The surface area is given by:
S.A = 2 * (area of the top) + 2 * (area of the front) + 2 * (area of one side)
Substituting values we have:
S.A = 2 * (20) + 2 * (16) + 2 * (24)
S.A = 120 cm ^ 2
Answer:
The surface area of the rectangular prism is:
S.A = 120 cm ^ 2
Answer:
3.) 63=3x+7y
4.) Y-intercept is 9
Step-by-step explanation:
(For 3) For every time a person gets a touchdown, x represents that
for every time a person person scored a successful extra-point attempt, y represents that.
And they team scores 63, so....
the equation would look like this
63=3x+7y
(For 4) You find the y-intercept by turning the standard form equatio into the slop intercept form
(Helper's note, multiplying by its reciprocal is the same as dividing it by a whole number, in the case dividing the number by 7 is the save as multiplying the number by 
)
Then plugging x=0 and solve for y, which in this case, y=9
(For the graphing) Turn 63=3x+7y into a slope intercept form, which is 
and graph from there
Answer:
- 280 student tickets
- 520 adult tickets
Step-by-step explanation:
You may recognize that you are given two relationships between two unknowns. You can write equations for that.
You are asked for numbers of adult tickets and of student tickets. It often works well to let the values you're asked for be represented by variables. We can choose "a" for the number of adult tickets, and "s" for the number of student tickets. Then the problem statement tells us the relationships ...
a + s = 800 . . . . . . 800 tickets were sold
12.50a + 7.50s = 8600 . . . . . . . revenue from sales was 8600
(You are supposed to know that the revenue from selling "a" adult tickets is found by multiplying the ticket price by the number of tickets: 12.50a.)
___
You can solve these two equations any number of ways. One way is to do it by <em>elimination</em>. We can multiply the first equation by 12.50 and subtract the second equation:
12.50(a +s) -(12.50a +7.50s) = 12.50(800) -(8600)
5s = 1400 . . . . simplify. (The "a" variable has been eliminated.)
s = 280 . . . . . . divide by 5
Then the number of adult tickets can be found from the first equation:
a + 280 = 800
a = 520
280 student tickets and 520 adult tickets were sold.
Answer:
The point-slope form would be y - 4 = x - 2
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope. For that, we use the slope formula.
m (slope) = (y1 - y2)/(x1 - x2)
Now we plug the numbers into the equation.
m (slope) = (y1 - y2)/(x1 - x2)
m (slope) = (4 - -1)/(2 - -3)
m (slope) = 5/5
m (slope) = 1
Now we can use point-slope form along with the slope and either point to write the equation.
y - y1 = m(x - x1)
y - 4 = (x - 2)
Answer:
the 2x and 1/2x are the slope.(rise over run)
the +2 and -1 are intercepts on the y axis
Step-by-step explanation:
