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3 years ago

Which expression is equivalent to (4x^3y^5)(3x^5y)^2 ?

Mathematics

1 answer:

barxatty [35]3 years ago

3 0

(3x^5y)^2=

3^2=9

(x^5)^2=x^10

y^2=y^2

(3x^5y)^2=9x^10y^2

9x^10y^2(4x^3y^5)=

9*4=36

x^10*x^3=x^13

y^2*y^5=y^7

9x^19y^2(4x^3y^5)= 36x^13y^7

Final answer: 36x^13y^7

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Two business partners, Alan and Rob, invested money in their business at a ratio of 6 to 7. Bob invested the greater amount. The

Verdich [7]

Answer:

180 Alan, 210 Rob

Step-by-step explanation:

6+7= 13

390÷13= 30

30×6=180 =Alan

30××7=210 =Rob

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3 years ago

A cement walkway of uniform width has been built around an in-ground rectangular pool. the area of the walkway is 1344 square fe

Elza [17]

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

Length of the Larger Rectangle =80+2w
Width of the Larger Rectangle =20+2w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

$1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.$

6 0

3 years ago

Find the 79th term of the following arithmetic sequence. 5,11, 17, 23...

NikAS [45]

Answer:

the answer is 479.

Step-by-step explanation:

to make it simpler, pretend you start from 1. 1,7,so on. multiply six by 79, to get 474. but because you are starting from 5 and not 1, you have to add 5 on.

sorry im super bad at math so this might be wrong

4 0

3 years ago

Read 2 more answers

Three times the sum of a number and two is equal to -9.

Svetllana [295]

Answer:

Step-by-step explanation:

use a equation calculator it really helps

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3 years ago

What number is six and four hundredths larger than two and five tenths?

Nostrana [21]

Answer:

eight and thirty-seven fiftyths

Step-by-step explanation:

6 and 4/100 + 2 and 5/10

6 and 1/25 + 2 and 1/2

156 / 25 + 5 / 2

312 / 50 + 125 / 50

437 / 50

400 / 50 = 8

8 and 37 / 50

7 0

2 years ago