Answer:
(a) Equation: 
(b) 7.5 gallons
Step-by-step explanation:
Given
Current Gas = 10 gallon
Every Hour = -1.25 gallon
Solving for (a): An equation for the scenario
This question represents an Arithmetic Progression and will be solved using the following formula:

Where


Substitute these values in the formula


Collect Like Terms


Solving for (b): In this case, n - 3
Substitute 3 for n in 



<em>7.5 gallon of gas left</em>
Answer:
Step-by-step explanation:
Given
Probability of clearing exam in 1 st attempt=0.5
Probability of clearing exam in 2 nd attempt=0.7
Probability of clearing exam in 3 rd attempt=0.8
Probability that she passes the exam

(b)P(Pass qualification on 2nd try|passes qualification)
P(Pass qualification on 2nd try|passes qualification)
P(Pass qualification on 2nd try|passes qualification)
Answer: 150 coins
Step-by-step explanation: let the number of captain Sparrow and the crew = c
The number of gold = g
This mean each person will get g/c
If there were four fewer pirates, then each person would get 10 more coins means
g/(c - 4) = g/ c+ 10
cg = (c-4)(g+10c) ....... (1)
However, if there were 50 fewer coins, then each person would get 5 fewer coins.
(g - 50)/c = g/c - 5
g - 50 = g - 5c
5c = 50
c = 10
Substitute c in equation 1
cg = (c-4)(g+10c) ....... (1)
10g = (10 - 4)(g + 10×10)
10g = 6× (g + 100)
10g = 6g + 600
4g = 600
g = 150 gold coin.
Therefore they dig up 150 gold coin
Answer:
The remainder is 8
Step-by-step explanation:
Let Jonah's Marble=x
If he arranges x marbles into y rows of 13 each, and there are remainders(R)
Then:
x/13=y+(R/13).....(I)
If he borrows 5 marbles from a friend, there will be no remainder. However, the number of rows y, will be increased by 1
New Total Marbles=x+5
(x+5)/13=y+1.....(ii)
x+5=13(y+1)
x=13y+13-5
x=13y+8
From (I)
x=13y+R
Comparing the values of x derived from (I) and (ii)
13y+R=13y+8
Therefore the Remainder, R= 8
Answer:
Step-by-step explanation:
x is greater then -2