6x + 3y =21
6x + 3y - 21 = 0
3 (2x + y - 7) = 0
if you need to simplify it, ^ that would be my answer :)
18-carat gold is 75 percent pure, and gold ratings are proportional, you know that...
<span>18 / 75 = 24 / x </span>
<span>X needs to have the same relationship to 24 that 75 has to 18. </span>
To solve, simply cross-multiply (multiply the numerator in one fraction by the denominator in the opposite fraction, and vice versa). The resulting products will be equal. Then, simply divide away the remaining coefficient to solve for x.
<span>18 / 75 = 24 / x </span>
<span>18x = 24 * 75 = 1800 </span>
<span>x = 1800 / 18 = 100 </span>
<span>x = 100 </span>
<span>Therefore, the purity of 24 carat gold is 100%.</span>
Answer/Step-by-step explanation:
9. 17x = 16x + 5 (alternate exterior angle)
17x - 16x = 5
x = 5
Measure of bolded angle = 17x = 17 * 5 = 85
10. 21x - 6 = 20x (corresponding angels)
21x - 20x = 6
x = 6
Measure of bolded angle = 20x = 20(6) = 120
11. (x + 95) + (x + 105) = 180 (linear pair angles)
2x + 200 = 180
2x = 180 - 200
2x = -20
Divide both sides by 2
x = -10
Measure of bolded angle = x + 105 = -17 + 105 = 88°
12. 12x - 4 = 11x + 3 (vertical angles)
Collect like terms
12x - 11x = 4 + 3
x = 7
Measure of bolded angle = 11x + 3 = 77 + 3 = 80°
It landed on red 102 times out of 300 spins
that is 102/300 which can reduce to 17/50 as a fraction
17/50 = 0.34 as a decimal