find the equation for the line​

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

Step-by-step explanation:

First find x:

AB:AC=1:2

2(3x-4)=2x+12

6x-8=2x+12

4x-8=12

4x=20

x=5

Substitute:

AC=2x+12

=(2x5)+12

=10+12

=22

BC=7x-2

=(7x5)-2

=35-2

=33

22/33=2/3

Therefore AC:BC = 2:3

Answer:

[tex] - \frac{18}{ {b}^{4} } [/tex]

Step-by-step explanation:

[tex] - 18b {}^{ - 4} [/tex]

express b^-4 with a positive exponent using:

[tex]a {}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

[tex] - 18 \frac{1}{ {b}^{4} } [/tex]

[tex] - \frac{18}{ {b}^{4} } [/tex]

Answer:

78 minutes

Step-by-step explanation:

72/12=6

6*13=78

Answer:

13 / 19

Step-by-step explanation:

Given that :

U = 130

Let :

s = swimming pool

t = track

g = gym

n(g) = 61 ; n(s) = 68 ; n(t) = 60

n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19

n(g n s n t) = 6

n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13

Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)

= 13 / 19

= 13 / 19

Answer:

The number of feet she will travel back is 1 or 7 feet

Step-by-step explanation:

Here, we need to solve the quadratic equation

That will be as follows;

0 = x^2 -8x + 7

x^2-x-7x+ 7 = 0

x(x-1)-7(x-1) = 0

(x-1)(x-7) = 0

x = 1 or 7

The number of feet she will travel before coming back to the surface of the water is 1 or 7 feet

Answer:

One solution.

Step-by-step explanation:

This question has different coefficients so it has one solution.

Answer:

D; $4,250

Step-by-step explanation:

Here, we want to know the amount that was invested in the 5% account

We proceed as follows;

Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b

We have it that the total investment amount is $11,000

Mathematically, since total is 11,000; we can add a and b to give this

a + b = 11,000 •••••••••(i)

Now, let us work with the interests

Interest earned will be;

Percentage of interest * Amount invested

For the 5% interest account, the interest earned will be;

5/100 * a = 5a/100 = 0.05a

For the 8% interest account , the interest earned will be;

8/100 * b = 0.08b

By adding the interests on both account, we can get the total amount of interest earned

We can have this as;

0.05a + 0.08b = 752.50 •••••(ii)

From equation i above;

b = 11,000 - a

Substitute this into ii

0.05a + 0.08(11,000-a) = 752.5

0.05a+ 880 - 0.08a = 752.5

0.08a-0.05a = 880-752.5

0.03a = 127.5

a = 127.5/0.03

a = $4,250

Answer:

I think it would have to be the last one please tell me if i am right

Step-by-step explanation:

Answer:

It's the graph in the middle, just did it on edge

Step-by-step explanation:

Answer:

the first one is b= 52

the second one is b= 63

Answer:

here's the answers............

Answer:

0.000032, 0.0000064

Step-by-step explanation:

Each is divided by 5

0.00032 and 0.00064

Think, each is divided by 5!

0.1, 0.02, 0.0004, 0.00008, 0.00016, 0.00032, 0.00064.

Posted By:

ehie, BenjiDev#3339

Answer:

3/2

Step-by-step explanation:

That's the answer mark me brainliest Please

Answer:

Step-by-step explanation:

4*1 3/8=

4/1 * 11/8=

11/2 or 5 1/2

9514 1404 393

Answer:

  8 3/4 hours

Step-by-step explanation:

Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:

  (10.5 h)/1.2 = 8.75 h

It will take 8.75 hours at the increased speed.

Given :

Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters.

They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding.

To Find :

How many dimes and quarters in Lulu holding?

Solution :

4.10 dollar = 410 cents

Let, number of dimes and quarter are x and y.

So, x + y = 20    ...1)

Also, 10x + 25y = 410    ...2)  

Putting value of 1) in equation 2), we get :

10x + 25( 20 - x ) = 410

10x + 500 - 25x = 410

15x = 90

x = 6

y = 14

Therefore, number of dimes and quarters are 6 and 14 respectively.

Hence, this is the required solution.

Answer:

$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.

Step-by-step explanation:

Answer:

y=-2/3x+2/3 i think... :)

Step-by-step explanation:

y=mx+b

-4=-2/3(-7)+b

-4=14/3+b

b=2/3

y=-2/3x+2/3

Answer:

-10c

Step-by-step explanation:

-4(c+2d)-2(3c-4d) = (-4c-8d) + (-6c+8d)

Multiply (-4) to both terms in the first bracket and multiply (-2) to both terms in the second bracket.

(-4c-8d) + (-6c+8d) = -4c-8d-6c+8d

Evaluate like terms.

-4c-8d-6c+8d = -10c

Answer:

what's that 120 which angle is that

Step-by-step explanation:

Triangle AGB has Angle AGB = 120° and AG = GB. (given)

Since it is isosceles, x = (180° - 120°)/2 = 30°.

Answer:

The answer is D: y = -2x + 6

Step-by-step explanation:

the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

Total possibilities = 16

Probability of a dime of the first draw is 10/16 = 5/8

Probability of a penny on the second draw = 1/15

Probability of both = 5/8 * 1/15 = 1/24

Answer:

14x+37=4x

Step-by-step explanation:

Answer:

X = 24

Step-by-step explanation:

Just apply H² = B² + P²

(26)² = (10)² + P²

676 = 100 = P²

676 - 100 = P²

P² = 576

P = √576

P = 24

P = X

Hope this helps you.