Answer:
There were 40 2-point questions and 9 3-point questions.
Step-by-step explanation:
To solve this situation, write two equations. One for the number of questions and one for the number of points.
Let x be the number of 2 point questions.
Let y be the number of 5 point questions.
x + y = 49
Now since x are each worth 2 points, the total points is 2x.
And since y are each worth 5 points, the total points is 5y.
So 2x + 5y = 125. Substitute one of the equations into the other to solve for the variables.
x + y = 49 becomes x = 49 - y. Substitute it.
2(49-y) + 5y = 125
98 - 2y + 5y = 125
98 + 3y = 125
3y = 27
y = 9
Substitute y = 9 back into the equation x = 49 - y to find x.
x = 49 - 9
x = 40
4 × y - y = 36
4y - y = 36
Combining 4y and -y to get 3y
3y = 36
Dividing both sides by 3
y = 36/3
y = 12.
the simple fact that 94 is 49 backwards means nothing, anymore than say 001 and 100 are equal quantities or related other than in the digits.
so, 0.49 or 49/100 and 0.94 or 94/100, are two values, both are at the one hundredth level, so to see who is larger, we can nevermind the 100 and look at the numerator, 94 is clearly much larger than 49.
Answer:
PQ = 20
QR = 15
Step-by-step explanation:
PQ^2 = 16^2 + 12^2
PQ^2 = 400
PQ = √400 = 20
QR^2 = 12^2+9^2
QR^2 = 225
QR = √225 = 15