Converting decimals into fractions is simple, all you have to do is think about the number, for example .25, if you look at it you realize it's 1/4 of 1, so it's naturally 1/4, you do this with all of them
Answer:
50y
Step-by-step explanation:
This is because 150 minus 100 equals 50
Also because they have the same "y" they can be subtracted easily.
Answer:
1+y 
-13
Step-by-step explanation:
The problem states that one plus y is No greater than -13.
This means that is less than or equal to -13.
It also gives you one plus y, or 1+y
Put everything together to get 1+y -13
The correct answer is C. Commutative Property
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 :)
