The coefficient of x in the equation of the given line, 3, is its slope. The slope of the perpendicular line is the negatve reciprocal of that, -1/3. You now have the slope and a point on the perpendicular line, so you can write its equation using the point-slope form:
y = m(x -x₁) +y₁
where m is the slope and (x₁, y₁) is the point.
An equation for your perpendicular line is
y = (-1/3)(x -(-1)) -3
y = (-1/3)x -10/3
The slope-intercept form of the equation of the perpendicular line is ...
y = (-1/3)x -10/3
Answer:
- 28 general admission
- 26 student
Step-by-step explanation:
Let g represent the number of general admission tickets sold. Then the revenue is ...
3g +2.50(54-g) = 149
.50g = 14 . . . . . . . . . . . subtract 135
g = 14/.5 = 28 . . general admission tickets sold
54-g = 26 . . . . . student tickets sold
Answer:
c
Step-by-step explanation:
got you g
Let "a number" be represented with the variable x.
Solve the expression by breaking it apart:
"...the sum of four and a number": (x + 4)
"twice of...": 2(
"Twice of the sum of four and a number": 2(x + 4)
2(x + 4) is your answer.
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Answer:
Let F = Fran's income
Let W = Winston's income
Combined income is 80000 ==> F + W = 80000
One quarter of Winston's income is the same as one-sixth of Fran's income ==>
(1/4)*W = (1/6)*F
Multiply the 2nd equation by 12 to clear the fractions
3*W = 2*F
Solve this equation for F
F = (3/2)*W
Substitute this value for F into the 1st equation
(3/2)*W + W = 80000
(5/2)*W = 80000
W = (2/5)*80000 = 32000
So F = 80000 - 32000 = 48000
So Winston earns 32000 and Fran earns 48000
Check: One quarter of Winston's income is 32000/4 = 8000
One sixth of Fran'e income is 48000/6 = 8000
Step-by-step explanation: Hope this helps
