$75 for the first month $250 lawnmower
$45 per month after initial visit $135 edger
Includes mowing and edging the $69 hedge trimmer
lawn, trimming the bushes, and $25 rake
raking the leaves.
How long would it take before the Hendersons would recover their costs if they chose to do it themselves over the professional service?
a.
5 months
b.
9 months
c.
10 months
d.
6 months
Professional Service Option Do-It-Yourself Option:
First month lawnmower = $250
Initial visit = $135
Price for mowing and edging = $69
Price for lawn and bushes trimming = $ 25
Hence, total cost becomes = 250+135+69+25 = $479
Professional service cost for 1 month lawnmower = $75
Professional cost for visit for 11 months (1st visit costs $135) = $45
Total cost for 11 months = 45*11 = $495
Total professional cost = 495+75 = $570
Now, subtracting the professional cost and do it yourself cost we get;
$570-$479=$91.
This $91 is for 2 months worth of work. Hence, months needed to recover costs = 12-2 = 10 months
Hence, the answer is 10 months.
Two events are independent events if it is impossible for the two events to occur simultaneously.
B.
Two events are independent events if the occurrence of one event has no effect on the probability of the other.
C.
Two events are independent events if the intersection between the sample spaces of the two events is not empty.
D.
Two events are independent events if the union of the sample spaces of the two events is not empty.
B. is the correct answer
Step-by-step explanation:
Two events are independent events if the occurrence of one event has no effect on the probability of the other. This is a true statement. Everything else is false.
Hope I helped!
x = 9y
x + 1.5y = 12
x + y = 9
x + 9y = 12
x = 1.5y
9x + y = 12
x = 1.5y
The system of equations that represents the given statements is
x + 1.5y = 12
x + y = 9
Where x is the number of pencils and y is the number of pens that Shawn bought.
To write an equation:
Given that,
A pencil at a stationery store costs - $1
and A pen costs - $1.50
Shawn spent $12 at the store. He bought a total of 9 items.
So,
Consider number of pencil = x and number of pens = y
Since he bought a total of 9 items, we can add the number of pencils and pens and equate the sum with 9
I.e., x + y = 9 ...(i)
We have cost for a single pencil and a single pen
So, to get the cost for the total number of pencils and pens that he bought, multiply the cost of a single one by the number of pencils and pens. I.e.,
1 × x and 1.50 × y
Since it is given that he spent $12 for both pencils and pens, we can write
x + 1.5 y = 12 ...(ii)
Thus, from equations (i) and (ii), the system we can write
x + 1.5 y = 12
x + y = 9
So, option 2 is the correctset of equations for the given system.
Learn more about writing equations from words here:
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Answer:
case 1
3x-7y=9
-4x+5y=1
using a graph tool
the solution is the point (-4,-3)------------------> one solution
case 2
y=6x-2
y=6x-4
two parallel lines
the system has no solution---------------> zero solution
case 3
-5x+y=10
-25x+5y=50
is the same line----------------> infinite solutions
Answer:
work is shown and pictured
b. 3x - y - 2 = 0
c. 3x + y - 2 = 0
The equation in general form of a line is Ax + By + C = 0. Option a, -3x - y + 2 = 0, is already in general form.
The equation of a line can be written in different forms, such as point-slope form or slope-intercept form. The general form of a line, also known as the standard form, is given by Ax + By + C = 0. To determine the equation in general form, we need to rearrange the given equation.
Option a: -3x - y + 2 = 0. This equation is already in general form.
Option b: 3x - y - 2 = 0. To convert this equation to general form, we add 2 to both sides: 3x - y = 2.
Option c: 3x + y - 2 = 0. To convert this equation to general form, we subtract 2 from both sides: 3x + y = 2.
Therefore, option a (-3x - y + 2 = 0) is already written in general form.
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