Let s = # of students in the sixth grade. 60% of these, or 0.60s, ate pizza: thus, 0.60s = 36. Solving for s, s = 36/0.60 = 60.
There are 60 students in the sixth grade.
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Answer:</h3>
3 11/15 cm
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Step-by-step explanation:</h3>
AE is the angle bisector of ∠A, so divides the sides of the triangle into a proportion:
... BE:CE = BA:CA = 7:8
Then ...
... BE:BC = 7 : (7+8) = 7:15
ΔDBE ~ ΔABC, so DE = 7/15 × AC
... DE = 7/15 × 8 cm = (56/15) cm
... DE = 3 11/15 cm
9514 1404 393
Answer:
- P = 160x +220y
- cost: 50x +70y ≤ 7400
- labor: 20x +25y ≤ 3500
Step-by-step explanation:
As with all cost problems, the total cost is the sum of products of number of items and item unit cost. Here, the items are acres of crops, and their unit costs are the respective cost per acre.
cost: 50x +70y ≤ 7400
Labor hours are added in similar fashion. The unit costs for labor hours are hours per acre for the different crops
labor: 20x +25y ≤ 3500
The profit function follows the same pattern:
P = 160x +220y
11 pound patties
Make it an improper fraction and divide it by 1/4
This problem is a combination problem since it did not
indicate that there is a specified order of songs to be played. The type of
combination problem is without repetition. Thus the working equation would be
n!/r!(n-r)! wherein n is the total number of songs to choose from and r is the
number of songs you can choose at a given time. The answer would be 125970.
