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Romashka-Z-Leto [24]
3 years ago
8

when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at b

irth? how much longer?​
Mathematics
1 answer:
Alborosie3 years ago
5 0
  • <em>Answer:</em>

<em>cousin</em>

<em>1/20 inches</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>cousin</em>

<em>21 4/5 = (21×5+4)/5 = 109/5</em>

<em>friend</em>

<em>21 3/4 = (21×4+3)/4 = 78/4</em>

<em />

<em>lcm(4 ; 5) = 20</em>

<em>⁴⁾109/5 = 436/20 (cousin)</em>

<em>⁵⁾87/4 = 435/20 (friend)</em>

<em>436/20 > 435/20</em>

<em>cousin > friend</em>

<em>436/20 - 435/20 = 1/20 inches longer (cousin)</em>

<em>Good luck !</em>

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Answer: A = 198.6cm²

Step-by-step explanation: The figure includes two semi circles on both ends. These can be solved as a whole circle with a diameter of 10cm because each semi circle is 5cm.

r = 10/2= 5cm

Area of circle:

A = πr²

A = 3.142*5²

A = 3.142*25

A = 78.55

A = 78.6cm²

The remaining section of the shape is a rectangle with a length of 12cm.

To get this, you subtract 10 from 22 because each semi circle is 5cm which adds up to 10cm.

The rectangle has a width of 10cm.

Area of rectangle:

A = lw

A = 12*10 = 120cm²

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A = 120 + 78.6

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Answer:

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

Step-by-step explanation:

There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:

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We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:

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Applying these values on the first equation, we have:

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There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

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