Answer: the number of ducks in the field is 25
the number of pigs in the field is 9
Step-by-step explanation:
Let x represent the number of ducks in the field.
Let y represent the number of pigs in the field.
A duck has one head and a pig also has one head.
The number of ducks and pigs in a field totals 34. This means that
x + y = 34
The total number of legs among them is 86. Assuming each duck has exactly two legs and each pig has exactly four legs, it means that
2x + 4y = 86 - - - - - - - - - - -- - 1
Substituting x = 34 - y into equation 1, it becomes
2(34 - y) + 4y = 86
68 - 2y + 4y = 86
- 2y + 4y = 86 - 68
2y = 18
y = 18/2 = 9
Substituting y = 9 into x = 34 - y, it becomes
x = 34 - 9 = 25
Answer:
y=x+15
Friend swims 40 minutes
Step-by-step explanation:
We re told that you want to swim 15 minutes <em>longer</em> than your friend. In word problems, longer or more always means addition. This means we will add 15 minutes to your friend's swim time (x) so we can figure out how long you swam (y).
This gives us the equation: y=x+15
Part two:
We know that you swam 55 minutes. This means y=55.
55=y=x+15
55=x+15
Now we want to get x alone, or isolate it. We can do this by subtracting 15 from both sides.
55-15=x+15-15
15-15= 0 and 55-15= 40
40=x
Thus your friend swam 40 minutes
(Remember that whatever you do to one side of the equation, you have to do to the other. If you add 2 to the left hand side, you have to add 2 to the right hand side. If you, like we did above, subtract 15 from the right, you have to subtract 15 from the left too)
Hello here is a solution :
-16/32=8/-16 = -1/2
q= -1/2
<span> the next three terms are : 8×(-1/2) ;(-4)×(-1/2) ;2×(-1/2)
</span>-4 ; 2 ; -1
Step-by-step explanation:
1) for t = 0, the initial value is -0.45 gal. which is funny. when it is really cold, do people add water to the tank somehow instead of consuming water ?
so I guess, that system is really reliable with values greater than 0.
0.0875t = 0.45
t = 5.142857143...°
so, I guess, 6° is the lowest reasonable value for this function.
2) as for any line function, the slope is the rate of change.
so, 0.0875 gal more per 1 degree more in temperature.
3) t = 90
w = 0.0875×90 - 0.45 = 7.425 gal
Answer:
Step-by-step explanation:
i need help on this