Answer:
x=9
z=73
Step-by-step explanation:
Angle 107 and 8x+35 are vertical angles, so they are equal
107 = 8x+35
Subtract 35 from each side
107-35 = 8x+35
72 = 8x
Divide by 8
72/8 = 8x/8
9 =x
We also know that 107 and z are supplementary angles since they form a straight line. This means they add to 180 degrees
107+z = 180
Subtract 107 from each side
107-107+z=180-107
z =73
Total distance John drove=450 miles
total time=8 hours
let the number of hours he drove on highway be x, number of hours he drove on turnpike will be (8-x) hours
since
distance=speed*time
distance traveled in highway=50x
distance traveled in turnpike=60(8-x)
thus the total distance will be:
50x+60(8-x)=450
simplifying the above
50x+480-60x=450
-10x=450-480
-10x=-30
thus
x=3 hours
Thus he drove on highway for 3 hours.
I think the answer is C. "He made a place value error when dividing. If he would have divided 1.09 by 8, he would have found the price of each individual pen.
Answer:
3.61 miles
Step-by-step explanation:
Given that:
Length of track = 5/6 of a mile
Number times Mary was able to run around the track = 4 1/3 times
Total miles ran by Mary :
(Equivalent mile of the track * number of times Mary ran around the track)
5/6 of a mile * 4 1/3 times
5/6 * 13/3
= 65 / 18
= 3.611111 miles
Hence, total Number of miles ran by Mary is 3.61 miles
Answer:2
Step-by-step explanation: