Answer:
194 miles
Step-by-step explanation:
The base fee of $15.99 is going to have to be paid, whether any miles are put on the truck or not. If the number of miles driven is our unknown, if we rent the truck for the base fee of $15.99 and drive it 0 miles, we still have to pay the $15.99. If we do drive it and we have to pay .92 a mile, the expression for that is .92x, where x is the number of miles driven (it is also the variable we are solving for!). The expression for this total cost is .92x + 15.99, and since we paid a total of $194.47, we set our cost equation equal to that number and solve for x:
.92x + 15.99 = 194.47 and
.92x = 178.48 so
x = 194 miles driven
5/6 of an hour is 50 min. So 50 times 3 equals 150 min for reading. 3/4 of an hour is 45 min. 45 times 2 equals 90 min for science. And 1/2 of an hour is 30 min. So 30 times 4 equals 120 mins for math. Add 150,90, and 120 min all together and you get 360 mins total. Divide 360 by 60, and you get 6 hours total that Michaela spent on reading, math, and science. Not 2 1/2.
Heya !
Using a theoram about triangles ,
Given a triangle ∆ABC, the sum of the lengths of any two sides of the triangle is greater than the length of the third side ,
Also , the length of third side always greater than absolute difference of the other two sides ,
Let the third side be x ,
So , x < 9 + 8 and x > 9 - 8
x < 17 and x > 1
Hence , x ∈ [ 2 , 17 ] inch.
Above case is true for any triangle , be it scalene , Isosceles , Right-angled ...
As , for Isosceles , the third side can be 8 or 9 inches ,
For scalene , all values in the above range satusfies ,
For right angled triangle , we have 2 cases ,
Case 1 : Third side is the hypotenuse
Then , x = √(9²+8²) = √145 = 12.0415 inch.
Case 2 : Third side is not the hypotenuse
Then , x = √(9²-8²) = √17 = 4.1231 inch.
Hope it helps you ! :)
The y-value changes sign when a point is reflected across the x-axis. The reflected point is (-3, -7).
First, find the slope of this line, if possible. Recall that slope = m = rise / run.
We see that x does not change:
the distance from 2 to 2 is 0, and thus the slope of this line would be undefined, due to division by zero. Thus, the line is vertical. if it passes thru (2,3), then the equation of the line can be taken to be x=2.
