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Pani-rosa [81]
3 years ago
6

Help!!! Simplify (3x^2y^5)^3/(2xy^3)^4 show your work

Mathematics
1 answer:
labwork [276]3 years ago
6 0

Answer:

9/16 x^2y^3

Step-by-step explanation:

(3x^2y^5)^3/(2xy^3)^4

= 3^2 x^6 y^15 / 2^4 x^4 y^12

=9/16 x^(6 - 4) y^(15 - 12)

= 9/16 x^2y^3

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Peter works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. Last month, he worked
Romashka-Z-Leto [24]

Answer:

$10,318.62

Step-by-step explanation:

We have been given that works at Silly's and makes $33.19 an hour. He also collects a 5.3% commission on final weekly sales. If he works over 40 hours during any week, he earns double his hourly wage.

Peter's hourly charges during 1st and 2nd week would be $33.19 and hourly charges during 3rd and 4th week would be 2 times $33.19.

First of all, we will find total hourly income as:

\text{Total hourly income}=\$33.19(30+40)+2\times \$33.19(49+55)

\text{Total hourly income}=\$33.19(70)+\$66.38(104)

\text{Total hourly income}=\$2323.3+\$6903.52

\text{Total hourly income}=\$9226.82

Now, we will find income from commission on sales as:

\text{Income from commission on sales}=\frac{5.3}{100}(4500+5500+3800+6800)

\text{Income from commission on sales}=0.053(20600)

\text{Income from commission on sales}=1091.8

Peter's total earnings is the last month: \$9226.82+\$1091.8=\$10,318.62

Therefore, Peter's total earnings in last month was $10,318.62.

5 0
3 years ago
Lucy made $323 for 17 hours of work.
saveliy_v [14]
19 minutes I think just divide 323 and 17
3 0
3 years ago
Apr 24,8:28:53 AM<br> Find the 98th term of the arithmetic sequence -10,-8, -6, ...
Nata [24]

Answer: 184

Step-by-step explanation:

The nth term of am arithmetic sequence is calculated as:

Nth term= a+(n-1)d

where a = first term

d = common difference

a = -10

d = -8 -(-10) = -8+10 = 2

98th term= a+(n-1)d

= -10 + (98-1)(2)

= -10 + (97×2)

= -10 + 194

= 184

The 98th term of the arithmetic sequence is 184

6 0
3 years ago
Solve the equation -9v-9=-27 for v.
Nikolay [14]

Answer:

v=2

Step-by-step explanation:

-9v-9=-27

add nine to both sides

-9v-9+9=-27+9

simplify

-9v=-18

divide both sides by -9

-9v/-9   -18/-9

simplify y=2

hope this helps :) have a nice day !!

4 0
3 years ago
Read 2 more answers
Help 26-1x6 ASAP hurry
Ronch [10]

Answer: 20

Step-by-step explanation: Lets break down the problem;

You always use multiplication first when solving an expression.

26 - 1 x 6

1 x 6 = 6

26 - 6 = 20

7 0
4 years ago
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