Answer:
Let us assume the total number of students surveyed = x
Then
Number of students preferring red = x/4
Number of students preferring blue = x/8
Then
Number of students remaining = x - [(x/4) + (x/8)]
=x - [(2x + x)/8)
= x - (3x/8)
= (8x - 3x)/8
= 5x/8
Number of students preferring the color green = (3/5) * (5x/8)
= 3x/8
We also know that the total number of students preferring the color green is 15
So
3x/8 = 15
3x = 15 * 8
x = (15 * 8)/3
= 5 * 8
= 40
So in total 40 students were surveyed. I hope the procedure is clear to you.
Step-by-step explanation:
The “c” pounds is a bit off putting if he only bought a pound. 2 pounds of Cashews would cost $9.98
The constant term is 7. this is because x and y are unknowns and change depending on the other. As 6x^3y will change depending on what x or y is so will: 8x^2 and 5x therefore 7 is the constant term.
Answer:
30 miles
Step-by-step explanation:
We know
D = RT
Where
D is the distance
R is the rate
T is the time
<u>Towards Island:</u>
R = 15
Let time be x
So, we can write:
D = 15x
<u>Return from Island:</u>
R = 10
Let time be y
So, we can write:
D = 10y
Also, total time is 5 hours, so we can write:
x + y = 5 [equation 2]
Now, since the distance for both legs of the journey is equal, we can write:
Distance 1 = Distance 2
15x = 10y
Now we replace this equation with equation 2, so we get:
Equation 2: x + y = 5 or x = 5 - y
15x = 10y
15(5 - y) = 10y
75 - 15y = 10y
75 = 25y
y = 75/25
y = 3
Distance 2 = D = 10y
Replacing y with 3, we get:
D = 10y
D = 10(3)
D = 30
So, the distance to island is 30 miles
