Answer:
2.16666666667 or rounded to 2.17
Step-by-step explanation:
first you have to change the mixed number to an improper fraction which would be 13/6 and then divide the numerator by the denominator
To get from the first number to the second number the equation is 10x0.5+5=10
Thereafter the equation to get to the next number is 10x1.0+10=20
Thereafter the equation to get the next number is 20x1.5+15=45
Thereafter the equation to get the next number is 45x2.0+20=110
You can notice the pattern, the first number is what the last number was, you increase the second number by 0.5 and you increase the third number by 5.
Following this pattern to find the last number you do 110x2.5+25. This equation results in the number 300. Now time for the last number. You input 300x3.0+30. The answer results in 930. Therefore, the missing number is 930.
<span>(a) $7.04
(b) 704/1599
(c) 0.44
(d) 14
(e) $98.56
(a) How much profit does Lucy earn when she sells a necklace?
Since the problem states that her profit is the sale price minus the cost of materials and labor, we have the following equation.
P = $15.99 - $3.38 - $5.57
P = $12.61 - $5.57
P = $7.04
So her profit is $7.04 per necklace.
(b) Write a fraction of the profit per sale price of the necklace. Record your answer as a fraction using whole numbers.
The raw fraction is 7.04/15.99, to get rid of the decimal point, multiply top and bottom by 100, getting 704/1599.
The prime factors of 704 are 2,2,2,2,2,2,11 and the prime factors of 1599 are 3,13,41. Since neither 704, nor 1599 share any common factors, the fraction can't be reduced and the final answer is 704/1599.
(c) What decimal of every dollar of the sale price of the necklace is profit using the fraction from Part (b)?
Pardon the lack of formatting
704/1599 = 0.4403
Rounded to the nearest hundredth gives 0.44
(d) Lucy collected $223.86 selling necklaces at a craft fair. How many necklaces did Lucy sell? Show your work.
This question is asking for total cost. So divide the $223.86 by the sale price of $15.99.
$223.86 / $15.99 = 14
14 necklaces were sold.
(e) How much profit did she earn from the number of necklaces she sold? Show your work.
Since we know from (a) that she has $7.04 profit per necklace, just multiply the amount of profit by the number sold. So
$7.04 * 14 = $98.56</span>
B) sunlight travels through space - there is nothing to bounce off of until it hits an atmophere
We Know, Circumference of Circle = 2πr
Here, r = 18
Substitute it in to the expression,
C = 2π(18) = 36π
So, your final answer is 36π
Hope this helps!
