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3 years ago

15:59:26

Mathematics

1 answer:

Viefleur [7K]3 years ago

5 0

Answer:

Step-by-step explanation: I just took the quiz.

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What is the justification for each step in the solution of the equation?<br><br> 4(4x+6)−7=77−4x

zepelin [54]

Answer:

20x + 17 = 77 --> Addition Property of Equality:

You are adding (Addition Property) 4x to both sides of the equal sign (Equality).

20x = 60 --> Subtraction Property of Equality:

You subtracted (Subtraction Property) 17 from both sides of the equal sign (Equality).

x = 3 --> Division Property of Equality:

You divided (Division Property) 20 from both sides of the equal sign (Equality) to completely isolate the variable x.

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3 years ago

What is the simplify rational expression for 10b + 100

igor_vitrenko [27]

Answer:

10 (b+10)

Step-by-step explanation:

10b + 100

Factor out a 10

10 *b + 10*10

10 (b+10)

7 0

3 years ago

Read 2 more answers

Name the property illustrated.<br><br> (4 + 6) + 9 = 4 + (6 + 9)

Andrews [41]

Commutative property.
Mark brainliest

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

What is the answer? I don’t understand how to get it.

miss Akunina [59]

Answer:

Step-by-step explanation:

Sub in the (x,y) points given into the equation to see if true ....you'll find A is the answer

Example point (3,95 ) 95 = -10.375 (3) + 126.125 ??

95 = 95 Check !

then try the other point ( 11,12) to be sure ....

5 0

1 year ago