Answer:
The equation to solve the problem is
306 = 249 + x
x = 306 - 249
Hence:
57 students went outside
Step-by-step explanation:
Let the number of students outside be represented by x
Hence:
Number of students in the cafeteria = Number of students inside - Number of students who went outside
We are told:
There were 306 students in the cafeteria. After some went outside, there were 249 students left in the cafeteria.
The equation to solve the problem is given as:
306 = 249 + x
x = 306 - 249
Hence:
x = 57
57 students went outside
Answer:
The rate at which both of them are moving apart is 4.9761 ft/sec.
Step-by-step explanation:
Given:
Rate at which the woman is walking,
= 3 ft/sec
Rate at which the man is walking,
= 2 ft/sec
Collective rate of both,
= 5 ft/sec
Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min
Now,
Distance traveled by man and woman are
and
ft respectively.
⇒ 
⇒ 
As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate
.
Lets calculate h.
Applying Pythagoras formula.
⇒
⇒ 
Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.
Differentiating with respect to time.
⇒ 
⇒ 
⇒
...as 
⇒ Plugging the values.
⇒
...as
ft/sec
⇒
ft/sec
So the rate from which man and woman moving apart is 4.9761 ft/sec.
Answer: 60 hours
(I'll help you with the first one only because you need to learn this)
Step-by-step explanation: 36 divided by 3 is 12 and 720 divided by 12 is 60
Answer:
a. There are 48 angelfish.
b. There are 36 goldfish.
Step-by-step explanation:
the ration of clownfish to angelfish is 5:4 and there are 60 clownfish.
60:? 5x=60 x=12 12(4)=48
60:48 there are 48 angelfish
the ration of angelfish to goldfish is 4:3 and know we know there are 48 angelfish
48:? 4x=48 x=12 12(3)=36
48:36 there are 36 goldfish