A) 8 + 7 + 5 = 20 parts
b) 220 kg ÷ 20 = 11
c) <span> 8 parts crushed gravel: 8 x 11 = 88 kg
7 parts water: 7 x 11 = 77 kg
5 parts cement: 5 x 11 = 55 kg</span>
Bill = $25.85
Tips = 15% x $25.85 = $3.88
Tax = 6.25% x $25.85 = $1.62
Total amount = $25.85 + $3.88 + $1.62 = $31.35
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Answer: He will spend $31.35 in total.
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Answer:
(#14 - supplementary) x = 10.5
(#15 - supplementary) x = 10
Explanation:
For these problems, we must know that a supplementary angle can be viewed as a sum of angles that add to 180 degrees. With this known, we can write our equations to find x.
(#14)
15x - 12 + 5x - 18 = 180
20x - 30 = 180
20x = 210
x = 10.5
(#15)
6x + 13 + 14x - 33 = 180
20x - 20 = 180
20x = 200
x = 10
Hope this helps.
Cheers.
Divide by greatest common factor.
Answer simplified should be 6y(4x^2-1)
Rewrite in the form where a^2-b^2
Answer
6y(2x+1)(2x-1)
Inverse variation is of the form y=k/x or if you prefer yx=k.
z=6.3 bar I assume you mean 6.33333333 forever
10z-z=63.3333...-6.3333
9z=57
z=57/9 (exact)
Now back to the problem...
xz=k, we are told x=3 and we have shown z=57/9 so we can solve for k, the constant of variation
k=3(57/9)=19
So our equation is:
xz=19, now we wish to know what z is when x=8 so
8z=19 divide both sides by 8
z=19/8
z=2.375 (exact, no rounding necessary)
