Algebra, arithmetic, reasoning.
Choose an option to check your answer.
If 55% are girls, then 45% are boys.
Forty-five percent of 480 is 216.
Choose an option to check your answer.
The total is 400 people.
Males represent 240/400 × 100 = 60%.
Choose an option to check your answer.
The first term is 8 and common ratio is 1/2.
The sum is a/(1-r) = 8/(1/2) = 16.
Choose an option to check your answer.
A full pie chart is 360°.
Thus, 72/360 × 100 = 20%.
Choose an option to check your answer.
The increase is 25 on a base of 125.
Thus, 25/125 × 100 = 20%.
Choose an option to check your answer.
For ax² + bx + c = 0, the sum of roots is -b/a.
Here, -(-9)/1 = 9.
Choose an option to check your answer.
Use inclusion-exclusion: 80 + 60 - 20.
This gives 120 people who prefer at least one.
Choose an option to check your answer.
The two largest shares are 35% and 25%.
Their combined share is 60%.
Choose an option to check your answer.
For ax² + bx + c = 0, the product of roots is c/a.
Here, 20/1 = 20.
Choose an option to check your answer.
The total production is 210 units.
Dividing by 4 gives 52.5 units.
Choose an option to check your answer.
The digit sum of 568 is 19, which leaves remainder 1 when divided by 9.
Adding 8 makes the digit sum 27, divisible by 9.
Choose an option to check your answer.
Substitute x = -4 into the expression.
Then y = 3(-4) - 2 = -14.
