If you would like to solve the following system of equations, you can do this like this:
y = - 2 * x + 7
y = 1/3 * x
____________
1/3 * x = - 2 * x + 7
1/3 * x + 2 * x = 7
1/3 * x + 6/3 * x = 7
7/3 * x = 7 /*3/7
x = 7 * 3 / 7
x = 3
y = 1/3 * x = 1/3 * 3 = 1
The correct result would be: x = 3 and y = 1.
Answer:
x = 12
m∠A = 104º
m∠B = 32º
m∠C = 44º
shortest side = B
middle side = C
longest side = A
Step-by-step explanation:
Recall that all angles in a triangle add up to 180º. Also recall that the side opposite largest angle is the longest side, and vice versa for the side opposite the smallest angle.
Answer:
Step-by-step explanation:
Given that Prof Liu gave the same quiz to the students in her morning class and in her afternoon class. the average score for the two classes combined was 84.
(1) The average score for the students in the morning class was 80
(2) the average score for the students in the afternoon class was 86
Let m be the no of students in I class and n in II class
Total of I class = 80m and
Total of II class = 86n
Total of both classes = 80m +86n
Average =
m cannot be equal to n because in that case average would have been 83
If m >n, then say n =m+a
then average = 
Because 86 is more times added, average score would decrease hence we would not get 84.
So I class is getting less score of 80 to get a score average of more than 83 (the average) the class II should have more students.
Answer:
This is your answer
Table of 26 gives the repeated addition of number 26, repeated for a certain number of times. For example, 4 baskets of 26 apples each, gives the sum of 26 + 26 + 26 + 26 = 104.