MATHEMATICS HIGH SCHOOL

Convert 0.27¯¯¯¯¯ to a rational number in simplest form.(1 point) responses 127 start fraction 1 over 27 end fraction 2799 start fraction 27 over 99 end fraction 27100 start fraction 27 over 100 end fraction 311

Answers

Answer 1
Answer:

Answer:

.272727.... = .27/(1 - .01) = .27/.99 = 27/99 = 3/11
Answer 2
Answer:

Final answer:

To convert a repeating decimal to a rational number in simplest form, multiply the decimal by a power of 10 to eliminate the repeating part. Then, divide the result by the appropriate power of 10. For 0.27¯¯¯¯¯, the simplest form is 27/100.

Explanation:

To convert a repeating decimal to a rational number in simplest form, we can use the algebraic technique. Let x be the repeating decimal. Multiply x by a power of 10 so that all the repeating digits are to the left of the decimal point. Subtract x from the result to eliminate the repeating part. Finally, divide the result by the appropriate power of 10 to get the rational number in simplest form.

In this case, 0.27¯¯¯¯¯ is equal to 27¯¯¯¯¯/100¯¯¯¯¯. Now, let's simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 1. The simplified form of 27¯¯¯¯¯/100¯¯¯¯¯ is 27/100.

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A business center is about 3 3/4 times as tall as a monument. The monument is 444 feet tall. About how tall is the business center?

Answers

The business center is 16,665 feet tall.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A business center is about 3 3/4 times as tall as a monument.

Then, the conversion factor= 3 3/4 = 15/4 times

The monument is 444 feet tall.

Now, the business center is 3 3/4 times as tall as a monument.

So, the height of business center

= 444 x 3 3/4

= 444 x 15/4

= 111 x 15

= 16,665 feet

Hence, the businesscenter is 16,665 feet.

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Answer: 1,665

To find the product rewrite 444 and 3 3/4 as fractions: 444 x 3 3/4= 444/1 x 15/4. Multiply 444/1 x 15/4= 6,660/4. Divide 6,660 x 4= 1,665. So the business man is about 6,660/4 or 1,665 feet tall.

The baseball team is ordering hats for the upcoming season. The hat companycharges a certain amount per hat plus an initial fee of $55. There are 14 players on the
baseball team. If there are 14 players on the baseball team and the hat order comes to a
total of $363, how much does each hat cost?

Answers

Each hat cost at least $25.92

4x – 6x combining like terms

Answers

Answer: -2x

Step-by-step explanation: Very easy maths. Just add 4x + -6x, which is -2x. There's your answer.
since both of the X is to the power of one. You can act as if they’re imaginary. do 4 - 6 which equals -2. then your answer would be -2x.

1 inch
7
1
minute
14

Answers

Answer:

  • 2 inches per minute

Step-by-step explanation:

  • (1/7 inch) / (1/14 minute) =
  • (1/7 * 14) inch / minute =
  • 2 inch / minute

Answer:

2 in/min

Step-by-step explanation:

=> (1/7)/(1/14)

=> 1/7 × 14/1

=> 14/7

=> 2 in/min

Select the graph of the solution. Click until the correct graph appears. pls helpx < 4

Answers

Answer:

The correct one is the one on the left.

(the arrow pointing to the left)

A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and dimes are there in the piggy bank?

Answers

the value of the coin times the number of coins all added up equals the total value of the piggy bank
so
0.05n + 0.10d = 5.60

then they have given us "number of nickels is 8 less than 3 times the dimes"
this translates to
n = 3d - 8

we plug this into our first equation and we get
0.05(3d - 8) + 0.10d = 5.60

now we solve for d
first we can distribute the 0.05
0.15d - 0.40 + 0.10d = 5.60

then we can add the 0.15d and 0.10d together
and get
0.25d - 0.40 = 5.60

then we can add 0.40 to both sides
0.25d = 6.00

then divide both sides by 0.25
d = 6.00 / 0.25 = 24
so we have 24 dimes


then to find nickels, we plug in 24 for d into
n = 3d - 8
and get
n = 3(24) - 8
n = 72 - 8
n = 64

therefore we have
64 nickels
and
24 dimes

Answer:

24 dimes

64 nickels

Step-by-step explanation:
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