Answer:

Step-by-step explanation:

Use the slope-intercept formula:

m is the slope and b is the y-intercept. Use the slope formula first:

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:


Simplify parentheses (two negatives makes a positive):

Simplify:

The slope is
. Insert into the equation:

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

Solve for b, the y-intercept. Simplify parentheses:


Add
to both sides:

Simplify:

The y-intercept is
. Insert this into the equation:

Finito.
Answer:
there are 13 people in the group
Step-by-step explanation:
First step is to subtract the one-time fee from the cost
$60 - $8 = $52
Second step is to divide by the cost per person
⇒ $52/$4 = 13
For this case we have the following equation:
Density = mass / volume
If the volume is the same, then the object with the greatest weight will be the one with the highest density.
You must know the type of way to know the value of the density.
Answer:
The weight of the blocks will depend on the density if the volume is the same.
Answer:
$45
Step-by-step explanation:
Here we need to calculate the income of this year.
We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:
51 * $615 = $31,365
So, our surplus will be our income minus our expenses:
Surplus = $31,365 - $31,320 = $45
Our cash surplus is $45
Answer:
x = 20
Step-by-step explanation:
x° + 2x° + (x+10)° = 90°
3x° + x° + 10° = 90°
4x° + 10° = 90°
4x° = 90°-10°
4x° = 80°
x = 80/4
x = 20