1/3 has the greatest value
Answer:
After 6 months, Casey would pay $360 to join either gym.
Step-by-step explanation:
At the first gym, the cost is $35 per month in addition to a $150 joining fee. So, the equation based on 'x' number of months and a total cost of 'c' is:
c = 35x + 150
At the second gym, the cost is just $60 per month. So, the equation based on 'x' number of months and a total cost of 'c' is:
c = 60x
Since you want to find the number of months 'x' it would take until Casey would pay the same amount to be a member of either gym, you can take the two equations and set them equal to each other:
35x + 150 = 60x
Subtract 35x from both sides: 35x - 35x + 150 = 60x - 35x or 150 = 25x
Divide both sides by 25: 150/25 = 25x/25 or x = 6
So, after 6 months, the cost would be same. The find the cost, replace 'x' with 6 in one of the equations: c = 60(6) = $360.
Answer:
y = 108°
Step-by-step explanation:
Since, line AB is parallel to line CD,
By the definition of corresponding angles,
m∠FPB = m∠FQD
(2x + 16)° = (3x - 12)°
3x - 2x = 16 + 12
x = 28
(3x - 12) = 3(28) - 12
= 72°
m∠FQD + m∠EQD = 180° [Linear pair of angles]
72° + y = 180°
y = 180 - 72
y = 108°
Answer:
<em>Option C. Luigi runs 150 laps in 10 hours
. </em>
Step-by-step explanation:
<u>Unit Rate</u>
We need to match for an option having a unit rate of 15 laps per hour.
To find the required rate, we divide the number of laps by the number of hours.
A. Luigi runs 44 laps in 4 hour
. This gives a unit ratio of 44/4 = 11 laps/hour. This is not the correct option
B. Luigi runs 2 laps in 30 hours. This gives a unit ratio of 2/30 =0.07 laps/hour. This is not the correct option
C. Luigi runs 150 laps in 10 hours
. This gives a unit ratio of 150/10 = 15 laps/hour. This is the correct option
D. Luigi runs 60 laps in 5 hours. This gives a unit ratio of 60/5 = 12 laps/hour. This is not the correct option
Option C. Luigi runs 150 laps in 10 hours
.
