Mathematics College

17
Select the correct answer.
It takes Greg and Nikki a total of 40 minutes to paint a room if they work together. If Greg works alone, he takes 18 minutes longer to paint he
room than Nikki takes if she works alone.
When x represents the number of minutes it takes Nikki to paint the room working alone, the situation is represented by this equation:
+
= 40
Which value is a solution of the rational equation that must be discarded because of the context?
OA. x = 0
OB. x= -10
OC. X = -18
OD. x= -72
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Answers

Answer 1

The value that is a solution of the rational equation that must be discarded because of the context is (b) x = -10

The equation is given as:

[tex]\frac 1x + \frac{1}{x + 18} = \frac{1}{40}[/tex]

Take the LCM

[tex]\frac{x + 18 + x}{x(x + 18)} = \frac{1}{40}[/tex]

This gives

[tex]\frac{2x + 18}{x(x + 18)} = \frac{1}{40}[/tex]

Cross multiply

[tex]40(2x + 18) =x(x + 18)[/tex]

Expand

[tex]80x + 720 =x^2 + 18x[/tex]

Collect like terms

[tex]x^2 + 18x - 80x -720 = 0[/tex]

[tex]x^2 - 62x -720 = 0[/tex]

Using a graphing calculator, we have:

[tex]x = 72\ or\ x =-10[/tex]

The value of x cannot be negative, because of the context.

So, the value that is a solution of the rational equation that must be discarded because of the context is (b) x = -10

Read more about rational equations at:

https://brainly.com/question/18446103

Answer 2

Answer:B- X = -10

Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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What is the probability that the winner of the race (the fastest one of the four runners) will come from Team 2?

Answers

Answer:

B what is the probability that the winner of the race ... that the winner of the race (the fastest one of the four runners) will come from Team 1? ... Setting λ 1 = 19 / 90 and λ 2 = 5 / 24 we have, P ( X 1 < X 2 ) = Z ∞ 0 Z ∞ x 1 f X 1 ( x 1 ) f X 2 ( x 2 ) ...

Step-by-step explanation:

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Denominator of the fraction
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Answers

Answer:

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Answers

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

LM   +    MN     =   LN

x + 7  + 3x + 20 = 6x - 5

           4x + 27 = 6x - 5

          -4x         -4x      

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a temperature of 0 degrees Celsius:

a temperature of 8.5 degrees Celsius above zero:

a temperature of 7 degrees Celsius below zero:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer : There were 72 boxes at the store.
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Answers

Answer:

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Step-by-step explanation:

First get rid of the brackets:

[tex]2u + 12 - 8 > 3u - 15[/tex]

Then simplify:

[tex]2u + 4 > 3u - 15[/tex]

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Answers

Answer:

f(-2) = -3

Step-by-step explanation:

[tex]f(x)=-\frac{1}{2} x^{2} +x+1[/tex]

Just plug in x = -2

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CAN YOU HELP ME WITH MY TESTT PLEASEE!!

Answers

Answer:

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Step-by-step explanation:

Divide the total cost of the dog food ($10.56) by the 24 pounds to get cost per pound.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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jshsmsnsksskjs landmarks sksnsn

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Answer:

sknsonsknsknsknskdnksndksn?

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

Step-by-step explanation:

By elimination method,

x+y=15

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------------

2y=20

i.e y=10

Now,

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or, x+10=15

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O-15
O-3
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Answers

Answer:

-15 is a answere

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answer:

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Answers

X = 5.

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Answer:

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Step-by-step explanation:

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