Answer: 10:55
Step-by-step explanation:
Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.
The time the buses will be back at the depot simultaneously will be when:
N(a) * 25mins = N(b) * 35mins
Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.
Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc
Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc
This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.
So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is
at 08:00 + 2:55 = 10:55
Step-by-step explanation:
a. lim(x→2) [g(x) + h(x)]
Use additive property of limits.
= lim(x→2) g(x) + lim(x→2) h(x)
= 0 + 5
= 5
b. lim(x→2) [3 h(x)]
Use multiplication property of limits.
= [lim(x→2) 3] [lim(x→2) h(x)]
= 3 lim(x→2) h(x)
= 3 (5)
= 15
c. lim(x→2) [g(x) h(x)]
Use multiplication property of limits.
= [lim(x→2) g(x)] [lim(x→2) h(x)]
= (0) (5)
= 0
Answer:
The decimal number is 0.964
Step-by-step explanation:
we have
step 1
Multiply each fraction by the whole number
step 2
Convert each fraction in a decimal number
Remember
Move the decimal point to the left as many places as there are zeros in the factor.
Move the decimal point one step to the left (10 has one zero).
Move the decimal point two steps to the left (100 has two zeros)
Move the decimal point three steps to the left (1000 has three zeros)
step 3
Adds the number
Answer:
40 students on each bus
Step-by-step explanation:
If you subtract the 4 students that traveled by car from the total 124 students, you are left with 120 students riding the 3 buses. Then, you would divide 120 by 3. (120 students divided by 3 buses.) 120/3 = 40
Answer:
3(75) + 50C
Step-by-step explanation:
Suppose a school needs to make T-shirts for its 75 members and the ordered printing company charges $3er shirt. This implies that the total amount that will be paid for the shirt without being a colored printing will be :
3(75) ----- Let that be equation (1)
If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1
However, if the ordered printing company charges a $50 fee for each color to be printed on the shirts, therefore, the total number of colors on the shirt will cost $50C --- Let that be equation (2)
here, C represents the total amount of colors in the number of T-shirts
Therefore, the equation showing the relationship between the number of T-shirts ordered and the number of colors can be expressed as the summation of the above two equations:
= 3(75) + 50C
