Solution for what is 150% of 40 40/x=100/150 (40/x)*x=(100/150)*x - we multiply both sides of the equation by x 40=0.666666666667*x - we divide both sides of the equation by (0.666666666667) to get x 40/0.666666666667=x 60=x x=60 now we have: 150% of 40=60
Answer:
The possible values of x are 90°, 30° and 150°.
Step-by-step explanation:
Given that,
sin(2x) = cos(x) where 0° ≤ x < 180°
We know that, sin(2x) = 2 sinx cosx
2 sinx cosx = cosx
Subtract cosx on both sides
2 sinx cosx - cosx = 0
cosx (2sinx-1)=0
It means, cosx = 0 and (2sin x -1 ) = 0
cos x = cos0 and sinx = 1/2
x = 90° and x = 30°, 150°
Hence, the possible values of x are 90°, 30° and 150°.
9) 35% of the 12,000 are 50-64 years old.
12,000 x 0.35 = 4,200
4,200 people were 50-64 years old
10) 25% of 596 people are over 64 years old
596 x 0.25 = 194
194 people were older than 64
11) yes, he is correct because 450 x 10%=45 and 450 x 30%=135
The standard form:
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<em>use distributive property</em>
<em>multiply both sides by 8</em>
<em>add 2x to both sides</em>
<em>add 8 to both sides</em>
3/5 ➗ 7/10
3/5 ✖️ 10/7
=30/35
=6/7
