<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>
Triangles MNP & MAB are similar (NP//AB & Angle A= Angle N (correspondent) Same for P & B
We know that MA = 67.2 -3.2 = 35.2
Since Triangles MNP & MAB are similar , then we can write the following ratio:
MN/MA=MP/MB or 67.2/35.2 =81.9/x
& x= 43 m
Answer:
1/6
Step-by-step explanation:
The gradient of the line segment is the same as slope
m = (y2-y1)/(x2-x1)
= ( -4 - -5)/( 2 - -4)
= (-4+5)/( 2 +4)
1/6
Answer:
625 cm³ and 64000 cm³
Step-by-step explanation:
Given
x = ![\sqrt[3]{V}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BV%7D)
( cube both sides )
x³ = V
(a)
x = 25 cm , then
V = 25³ = 625 cm³
(b)
x = 40 cm , then
V = 40³ = 64 000 cm³
Answer:
The real numbers are any number that corresponds to a point on the line Real and can be classified into numbers natural, whole, rational and irrational. In other words, any real number is between minus infinity and plus infinity and we can represent it on the real line .
