Answer:
y = -3x - 5
Step-by-step explanation:
First find the slope: (-20 - 1) / (5 - (-2)) = -3
Then plug in one set of points into the equation y = mx + b.
1 = -3(-2) + b
1 = 6 + b
b = -5
So you can get the equation: y = -3x - 5
Answer:
8 students in each van ~ 22 in each bus
Step-by-step explanation:
- Equations:
8v + 8b = 240
4v + b = 54
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- Modify:
8v + 8b = 240
8v + 2b = 108
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- Subtract and solve for "b":
6b = 132
b = 22 (# of students in each bus)
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- Solve for "v":
4v + b = 54
4v + 22 = 54
4v = 32
v = 8 (# of students in each van)
Answer:
The constant of proportionality is 0.3, or K=0.3.
Step-by-step explanation:
The chart I attached shows points that are plotted on the proportional line. In order to find the constant of proportionality from these points, you have to divide the amount of change by the number of years. For example, 3 divided by 10 or 6 divided by 20. This results in 0.3, which means that every year, there is 0.3 centimeters of change in the sea level.
Answer:
1 = 39 degrees (some theorem, like triangles sharing a bisector or something sorry)
3 = 51 degrees (if 1=39 and 2=90 degrees since its on a right angle, and a triangle's angles add up to 180, then you subtract 1 and 2 from 180 and get 51
ANSWER
Paul and Matt will take
to install the floor working together.
EXPLANATION
First, calculate Paul's rate, which is
Next, calculate Matt's rate, which is,
Let us assume that, Paul and Matt took
to do the work together.
Then, the rate of working together is,
Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.
Simplify the left hand side
We reciprocate both sides to get (You could have also done cross multiplication).