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3241004551 [841]
2 years ago
7

Simplify 12 raised to 2/5 into 5 raised to 2/5

Mathematics
2 answers:
ehidna [41]2 years ago
7 0

Answer:

60^2/5

Step-by-step explanation:

2^2/5 × 5^2/5

=(12×5)^2/5

=60^2/5

Stella [2.4K]2 years ago
6 0

\huge\text{Hey there!}


\huge\textsf{12}}^ \mathsf{^ {\dfrac{2}{5}}}\ \huge\boxed{\times}\ \huge\textsf{5}^\mathsf{^ \dfrac{2}{5}}

\huge\boxed{=}\huge\textsf{ 2.70192 }\huge\boxed{\times}\huge\textsf{ 1.903654}

\huge\boxed{= }\huge\textsf{ 60}^\mathsf{\dfrac{2}{5}}

\huge\boxed{\approx}\huge\textsf{ 5.143521}


\huge\text{Therefore, the answer is: \boxed{\textsf{60}^\mathsf{^\dfrac{2}{5}}}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}



~\frak{Amphitrite1040:)}

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Step-by-step explanation and answers:

300 articles at a total cost of $1500:

        $1500 / 300 = $5 / article

Sells 260 articles at a price 20% above this ^ price:

         20% of $5 is $1,   so $5 + $1 = $6

               Then he sells 260 articles at the price of ^ $6

               260 * $6 = $1560

Each of the remaining articles is sold at a price that's 50% of the 260 he sold.

         He sold those for $6,  so he would now sell the last 40 for $3

               From the remaining 40 articles, he makes 40 * $3, or $120

The shopkeeper made $1560 + $120 = $1680,  which is $180 more than he bought them for ($1500)

Therefore, he made a profit percentage of $180 / $1500,  (the amount of profit over the amount spent).

He made a profit percentage, compared to the cost price, of 12%.

3 0
3 years ago
The width x of your iris decreases from 4 millimeters to 2 millimeters when you enter a dark room. How many times greater is the
inysia [295]

Answer:

The area of the Iris is 4 times greater.

Step-by-step explanation:

Firstly, we have to realize that we cannot solve this problem without knowing the radius of the iris. because from the information given, the radius of the iris could well be the size of the galaxy and contract from width of 4mm to 2mm and we wouldn't know!

The average radius of the iris is 6mm, so we take this value.

Now, initially the width of the iris is 4mm, that means the radius of the pupil is:

6mm-4mm=2mm

Therefore it's area A is:

A=\pi r^2=\pi (2)^2=4\pi

When the iris contracts to 2mm, the radius of the pupil becomes:

6mm-2mm=4mm

Then it's area is A:

A=\pi r^2=\pi (4)^2=16\pi

To find how many times greater this final area is than the initial area, we just divide it by the initial area:

\frac{16\pi }{4\pi } =4

This is 4 times greater than the initial area.

3 0
3 years ago
You have 2 types of bread, 3 types of meat, and 2 types of cheese. How many different sandwiches can you make if each sandwich h
Tamiku [17]
You would obviously only be able to create two sandwiches with the given information.
6 0
3 years ago
A manufacturer produces cherry, peppermint, cinnamon, and orange-flavored gum. Each flavor is available with sugar or sugar-free
Semenov [28]

Answer: The total number of different types of labels will the manufacturers have to produce = 24.

Step-by-step explanation:

Given: Choices for flavours = 4

Choices for sugar = 2  {either sugar or sugar free}

Choices for the qunatity = 3

By Fundamental counting principle,

Total number of different types of labels will have to produce = (Choices for flavors) x (Choices for sugar)x (Choices for the quantity )

= 4 x  2x 3

=24

Hence, the total number of different types of labels will the manufacturers have to produce = 24.

4 0
3 years ago
Sally took out a $50,000 life insurance policy. The $50,000 amount of coverage is called the:
olga55 [171]

Answer:

The $50,000 amount of coverage is called the Death benefit or face value.

Step-by-step explanation:

Consider the provided information.

Sally took out a $50,000 life insurance policy.

The face value, or death benefit is the amount of money a life insurance policy would pay upon the insured person's death to the beneficiary.

Hence, the $50,000 amount of coverage is called the Death benefit or face value.

6 0
3 years ago
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