I REALLY NEED HELP PLEASEEE!!! I'LL GIVE BRAINLIEST! PLEASE HELP!

Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same

navik [9.2K]

X = number of days it would take Kate to paint the house by herself. .
x+5 = number of days it would take Jean to paint the house by herself.
Together, they paint the house in 6 days: 
1/x + 1/(x+5) = 1/6 
Multiply both sides by 6x(x+5) 
6(x+5) + 6x = x(x+5) 
12x + 30 = x^2 + 5x 
x^2 − 7x − 30 = 0
therefore the answer is A.

4 0

2 years ago

Read 2 more answers

The Cubs have won

Naily [24]

First you need to figure out the games the Cubs lost. 11-7=4, so they lost 4 games.

Now you must plug in the ratio of games lost to games played. You know they lost 4 games and played 11, so the ratio would be 4:11.

I hope you find this helpful :)

4 0

2 years ago

Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,

mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = $\frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}$

or

E[X] = $\frac{\textup{1+2+3+4+5+6}}{\textup{6}}$

or

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = $\frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}$

or

E[X²] = $\frac{1+4+9+16+25+36}{\textup{6}}$

or

E[X²] = $\frac{91}{\textup{6}}$

or

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

or

variance = 15.167 - 3.5²

or

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0

3 years ago

How do I solve this?

Readme [11.4K]

Answer:

x ≈ -4.419

Step-by-step explanation:

Separate the constants from the exponentials and write the two exponentials as one. (This puts x in one place.) Then use logarithms.

0 = 2^(x-1) -3^(x+1)

3^(x+1) = 2^(x-1) . . . . . add 3^(x+1)

3×3^x = (1/2)2^x . . . . .factor out the constants

(3/2)^x = (1/2)/3 . . . . . divide by 3×2^x

Take the log:

x·log(3/2) = log(1/6)

x = log(1/6)/log(3/2) . . . . . divide by the coefficient of x

x ≈ -4.419

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A graphing calculator is another tool that can be used to solve this. I find it the quickest and easiest.

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Comment on alternate solution

Once you get the exponential terms on opposite sides of the equal sign, you can take logs at that point, if you like. Then solve the resulting linear equation for x.

(x+1)log(3) = (x-1)log(2)

x=(log(2)+log(3))/(log(2)-log(3))