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2 years ago

5

ASAP what is the answer 8q=64. also can you explain how to do this

1 answer:

vitfil [10]2 years ago

4 0

You divide by 8 on both sides of the equal(=) sign to find what q is. 64\8=8. 8q/8 =canceled out. leaving you with ur answer which is q=8. hope this helped <3

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Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr

Mnenie [13.5K]

Answer:

You can use A and B systems

Step-by-step explanation:

Lets call z the total speed of the boat. If the boat goes against the current, then, the current will drop the boat natural speed, and therefore z is obtained from substracting y from the rate of the boat on still water, x. Thus, z = x-y. If The boat goes in favor of the current, then the current will raise the speed, and we obtain z by adding y to x. If we want to calculate x and y, we know that:

On the first trip, z = x-y, and it took 6 hours to finish the 120 mile trip, therefore 6z = 120, or equivalently, 6(x-y)=120

On the return trip, z = x+y, and it took 5 hours to finish the trip, so we have 5z = 5(x+y) = 120.

Thus, in order so solve the problem, we can use system A and B.

Note that system A is equivalent to the equation x-y = 20, obtained by dididing everything by 6. If we divide by 5 the second equation we obtain that x+y = 24. We have

x-y = 20
x+y = 24

By summing this equations it follows that 2x = 44, therefore x = 22. Since x-y = 20, we obtain that y = 2.

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3 years ago

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What are the first five terms of the recursive sequence

Sedaia [141]

Answer: Choice D

9, 30, 93, 282, 849

============================================================

Explanation:

The notation $a_1 = 9$ tells us that the first term is 9

The notation $a_n = 3*(a_{n-1})+3$ says that we multiply the (n-1)st term by 3, then add on 3 to get the nth term $a_n$

So if we wanted the second term for instance, then we'd say

$a_n = 3*(a_{n-1})+3\\\\a_2 = 3*(a_{2-1})+3\\\\a_2 = 3*(a_{1})+3\\\\a_2 = 3*(9)+3\\\\a_2 = 27+3\\\\a_2 = 30\\\\$

If we want the third term, then,

$a_n = 3*(a_{n-1})+3\\\\a_3 = 3*(a_{3-1})+3\\\\a_3 = 3*(a_{2})+3\\\\a_3 = 3*(30)+3\\\\a_3 = 90+3\\\\a_3 = 93\\\\$

and so on.

The terms so far are: 9, 30, 93

You should find the fourth and fifth terms are 282 and 849 respectively if you keep this pattern going.

Therefore, the answer is choice D

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3 years ago

Solve using polynomial equations by factoring and using the principle of zero product.

QveST [7]

Here x^3-27=0 can be written as
x^3=27 and it also can be,
x^3=3^3
then on comparing both we got ,
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3 years ago

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noname [10]

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Answer:

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Step-by-step explanation:

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