Answer:
x>=-1, B
Step-by-step explanation:
1. distribute 2 to get 7+x <= 2x+6+2
2. simplify to get 7+x <= 2x+8
3. subtract 7 on both sides to get x<=2x+1
4. subtract x on both sides to get 0 <= x+1
5. subtract 1 on both sides to get x >= -1
B fits this description
3/7x + 4 = -1/2
subtract 4 from both sides
3/7x= -1/2 - 4
3/7x= -4 1/2
divide both sides by 3/7
x= -4 1/2 ÷ 3/7
convert -4 1/2 to improper fraction
x= (-4*1+1)/2 ÷ 3/7
x= -9/2 ÷ 3/7
multiply by reciprocal of 3/7
x= -9/2 * 7/3
multiply numerators & denominators
x= (-9*7)/(2*3)
x= -63/6
x= -10 3/6
simplify 3/6 by 3
x= -10 1/2
CHECK:
3/7x + 4 = -1/2
3/7(-63/6) + 4= -1/2
(3*-63)/(7*6) + 4= -1/2
-189/42 + 4= -1/2
-4 1/2 + 4= -1/2
-1/2= -1/2
ANSWER: x= -63/6 or -10 1/2
Hope this helps! :)
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:
1) 40
2)9x-12
3)42
Step-by-step explanation:
1) A square has 4 sides, and if one side's length is 10, the perimeter (distance around the square) is 10 times 4=40
2) Simply add these values together to get 9x-12
3) Plug in 6 as x in 9x-12. (6*9)-12=54-12=42
