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Veseljchak [2.6K]

3 years ago

5

The probability that an event will occur is 25/25 . Which of these best describes the likelihood of the event occurring? (5 poin

ts)
Group of answer choices

Likely

Certain

Unlikely

Impossible

group: 1

1 answer:

lianna [129]3 years ago

7 0

Certain just makes the most

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Two pipes running together can fill a tank in 20 minutes.

Hunter-Best [27]

Answer:

45, 36

Step-by-step explanation:

let x y minutes be the time for pipes to fill the tank, let n be the water needed to fill the tank.

x-y=9

(n/x)*20+(n/y)*20=n

n is removed by dividing the 2nd equation by n

here u get:

(1/x+1/y)*20=1

you sub x=9+y into the above equation

1/y+1/(9+y)=1/20

((9+y)+(y))*20=(9+y)(y)

180+40y=9y+y2

y2-31y-180=0

then use the quadratic formula and u will find y=36 or -5

-5 is rejected because it is negative

x=36+9=45

therefore it is 36 mins and 45 mins

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4 years ago

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Roman55 [17]

The answer is 4) Reflection

3 0

3 years ago

Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$

Implies either K = 6 Or K = 1

But if K = 1, (K-3) = 1- 3 = -2 hours would be A CONTRADICTION.

⇒ K = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0

3 years ago

Which expression is equivalent to 5(2x+3)-2x?

IrinaK [193]

Answer:

x= -15/8

Step-by-step explanation:

5(2x+3)-2x = 0

10x+15-2x = 0

8x= -15

x= -15/8

3 0

3 years ago

Read 2 more answers

HELP?<br><br> 7-15 please :) show work<br> thank you!

Alexus [3.1K]

Answer:

7. x = 3

Step-by-step explanation:

To find the value of x, use the triangle sum property. Every triangle has interior angles which add to 180 degrees. To solve, add the expressions and numbers together then set equal to 180. Then use inverse operations to solve for x.

7. 20x - 9 + 10x + 9 + 90 = 180 Subtract 90 from both sides.

20x - 9 + 10x + 9 = 90 Add -9 + 9 = 0

20x + 10x = 90 Add like terms 20x + 10x = 30x

30x = 90 Divide both sides by 30.

x = 3

Repeat this process for each problem.

7 0

3 years ago