Answer:
The ship is located at (3,5)
Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III
Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II
To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.
Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9
We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3
Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5
Based on the above, the position of the ship is (3,5).
Hope this helps :)
Hello there,
Lucy watched more TV on Tuesday.
This is because 1 hour = 60 minutes.
so, 25% of 60 min = 15 min on Monday
and, 79% of 60 min = 47.7 min rounded gives 48 minutes on Tuesday...
Hope this answer helps. Good luck.
Since there are 675 students in a school and the canteen is giving 100 free apples to all the students, therefore, one student will receive less than one apple.
One student will receive 
part of an apple.
This information can be further interpreted as a percentage by doing the following calculation:
Thus, we can say that one student receives 14.81% of an apple. (Note that 100% represents one full apple).
Step-by-step explanation:
We can turn this into an equation.
Let’s denote the amount of money James makes as X.
Then Lin makes X + 3100.
Together they make 81960.
So combine their earning expressions.
X + X + 3100 = 81960
Solve for X
X = 39430
So James makes $39430 since his earnings are demoted by x.
Lin then makes 3100 + 39430, which is $42530.
The answer is an expression because you can not solve for x.
