Step-by-step explanation:
We have xy = 28, x² + y² = 65 and x³ + y³ = 407.
Since (x + y)(x² - xy + y²) = x³ + y³,
x + y = (x³ + y³)/(x² + y² - xy)
= (407) / [(65) - (28)]
= 407 / 37
= 11.
Hence the sum of the numbers is 11.
Answer:
The set of all pages in the book:
S={1, 2, 3, ..., 428}
Step-by-step explanation:
The sample space is the set containing all possible outcomes for the experiment. In this problem, the experiment is stopping at a random page of the textbook, and the sample space is the set of all pages in the book:
S={1, 2, 3, ..., 428}.
Answer:
0.75 gallon
Step-by-step explanation:
3 gallons of batter are poured equally into 4 bowls.
We have to calculate the amount of batter in each bowl.
so we have to divide 3 gallons by 4 to get the answer.
Total amount of batter = 3 gallons
divided into number of bowls = 4
The amount in each bowl =
gallons
= 0.75 gallons
0.75 gallon of batter are in each bowl.
Answer:
D
Step-by-step explanation:
We put 2nd equation into 1st equation and get y:

We can't seem to come to a solution.
Also let's rearrange the 2nd equation into y = something form:
x = 7y + 1
7y = x - 1
y = 1/7 x -1
As we can see BOTH the lines have the same SLOPE, the number before x, which is 1/7 and we know that lines with same slope are parallel, they never intersect.
Having a solution to a system means their intersection point, since they are parallel lines, they don't intersect, and hence DO NOT HAVE A SOLUTION.
D is the correct choice.