Enrolement increased by 30% that means last year=100%
incease of 30%=30+100=130% now
now=182
percent means parts out of 100 so
130%=130/100=13/10
182=13/10 of x (x represents the number last year)
of means multipy so
182=13/10 times x
multiply both sides by 10/13 to clear fraction
182 times 10/13=x=140
140 students last year
A sprint-distance triathlon is often the best way for a new triathlete to have positive experience in their first event. A typical sprint distance event consists of 400 to 500 yards (or meters) of swimming, 12 to 15 miles of cycling and typically a 3.1-mile run. This distance makes completing the event quite manageable for fit and soon-to-be fit athletes.
Answer:
the first option, (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
Step-by-step explanation:
Supplement of 5°
180° - 5° = 175°
Supplement of 161°
180° - 161° = 19°
It would be 1.675 inches away from each corner.
