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.
Answer:
35,28
Step-by-step explanation:
The simplified expression would be 3s + 15.
In order to find this we need to write an equation for the longest side. Since it's 3 more than twice as much as the smallest side (s), we can express it as 2s + 3. Now we simply add all 3 together and simplify.
2s + 3 + 12 + s -----> simplify
3s + 15
Answer:
Slope is - 2 because The slope-intercept form is y=mx+b where m is the slope value. In the equation y=-2x , the m value is - 2 .
Answer:
- 8
Step-by-step explanation:
Given
(4 +4 x²)(3x² - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
4(3x² - 5) + 4x²(3x² - 5) ← distribute parenthesis
= 12x² - 20 + 12
- 20x² ← collect like terms
= 12 - 8x² - 20
with coefficient of x² term being - 8
