Answer:
The number is 9.
Step-by-step explanation:
Lets write this as an equation first. We'll substitute the number for the variable <em>x</em>.
80 - 3x = 5x + 8
First, let's add 3x to both sides.
80 - 3x + 3x = 5x + 3x + 8
80 = 8x + 8
Next, let's subtract 8 from both sides.
80 - 8 = 8x + 8 - 8
72 = 8x
Finally, let's divide both sides by 8.
72/8 = 8x/8
9 = x
<em>"x" is 9.</em>
<em>So the secret number is 9.</em>
P.S.
This is my first answer to a Brainly question so please don't complain!
Answer:
y = 10m
Step-by-step explanation:
<u>Step 1: Rewrite</u>
y = centimeters
y = millimeters * 10
y = 10m
Answer: y = 10m
<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:
y = 3x - 14
Step-by-step explanation:
Perpendicular lines will have a opposite reciprocal slope, so the slope will be 3.
Plug in the slope and given point into y = mx + b, then solve for b:
y = mx + b
4 = 3(6) + b
4 = 18 + b
-14 = b
Plug in the slope and y intercept into y = mx + b
y = 3x - 14
So, the equation of the line is y = 3x - 14
Answer: 7
Step-by-step explanation:
Hope this helps!
