Answer:
well i think the answer is 80
Step-by-step explanation:
180=130 + 137+x
130-50+x
130-50=80
The hotel is $250 plus $25 per person so the equation would be
y= 25x + 250
(Y is the total cost and x is the number of people)
the restaurant is $100 plus $40 per person so the equation would be
y = 40x + 100
What we want to know is which x value would make the y values equal to each other. So you can just replace the "y" in one equation with the other equation:
25x + 250 = 40x + 100
and then solve...
1. subtract 100 from both sides
25x + 150 = 40x
2. subtract 25x from both sides
150 = 15 x
3. divide both sides by 15
10 = x
you can check by plugging 10 into the original equations
25(10) + 250
250 + 250 = 500
and
40(10) + 100
400 + 100 = 500
they both cost $500 when you invite 10 people
Answer:
x1=-2, x2=2
Step-by-step explanation:
Answer:
x= 1 :))
Step-by-step explanation:
Start by defining variables (things you don't know). Let's make:
t = number of true/false questions
m = number of multiple choice questions
Equation #1
total questions on the test (given to be 20) is then:
t + m = 20
Equation #2
Multiply the number of questions by the points it's worth to get the total points
3t + 11m = 100
Now, you can use substitution to combine the two equations.
t + m = 20
by subtracting m from both sides, equation 1# becomes..
t = 20 - m
substitute t for 20 - m in the second equation.
3(20 - m) + 11m = 100
Solve for m.
3(20 - m) + 11m = 100
60 - 3m + 11m = 100
8m = 100 - 60
8m = 40
m = 5
There are 5 multiple choice questions on the test.
Now use this to find t.
t + m = 20
t + 5 = 20
t = 20 - 5
t = 15
there are 15 true/false questions on the test.
