Answer:
the exact answer is 58.65
Step-by-step explanation:
since she made 85% of her shots, that means in total from her 51 shots, she made 115% more than 51 (you add 15% to 100%). The 15% is from the difference of 100% and 85%. You then change 115% to fraction form (1.15) and multiply it by the amount of shots made, getting you 58.65. Since you can't make a fraction in terms of a real life scenario like this, you prob need to round or something. Diff teachers want diff things
Answer:
1= 36
2= 6
3= 42
4= 162
5= 200
Step-by-step explanation:
You are essentially dividing 9a² from all terms in the expression.
Divide:
(27a²x² + 45a²x + 36a²)/(9a²) = 3x² + 5x + 4
3x² + 5x + 4 is your answer.
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Let x be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He wants to make 300 pounds of a mix. Then
20x+17.5y+30z=300.
Now
- in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
- in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
- in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
- in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.
Then 4x+4.725y+7.5z=66.
You get a system
![\left\{\begin{array}{l}20x+17.5y+30z=300\\4x+4.725y+7.5z=66.\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7D20x%2B17.5y%2B30z%3D300%5C%5C4x%2B4.725y%2B7.5z%3D66.%5Cend%7Barray%7D%5Cright.)
From the first equation
Substitute it into the second equation:
![4x+4.725y+7.5(10-\dfrac{2}{3}x-\dfrac{7}{12}y)=66.](https://tex.z-dn.net/?f=4x%2B4.725y%2B7.5%2810-%5Cdfrac%7B2%7D%7B3%7Dx-%5Cdfrac%7B7%7D%7B12%7Dy%29%3D66.)
Simplify it:
![-x+\dfrac{7}{20}y=-9,\\ \\ 20x-7y=180.](https://tex.z-dn.net/?f=-x%2B%5Cdfrac%7B7%7D%7B20%7Dy%3D-9%2C%5C%5C%20%5C%5C%2020x-7y%3D180.)
y must be divided by 20, then
- y=0, x=9, z=10-6=4;
- y=20, x=16, z is not a whole number;
- y=40, x=23, z is not a whole number;
- y=60, x=30, z=10-20-35<0;
- thus, all other possible z will be <0.
Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.