If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6. What is AC?

Answer:

The prove is explained below:

Step-by-step explanation:

The computation is given below:

Here we needed two equations

Let us assume x = 0.555 --------------- (1)

Now if multiplied it by 10 to the both sides

So, it would be

10x = 5.555............(2)

Now deduct equation 1 from equation 2 in order to remove the recurring decimals  

(10x - x) = (5.5555 - 0.5555 )

9x = 5 (divided the both sides by 9 )

So x = 5 by 9

Answer:

use khan academy, its a website or an app which a lot of kids which are homeschooled learn education on.

Answer: B.) $6,000

Step-by-step explanation:

The equation shows how much Jordan has to pay per month until he is finished paying the loan.

This is a linear equation in the form: y = mx + c

y is the amount left to be paid

m is the change per month which means it is the amount paid per month

x is the independent variable that is changed which means it is the no. of months

c is a constant figure which in this case would be the amount borrowed.

With c being the amount borrowed as it is the constant in the equation, c in the equation must be 6,000 as this is the only constant.

The original amount of loan must therefore be:

= $6,000

Answer:

After 10 years , the number of residents in the community = 100,007.45

Step-by-step explanation:

Let P be the population of a farming community.

As we know that,

Exponential Growth model is :

P(t) = P₀[tex]e^{kt}[/tex]      ........(1)

where P₀ is the initial state , k is the growth constant.

As given,

A farming community begins with one resident.

⇒At t = 0 , P(t) = 1

∴ Put t = 0 in equation (1), we get

1 = P₀[tex]e^{0}[/tex]

⇒1 = P₀

∴  equation (1) becomes

P(t) = [tex]e^{kt}[/tex]    ......(2)

As given, every year, the number of residents multiplies by 10

⇒At t = 1 , P(t) = 10

∴ Put t = 1 in equation (2), we get

10 = [tex]e^{k}[/tex]

Taking ln both side we get

ln(10) = ln([tex]e^{k}[/tex] )

⇒2.3026 = k

∴  equation (2) becomes

P(t) = [tex]e^{2.3026t }[/tex]

Now, we have to find the population at t = 5

⇒P(5) = [tex]e^{5(2.3026} = e^{11.513} = 100,007.45[/tex]

So, we get

After 10 years , the number of residents in the community = 100,007.45

Answer:

25-X=10

Step-by-step explanation:

she started with 25 ounces and drank x so thats just subtracting.

By the way X=15

Answer:

it hard too

Step-by-step explanation:

it's hard also so

Answer:   180

an = a1 + (n - 1)d

a1 = 6 [1st term]

d = 4 [common difference]

n = 30 [30th term]

a30 = 6 + (30 - 1)*6 = 180

Answer: 76

Step-by-step explanation:

If a pair of parallel lines are cut by a line, the alternate angles are equal to each other. The angles 76 and x are alternate angles, so that means they are equal.

Answer:

Mr Lee gets 9kg

Mrs Scarlett gets 6kg

Step-by-step explanation:

First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.

We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient

15kg/10 = 1.5kg

This means that each person gets 1.5 kg of chocolate.

Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:

6*1.5kg = 9kg

And Mrs Scarlett will get the remaining, that is:

15kg - 9kg = 6kg

Mrs Scarlett will get 6kg of chocolate.

Answer:

8g-5g=24.

We move all terms to the left:

8g-5g-(24.)=0

We add all the numbers together, and all the variables

8g-5g-24=0

We add all the numbers together, and all the variables

3g-24=0

We move all terms containing g to the left, all other terms to the right

3g=24

g=24/3

g=8

Step-by-step explanation:

Answer:

Step-by-step explanation:

8g-5g=24

8-5=3

3g=24

3g/3=24/3

g=8

Answer:

It's A on edge

Step-by-step explanation:

Answer:

A.) x = 6 plus-or-minus 3 StartRoot 10 EndRoot

Step-by-step explanation:

bc im taking test :)

Answer:

140

Step-by-step explanation:

just mutiply 35 by 4, thats h0w i g0t it anyways, h0pe this helped :)

Answer:

its 140 in 4 hours

Step-by-step explanation:

hope this helps!

Answer:

5.79

Step-by-step explanation:

I think I'm not very sure tho

It's 7.723, not 5.79.

If you get your bodmas correctly, you should get 7.723.

Solution:

Do "((-4.6) - 1.9) first, which is -6.5 basically.

After that it is (-2.78) x (-2.8), which is 7.784.

After that do (2.2 - 1.8) ÷ ((-4.6) - 1.9), which is -0.061

After that 7.784 + -0.061, which makes it 7.723.

The answer to (3x + 4) - (x + 2) is

2(x + 3).

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

Answer:

2x + 2 is the answer.....

Answer:

12

Step-by-step explanation:

tangent opposite/adjacent. tan(29)=x/22. separate x, and you get 22tan(29), which is 12.

Answer:

254.34 mm².

Step-by-step explanation:

For this problem, we use the formula to find the area of a circle, which is[tex]A=\pi r^2[/tex] . [tex]r[/tex] is the radius, which we can find by dividing the diameter by 2 and [tex]\pi[/tex] in this case is 3.14.

[tex]A=\pi r^2\\A=3.14*(18/2)^2\\A=3.14*9^2\\A=3.14*81\\A=254.34[/tex]

Therefore, the area of either face of the coin is 254.34 mm².

I hope this helps!

Answer:

K=2

Step-by-step explanation:

I es Smrt

Answer: y= X+3

Step-by-step explanation:

slope intercept form is y=mx+b where m is the slope and b is the y- intercept

Answer:

750/100 X 7 = 52.50

52.50 X 3 = $157.50

Step-by-step explanation:

divide principal amount by 100 then multiply by interest percentage. this gave 52.50

now multiply the interest amount by number of years

in this case 3

52.50 X 3 = $157.50

Answer: B.

Step-by-step explanation:

4x + 8y = 2(4y + 2x)

Answer:

B

Step-by-step explanation:

A. 4 (2x + y)

8x + 4y ( So not this! )

B. 2(4y + 2x)

8y + 4x ( This is right! )

C. 4(2x + 4y)

8x + 16y ( So not this! )

D. 8 (y + 2x)

8y + 16x ( So not this! )

Answer:

Length: 48

Width: 12

Step-by-step explanation:

Substition

l - 2w = 24

I = 60 - w

60 - w - 2w = 24

60 - 3w = 24

-3w = -36

w = 12

Substitute it into the equation to get the length.

l = 60 - 12

l = 48

Answer:

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Step-by-step explanation:

Step(i):-

Given points are ( 4,2 0 and ( 7,-3)

Slope of the line

         [tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]

Step(ii):-

Equation of the straight line passing through the point ( 4,2) and

having slope m = [tex]\frac{-5}{4}[/tex]

y - y₁ = m( x- x₁ )

[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]

4( y -2) = -5( x-4)

4 y - 8 = - 5x +20

5x +4y -8 -20=0

5 x + 4y - 28=0

Final answer:-

Equation of the straight line passing through the point ( 4,2) and (7,-3) is

5 x + 4y - 28=0

Answer:

81

Step-by-step explanation:

its square shaped so that means all sides are equal and to find the area its length * width and if all sides are 9 then 9*9 = 81

Answer:

If everyone contributed to the bill, everyone would have had to pay 6 dollars each.

Step-by-step explanation:

You take 42, divide it by 7 to get 6.