Answer:
y-intercept = (0, - 3)
x-intercept = (-6, 0)
slope = - 1/2
Step-by-step explanation:
The y intercept is the value of y when the x = 0. By looking at the graph, we can tell that when x = 0, y = - 3. Likewise for the x-intercept.
We can use the slope formula to determine the slope.
m = y2 - y1/ x2 - x1
You can choose any 2 points on the line and substitute in the formula. I chose the y and x intercepts for easier calculations.
m = - 3 - 0/ 0 - (- 6)
m = - 3/ 6
m = - 1/2
Answer:
(a). 32 copies
(b). $3060
Step-by-step explanation:
<u>Solution for (a):</u>
<u />
P = 60c + 1800
If P is $3720 then;
3720 = 60c + 1800
60c = 3720 - 1800 = 1920
c =
= 32 copies
<u>Solution for (b):</u>
<u />
P = 60c + 1800
If c is 21 then;
P = $60(21) + $1800
P = $1260 + $1800
P = $3060
Answer:
As a reduced fraction:
minutes, which is 24 minutes
Step-by-step explanation:
Sam's speed is 1 lawn in 40 minutes. Vanessa's speed is 1 lawn in 60 minutes. If they both work together, the total speed is:

Which means that the total speed would be 5 lawns in 120 minutes. To find the time it would take to mow one lawn at that speed, we need to invert that speed so we get minutes per lawn:

Answer:
m < amc = 54°
Step-by-step explanation:
< amb and < bmc are complementary angles whose sum equals 90°.
Therefore, to find the value of 2x°, we must first solve for x.
We can establish the following equality statement:
< amb + < bmc = < amc
< 2x° + (x + 9)° = 90°
Combine like terms:
2x° + x° + 9° = 90°
3x° + 9° = 90°
Subtract 9 from both sides:
3x° + 9° - 9° = 90° - 9°
3x = 81°
Divide both sides by 3 to solve for x:
3x/3 = 81°/3
x = 27°.
Since x = 27°, substitute its value into 2x° to find m < amc:
2x° = 2(27°) = 54°
Therefore, m < amc = 54°
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Answer:
53 boxes
Step-by-step explanation:
Subtract the end amount from the beginning amount to find the number of boxes already delivered.
89-36=53