URGENT‼️ PLEASE HELP!

(y+3):(y+5)=k:1<br><br> show that y=(5k-3)/(1-k)<br><br> hence y=(5k-2)/(1-k)

luda_lava [24]

hi,

Express the ratios in fractional form, that is

= ( cross- multiply )

y + 3 = k(y + 5) ← distribute

y + 3 = ky + 5k ( subtract ky from both sides )

y - ky + 3 = 5k ( subtract 3 from both sides )

y - ky = 5k - 3 ← factor out y from each term on the left side

y(1 - k) = 5k - 3 ← divide both sides by (1 - k)

y = 5k- 3

____

1 - k

4 0

3 years ago

What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin

egoroff_w [7]

Answer: $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

$AP:AB=3:4$

$AP:PB=AP:(AB-AP)=3:(4-1)=3:1$

It means, point P divides segment AB in 3:1.

Section formula: If a point divides a line segment in m:n, then

$\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Using section formula, we get

$P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)$

$P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)$

$P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)$

$P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$

Therefore, the required point is $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

6 0

4 years ago

Eric earns $15 per hour at his job. Write an equation that shows the

noname [10]

Answer:

15y=x

Step-by-step explanation:

8 0

3 years ago

you need 3 sticks of butter for every 24 cookies how many cookies can you bake with 5 sticks of butter?

jek_recluse [69]

Answer:

40

Step-by-step explanation:

The first box is 2--> 16*3 divided by 24= 2

Second box is 40--> 5*24 divided by 3= 40

Hope it helps.

5 0

3 years ago

Marisa bought four bottles of water.Each bottle of water was 95 cents. Write an equation with the same product as the total cost

meriva

Answer:

$5\times 0.76= 3.8$

Step-by-step explanation:

Given: Marisa bought four bottles

Price of each bottle is $0.95.

Solving with the factors as given to find the total cost paid by Marisa.

Total cost= $4\ bottles\times \$ 0.95= \$ 3.8$

∴ Total cost paid by Marisa is $3.8.

As given to write an equation with the same product as the total cost but different factors.

∴ Lets assume the number of bottles bought by Marisa be "5" and cost of each bottle be "x"

We already find the total cost she paid is $3.8.

Now, writing an equation with different factors, as total cost remain same.

$5\times x= 3.8$

Dividing both side by 5

we get x= $ 0.76

∴ The required equation is $5\times 0.76= 3.8$

6 0

3 years ago