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2 years ago

Somebody help me with this math, please! 15 Points for TWO thoughtful, well-explained, correct answers.

Mathematics

2 answers:

Sauron [17]2 years ago

6 0

In both parts, we have to apply "Proportionality Theorem" which tells, ratio of corresponding part should be equal.

1) CD/BD = FE/GE
8/24 = 6/GE

GE = 6*24 / 8
GE = 18

2) BC/BD = EF/EG
14/BD = 5/15
BD = 42

Now, CD = BD - BC
CD = 42 - 14 = 24

Hope this helps!

Elodia [21]2 years ago

6 0

1. You would set up a proportion to solve. BD/CD=GE/FE substitute the variables with numbers 24/8=GE/6 then you cross multiply and get 144=8GE divide both sides by 8 and get 18=GE.

2. First you need to find BD. BD/BC=EG/EF substitute the variables with numbers. BD/14=15/5 cross multiply 5BD=210 divide both sides by 5 and get BD=42. 42-14=24. CD=24.

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Answer:

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Step-by-step explanation:

Let the number of red fish and blue fish in the large tank are x and y respectively.

Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.

Since in each tank ratio of the red fish to blue fish is 333 : 444

That means x : y = 333 : 444

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Similarly x' : y' = 333 : 444

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⇒ $\frac{x'}{y'}=\frac{3}{4}$

⇒ x' = $\frac{3y'}{4}$ ------(2)

Ratio of the fish in large tank to the fish in small tank is 464646 : 555

So (x + y) : (x' + y') = 464646 : 555

$\frac{x+y}{x'+y'}=\frac{464646}{555}$

Now we replace the values of x and y' from equation (1) and equation (2)

$\frac{(x+\frac{4x}{3})}{(\frac{3y'}{4}+y')}=\frac{464646}{555}$

$\frac{\frac{7x}{3}}{\frac{7y'}{4}}=\frac{464646}{555}$

$\frac{4}{3}\times \frac{x}{y'}=\frac{464646}{555}$

$\frac{x}{y'}=\frac{3}{4}\times \frac{464646}{555}$

$\frac{x}{y'}=\frac{232323}{370}$

$\frac{y'}{x}=\frac{370}{232323}$

$\frac{y'}{x}=\frac{10}{6279}$

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Hello,

Question:

Keisha solved the following equation:

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Answer:

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