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Sonbull [250]
3 years ago
6

Solve this equation.

Mathematics
2 answers:
cestrela7 [59]3 years ago
8 0

Answer:

OB=4

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

4x+5−5=21−5

4x=16

Step 2: Divide both sides by 4.

4x/4=16/4

x=4

Answer:

x=4

Lena [83]3 years ago
7 0

Answer:

OB: 4

Step-by-step explanation:

4x+5=21

Next step is to subtract 5 on both sides to keep it an equation.

4x=21-5

4x=16

Finally, divide by 4 on both sides for x to be alone and for it to stay and equation.

x=4!

There you go! Hope this helped, this is my first time answering a question! :p

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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
2 years ago
What are the solutions to the equation 3(x – 4)(x + 5) = 0?
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24r3-64r2-21r+56 answer
antiseptic1488 [7]
The answer is: (3r-8)(8r^{2}-7)
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2 years ago
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8 0
3 years ago
Read 2 more answers
When you multiply and divide by a negative you have to _______​
Molodets [167]

Answer:

Multiplying and dividing with integers. You also have to pay attention to the signs when you multiply and divide. There are two simple rules to remember: When you multiply a negative number by a positive number then the product is always negative.

Step-by-step explanation:

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