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3 years ago

Solve7+x/4=5 For x please show steps

Mathematics

2 answers:

seraphim [82]3 years ago

8 0

7 + x/4 = 5 (common denominator is 4)

4(7+x/4) = 4 x 5 (distribute the 4 though parenthesis)

4 *7 +4x/4 = 4 x 5

4 * 7 + x = 4 x 5

28 + x = 4 x 5

28 + x = 20 (subtract the 28)

x = 20 - 28

x = -8

marishachu [46]3 years ago

6 0

Hello!

Answer:⇒⇒⇒⇒⇒⇒⇒⇒⇒ $x=-8$

Step-by-step explanation:

First you had subtract by 7 from both sides of equation.

$7+\frac{x}{4}-7=5-7$

And then simplify.

$\frac{x}{4}=-2$

Multiply by 4 from both sides of equation.

$\frac{4x}{4}=4(-2)$

Finally, simplify.

$x=-8$

Hope this helps!

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Have a great day!

-Charlie

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Solve the inequality: p/-4 - 1 > 1

Neporo4naja [7]

Answer: p < -8

Step-by-step explanation:

5 0

2 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:

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