Answer:
3
Explanation:
Apply Multiplicative Distribution Law:
{x + y =9
{8x + 24y = 120
Reduce the greatest common factor on both sides of the equation.
{x + y = 9
{x + 3y = 15
Subtract the two equations: x + y - (x +3y) = 9 - 15
Remove paranthesis: x + y - x - 3y = 9 - 15
Cancel the unknown variables: y - 3y = 9 - 15
Combine like terms: -2y=9 - 15
Calculate the sum or difference: -2y = -6
Reduce the greatest common factor on both sides of the equation: y =3
Substitute one unknown quantity into the elimination: x + 3 = 9
Rearrange unknown terms to the left side of the equation: x = 9 - 3
Calculate the sum or difference: x = 6
Write the solution set of equations: {x = 6
{y = 3
Substitute: 6 - 3
Calculate the sum or difference: 3
Answer: 3
A ratio shows us the number of times a number contains another number. The ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.
<h3>What is a Ratio?</h3>
A ratio shows us the number of times a number contains another number.
At the school play Abby handed out 250 programs and Kim handed out 300. Therefore, the ratio of the number of programs Abby handed out to the number programs Kim handed out is,
Ratio = (Number of programs Abby handed out)/(Number of programs Kim handed out)
Ratio = 250 / 300 = 5/6
Hence, the ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.
Learn more about Ratios:
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Answer:
x = 7
Step-by-step explanation:
If u // v, then
19x - 3 = 130 {Corresponding angles are congruent}
19x = 130 + 3
19x = 133
x = 133/19
x = 7
