Given B is the midpoint of AC, what is AC ?

A. 54
B. 27
C. 6
D. 18

Answers

Answer 1

Answer: A. 54

The fact that B is the midpoint means that AB = BC so you can set up the equation of
4x+3 = 3x+9

Then solve for x by subtracting 3 from the left and 3x from the right to get

X=6

Finally, plug that back in to your line and solve for the total value

4(6) + 3 + 3(6) +9 = 54

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What is 2 and 5/12-( -2 and 1/6) ?

Express the answer in simplest form.

Answers

Find the LCD, and modify the first fraction. the new equation is: 2 5/12 - (-2 2/12). since subtracting a negative is the same as adding, you add the second fraction: 2 5/12 + 2 2/12. add the fractions, and add the whole numbers. the answer is: **4 7/12**

the radius of a music CD is 6 centimeters. what is the circumfrence of a CD to the nearest tenth? use 3.14 for. pi

Answers

The formula is 2*3.14*r

so 2*3.14*6=37.68

You run 4 3/4 miles through a park each day. If you ran that distance 5 times last week, how many miles did you run?

Answers

it;s simple you just take 4 3/4 and multiply it by 5
which is 23 3/4 or 23.75

23 3/4 because 4.75 ( 4 3/4) * 5 (#days) = 23.75 or 23 3 /4

4x + 4y + 2z = 8x - y -z = 0
4y - 2z = -15
x = 2, y = -2, z = 4; (2, -2,4)
Is (2,-2,4) a solution of the system of equations? Yes or no?

Answers

The answer is no, because the first two equations are right but the third equation equals -16 instead of -15. So the answer is no (2,-2,4) is not the solution to all the system of equations.

a mail truck picks up two boxes of mail from the post office. the total weight of the boxes is 32 pounds . one box is 8 pounds heavier than the other box. how much does each box weight

Answers

One box is 24lb another box is 8 because i half of 32 is 16 and 1/2 of 166 is 8 so 16 + 8 = 24 leaving another 8 behind

Final answer:

The boxes weigh 12 pounds and 20 pounds respectfully. We found this by setting up and solving an equation based on the problem's parameters.

Explanation:

Let's assume the lighter box weighs 'x' pounds, this makes the heavier box weigh 'x+8' pounds. According to the problem, the total weight of both boxes that the mail truck picks up from the post office is 32 pounds. So, we can set up the following equation: x + (x+8) = 32. Solving this equation we get 2x = 24, which means x = 12. So, one box weighs 12 pounds and the other box, which is 8 pounds heavier, weighs 20 pounds.