Answer:
The Sum is 49/12 (improper), or 4 1/12 (mixed).
The Difference of these 2 fractions would be 2 1/3 - 1 3/4 instead of adding them. The answer is 7/12.
Step-by-step explanation:
I did it by converting the mixed fractions into improper fractions, then making the denominators the same, and adding them together.
Step-by-step explanation:
since the two angles are supplementary angles they add up to give 180°
therefore, 7x+2+3x-2=180°
or, 10x= 180°
or, x= 18°
Answer:
To maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.
Step-by-step explanation:
Given that a farmer plans to grow wheat and corn, and each acre of wheat requires 4 hours of labor and $ 20 of capital, and each acre of corn requires 16 hours of labor and $ 40 of capital, and the farmer has at most 800 hours of labor and $ 2400 of capital available, if the profit from an acre of wheat is $ 80 and from an acre of corn is $ 100, to determine how many acres of each crop should she plant to maximize her profit the following calculation must be performed:
Knowing that each acre of wheat has a 50% lower capital cost, 75% lower hours and a 20% lower profit, in principle this would be the crop to be planted to obtain better yields.
2400/20 = 120
120 x 4 = 480
120 x 80 = 9,600
Thus, to maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.
Answer:
The length of the base is 
Step-by-step explanation:
Since we know the formula to find the area of a triangle is 
, we can plug in and solve for b. When we plug into the formula we get:
= 
First multiply by 2 on both sides to get rid of the 1/2 on the left. After doing this we get:
Then we can multiply by 5 on both sides to get rid of the 1/5 on the left. After doing this we get out answer:
Answer:
To solve, you need to use Pythagorean Theorum
a^2+b^2=c^2
100^2+53.33^2 = c^2
10,000+2844.0889=c^2
12844.1=c^2
square root
= 113 1/3 yards
So it is less than 120 yards
Step-by-step explanation:
Here's a primer on how the dimensions play out at every level, from high school football to the NCAA and on up to the NFL. There are two constants, across the level of competition: 120 yards (360 feet) of length and 53 1/3 yards (160 feet) of width.
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