Ladder diagram of 132

2. The sum of three consecutive integers is 48. What are the three integers?

Natasha2012 [34]

Answer: 15, 16, 17

Step-by-step explanation: you have to divide 48 by 3 when you do this then you get the center number in this case 16 so all you have to do now is add the lower number (15) and the higher number (17) and add and they will equal 48

hope this helps please mark brainliest if it helps

5 0

3 years ago

Mike wrote down a number on a piece of paper and hid it from his friends. He rounded his number to different places and his frie

Naddik [55]

Answer: 145,998, 7,000, and 25,991

My guess :))

Step-by-step explanation:

145,998 7,002 4,506 26,991 12,497

First, Mike rounded his number to the nearest ten

146,000 7,000 4,510 27,000 12,500

Then, he rounded his number to the nearest hundred.

146,000 7,000 4,500 27,000 12,500

Last, he rounded his number to the nearest thousand.

146,000 7,000 5,000 27,000 12,000

3 0

3 years ago

Given that 2y^3+by-cy+d,where b,c and d are constants,leaves a remainder R when divided by (y+1) , (y-2) and (2y-1). Find the va

Eddi Din [679]

The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.

We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have

p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R

==> R = -2 + b + c + d

p(2) = 2(2)³ + b(2)² - c(2) + d = R

==> R = 16 + 4b - 2c + d

p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R

==> R = 1/4 + b/4 - c/2 + d

We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so

p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0

==> 0 = -16 + 4b + 2c + d

Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :

(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R

-18 - 3b + 3c = 0

b - c = -6

(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R

-9/4 + 3b/4 + 3c/2 = 0

b + 2c = 3

(b - c) - (b + 2c) = -6 - 3

-3c = -9

c = 3

b - 3 = -6

b = -3

-16 + 4(-3) + 2(3) + d = 0

d = 22

7 0

3 years ago

Martina runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

cupoosta [38]

It may be 45 I think

6 0

3 years ago

Read 2 more answers

I’m having trouble expressing my answer in algebraic notation

andre [41]

$\bf -2x-4\le -4x+4\implies -2x\underline{+4x}-4 \le -4x\underline{+4x}+4
\\\\\\
2x-4\le 4\implies 2x-4\underline{+4}\le 4\underline{+4}\implies 2x\le 8
\\\\\\
x\le \cfrac{8}{2}\implies x\le 4$

8 0

3 years ago