Answer:
2022 students
Step-by-step explanation:
Since 18 out of 270 students speak three or more languages, a prediction would be 30,330 x 18/270 = 2,022 students
0.2(5x – 0.3) – 0.5(–1.1x + 4.2) = 6.5x – 2.06
Solution:
Given expression is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2).
To simplify the expression, first multiply the common term within the bracket.
0.2(5x – 0.3) – 0.5(–1.1x + 4.2)
= (5x × 0.2 – 0.3 × 0.2) + (–1.1x × (–0.5) + 4.2 × (–0.5))
= (1x – 0.06) + (5.5x – 2.1)
= x – 0.06 + 5.5x – 2
Combine like terms together.
= x + 5.5x – 0.06 – 2
= 6.5x – 2.06
0.2(5x – 0.3) – 0.5(–1.1x + 4.2) = 6.5x – 2.06
Hence the simplified form of 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) is 6.5x – 2.06.
Answer:
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Step-by-step explanation:
The given trigonometric equation is
for
.
We divide through by 5 to get;
We take the inverse tangent of both sides to obtain;
Since the tangent ratio is positive, it means
could also be in the 3rd quadrant. But this is outside the given range.
Therefore the correct answer is A
Answer:
Step-by-step explanation: