Answer:
Step-by-step explanation:
5x + 7x - 1/2x + 1/4 = 6
move x to one side move numbers to the other side
5x + 7x - 1/2 x = 6 - 1/4
add x and numbers
23/2x = 23/4
divide both side by 23/2
x = (23/4)/(23/2)
= 1/2
plug it in to check the answer
5/2 + 7/2 - 1/4 + 1/4 = 6
12/2 = 6
We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2.
I would say origin, but it's a hard choice.
Answer:
$23.00
Step-by-step explanation:
The tip amount is $3.00, but the total is $23.00
Pieces of yarn .... 1/8 yard long (each)
a piece of yarn ... n = 3 yards long
remaining ... 1 1/4 yards = 5/4 yards
If you would like to calculate how many 1/8 yard pieces can Sarah cut and still have 1 1/4 yards left, you can do this using the following steps:
n - 1 1/4 = <span>3 - 1 1/4 </span>= 3 - 5/4 = 12/4 - 5/4 = 7/4 = 1 3/4 yards
7/4 / 1/8 = 7/4 * 8/1 = 14 pieces
Result: Sarah can cut 14 1/8 yard pieces and still have 1 1/4 yards left.
