The correct way to solve this equation would be:
7=5+3(x-4)
Distribute the Brackets.
3*x=3x
3*4=12
7=5+3x-12
Add like terms.
7=-7+3x
Add 7 to both sides.
(7)+7=(-7+3x)+7
14=3x
Divide both sides by 3.
(14)/3=(3x)/3
4.6667 or 14/3 =x
Both answers are incorrect.
Some the significant mistakes:
-Didn't follow BEDMAS
-How did 7=8(x-4) turn into 78=x-4?
Hope this helps.
-Benjamin
The answer is 385mi. 110mi/2hr = 55mi/1hr=385mi/7hr
1. First find the LCD of the two fractions.
They share the denominator 6.
Turn 1/2 into a fraction with a denominator of 6.
2*3=6, so 1*3=3
3/6
Now add.
Leave denominators alone, but add numerators.
3+5=8
8/6
Now simplify.
Divide both by 2.
8/2=4
6/2=3
4/3 is your answer or 1 1/3
2. Multiply straight across.
3*2=6
4*7=28
6/28
Simplify
You get 3/14 as your answer.
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<h3>
Answer: Choice B</h3><h3>
sqrt(3)/2, 1/2, sqrt(3)</h3>
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Explanation:
Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12
Sin(angle) = opposite/hypotenuse
sin(A) = BC/AB
sin(A) = 6sqrt(3)/12
sin(A) = sqrt(3)/2
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Cosine is the ratio of the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 6/12
cos(A) = 1/2
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Tangent is the ratio of the opposite and adjacent
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 6sqrt(3)/6
tan(A) = sqrt(3)
