Answer:
<h2>
x + 3y = 7 </h2>
Step-by-step explanation:
The equation of a line which passes through <em>(x₁, y₁)</em> and with slope of <em>m</em> in point-slope form:
y - y₁ = m(x - x₁)
m = -¹/₃
(1, 2) ⇒ x₁ = 1, y₁ = 2
Therefore, the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:
y - 2 = -¹/₃(x - 1)
y - 2 = -¹/₃x + ¹/₃ {add ¹/₃x to both sides}
¹/₃x + y - 2 = ¹/₃ {add 2 to both sides}
¹/₃x + y = 2¹/₃ {multiply both sides by 3}
x + 3y = 7
Answer:
75 degrees
Step-by-step explanation:
I know the measure of the triangle's third angle is 75 degrees because all the angles of a triangle add up to 180 degrees. So, I did 180-62-43 and got 75. So, in order for this triangle to be true, the third triangle would have to be 75 degrees.
To check: 43 degrees+ 62 degrees+ 75 degrees = 180 degrees.
Answer: x=2
Step-by-step explanation:
23. You are expected to be familiar with the relationship
... cost + markup = selling price
a) cost + $23.99 = $119.95
... cost = $119.95 -23.99 = $95.96
b) The markup as a fraction of cost is
... markup/cost = $23.99/$95.96 = 0.25 = 25%
c) cost + markup = selling price . . . . the equation we started with
... cost/cost + markup/cost = (selling price)/cost . . . . divide by cost
... 100% + 25% = (selling price)/cost = 125%
25.
a) See part c) of problem 23. Selling price is 126% of cost.
b) Selling price = $450 × 1.26 = $567
c) Markup = $450 × 0.26 = $117
Answer:
4,500
Step-by-step explanation:
To find the number of students majoring in economics, you must turn 90% into a decimal making it .9.
Then you multiply the decimal to how many students there are (5000x.9) and that gives you 4,500.
