Answer:
It will be less than 2 hours because in total that would be an hour and 30 minutes.
Step-by-step explanation:
We know it takes 18 minutes for him to walk to school, and we also know there is 5 days of a school week, so 18x5= 90 minutes, which equals to an hour and 30 minutes, less than 2 hours in one week.
Part 1
Let:
y be the total cost
x be the number of tickets
a be fair admission
Since the fair charges $1.25 per ticket, the equation of the line would look like:
y = 1.25x + a
Since Johnny spent $43.75 and bought 25 tickets, we find a by replacing y with 43.75 and x with 25:
43.75 = 1.25×25 + a
Now solve for a
43.75 = 31.25 + a
43.75 - 31.25 = a
a = 12.50
Going back to the first equation:
y = 1.25x + 12.50
Part 2:
a) Let (9,8) be (x1,y1) and (4,-12) be (x2,y2)
The formula for slope is:
![m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 12 - 8}{4 - 9} \\ m = \frac{ - 20}{ - 5} \\ m = 4](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B%20-%2012%20-%208%7D%7B4%20-%209%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B%20-%2020%7D%7B%20-%205%7D%20%20%5C%5C%20m%20%3D%204)
b) For the point-slope equation, I'll use (9,8)
Using the formula:
![y - y1 = m(x - x1) \\ y - 8 = 4(x - 9)](https://tex.z-dn.net/?f=y%20-%20y1%20%3D%20m%28x%20-%20x1%29%20%5C%5C%20y%20-%208%20%3D%204%28x%20-%209%29)
c) For the slope-intercept form, we solve for y in the point-slope formula:
Answer:
$3.49 * 3 = $10.47
Step-by-step explanation:
In this parallelogram, by definition angles 2 and 3 are alternate interior and have the same measure, and angle 1 and 37degrees have the same measure. So angle 1 = 37. the other angle inside there that's not marked is supplementary with 63, so it measures 180 - 63 = 117. So angle 3, then, by the Triangle angle-sum theorem measures 180 - 37 - 117 = 26. As stated earlier, angles 2 and 3 are the same, so 2 is also 26. And I think we got them all! 1=37, 2 and 3 = 26.
The midpoint of a segment with endpoints (1,6) and (-3,4) is (-1,5)
hope this helps:)
please mark thanks and brainliest:)