What is the fraction for 2.3125? Improper fraction form

Answers

Answer 1
Answer:

The fraction equivalent of 2.3125 in improperfraction form is 165/80.

We have,

To convert the decimal 2.3125 into an improper fraction, follow these steps:

- Identify the whole number part:

In this case, the whole number part is 2.

- Determine the fractional part:

The fractional part is the decimal part of the number. In this case, the decimal part is 0.3125.

- Convert the decimal part to a fraction:

To convert the decimal 0.3125 to a fraction, count the number of decimal places, which is four.

Then, write the decimal part over a denominator of 10 raised to the power of the number of decimal places.

0.3125 = 3125/10,000

- Combine the whole number part and the fractional part:

Add the whole number part to the fraction obtained in step 3.

= 2 + 3125/10,000

- Simplify the fraction if possible:

In this case, the fraction 3125/10,000 can be simplified by dividing both the numerator and denominator by 125, which is the greatest common divisor.

= 2 + 3125/10,000

= 2 + (3125 ÷ 125) / (10,000 ÷ 125)

= 2 + 25/80

- Convert the mixed number to an improper fraction:

Multiply the whole number part by the denominator of the fraction and add the numerator.

Place the result over the denominator.

= 2 + 25/80

= (2 x 80 + 25) / 80

= 165/80

Thus,

The fraction equivalent of 2.3125 in improperfraction form is 165/80.

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Answer 2
Answer:

Answer: The answer is 2(5)/(16).

Step-by-step explanation: Step 1. Let's rewrite the decimal number as a fraction with 1 in the denominator: (2.3125)/(1).

Step 2. Multiply to remove 4 decimal places. Here, you multiply top and the bottom by 10⁴=10000: (2.3125)/(1)*(10000)/(10000)=(23125)/(10000).

Step 3. You find the Greatest Common Factor of 23125 and 10000, or if it exists, and reduce the fraction by dividing both numerator and denominator by the GCF=625: Numerator: 23125÷625=37

Denominator: 10000÷625=16.

Last but not least is step 4. Simplify the improper fraction: 2(5)/(16). Now in conclusion: 2.3125=2(5)/(16). I hoped this step-by-step explanation will be helpful! Can you give me brainliest? I will be appreciated! :D


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Solve for x: −3|2x + 6| = −12 A.) x = 1 and x = 5
B.) x = −1 and x = −5
C.) x = −9 and x = 3
D.) No solution

Answers

Since this is an equation involving an absolute value, let 2x + 6 be positive first such that,
 
                            -3(2x + 6) = -12
                                   2x + 6 = 4
                                        2x = -2,     x = -1
Then, let 2x + 6 be negative,
                             -3(-2x - 6) = -12
                                  -2x - 6 = 4
                                        -2x = 10  ;     x = -5
Thus, the answer to this item is letter B. 
-3|2x + 6| = -12 \n|2x+6|=4\n2|x+3|=4\n|x+3|=2\nx+3 =-2 \vee x+3=2\nx=-5 \vee x=-1

The scatter plot shows the number of minutes each of 28 people played a video game and the number of levels each person completed in the video game. Which statement is best supported by the scatter plot? Please help me!!!

Answers

Answer:

28 people played a video game

Step-by-step explanation:

Final answer:

The statement supported by the scatter plot depends on the pattern of the data points. A positive correlation means as playing time increases, so do levels completed, while a negative correlation would mean the opposite. A linear regression model can also be used for a precise interpretation if the data align along a straight line.

Explanation:

The scatter plot, in the context of this question, is a graphical representation showing the relationship between the number of minutes each person played a video game (independent variable, x-axis) and the number of levels each person completed in the video game (dependent variable, y-axis). The best statement that can be made from the scatter plot would depend on the pattern that the data points form.

If the scatter plot shows a positive correlation, this means that as the number of minutes played increases, the number of levels completed also increases. If the plot shows a negative correlation, this means the more minutes played, the lesser the number of levels completed. If there is no discernible pattern in the data, we would say there is no correlation between the time played and levels completed. Furthermore, the strength of these correlations can be assessed based on how close the data points cluster to a theoretical line of best fit.

For a more precise interpretation, we could also look into employing a linear regression model if the data seems to align along a straight line, divining a mathematical relationship between x and y.

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mike saves 20% of every paycheck.His paycheck last week was $1,500.How much money did mike save from that paycheck?

Answers

If Mike saves 20% of every paycheck and his paycheck last week was $1500, you can calculate how much money Mike saved from that paycheck using the following steps:

20% * 1500 = 20/100 * 1500 = 20 * 15 = $300

Result: Mike saved $300 from his last paycheck.

There are 25 gold cards and 25 silver cards in a deck. The gold cards are number 1,3,5,.....49 and the silver cards are numbered 2,4,6,.....50. The cards are thoroughly shuffled and one card is randomly selected.A.) Find the probability of selecting a gold card or a card with a multiple of 10 on it.
B.) Find the probability of selecting a silver card or a card with a multiple of 7 on it.

Answers

A.  There are 25 gold cards, and 5 silver cards with a multiple of 10, so the probability is (25+5)/50=0.6.

B.  There are 25 silver cards and 4 gold cards with a multiple of 7 (7, 21, 35, and 49), so the probability is (25+4)/50=0.58.
Solutions

There are 25 gold cards and 25 silver cards in a deck. The gold cards are number 1,3,5,.....49 and the silver cards are numbered 2,4,6,.....50.  

A. The probability would be (25+5)/50=0.6.

B.we know that there are 25 silver cards and 4 gold cards with a multiple of 7, so the probability would be (25+4)/50=0.58.

Give an example of the sale price of an item and the total cost including sales tax if the tax rate is 5.75% and the item is 25% off.

Answers


you want to buy some shrimp for $100 and you have a coupon for 25% off.  This lets the price drop to $75 for your shrimp.  You go to the cashier and she says the tax is 5.75.  To find the end price you have to multiply .0575 by $75 and then add that to the $75.  You get $79.31 as your final price


You are standing in one big palace where a king and his 5 queens stay. Each queen has 5 rooms. In each room there are 5 big cats. Each big cat has 5 little cats. Each cat has 4 legs.How many legs are there in the palace? Take ur time...

Answers

You = 2

King = 2

5 Queens = 5 X 2 = 10


5 X 5 = 25
There are 25 rooms belonging to Queens. 

25 X 5 = 125
There are 125 big cats. 

125 X 5 = 625
There are 625 little cats. 

625 + 125= 750
There are 750 cats in total. 

750 cats = 750 X 4 = 3000


Total legs = 2 + 2 + 10 + 3000 = 3014
There are 3014 legs in the palace.