We use the formule: t=S/v. So:
+ t1= 160/100 = 8/5 hrs = 5760''
+ t2= 160/90 = 16/9 hrs = 6400''
=> t2-t1= 6400 - 5760 = 640'' = 10'40''
5 is the answer because it is a full number
Answer:
32.5%
Step-by-step explanation:
first we will have to calculate how much miles the car traveled, to do that we will multiply the speed by hour long the car was traveling for which is
65*3=195
During those 195 miles the car used 1 gallon for every 30 miles which means it used 6.5 gallons of its tank
195/30=6.5
6.5 gallons is 32.5% of 20 gallons
6.5/20=0.325
0.325 * 100 = 32.5%
Answer:
m∠M = 79°
m∠N = 66°
Step-by-step explanation:
∠MPN is supplementary to ∠MPQ, so m∠MPN = 35
The sum of the measures of a triangle is 180.
So, m∠M + m∠N + m∠MPN = 180
5y + 4 + 4y + 6 + 35 = 180
9y + 45 = 180
9y = 135
y = 15
m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79
m∠N = 4y + 6 = 4(15) + 6 = 66
Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.
That means 5y + 4 + 4y + 6 = 145
9y + 10 = 145
9y = 135
y = 15
From knowing the value of y you can now find the measures of angles M and N
