Answer:
1/6 ton of fish is provided during the night feeding.
Step-by-step explanation:
The fish consumed in the morning is 
tons, and the amount of fish served in the afternoon is 
greater than in the morning. This means
Let’s represent the quantity of fish given at night as 
, and if the total fish fed throughout the day equals 
, we have
By summing the numerators on the left side, we derive:
and subtracting 
from both sides allows us to isolate 
Since 
, we derive
The common denominator for the fractions is 6; hence, we write the equation in the form
and simplifying the numerators results in:
which indicates the amount of tons fed during the night feeding.
Response
The first diagram displays angles 1 and 2 as vertical angles.
Clarification
In all four diagrams, the initial one illustrates the vertically opposite angles.
Angles 1 and 2 are classified as vertically opposite because they face each other.
These angles maintain equal measurement when two lines intersect, resulting in four angles where two pairs of vertically opposite angles are formed.
In contrast, all other figures depict angles 1 and 2 as adjacent angles.
Answer: a) 1791 seconds
b) 29701 seconds
Step-by-step breakdown:
1 US gallon = 0.134 cubic feet
It takes 20 seconds to fill a 2-gallon watering can with the garden hose. Converting 2 gallons into cubic feet results in
2 × 0.134 = 0.268 cubic feet
a) The inflatable pool has dimensions of 3 feet wide, 8 feet long, and 1 foot deep.
Volume = 3 × 8 × 1 = 24 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 24 cubic feet = (24 × 20)/0.268
= 1791 seconds
b) The formula for the volume of a cylinder is πr²h
Diameter = 13 feet
Radius = diameter/2 = 13/2 = 6.5
The circular pool's volume calculates to
3.14 × 6.5² × 3 = 397.995 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 397.995 cubic feet = (397.995 × 20)/0.268
= 29701 seconds
The solution for y is y = \frac{a}{3(3 + x)}
Answer:
The correct choice is option D.
Detailed explanation:
Any fraction where m > n can be represented as a/b
where a = quotient
b = remainder.
The specified number is given as m/n.
3)4( 1 ← quotient
- 3
____
1 ← remainder
In this case, quotient= 1, remainder=1, and n=3.
.
