Answer:
5494
Step-by-step explanation:
Assuming all members of each set registered, the total number is ...
2(2697) +3(29) +4(2) +5(1) = 5494
__
Since you're concerned with order of operations, perhaps you want to see the working out.
= 5394 + 87 +8 +5 . . . . perform all the multiplications
= 5481 +8 +5 . . . . . . . . . perform addition left to right
= 5489 +5
= 5494
search up on google volume of a cone and type in your numbers and it will show you the answers
Answer:
B)
.
Step-by-step explanation:
The vertex form of the equation is given by
.
We plug in the vertex to obtain:
.
Since the graph passes through (5,5) and (9,5), they must satisfy its equation.
.
.

Divide both sides by 4.

Therefore the equation is:
.
Answer:
60 minutes for the larger hose to fill the swimming pool by itself
Step-by-step explanation:
It is given that,
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.
takes 30 minutes for the larger hose to fill the swimming pool by itself
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
<u>To find LCM of 20 and 30</u>
LCM (20, 30) = 60
<u>To find the efficiency </u>
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
x = 60/30 =2
x + y = 60 /20 = 3
Therefore efficiency of y = (x + y) - x =3 - 2 = 1
so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes