Answer:
3x - 4 1/2 = 19 1/2
Step-by-step explanation:
4 1/2 + 19 1/2 = 3x
24 = 3x
x = 24 ÷ 3
x = 8
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Answer:
y = (3/2)x + 8
Step-by-step explanation:
Hi
First let's find the slope of the given line by converting to slope-intercept form:-
2x + 3y = 9
3y = -2x + 9
y = (-2/3)x + 3
From this we see that the slope is -2/3.
The slope of a line perpendicular to this one will be - 1 / (-2/3)
= 3/2. ( because for a line and its perpendicular, the slopes' product = -1).
Using the point-slope form to find the equation of this line
y - y1 = m(x - x1). Here m = slope and (x1, y1) is a point on the line.
Plugging in the given values , m = 3/2 , x1 = -2 and y1 = 5:-
y - 5 = 3/2 (x - -2)
y - 5 = 3/2x + 3
y = (3/2)x + 8 which is the equation in slope-intercept form.
85! Because there are 128 oz. in a gallon and there are 4 gallons. 128x4=512 divide 512 by 6 and get 85.333 85 is the greatest amount.
Answer: 10.2 mph
Step-by-step explanation:
total runtime of the bike trip: 4hrs, 42 mi total
12 hrs has her 122 mi from home
our rate can be found by taking the miles and dividing it by the hours:
122/12 = 10.2