The Area of a rectangular patio is 5 5/8 square yards,and it's length is 1 1/2 yards.What is the patio's width,in yards?

1 answer:

8 0

Take both mixed numbers (a whole number plus a fraction) and turn them into improper fractions ( a numerator (top number) bigger than the denominator (bottom number). To do this, multiply the denominator by the whole number, and add the result to the numerator.
5 5/8 will become 45/8
1 1/2 will become 3/2.
Area is length* width, so width would be Area/ length. So 45/8 is the area and 3/2 is the length. Now you have (45/8)/(3/2). To divide fractions, take the second fraction and flip the numerator and denominator, forming the reciprocal (2/3). Now multiply 45/8 and 2/3
The result is 90/24, and simplifying would get 15/4, or 3 3/4. This is the width(or length)

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3/8=a/2= 15/b<br>find a and b

Studentka2010 [4]

Answer:

Step-by-step explanation

$\frac{3}{8}=\frac{a}{2}\\\\\frac{3}{8}*2=a\\\\a=\frac{3}{4}\\\\\\\frac{3}{8}=\frac{15}{b}\\\\ 3*b=15*8\\\\b=\frac{15*8}{3}\\\\b=5*8\\\\b=40$

7 0

2 years ago

Read 2 more answers

a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip

7nadin3 [17]

Well, you could assign a letter to each piece of luggage like so...

A, B, C, D, E, F, G

What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.

My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

210 arrangements (35 x 6) when order is taken into consideration.

*There are 6 ways to configure 3 letters.

Alternative way to solve the problem...

Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.