The equation that would best describe the situation would be the first option. To solve this question, simply break down the question into sections and then use variables X and y to represent each of the things asked for in the problem. We know the following:
X = no of tetra fish
Y = no of goldfish
If there is twice as much goldfish than tetra fish, then it would be 2y.
X = 2Y.
Then knowing what X and y represent, find the equation that gives the total cost of fish he bought, knowing that 1.50 is for a goldfish and 2.00 is for a tetra fish.
Answer:
x ^2+
y^
2
=
25
Step-by-step explanation:
Square both sides:
r
^2
=
5^
2
Substitute x
^2
+
y^
2 for r
^2
:
x
^2+
y
^2
=
5
^2
Insert the center -0 into the x and y terms:
(
x
−
0
)^
2
+
(
y
−
0
)
^2
=
5
^2
This is the standard form for a circle whose center is (
0,
0
) and the radius is 5.
Answer:
Airspeed in still air: 140 mph
Step-by-step explanation:
Let s represent the speed in still air. Recognize that the distance traveled is the same in either direction.
Also note that SF is north of LA.
Distance to SF from LA = Distance to LA from SF
(s-20)(mph)(4 hr) = (s+20)(mph)(3 hr)
Then:
4s - 80 = 3s + 60 => s = 60 + 80 + 140 (mph)
The airspeed of the plane was 140 mph in still air. With a tail wind, the plane is faster; with a headwind, slower.
Speed is given by the distance traveled divided by the time spent.
The net speed with which the plane traveled against the wind is given by

while the speed with which the plane travelled in the return trip is given by
Let the speed of the plane be v and the speed of the wind be w, then when the plane was traveling against the sun, we have, v - w = 168.57 and when the plane is travelling in the direction of the wind, we have, v + w = 236.
Subtracting the first equation from the second equation, we have: 2w = 236 - 168.57 = 67.43
Thus, w = 67.43 / 2 = 33.715
Therefore, the speed of the wind is approximately 33.7 mi/hr.
26.8 units
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
13.4 units
17.9 units
26.8 units
40.0 units