Answer:
a) 
ways
b) 
ways
c) 
ways
Step-by-step explanation:
Combinatory means combination or arrangement of different elements.
If we have n total elements and we want to find in how many ways we can select x we can use this general formula:
Where 
a. How many different ways can four pieces be selected from the 12 colored pieces?
For this case we have:
ways
b. How many different ways can two orange pieces be selected from five orange pieces?
For this case we have:
ways
c. How many different ways can two brown pieces be selected from seven brown pieces?
For this case we have:
ways
Convert "3/4 ton" into pounds. Use the identity 2000 lb = 1 ton.
2000 lb 1500 lb
Then [(3/4) ton] * ---------------- = ----------------
1 ton 1
Now divide 1500 lb by 4 lb 14 oz. Note that 4 lb 14 oz = 4 14/16 lb, or
4 7/8 lb, or 4.875 lb.
Then, divide 1500 lb by
4.875 lb
------------ to determine the number of bricks the truck can safely carry.
1 brick
This comes out to 1500/4.875 bricks, or approx. 307 bricks.
Answer:
Step-by-step explanation:
<em>Standard form</em>, also called <em>scientific notation</em>, is a more compact way of writing very big or very small numbers. All numbers in scientific notation have the form
where m is a number between 1 and 10, and b is an integer that represents how we've shifted the decimal point from the original number. For example, the number 23,000 in standard form would be written as 2.3 × 10⁴, since we have to shift the decimal point 4 places to the right to get back our original number.
We can turn 5,976,000,000,000,000,000,000,000 into a number between 1 and 10 by shifting the decimal 24 places to the left, giving us 5.976. We'll save that 24 as the exponent for our 10, giving us the final form
2 1/2= 5/2
3 1/4= 13/4
5/2•13/4= 65/8 or 8/18
Hope this helped!
Answer:
$10.10
Step-by-step explanation:
