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erma4kov [3.2K]
3 years ago
9

Converting mixed numbers to impoper fractions

Mathematics
2 answers:
Oduvanchick [21]3 years ago
5 0
To convert a mixed number to an improper, first, multiply the denominator of the fraction and the whole number of the fraction. Then, add the numerator to the product of the denominator and the whole number.
For example, 3 1/4. Multiply the 3 and 4 to get 12. Then add the one and you get 13. Lastly, take your sum (13 in this case) and put it over the original denominator (4) Your answer is 13/4. Hope that helps :)
Anna007 [38]3 years ago
4 0
Ok so say u have 3 2/4. 3 is ur whole number, 2 is ur numerator, and 4 is ur denominator. First:
2
3 —
4
U multiply 3 and 4 and get 12, now keep 12 in ur head, there is no need to write it down, unless u want too...now u add 12+2 (2 is the numerator) which is 14. So ur whole number and numerator are now gone but ur denominator stays, it’s still 4, and now that ur old numerator is gone u replace it with 14 so u get 14/4. And there is ur improper fraction
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Find the area of a regular pentagon with the apothem of 24.3 cm and a side length of 35.3
steposvetlana [31]

Answer: A=2144\ cm^2

Step-by-step explanation:

For this exercise you need  to use the following formula for calculate the area of regular polygon:

A=\frac{s^2n}{4tan(\frac{180}{n})}

Where is "s" the length of any side, "n" is the number of sides.

Int this case you know that it is regular pentagon, which means that it has five sides. Then you can identify that the values of "n" and "s":

s=35.3cm\\n=5

 Therefore, substituitng values into the formula, you get that the area f the pentagon is:

A=\frac{(35.3cm)^2(5)}{4tan(\frac{180}{5})}\\\\A=2144\ cm^2

8 0
3 years ago
Dylan hikes 90 miles in 3 days. At that rate, how many days does it take him to hike a total of 240 miles?
zysi [14]

Answer:

8 days

Step-by-step explanation:

90/3 = 30 mi/day

240/30 = 8 days

8 0
3 years ago
Read 2 more answers
What THREE integers have a sum of 300?
quester [9]

Answer:

Here we will use algebra to find three consecutive integers whose sum is 300. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 300. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 300

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 300

3X + 3 = 300

3X + 3 - 3 = 300 - 3

3X = 297

3X/3 = 297/3

X = 99

Which means that the first number is 99, the second number is 99 + 1 and the third number is 99 + 2. Therefore, three consecutive integers that add up to 300 are 99, 100, and 101.

99 + 100 + 101 = 300

We know our answer is correct because 99 + 100 + 101 equals 300 as displayed above.

Step-by-step explanation:

8 0
3 years ago
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A toy in a toy shop is in the shape of a triangular pyramid. The area of the base of the toy is 14 square centimeters and it has
Tamiku [17]
I think it’s 84 you multiply 14 and 12 then divide by 2 since it is a triangular prism
8 0
3 years ago
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Explain please, I’ve been having trouble with this question
GuDViN [60]

Step-by-step explanation:

I didn't need the other angles, but right of the bat you can tell it's two right triangles back to back.

<em>y </em> has to be 90° , as you have noticed they already gave you 70° on the right side of the shape meaning if you were to add 90 which is why plus 70 what would that give you? 160.

the total interior for a triangles angles has to be 180°. if you do the math 180 - 160 you get the leftover 20° for x.

I suck at explaining stuff, hope this helps

7 0
2 years ago
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