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4 years ago

A store offers 20% off all items. If x is the original purchase price, which expression represents the final price

Mathematics

1 answer:

Nikitich [7]4 years ago

7 0

Answer:

0.2x

Step-by-step explanation:

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If the expression $3^1 times 9^2 times 27^3 \times 81^4 is simplified to the form 3^n, what is the value of n?

Darina [25.2K]

Answer:

$n=30$

Step-by-step explanation:

Given expression:

$3^1\times 9^2\times 27^3\times 81^4$

The given expression needs to be simplified to the form $3^n$

Applying the exponents rule to simplify.

$3^1\times 9^2\times 27^3\times 81^4$

Writing all numbers as product of 3.

⇒ $3^1\times (3\times3)^2\times (3\times3\times3)^3\times (3\times3\times3\times3)^4$

Writing each in exponents form.

⇒ $3^1\times (3^2)^2\times (3^3)^3\times (3^4)^4$

Using power of a power rule $[\ (a^x)^y=a^{xy}\ ]$

⇒ $3^1\times 3^4\times 3^9\times 3^16$

Using multiplication rule of exponents $[\ a^x\times a^y=a^{x+y}\ ]$

⇒ $3^{1+4+9+16}$

⇒ $3^{30}$

So we have $3^n=3^{30}$

∴ $n=30$

8 0

3 years ago

Pleaseeeee help 50 points + brainliest mark

natka813 [3]

Answer:

Step-by-step explanation:

3 0

3 years ago

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Quincy, Ralph, Samantha and Teresa all joined a summer reading program. Quincy read five more books than Ralph did. Ralph read h

Dominik [7]

Answer:

Quincy read 9 books.

Step-by-step explanation:

Work backwards. Samantha read three less books than Teresa (11-3=8). Ralph read half as many books as Samantha (8/2 = 4). Quincy read five more books than Ralph (4 + 5 = 9).

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3 years ago

A plane is flying from Albuquerque new Mexico to Austin Texas so far it has flown 161 miles or 23% of the total distance of the

Karo-lina-s [1.5K]

Answer: 700 miles.

Step-by-step explanation:

1. You know that 23% of the total distance of the flight from Albuquerque New Mexico to Austin Texas is 161 miles.

2. Then, keeping that information on mind, you can calculate the total distance of the flight (which you call $x$ ) as following:

$\frac{161miles}{23\%}=\frac{x}{100\%}$

Solve for $x$ . Then, you obtain that the result is:

$x=\frac{161miles*100\%}{23\%}\\x=700miles$

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3 years ago

In the diagram, if KL=10, and MK=2, and JM=6 determine the value of MN. Show your work or explain how you arrived at your answer

kodGreya [7K]

Answer:

Step-by-step explanation:

JM is 6 riiite

and JMN should be an equilateral triangle so

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3 years ago