Answer:
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=300 (1)
5x+8y=300*7
5x+8y=2100(2)
First, you can isolate x in (1):
x=300-y (3)
Now, you can replace (3) in (2):
5(300-y)+8y=2100
1500-5y+8y=2100
3y=2100-1500
y=600/3
y=200
Then, you can replace the value of y in (3) to find x:
x=300-200
x=100
According to this, the answer is that he should use 100 pounds of dried pineapple and 200 pounds of dried apricots.
Answer: f(x) = -3x + 4
Step-by-step explanation:
The function is represented by
9x + 3y= 12
This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes
9x + 3y= 12
Subtracting 9x from both sides,
9x -9x + 3y = 12 - 9x
3y = 12-9x
Dividing the lefthand side and right hand side of the equation by 3, it becomes
3y/3 = (12-9x)/3
y= -3x + 4
using function notation,
y = f(x) = -3x + 4
The answer to this equation is 3
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:
