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makvit [3.9K]
3 years ago
9

The sum of 5 consecutive even numbers is 20

Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

Step-by-step explanation:

Let the 1st number be x

2nd number = x + 2

3rd number = x + 4

4th number = x + 6

5th number = x + 8

x + x + 2 + x + 4 + x + 6 + x + 8 = 20

5x + 20 = 20

5x = 20 - 20

5x = 0

x = 0 ÷ 5

x = 0

The 5 consecutive integers are

0, 2, 4, 6, 8

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Tina must select and answer in any order three of seven
Leno4ka [110]

Answer:

Tina can select and answer the essay questions on her test in 35 ways.

Step-by-step explanation:

The order in which she chooses the questions is not important. For example, choosing questions 1, 3 and 7 is the same as choosing 7, 3 and 1. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Three questions from a set of 7. So

C_{7,3} = \frac{7!}{3!(7-4)!} = 35

Tina can select and answer the essay questions on her test in 35 ways.

6 0
3 years ago
Identify a1 r and n for the sum of the geometric sequence. 1/2 + 3/8 + 9/32 + 27/128 + 81/512
Bess [88]

Answer:

a1=1/2


r=3/4


n=5

Step-by-step explanation:

a1 is the first term in the geometric series


a1=1/2  


r is the common ratio of the first and second term


r=(3/8)/(1/2)


r=3/4



where n is the no of the term in the geometric series

In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It expresses that the rest of the division of a polynomial by a direct polynomial is equivalent to. Specifically, is a divisor of if and just if a property known as the factor hypothesis.

The number multiplied at each stage of a geometric sequence is called its common ratio.



4 0
3 years ago
Read 2 more answers
Find the solution of the differential equation that satisfies the given initial condition.
Ann [662]

Answer:

I don’t know

Step-by-step explanation:

5 0
3 years ago
Mr. Thomas deposited 2500 in a new bank account. The bank pays 6.5% interest compounded annually on this account. He makes no de
kotykmax [81]

Answer:

ghjghf

Step-by-step explanation:

8 0
3 years ago
A ′ B ′ C ′ triangle, A, prime, B, prime, C, prime is the image of △ A B C △ABCtriangle, A, B, C under a rotation about the orig
erma4kov [3.2K]

The angle of rotation of triangle ABC to A'B'C is 105°

<h3>How to illustrate the information?</h3>

It should be noted that the rotation from ABC to A'B'C is in a clockwise direction.

Point B is also on the x axis and point B' is in the second quadrant.

In this case, the angle that depicts the second quadrant is 105°.

In conclusion, the correct option is D.

The complete question is:

Triangle A’ B’ C’ is the image of A B C under a rotation about the origin, (0,0)

Determine the angle of rotation

A. -105 degrees

B. -75 degrees

C. 75 degrees

D. 105 degrees

Learn more about triangles on:

brainly.com/question/11485921

#SPJ1

8 0
2 years ago
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