To elaborate:
To do this problem, we assume that Mr. Sanchez is driving at a constant rate.
According to this information, he has driven 120 mi in 3 hr. To find how much he drives in 5 hr, we first have to find how many mi he drives in 1 hour. To do this, we divide 120 miles by 3 hours, since we assume that he managed to drive an equal amount in each hour.
120/3=40
Therefore Mr. Sanchez drove at a rate of 40 mph.
However, this isn't the final answer. 40 miles is the distance for one hour of driving. To find the distance for 5 hours, we have to multiply the distance by 5 as well.
40 times 5=200
In conclusion, Mr. Sanchez will drive 200 miles in 5 hours.
Answer:
Y-intercept = 13
Step-by-step explanation:
Since, given points are:
(-2,5) and (3,25)
Now, by slope intercept form:
y= mx + b
Here, m= slope and b= y-intercept
In order to find y-intercept, we must find slope firstly:
Since,
Slope= m= y2-y1 / x2-x1
m= 25 - 5 / 3 - (-2)
m= 20 / 5
m= 4
Put ‘m’ in slope intercept form:
y= 4x + b
Substitute either point into above equation:
25= 4(3) +b
25= 12 + b
25 - 12 = b
or b= 25 - 12
b= 13
Hence, y-intercept is 13.
right angles or 90º angles
Answer:
26.2 inches cubed
Step-by-step explanation:
The volume of a cone is denoted by:
, where r is the radius and h is the height.
Here, we are given that the diameter is 5. Remember that the radius is simply 1/2 the diameter, so the radius is r = 5/2 = 2.5. We are also given that the height is h = 4. Plug these into the equation:

≈ 26.2
Thus, the volume is about 26.2 inches cubed.
Hope this helps!