Answer:
Pounds of raisins = 1.5 lb
Pounds of cashew = 3.5 lb
Step-by-step explanation:
Let
Pounds of raisins = x
Pounds of cashew = y
x + y = 5 (1)
4.50x + 9.50y = 40 (2)
From (1)
x = 5 - y
Substitute x = 5 - y into
4.50x + 9.50y = 40
4.50(5 - y) + 9.50y = 40
22.50 - 4.50y + 9.50y = 40
- 4.50y + 9.50y = 40 - 22.50
5y = 17.5
y = 17.5 / 5
= 3.5
y = 3.5lb
Substitute y = 3.5 into
x + y = 5
x + 3.5 = 5
x = 5 - 3.5
= 1.5
x = 1.5lb
Pounds of raisins = 1.5 lb
Pounds of cashew = 3.5 lb
Answer:
The answer is: y = 2/3x - 3
Step-by-step explanation:
Given point: (3, -1)
Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.
Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:
y - y1 = m(x - x1)
y - (-1) = 2/3(x - 3)
y + 1 = 2/3x - 6/3
y + 1 = 2/3x - 2
y = 2/3x - 3
Proof:
f(3) = 2/3(3) - 3
= 6/3 - 3
= 2 - 3
= -1, giving the point (3, -1)
Hope this helps! Have an Awesome Day!! :-)
With the facts you got here, you can make the following equation:
x*(x+2)=24
x^2+2x=24
x^2+2x-24=0
Then you can use the following formula (which you might have seen before):
x = (-b +/- sqrt(b^2-4ac))/2a
where
ax^2+bx+c=0
(-2 +/- sqrt(4+96))/2
(-2 +/- 10)/2
x_1 = 4
x_2 = -6
Answer:
The answer is $2041.67 approx.
Step-by-step explanation:
Loretta’s income last year was $81,300.
Amount made in salary = $56,800
So, additional passive income is = 
dollars
Given that Loretta earned the same amount of passive income each month for the entire year.
So, her per month passive earning was = 
dollars
Therefore, the answer is $2041.67 approx.
Answer:
Radius of the circle = 6 units
Step-by-step explanation:
Let the radius of the circle be r
According to the given condition:
Area of the circle = 3 times the circumference of the circle
