The answer is 120 days. Canteen A serves every 12 days, canteen B every 8 days, and canteen C every 10 days. To determine when they will all serve food simultaneously again, we need to find the least common multiple of these intervals. The least common multiple of 12, 8, and 10 is 120 days. Therefore, all three canteens will serve soup together again in 120 days.
Answer:
a. Alice
b. Briana
c. 0.51 minutes
Step-by-step explanation:
a. Alice's formula is applicable for any t > 0 minutes, while Briana’s is only applicable when
2t - 1 > 0
2t > 1
t > 1/2 minutes
b. They complete the race when their total distance equals 5 kilometers. For Alice:
t/4 = 5
t = 20 minutes
For Briana:
√(2t - 1) = 5
2t - 1 = 25
2t = 26
t = 13 minutes
c. They reach the same point when they have traveled the same distance, expressed as:
t/4 = √(2t - 1)
(t/4)² = 2t - 1
t²/16 = 2t - 1
t² = 16(2t - 1)
t² = 32t - 16
t² - 32t + 16 = 0
Using the quadratic formula:







Only the second solution fits this scenario because the race concluded before they took 31.49 minutes.
The solution to your inquiry is that there were 88 children. The total number of individuals was 188, the total expenditure amounted to $5040, and there were 12 more adults than there were seniors. The equations can be structured as follows: a + c = 188 (Equation I) and a = c + 12 (Equation II). By substituting Equation II into Equation I, we find that (c + 12) + c = 188, leading to 2c + 12 = 188. Solving for c, we find c = 88.
Response:
The function is represented by the equation,
x = 3y.
Detailed explanation:
The direct variation function includes the points (-9, -3) and (-12, -4).
Here,
= 3
Thus, the function can be expressed as,
x = 3y.
Answer:
Step-by-step explanation:
Andrew's preferred vegetables include cucumbers, green beans, and red peppers.
Samantha had a wide range of musical tastes; such as jazz, classical, hip hop, country, and heavy metal.
Please correct me if I'm mistaken.