according to the Pythagorean theorem, and since 64 + 121 = 185, and 185 does not equal 324, the Pythagorean theorem does not work and the triangle is not a right triangle.

3 0
2 years ago
Darla spent $120.37 on groceries in January, $108.45 in February, and $114.86 in March. What was the average monthly cost of Dar
kari74 [83]
In order to find an average, you have to add all the numbers and divide by the number of things you added.

120.37 + 108.45 + 114.86 = 343.68
343.68/3 = 114.56

She spent an average of $114.56 each month on groceries.
4 0
3 years ago
A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of the seco
IrinaK [193]
First number=1/2x+3
first number=1/4x+5
7 0
3 years ago
So the problem I got was "Ben is splitting 2 quarts of icecream with 9 members of the team. If the icecream is split evenly how
posledela

Answer:

8/9 of a cup

Step-by-step explanation:

8 cups of icecream to be divided among 9 people, so they can't have full cups.

Each person will get 8/9 of a cup

4 0
3 years ago
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