Answer:
Step-by-step explanation:
3(2 + 4x) = -7 x 2 Distribute the 3
6 + 12x = -14 Subtract 6 from both sides of the equation
12x = -20 Divide both sides by 12
x = 
Divide the top and the bottom of the fraction by 4
x =
Answer:
152
Step-by-step explanation:
Since the measure of angle XYZ is 76 degrees, we know that the measure of XYZ would be twice the amount of the angle measurement due to the square root theorem. In this case 76 times 2 or 76 plus 76 equals 152 degrees. 152 degrees is your final answer.
Answer:
False
Step-by:-step explanation
2 million years
The oldest reliably classified fossils belonging to the genus Homo date back to a little over 2 million years ago. They belong to H. habilis, a type of ancient hominin that scientists classify as the first of our genus, and which may have led to H. erectus, one of our direct ancestors
<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:
Yes
Step-by-step explanation:
That number is irrational because it does not repeat and rational number repeats
