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:
480
Step-by-step explanation:
1200 times 0.4 equals 480
There are exactly 0.499999 quarts in 1 <span>pint.</span>
Answer:
1/12 square foot
Step-by-step explanation:
Area of the pattern = LEngth * Width
Given the following
Length = 1/2 foot
Width = 1/6 foot
Area of the pattern = 1/2 * 1/6
Area of the pattern =1/12 square foot
Hence the area that the decorative pattern will cover will be 1/12 square foot
<h3>
Answer: Approximately 13 square units (choice B)</h3>
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Explanation:
The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB
angle AOB = 360 - 215 = 145
angle AOB = 145 degrees
We'll use this later.
Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.
The area of the circle is
A = pi*r^2
A = pi*(sqrt(10))^2
A = 10pi
This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB
area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)
area of sector AOB = (145/360)*10pi
area of sector AOB = 145pi/36
area of sector AOB = 145*3.14/36
area of sector AOB = 12.647 approximately
area of sector AOB = 13 square units approximately, after rounding to the nearest whole number
