Linear Relationships
The cost (C) of a mobile phone plan for a certain number of months (t) is given by C=50t+10. The cost of the phone plan for 10 months.
$510
Solve 11v-8=27
v=35/11 , 3.18, 3 & 2/11
Christine receives a salary of $85 640. Her fortnightly pay will be
$3 293.85
Convert 7.5 metres to millimetres.
7500mm
A bag contains black, white and grey balls. The probability of selecting a black ball is 0.3 and a grey ball is 0.6. What is the probability of selecting a white ball?
0.1
A straight line has equation 2y=-3x+4. the y intercept is.
Make w the subject of the equation u=-5w+v
w=(u-v)/-5
Jemima receives a normal hourly rate of $22.60. His pay for 8 normal hours and 3 time-and-a-half hours is.
$282.50
What is the surface area of a rectangular prism with a length of 2.5m, a breadth of 3m and a height of 2.8m.
45.8m2
A card is selected at random from a normal pack of playing cards. the card is replaced each time. What is the expected number of times you would select a king from 260 trials.
20
The gradient of the line which joins (-2,1) and (0,4)
3/2
Solve the equation:
(d/2)+5=4d+2
d=(6/7)
Maria has a taxable income of $73 924.85. Her Medicare levy is.
$1 478.48
A cylindrical water tank has a diameter of 7.5 metres and a height of 2 metres. The capacity in kilolitres is
88 357kL
The probability of selecting a card labelled T from 32 cards is given as P(T)=0.185. How many of the 32 cards were labelled with a T.
6
The equation of the line with the following points: (-2, -4), (-1,-3), (0,2), (1,1), (2, 0).
y=-x+2
Solve the eqaution:
(x/2)+(x/6)=1
x=(3/2)
Ruby's maximum Youth Allowance is reduced by $1 for every $4 that her parents' income is over $31 400. Her parents earn $35 624. Her allowance will be reduced by.
$1056
What is the percentage error of a measurement of 56.3m to three decimal places.
0.089%
The numbers 1 to 20 are written on separate cards. one card is chosen at random. The probability the card chosen is a prime number or divisible by 3 as a percentage is
65%
It is known that a varies directly with b. If a=84 then b=56. The value of a when b=22
24
A landscaper charges $120 up front and $65 for each hour that he works. How many hours would he have worked if total cost of $607.50
7.5 hours
Alex is a librarian who has a taxable income of $69 410. The tax payable on the first $37 000 is $3 572 and the balance was taxed at a rate of 32.5%. Alex's tax to the nearest dollar is.
$14 105
An area to be landscaped is a sector with a radius of 19 metres and an angle at the centre of 145 degrees. The area is to be covered with turf at $12.50 per square metre and the top dressed with soil at $2.30 per square metre. The total cost to the nearest dollar is.
$6 761.
There are three outcomes of a netball game: win, lose or draw. If P(win)=(5/7) and P(lose)=(1/5) the probability of a win then a draw as a percentage to two significant figures is.
6.1%