Answer:
Step-by-step explanation:
The equation of a line in slope-intercept form:
m - slope
b - y-intercept → (0, b)
We have the x-intercept = 4 → (4, 0), and y-intercept = 5 → b = 5.
Therefore we have the equation:
Put the coordinates of x-intercept to the equation:
<em>subtract 4m from both sides</em>
<em>divide both sides by (-4)</em>
Finally we have the equation of a line if slope-intercept form:
The standard form:
Convert:
<em>multiply both sides by 4</em>
<em>add 5x to both sides</em>
Answer:
5/42
Step-by-step explanation:
To solve this problem, you have to divide 7 and 5/6 to find the unit rate (how much hours it takes to do one task).
- Write what you know into a ratio
<u>7 tasks</u>
5/6 hour
2. You want to know how many hours one task takes, so make that a ratio as well.
<u>7 tasks </u> <u> 1 task</u>
5/6 hour ? hour
Ask yourself what do you do to the 7 in the numerator to get to one.
That's right! you divide by 7! And whatever you do to the numerator you do to the denominator (and vise-versa). Therefore if you divide the numerator(7) by 7 to get 1, you divide the denominator (5/6) by 7 as well.
5/6 divided by 7 is 5/42 meaning it takes the robot 5/42 hour to complete one task.
<u>1 task</u>
5/42 hour
Find the difference per row:
10 seats in the first row
30 seats in the sixth row:
30 -10 = 20 seats difference.
6-1 = 5 rows difference.
20 seats / 5 rows = 4 seats per row.
This means for every additional row, there are 4 more seats per row.
The equation would be:
Sn = S +(n-1)*d
Where d is the difference = 4
S = number of seats from starting row = 10
n = the number of rows wanted
S(11) = 10 + (11-1)*4
S(11) = 10 + 10*4
S(11) = 10 + 40
S(11) = 50
Check:
Row 6 = 30 seats
Row 7 = 30 + 4 = 34 seats
Row 8 = 34 + 4 = 38 seats
Row 9 = 38 + 4 = 42 seats
Row 10 = 42 + 4 = 46 seats
Row 11 = 46 + 4 = 50 seats.
Answer: 28.8
Step-by-step explanation:sorry if I’m wrong
