If the ride cost $9 then the miles will be 3 miles.
Step-by-step explanation:
In this question we are given:
Cost of one cab ride R = $3
Additional Cost per mile M = $2
So, Total cost of Cab Ride = $3 + $2M
If cost of cab ride is $9 then we need to find the miles
$3 + $2M = $9
Solving
$2M = $9 - $3
$2M = $6
=> M = $6/$2
M = 3 miles
So, if the ride cost $9 then the miles will be 3 miles.
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Keywords: algebraic expressions, solve an equation
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Answer:
21°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 given angles from 180 for the other angle
other angle = 180° - (90 + 69)° = 180° - 159° = 21°
Answer:
The answer for (a) is at the picture
(b) The vertex is (-2,7)
(c) Yes the parabola open downward
(d) -(x+2)^2+7 the turning point is at (-2,7) since it is where the group curves
Step-by-step explanation:
Answer:
108points
Step-by-step explanation:
Let Caleb score be x and that of Mike be y. If Caleb and Mike both score the same amount of points in a game, then x = y.
The total number of option = x+y
Now, If Caleb has fifteen less than the total number of options, then;
x =(x+y)-15
x -(x+y)+15 = 0
x-x-y = -15
-y = -15
y = 15
Also if Mike has twice the total number of points decreased 201, then;
y = 2(x+y)-201
Since y = 15
15 = 2(x+15)-201
15 = 2x+30-201
15 = 2x-171
2x = 15+171
2x = 186
x = 186/2
x = 93
The total number of points they have altogether is x+y
x+y = 15+93
x+y = 108
Hence the total points that they have altogether is 108points
Answer:
y = 7x/8 - 53/8
Step-by-step explanation:
P(3,-4)
x = -7y/8 + 3
Isolate y and translate to slope-intercept form:
y = mx + b
x = -7y/8 + 3
x - 3 = -7y/8
8x - 24 = -7y
y = -8x/7 - 24/7
The slope of the equation is -8/7
The slope of the new equation will be perpendicular to the slope of the given equation which means it is the negative reciprocal.
y = mx + b where m = -1/(-8/7) = 7/8
y = 7x/8 + b
Plug in know values and solve for b:
-4 = 7(3)/8 + b = 21/8 + b
-4 - 21/8 = b
b = -32/8 -21/8 = -53/8
Plug in b into the equation:
y = 7x/8 - 53/8
