Remember y ou can do anything to an equation as long as you do it to both sides
get 1x by itself
8x-12=4x+24
add 12 to both sides
8x=4x+36
minus 4x from both sides
4x=36
divide both sides by 4
x=9
Answer:
Jason Inherit a land with a 45% chance of having oil.
Step-by-step explanation:
The probability of the land having oil is = P
(
O)
=
45
/100
The probability of the land having oil is= Q(O
)
=55/100
The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.
The probability of the correct reading is= P(M)=80/100
The probability of the incorrect reading is=Q(M)=20/100
The case when the machine predicts there is no oil and there is indeed oil can be calculated:Probability=Probability of oil present × probability of the incorrect reading
Probability=P(O) x Q(M)
Probability=45/100 x 20/100
Probability=9/100
The probability of the test predicting no oil in land and the land has oil is 0.09 or 9%
Answer:
it will be 1.50$ off as the discount so sold for 13.50 is the sale price
Answer:
x=5.6
y=-5.6
Step-by-step explanation:
3x - 5y = 14 Equation 1
– 2x + 2y = 0 Equation 2
Simultaneous equation can be solved either through elimination method or substitution method. But we use elimination method for this question
Multiply equation 1 by -2 (the coefficient of x in equation 2) and multiply equation 2 with 3 (the coefficient of x in equation 1), so that x will have the same coefficient in the new equations, and easy to eliminate
-2(3x - 5y = 14)
-6x+10y=-28 Equation 3
3(– 2x + 2y = 0)
-6x+6y=0 Equation 4
Subtract equation 4 from 3 to eliminate x
-6x+10y=-28
-6x+6y=0
-6x-(-6x)=-6x+6x=0
10y-6y=5y
-28-0=-28
5y=-28
y=-28/5
y=-5.6
Substitute for y in equation 2
– 2x + 2y = 0
– 2x + 2(-5.6) = 0
-2x-11.2=0
-2x=11.2
x=-11.2/2
x=5.6
