Can someone help me with this question?

Mathematics

1 answer:

Alenkinab [10]3 years ago

7 0

Answer:

a. [L], [M]

b. 41, 42, 43

Step-by-step explanation:

If x represents the smallest number, then the second number is (x+1) and the third number is (x+2). The sum is of the first number (x), 3 times the second number, 3(x+1), and 2 times the third number, 2(x+2). That sum can be written as ...

Total = x +3(x +1) +2(x +2) . . . . matches [L]

If we use the distributive property to eliminate parentheses, we get ...

Total = x +3x +3 +2x +4 . . . . . matches [M]

Using the equation of [M], we have ...

253 = x +3x +3 +2x +4

246 = 6x . . . . . . . . . . . . . . . . collect terms, subtract 7 from both sides

41 = x . . . . . . . . . divide both sides by 6

The three consecutive numbers are 41, 42, 43.

You might be interested in

Find all values of a such that (a-3)/sqrta=-sqrta

Mariana [72]

Answer:

From the Pythagorean theorem...

[ distance between (a, 7) and (2, 1) ]2 = [a - 2]2 + [7 - 1]2

And they tell us that the distance equals 3√5 , so

[ 3√5 ]2 = [a - 2]2 + [7 - 1]2

45 = [a - 2]2 + 36

9 = [a - 2]2

±√9 = a - 2

± 3 = a - 2

± 3 + 2 = a

a = 3 + 2 = 5 or a = -3 + 2 = -1

and

5 + -1 = 4

Step-by-step explanation:

hope dis helps

3 0

3 years ago

What are the prime factors of 700? A. 350 × 2 B. 2 × 2 × 2 × 5 × 5 × 7 C. 2 × 2 × 25 × 7 D. 2 × 2 × 5 × 5 × 7

S_A_V [24]

We can do this by the tree method. What I've done here is to divide each factor by prime numbers until we have only prime numbers left. For example the second level of the tree from the top has 350 and 2. This is because 750 = 2*350. the next level has 175 and 2 because 350 = 2*175.

At the end we are left with the prime factors and find that 700 = 7*5*5*2*2