This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.
Therefore;
6 tractors ----- 10 days
18 tractors --- x days
Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.
This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
Both Maria and Edwin get the same price on the end.
$26.50*75%/100=$19.875
$19.875*10%/100+$19.875=$21.86
They are purchased copy of the book for $21.86 each.
Theay have $1.14 after purchasing both.
Answer:
(a) (-12/13, 5/13)
(b) (12/13, -5/13)
(c) (-12/13, -5/13)
(d) (12/13, 5/13)
Step-by-step explanation:
(a) The terminal point is effectively reflected across the y-axis, so the sign of the x-coordinate changes. (-12/13, 5/13)
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(b) The terminal point is effectively reflected across the x-axis, so the sign of the y-coordinate changes. (12/13, -5/13)
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(c) The terminal point is effectively reflected across the origin, so the signs of both coordinates change. (-12/13, -5/13)
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(d) The terminal point is mapped to itself, so its coordinates remain unchanged. (12/13, 5/13)
Total number of students=50
Number of boys=2x
Number of girls=y
total will be:
2x+y=50
⇒y=50-2x
when (y-6) boys left the auditorium the new number of boys was:
2x-(y-6)
=2x-y+6
but y=50-2x
thus the new number will be:
2x-(50-2x)+6
=4x-44
when (2x-5) girls left the auditorium the remaining number will be:
y-(2x-5)
=y-2x+5
but
y=50-2x
thus the new number of girls will be:
50-2x-2x+5
=55-4x
new total number of students:
(55-4x)+(4x-44)
=11
probability of selecting a girl at random will be:
(55-4x)/11=9/13
13(55-4x)=9*11
715-52x=99
616=52x
x=12
thus
y=50-12=38
thus
x=12 and y=38
B.) $17,200
Tim paid a total of $17,200 for the car.
Downpayment: $1,000
Total Monthly Payment: $450 * 36 mos. = $16,200
Total car payment = Down payment + Total Monthly Payment
TCP = $1,000 + $16,200
TCP = $17,200
