To answer this, set up a system of equations. What we know is that
5x + 2y = 100
And...
x+y=38
x represents the unknown number of 5 points questions
y represents the unknown number of 2 point questions
In my opinion the easiest way to solve this is to use substitution (that is when you find out the value of one variable, either x or y, and substitute that value as the variable).
So,
x+y=38
Subtract x from both sides
y=38-x
Now, plug (38-x) in as y in the other equation.
5x + 2(38-x) = 100
5x + 76-2x= 100
3x+76=100
3x=24
x=8
Now that you know that x=8, you can solve for y.
5x+2y=100
5(8)+2y=100
40+2y=100
2y=60
---- ------
2 2
y=30
X=8
Y=30
There are 8 five point questions on the test and 30 two point questions on the test
Answer:
-11
Step-by-step explanation:
distribute: -8q-7=48-3q
move like terms to other sides of the equal sign: -5q=55
divide 55/-5
you get -11
Answer:
The boats are far apart by 4506.1 feet
Step-by-step explanation:
from the graph attached
i) BC = 1353 
= 2761.82 feet
ii) BD = 1353 
= 1744.28 feet
iii) the boats are far apart by = CD = CB + BD = 2761.82 + 1744.28 = 4506.1 feet
