Answer:
9 burritos
Step-by-step explanation:
We can use ratios to solve
8 cups 12 cups
---------- = -----------------
6 burritos x burritos
Using cross products
8x = 6*12
8x = 72
Divide by 8
8x/8 =72/8
x = 9
9 burritos
Answer:
An improper fraction is always 1 or greater than 1. And, finally, a mixed number is a combination of a wholenumber and a proper fraction.In a proper fraction, the numerator is always less than the denominator. Examples ofproper fractions include and
Answer:
57.78 km/hr
Step-by-step explanation:
Total time taken, t = 6 hours
Total distance covered, d = 520 km
Distance by car = 260
Distance by train = 520 - 260 = 260 km
Train speed = x
Car speed = 2x
Average speed speed = 3x /2
Speed = distance / time
1.5x = 520 / 6
9x = 520
x = 520 / 9
x = 57.777
Average speed of train = 57.78 km/hr
The objective function is simply a function that is meant to be maximized. Because this function is multivariable, we know that with the applied constraints, the value that maximizes this function must be on the boundary of the domain described by these constraints. If you view the attached image, the grey section highlighted section is the area on the domain of the function which meets all defined constraints. (It is all of the inequalities plotted over one another). Your job would thus be to determine which value on the boundary maximizes the value of the objective function. In this case, since any contribution from y reduces the value of the objective function, you will want to make this value as low as possible, and make x as high as possible. Within the boundaries of the constraints, this thus maximizes the function at x = 5, y = 0.
Answer:
1 and 27, 12 and 33, 6 and 24, 36 and 81, 12 and 96.
Step-by-step explanation:
GCF of 36 and 81: 9
GCF of 1 and 27: 1
GCF of 12 and 33: 3
GCF of 12 and 96: 12
GCF of 6 and 24: 6