Answer:
The number of melon was 3 and the number of apples was 45.
Step-by-step explanation:
1. Melons cost $20 per crate and apples cost $8 per create. If the total was 48 crates for $420, you can make the following system of equations, where
is the number of melons and
is the number of apples:

2. By applying the Method of substitution, you can solve for
in the first equation and substitute it into the second one to find
. Then, you can substitute the value of
into the first equation to find
:



Answer: 4
Step-by-step explanation:
First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
Answer:
the volume of the rectangular prism is 18 units.
Answer: 220
Step-by-step explanation: Use distributive propetry and PEMDAS to solve.