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3 years ago

Which of the following is the correct action to take when simplifying the expression (xy^2)^3

Mathematics

1 answer:

aliya0001 [1]3 years ago

7 0

(xy^2)^3
= x^3y^6

answer
C. apply the cube to both the x and the y^2

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At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?

Natasha2012 [34]

Answer:

see below

Step-by-step explanation:

$11.60 for $5

1. Find the rate.

$11.60 divided by $5= $2.32

2. 1 gemstone= $2.32

Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.

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2 years ago

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2 years ago

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If 10% of x is 30, what is 23% of x A. 33 B. 46 C. 200 D. 230

aliina [53]

Answer:

Step-by-step explanation:

I'm mathematics, the word 'of' transfers into becoming 'times or Multiply'

Therefore, the expression can be rewritten as:

10/100 of x = 30

10x / 100 = 30

Cross Multiply the equation to solve for x

10x = 100 * 30

10x = 3000

x = 3000 / 10

x = 300

(Since we gotten the value of x as 300) let's find 23% of it.

Therefore,

23% of x, ( when x is 300)

= 23/100 * 300

= 23 * 3

= 69

(Well, although that's the workable solution, the option doesn't seen to tally)

Maybe you check the source, but am certain about the Solution.

Let's keep learning, maths is fun !

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2 years ago

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There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller n

Mrrafil [7]

Answer:

Smaller number: 12

Greater number: 31

Step-by-step explanation:

Hi there!

Let x equal to the smaller number.

Let y be equal to the greater number.

1) Translate the information into equations

"One is 7 more than twice the other"

⇒ $y=2x+7$

"The sum of the numbers is 43"

⇒ $x+y=43$

2) Use substitution to solve for the smaller number

$x+y=43$

Plug the equation $y=2x+7$ into the above equation

$x+(2x+7)=43\\x+2x+7=43\\3x+7=43$

Subtract both sides by 7

$3x+7-7=43-7\\3x=36$

Divide both sides by 3 to isolate x

$\frac{3x}{3} = \frac{36}{3} \\x=12$

Therefore, the smaller number equates to 12.

3) Use substitution to solve for the greater number

$x+y=43$

Plug in x as 12

$12+y=43$

Subtract both sides by 12 to isolate y

$12+y-12=43-12\\y=31$

Therefore, the greater number equates to 31.

I hope this helps!

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2 years ago

A small home speaker produces 0.200 ~\text{W}0.200 W of acoustical power. (This is achieved, for example, by a 10-Watt speaker o

Anika [276]

Answer:

i dont speak english

Step-by-step explanation:

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2 years ago