Answer: 105 miles
Step-by-step explanation:
You can write an equation for this problem and solve it.
32 miles=1/3x-3, where x is equal to the total length of the highway.
35=1/3x, and then you multiply by 3, to get x=105
Answer:
36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes.
Step-by-step explanation:
The roller coaster can accommodate 9 riders every 4 minutes. 36 riders in 16 minutes, 54 riders in 24 minutes, and 72 riders in 32 minutes all follow the common ratio.
Missing information
Take local speed ad 30 mph and express your answer in miles
Answer:
7.5 miles
Step-by-step explanation:
Time for lunch is 1 hour but once will wait for 30 minutes before served and eat.
Out of 1 hour, 30 mins is for service and eating to mean time to get from work to restaurant, to and fro is the other 30 mins
Since 30 mins is for to and fro, then one way direction takes 15 mins.
Speed, s=d/t and distance d=speed*time
Given local speed of 30 mph and time as 15 mins,
To convert minutes to hours, we divide it by 60 hence the distance is
30*15/60=7.5 miles
Therefore, the student can go to a restaurant that is 7.5 miles from the office.
Answer:
(2, -2) and (1,-3)
Step-by-step explanation:
The y-intercept means that the coordinate where the line touches the y-axis. In other words, the y value(-4) when x=0. The result is (0, -4). The y coordinate also can be used to fill c variable of y=mx + c
We have 2 coordinates now, (3, -1) and (0, -4), then we can find out the line equation. We need to find the slope (m), the formula will be:
m= y2-y1 / x2-x1=
m= -4 - (-1) / (0-3)
m= -3/-3= 1
The line equation is:
y= mx + c
y= 1x + (-4)
y= x-4
After you have the equation, you can try to test the point individually to find if any of them fit the equation. You can also draw a line on the graph and see if any point touches the graph.
Red dot is the two point we have, red line is straight line that made from both point, and blue point is the option. As you can see on the graph, the points that touch the line will be (2, -2) and (1,-3)
-2m-9 is the simplified expression