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
Answer:
4 months
Step by step explanation
If you subtract 30 by 2 for 4 months you get 22 and if you add 4 4 times to 6 you get 22 and that means the answer is 4 months.
A quadratic equation given roots is solved by using the relation
from the question,
sum of the root will be
and also, product of the roots will
be
now substituting the sum of roots and product of roots into the equation
as the quadratic equation for the root 3/4 and -4
14/20
14/18
1
7
—————————————////
Answer:
x = 24
Step-by-step explanation:
x + 
x = 36
Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.
x + x = 36
Now we can calculate the numerators and keep the denominators the same.
x = 36
Find x.
x = 
× 36
x = 24
