Let E be the amount of money Ethan starts with, J be the amount Jun Wei starts with, and R be the amount Raj starts with. Let M be the total amount of money to start with.

To start:

$E:J:R = 5:6:9$

This means Ethan has 5/20 of M, the money to start with. This reduces to 1/4 of M.

Afterwards:

$(E-50):J:R = 3:4:6$

This means Ethan has 3/13 of the remaining money (which is M-50!) after giving up 50. So

E = (M/4), or 4E = M

and

$(E - 50) = 3/13 * (M - 50)$

We know 4E = M, so we can substitute that in:

$(E - 50) = 3/13 * (4E - 50)E - 50 = (12/13)E - 150/13E - 650/13 = (12/13)E - 150/13(1/13)E = 500/13E = 500$

That's how much money Ethan had to start with. But we're asked how much he has AFTER giving $50 away, so that's $450.

3 0

3 years ago

Divide. (8x2 – 24x + 15) ÷ (2x – 5)

Studentka2010 [4]

Answer:

31-24x/2x-5

Step-by-step explanation:

multiply: (16-24x+15)/(2x-5)

calculate: (31-24x)/(2x-5)

write the division as a fraction: 31-24x/2x-5

3 0

3 years ago

Determine the area of a circle with radius 5 feet. Question 1 options: A. 25 ft2 B. 25πft2 C. 10πft2 D. 5πft2

Tamiku [17]

Answer:

Option B is the right option.

Solution,

Radius(r)=5 feet

Area of circle=?

Now,

$area = \pi {r}^{2} \\ \: \: \: \: \: = \pi \times {(5)}^{2} \\ \: \: \: \: = \pi \times 25 \\ \: \: \: \: = 25\pi \: {ft}^{2}$

Hope this helps..

Good luck on your assignment..

4 0

3 years ago

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