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2 years ago

What value of k makes the equation true? (5a^2n^3(6a^kb)=30a^6b^4

Mathematics

1 answer:

lesantik [10]2 years ago

5 0

An equation is formed when two equal expressions. The value of k that makes the equation true is 4.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of k that will make the equation true is,

$5a^2b^3(6a^kb)=30a^6b^4\\\\30\ a^{(2+k)}\ b^{(3+1)} = 30\ a^6\ b^4\\\\30\ a^{(2+k)} \ b^4 = 30\ a^6\ b^4\\\\a^{(2+k)} =a^6\\\\2+k = 6 \\\\ k = 4$

Hence, The value of k that makes the equation true is 4.

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Step-by-step explanation:

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3 years ago

The average of 11 numbers in a list is 14. If the average of 9 of the numbers in the list is 9, than what is the average of the

liberstina [14]

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3 years ago

A jar contains 900 beans. Of them, 700 are white beans and the rest are navy beans. What ratio of white beans to all the beans

Nikolay [14]

Answer:

700/900

Step-by-step explanation:

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The ratio of white beans to all the beans is 700/900 or 700:900

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3 years ago

If LM = 20 cm, and PQ = 16 cm, what is the length of RM, in centimeters?

LuckyWell [14K]

Answer:

RM = 12 cm

Step-by-step explanation:

$a^{2} + b^{2} = c^{2}$

Assuming 20 is the hypotenuse cus there is no picture:

$a^{2} + 16^{2} = 20^{2}$

$a^{2} +256 = 400$

$a^{2} = 144$

$a=144$

If It's not the hypotenuse:

$16^{2}+ 20^{2} =c^{2}$

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$656=c^{2}$

$c = 25.61249695$

But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.

Hope this helped. :0)

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3 years ago

A boat heads south at 120 mph while a steamer heads east at 50 mph. If they started from the same dock and at the same time, whe

Snezhnost [94]

Answer:

1 hour after they leave

Step-by-step explanation:

The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...

√(5²+12²)=√169 = 13

That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.

So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.

8 0

3 years ago

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