Evaluate
1 answer:
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Answer:
The graph below shows the answer to
2x - 3y < 12
Also shown as
-3y < -2x + 12
Step-by-step explanation:
You can rearrange the inequality by subtracting 2x from both sides to isolate the y.
You now have -3y < 12 -2x
which can be put into the standard linear equation form of
-3y < -2x + 12
Then you divide both sides by -3 to get singular value of y, which is something like
-3/-3y < -2/-3x + 12/-3
which is
y > 2/3x -4
Note: I switched direction of the inequality because you are dividing both sides by a negative value.
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
Answer:
A
Step-by-step explanation:
We want to solve the equation:
To do so, we can rewrite the equation.
Recall the double-angle for sine:
By substitution:
Distribute:
We can subtract 3cos(x) from both sides:
And factor:
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.