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3 years ago

Simplify y5 x y3 divided by y2

1 answer:

6 0

In your laws of indices, when multplying numbers of the same base, you add their indices and when dividing you subtract. Therfore:
$\frac{y^{5} *y^{3}}{ y^{2} } = \frac{ y^{8} }{ y^{2} } = y^{6}$

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Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at a rate of 65

koban [17]

Answer:

time = 1 hour 24 minutes

Step-by-step explanation:

Given that:

Eastbound train travels at a rate of 65 miles per hour

Westbound train travels at a rate of 85 miles per hour

So speed = 65 + 85 = 150 miles per hour

Total distance = 210 miles

We have to find the time

We know that

Distance = time * speed

time = distance / speed

time = 210/150

time = 1.4 hours

Or it can be written as:

time = 1 hour 24 minutes

i hope it will help you!

6 0

3 years ago

Heyy!!

rosijanka [135]

<u>Answer:</u>

$6^{10}$

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

We can use the following rule of surds to solve the problem:

$\boxed{a^m \times a^n = a^{m + n}}$ ,

which means that when multiplying two numbers with the same bases, we can simply add their powers while keeping the base the same.

Applying this rule:

$6^2 \times 6^8$

⇒ $6^{2 + 8}$

⇒ $\bf 6^{10}$

8 0

2 years ago

The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72

Brut [27]

Answer:

The maximum number of songs that the symphonic choir can record is 14

Step-by-step explanation:

Let

x ----> the number of songs of the symphonic choir

we know that

The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes

The inequality that represent this situation is

$3(7)+3.5(x)\leq 72$