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Kitty [74]
1 year ago
9

B is the midpoint of AC. AB= 3(3x-1) and AC=5(2x+2) find X, AB, BC, and AC

Mathematics
2 answers:
VMariaS [17]1 year ago
4 0

Answer:

x = 2

Step-by-step explanation:

AB is given as 3(3x-1) multiply inside the parenthesis with 3

AB = 9x - 3

AC is given as 5(2x+2) multiply inside the parenthesis with 5

AC = 10x + 10

if B is midpoint of AC then AB = BC and AC = AB + BC if we write this equation using the given values

9x - 3 + 9x - 3 = 10x + 10 add like terms

18x - 6 = 10x + 10 transfer like terms to the same side of the equation

18x - 10x = 10 + 6

8x = 16 divide both sides by 8

x = 2 replace x with 2 in given expressions to find the value of each component

UNO [17]1 year ago
3 0

Answer:   x = 2; AB = 15; BC = 15; AC = 30

Step-by-step explanation:

AB = BC = 3(3x - 1) = 9x - 3

AC = 5(2x + 2) = 10x + 10

AB + BC = AC

(9x - 3) + (9x - 3) = 10x + 10

   9x - 3 + 9x - 3 = 10x + 10

               18x - 6 = 10x + 10

                8x - 6 = 10

                      8x = 16

                        x = 2

Plug x = 2 to find AB, BC, and AC.

AC = BC = 3(3x - 1) = 9x - 3 = 9(2) - 3 = 18 - 3 = 15

AC = 5(2x + 2) = 10x + 10 = 10(2) + 10 = 20 + 10 = 30

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frozen [14]

9 - x < 8 => -x < 8 - 9 => -x < -1 => x > 1

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So the number is between 1 and 6, notation 1 < x < 6

7 0
3 years ago
Sari sold 300 boxes of greeting cards in November. In december she sold 500. What was the percentage increase in her sales
grigory [225]
There was a 66 \frac{2}{3}% increase from Sari's sales from November to December. 

To find the percentage increase in her sales, we must first find the amount her sales increased. We can do that by subtracting the greeting cards sold in November from the number of greeting cards sold in December. Substituting values and simplifying, we get that she sold 200 more greeting cards in December.

To find what percent increase this is, we must find what percent 200 is of the number of greeting cards sold in November. We can do this by dividing 200 by the number of cards sold in November (300), and then multiplying by 100 (to make it a percent). Doing this, we get \frac{2}{3} * 100 which gives us our answer of 66 \frac{2}{3}%.
3 0
3 years ago
A Florida factory produces fishing reels at a rate of 800 per day, every day. In April, they are forced to cut their production
Bingel [31]

Multiply 800 to 4/5 to see how much they make per day.

800 * 4/5 = 640

So, they make 640 fishing reels per day.

Multiply this to 30:

640 * 30 = 19,200

So they will make 19,200 fishing reels in 30 days.

This is not enough for the order.

8 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=3%20%5Ctimes%204x%20%5Ctimes%202y" id="TexFormula1" title="3 \times 4x \times 2y" alt="3 \time
Dahasolnce [82]

Answer:

24 x y

Step-by-step explanation:

Simplify the following:

3×4×2 x y

Hint: | Multiply 3 and 4 together.

3×4 = 12:

12×2 x y

Hint: | Multiply 12 and 2 together.

12×2 = 24:

Answer: 24 x y

5 0
2 years ago
A high school choir had a car wash to raise money, the number of trucks washed was 5 fewer than twice the number of cars washed.
Aneli [31]

Answer:

Step-by-step explanation:

ok so, we know they washed 34.

x-5=Trucks washed [19.5-5=(14.5)]

x=cars washed (19.5)

x+x-5=34

2x-5=34

+5   +5

2x=39

divide 2 both sides

x=19.5

To check work: 19.5+14.5=34!

Hope this helps :)

7 0
3 years ago
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