Not sure what you mean by 5th term, I assume it's the term with the form x^3y^5
Then, you can use combination method:
C(8,3) * (-3)^5 = -13608
So, 5th term is -13608x^3y^5
So an easier way to look at this is to think of the decimals as percentages, to convert these decimals to percentages we can multiply each by 100.
Which gives us 58% of students with fruit, and 36% students with crackers. We know that 58% is much larger than 36%, so more students bring fruit instead of crackers.
Answer:
9.5 < x < 15
Step-by-step explanation:
Answer:1588
Step-by-step explanation:
4 x 397 = 1588
Answer:
x = 8
y = 29
Step-by-step explanation:
By verticle angles theorem, the angles with the measure of ( 4x + 17 ), and the angles with the measure of ( y + 20 ) are equal.
Verticles angles theorem states, when two lines intersect, there are four angles formed. The angles opposite to each other will have the same measure or congruent measures.
Hence one can say that;
4x + 17 = y + 20
Inverse operations;
4x + 17 = y + 20
-17 -17
4x = y + 3
-3 -3
4x - 3 = y
Assuming that lines "m" and "n" are parallel, then the angles with the measure of ( 5x + 9 ) and the angles with the measure of ( y + 20 ) are congruent.
When two lines are parallel and are intersected by another line (transversal line), then the angles that are alternate and interior are congruent, in other words, the same measure.
Based on that, one can say;
5x + 9 = y + 20
Earlier it was found that;
y = 4x - 3
Now substitute that into the previous equation, and solve using simplification and inverse operations;
5x + 9 = 4x - 3 + 20
5x + 9 = 4x + 17
-9 -9
5x = 4x + 8
-4x -4x
x = 8
Back solve to find y
y = 4x - 3
y = 4(8) - 3
y = 32 - 3
y = 29
