A submarine is at 400 feet below sea level. If it ascends 150 feet and then descends 320 feet, how far is it above or below sea
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A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.
How much water, in milliliters, does the student have left in the bottle?
Answer:
the amount of water the student have left in the bottle is 250 milliliters
Step-by-step explanation:
A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.
How much water, in milliliters, does the student have left in the bottle?
Before the soccer practice, she drank 25 % of the water
25% of the water = 25% of 500
= 25% × 500
= × 500
At the right hand-side of the equation, the two zeros will cancel-out the other two zeros, hence;
= 25 × 5
=125
25% of the water = 125 milliliters
From the question, it was said that drank 25% of the water before soccer, this implies that she drank 125 milliliters from the water bottles.
If she drank 125 milliliters of from a 500 milliliters water contain in the water bottle, then the amount of water left will be 500 ml - 125 ml = 375 ml
This implies that before the soccer practice she had 375 milliliters of water left in the water bottle.
After the practice, she drank 1/3 of the remaining water, which means after the practice she drank 1/3 of 375
1/3 of 375 = × 375 =
= 125
After the practice she drank 125 milliliters of water from her 375 milliliters water.
The amount of water she have left after the practice will be;
375 milliliters - 125 milliliters = 250 milliliters
Therefore, the amount of water the student have left in the bottle is 250 milliliters
<h2>Answer:</h2>
The values of x for which the given vectors are basis for R³ is:
We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.
We are given three vectors as:
(-1,0,-1), (2,1,2), (1,1, x)
The matrix formed by these vectors is:
Now, the determinant of this matrix is:
Hence,