Answer: The value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6
Step-by-step explanation:
Since we have given that
y varies directly as x.
If y = 18, when x = 5.
So, we need to find the value of y when x is 11.
According to question, we get that

Hence, the value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6
Answer:
24
Step-by-step explanation:
what is the smallest number which is a multiple of both 8 and 12? so, an multiple of 8 must have 2 as a factor at least 3 times. Similarly, multiples of 12 have at least two 2's and one 3. so we need 2x2x2x3 or 24 if every factor is to be included.
I'm not the best at explaining but you can search google to get the better Idea.
(btw this is for the fist question)
Answer:
a = 12m
Step-by-step explanation:
In order to solve this problem we will need to know the Pythagoras theorem that states that in a right angled triangle the square of the hypotenuse (the side opposite to the right angel) is equal to the sum of the squares of the other two sides. This theorem can be written as an equation....

Now we can see that we can easily find the missing value by using this theorem. We just have to substitute the values. And we get the following







Answer:
53.33 mph
Step-by-step explanation:
Speed is the rate of change of distance with time. Mathematically,
speed = distance/time
and is measured in miles per hour or meter per second.
To get the average speed over the entire trip, we must get the total time spent on trip and the total distance, then apply the speed formula
Time for the first 300 miles
= 300/60
= 5 hours
Time spent on the last 100
= 100/40
= 2.5 hours
Total time of the trip = 5 + 2.5
= 7.5 hours
Total distance covered
= 300 miles + 100 miles
= 400 miles
Average speed on the trip
= 400/7.5
= 53.33 miles per hour