All categories

3 years ago

BC = 6x + 6, AB = 8 +9, and AC = 141. Find BC

Mathematics

1 answer:

Dahasolnce [82]3 years ago

3 0

Answer: 60

Step-by-step explanation:

Since AB and BC creates AC, we can add them together to find x, then use that to find the value of BC.

8x+9+6x+6=141 [combine like terms]

14x+15=141 [subtract both sides by 15]

14x=126 [divide both sides by 14]

x=9

Now that we have found the value of x, we can plug that into BC.

6(9)+6 [multiply]

54+6 [add]

Now, we know the length of BC is 60.

You might be interested in

Which are the solutions of x2 = 19x + 1?

Finger [1]

Answer:

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

Step-by-step explanation:

we have

$x^2=19x+1$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2}-19x-1=0$

$a=1\\b=-19\\c=-1$

substitute in the formula

$x=\frac{-(-19)\pm\sqrt{-19^{2}-4(1)(-1)}} {2(1)}$

$x=\frac{19\pm\sqrt{365}} {2}$

$x=\frac{19+\sqrt{365}} {2}$

$x=\frac{19-\sqrt{365}} {2}$

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

therefore

StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction

6 0

3 years ago

Read 2 more answers

4 friends are eating personal pan pizzas. Jane has 3/4, Jill had 3/4, Cindy has 2/3 left and Jeff has 2/5 left. Who has the most

Hunter-Best [27]

Jeff because it was out of 5 and he only had two so he had three more to go. Jane had 1 more to go. Jill had 1 more to go. Cindy had 1 more to go and Jeff has 3 more to go.

5 0

3 years ago

The cost to purchase a song from website 1 is $0.30 per song and a $5 membership fee. To purchase a song from website 2 there is

pashok25 [27]

Answer:

I belive the answer is 20 songs.

Step-by-step explanation:

The equation you're looking for to solve this is

0.30x+5=0.20x+7

Then, you would solve for x in order to get 20.

5 0

3 years ago

A triangle with vertices (−3, −3), (−6, 2), and (−1, 5) is what type of triangle? A) Equilateral B) Scalene C) Right D) Isoscele

aalyn [17]

<span>C) Right

https://www.desmos.com/calculator/vf2qksnpwe

</span>right triangle
<span>Proof: You can apply the Pythagorean theorem.</span>

3 0

3 years ago

Coach Pettaway is buying basketball equipment for his team. He gets a

soldier1979 [14.2K]

First, let’s all acknowledge that whoever comes up with problems like this WANTS kids to hate math...smh

I’m sure there is a prettier way to solve this, but here’s what I did:

8(2.25) + 3(22.50) =
18 + 67.50 = 85.50 per “set” of balls/jerseys
400/85.50 = 4.678 = number of “sets” he can buy. Round down to 4 so we have room for tax.

85.5 x 4 “sets”= $342
Tax on 342 is 0.06 x 342 = 20.52

$342 + 20.52 = $362.52 spent

Basketballs = 4 sets x 8 balls per set= 32
Jerseys = 4 sets x 3 jerseys per set= 12

32 basketballs, 12 jerseys, $362.52 spent

3 0

3 years ago