1) Which of the following shows the correct steps to find the value of 27 1/3?A) 27 1/3=(9^3)1/3=(9)^3(1/3)=9
B) 27 1/3=(3^9)^1/3=(3)^9(1/3)=3
C) 27 1/3=(3^4)1/2=(3)^4(1/2)=9
D) 27 1/3=(3^3)^1/3=(3)^3(1/3)=3

Answers

Answer 1
Answer: First of all, we need to know: 3^3 = 3 x 3 x 3 = 9 x 3 = 27

So:

(27)^{(1)/(3)} = (3^3)^{(1)/(3)} = (3)^{3* (1)/(3)} = 3^(1) = 3

So, your answer is D.
Answer 2
Answer:

Answer:

The answer is D

Step-by-step explanation:



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What expression is equivalent to 6(5+3x)

Answers

30 + 18x is equivalent to 6(5 + 3x)
This is equivalent because of the distributive property. Multiply 6 by 5 and 3x to get your answer!

Is 8/10 equivalent to 4/5

Answers

yes  8/10 is equivalent to 4/5 or 16/20 ...
Yes it is equivalent

Suppose you plan to purchase 10 items that each cost 4.45. Explain how you use mental math to to find the cost of 10 items

Answers

Answer:

44.5

Step-by-step explanation:

Multiplying 10 with 4.45 using mental math to find the total cost of 10 items. first multiply 0 with 445 which will yield 000, then multiply 1 with 445 which will yield 445 now put a cross beneath last 0 in 000 and write 445 before it and perform addition which will yield 4450 as the decimal was initially was before the second last digit in 4.45, place it accordingly in 4450 which will yield 44.5.

$16 for 2 tickets; $40 for 5 tickets

Answers

16:2 and 40:5. These are ratios.

$16 and 2 tickets for the unit rate is 8/1.
$40 and 5 tickets for the unit rate is 8/1
$16 for 2 tickets:
$16/ 2 tickets= $8/ticket.

$40 for 5 tickets:
$40/ 5 tickets= $8/ticket

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In New York State, an observer will usually see the sun rise in the....


Plzz help

Answers

thats a scienece question and the answer is the east because New York is on the east coast, and the sun rises in the east coast and sets in the west coast.

I need to solve for x and y. Any help is greatly appreciated! Thank you!

Answers

x=-3, y=1

Step-by-step explanation:

Given equations are:

2x-3y=-9     Eqn 1

x+y = - 2      Eqn 2

From eqn 2:

x=-y-2

Putting x=-y-2 in eqn 1

2(-y-2)-3y=-9\n-2y+4-3y=-9\n-5y-4=-9\nAdding\ 4\ on\ both\ sides\n-5y-4+4=-9+4\n-5y=-5\nDividing\ both\ sides\ by\ -5(-5y)/(-5)=(-5)/(-5)\ny=1\nPutting\ y=1\ in\ eqn\ 2\nx+1=-2\nSubtracting\ 1\ from\ both\ sides\nx+1-1=-2-1\nx=-3

Hence,

x=-3, y=1

Keywords: Linear equations, Variables

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