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Leokris [45]
3 years ago
8

Question 4 5 pts For the equation: -k - 4k = 3 (k – 10) - 6 (k - 6), what is the value of k?​

Mathematics
1 answer:
Alla [95]3 years ago
3 0
<h2>Answer:</h2>

<em>K </em>= -3

<h2>Step-by-step explanation:</h2>

1. Simplify <em>-k-4k to -5k</em>

-5k=3(k-10)-6(k-6)

2. Distribute Parentheses/Expand

-5k=3k-30-6k+36

3.Simplify 3k-30-6k+36 to -3k +6

-5k=-3k+6

4. Add 3k to both sides

-5k+3k=6

5. Simplify -5k+3k to -2k

-2k=6

6. Divide both sides by -2

k=-6/2

7. Simplify 6/2 to 3

k=-3

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iogann1982 [59]
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Soo, the rational number is 
the √49 

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8 0
3 years ago
Read 2 more answers
Write 2.4 x 10 to the power of -3 in standard form
fomenos

Answer:

Step-by-step explanation:

2.4 \times10^{-3}=\frac{24}{10} \times \frac{1}{10^3} =\frac{24}{10^4} =\frac{24}{10000} =0.0024

6 0
3 years ago
Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels
GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}

Cross multiply

350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200

Divide both sides by 210

\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph

4 0
2 years ago
Mathematics because I’m good at math
Reil [10]
Rate this comment for 5 stars pls
4 0
3 years ago
Read 2 more answers
What is the value of x?<br><br> 6(−3−x)−2x=14<br><br> Enter your answer in the box.
olchik [2.2K]
For this we would first simplify using order of operations.
6(-3-x) - 2x = 14 ------> Distribute
-18 -6x - 2x = 14 ------> Combine Like Terms
-8x - 18 = 14 Now we want to isolate x!
-8x - 18 = 14 ------> Add 18 to both sides.
-8x = 32 ------> Divide both sides by -8.
x = -4
Hope this helps!
8 0
3 years ago
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