3(x−5)/2=2(x+5)/3
Cross-multiply.
(3(x−5))/2=(2(x+5))/3
3(x−5)*(3)=2(x+5)*(2)
9x−45=4x+20
Subtract 4x from both sides.
9x−45−4x=4x+20−4x
5x−45=20
Add 45 to both sides.
5x−45+45=20+45
5x=65
Divide both sides by 5.
5x/5=65/5
x=13
Answer: 6.1% decrease
Note: It appears that your teacher doesn't want you to type in the percent sign, as that's already covered for you.
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Explanation:
The salary decreased by 51500-48355 = 3145
Divide this over the initial salary to get 3145/51500 = 0.0611 which is approximate.
This converts to the percentage 6.11% and that rounds to 6.1%
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As an alternative, you can use the formula method below
A = old value = 51500
B = new value = 48355
C = percent change when going from A to B
C = [ (B-A)/A ] * 100%
C = [ (48355-51500)/51500 ] * 100%
C = (-3145/51500)*100%
C = -0.0611*100%
C = -6.11%
C = -6.1%
The negative C value indicates a percent decrease.
Answer:
because AB = AC => angle B = angle C
=> 4x - 2 = 6x - 8
<=> 2x = 6
<=> x = 3
Wouldn’t the answer be 19.
Answer:
cos Ф = 11/12
Step-by-step explanation:
Given that:
sinФ =
Putting in Pythagoras theorem:
()^2 + cos^2 Ф = 1
23/144 + cos^2 Ф = 1
Subtracting 23/144 on both sides:
cos^2 Ф = 1 - 23/144
By taking LCM
cos^2 Ф = (144 - 23)/144
cos^2 Ф = 121/144
Taking square root on both sides we get:
cos Ф = 11/12
I hope it will help you!