Y - y₁ = m(x - x₁)
y - ¹/₆ = ³/₅(x - 0)
y - ¹/₆ = ³/₅(x) - ³/₅(0)
y - ¹/₆ = ³/₅x - 0
<u> + ¹/₆ + ¹/₆
</u> y = <u><em /></u><em />³/₅x + ¹/₆
y = ³/₅(0) + ¹/₆
y = 0 + ¹/₆
y = ¹/₆
Answer:
Step-by-step explanation:
Let the cost of the Uber ride be represented by y in dollars.
Let the number of miles that the Uber rides be represented by x.
The equation relating x and y is expressed as
y = 2/3x + 4.
This is a slope intercept form equation. The slope is 2/3 and it represents the cost per mile.
The cost of a 21 mile ride will be
Substituting x = 21 into the given equation, it becomes
y = 2/3 × 21 + 4 = 14 + 4 = 18
The 21 mile ride costs $18
Part B) The $46 ride will cost
Substituting y = 46 into the given equation, it becomes
46 = 2x/3 + 4 =
46 - 4 = 2x/3
42 = 2x/3
2x = 42 × 3 = 126
x = 126/2 = 63
The $46 ride will be 63 miles
Answer:
x ≤ 2
Step-by-step explanation:
Isolate the variable, x. Note the ≤ sign, treat it like an equal sign, what you do to one side, you do to the other.
First, subtract 3 and x from both sides:
2x (-x) + 3 (-3) ≤ x (-x) + 5 (-3)
2x - x ≤ 5 - 3
Simplify:
2x - x ≤ 5 - 3
x ≤ 2
x ≤ 2 is your answer.
~
Answer:
We assume, that the number 180 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 180, so we can write it down as 100%=180.
4. We know, that x% equals 483.6 of the output value, so we can write it down as x%=483.6.
5. Now we have two simple equations:
1) 100%=180
2) x%=483.6
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=180/483.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 483.6 is what percent of 180
100%/x%=180/483.6
(100/x)*x=(180/483.6)*x - we multiply both sides of the equation by x
100=0.37220843672457*x - we divide both sides of the equation by (0.37220843672457) to get x
100/0.37220843672457=x
268.66666666667=x
x=268.66666666667
now we have:
483.6 is 268.66666666667% of 180
