<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>
Answer:
x-intercept=(-1,0) y-intercept =(0,-3)
Step-by-step explanation:
<span>A linear equation is any equation used to define a line. </span>
Answer:
Step-by-step explanation:
(1,-4) is the answer reason why is you add the equations in order to solve for the first variable plug it in the equations in order to solve for the remaining variables
Using simple mathematical operations, the missing values are as follows:
(B) Dijon Mustard: 18g
(C) Barbeque sauce: 70g
- Increased by 5 = 350g
- Increased by 20 = 1,400g
(D) Worcestershire sauce: 10.35g
- Increased by 5 = 51.75g
- Increased by 20 = 207g
(E) Kosher salt: 1.5g
- Increased by 5 = 7.5g
- Increased by 20 = 30g
(F) Ground black pepper: 2.3g
- Increased by 5 = 11.5g
- Increased by 20 = 46g
(G) Crushed red pepper: 1.15g
- Increased by 5 = 5.75g
- Increased by 20 = 23g
<h3>
What do we mean by mathematical operations?</h3>
- A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.
- There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.
- The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.
- We can recall the PEMDAS steps in the following order: Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction (from left to right).
So, we can calculate missing values as follows:
(B) Dijon Mustard: 18g
- Increased by 20 = 18×20 = 360g
(C) Barbeque sauce: 70g
- Increased by 5 = 70×5 = 350g
- Increased by 20 = 70×20 = 1,400g
(D) Worcestershire sauce: 10.35g
- Increased by 5 = 10.35×5 = 51.75g
- Increased by 20 = 10.35×20 = 207g
(E) Kosher salt: 1.5g
- Increased by 5 = 1.5×5 = 7.5g
- Increased by 20 = 1.5×20 = 30g
(F) Ground black pepper: 2.3g
- Increased by 5 = 2.3×5 = 11.5g
- Increased by 20 = 2.3×20 = 46g
(G) Crushed red pepper: 1.15g
- Increased by 5 = 1.15×5 = 5.75g
- Increased by 20 = 1.15×20 = 23g
Therefore, using simple mathematical operations, the missing values are as follows:
(B) Dijon Mustard: 18g
(C) Barbeque sauce: 70g
- Increased by 5 = 350g
- Increased by 20 = 1,400g
(D) Worcestershire sauce: 10.35g
- Increased by 5 = 51.75g
- Increased by 20 = 207g
(E) Kosher salt: 1.5g
- Increased by 5 = 7.5g
- Increased by 20 = 30g
(F) Ground black pepper: 2.3g
- Increased by 5 = 11.5g
- Increased by 20 = 46g
(G) Crushed red pepper: 1.15g
- Increased by 5 = 5.75g
- Increased by 20 = 23g
Know more about mathematical operations here:
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