Which of the following scenarios could be represented by the expression 10x+5y?
a) the number of kids in a school class if there are 10 girls and 5 boys.
b)the total number of marbles in a jar if there are 5 green and 10 red.
c) the total weight of a box containing x 5-ounces packages of almonds and y 10-ounce package of peanuts.
d)the cost for x adults and y children to go to the movies if adult tickets are $10 and child tickets are $5.

Which steps could be part of the process in algebraically solving the system of equations, y+5x=x^2+10 and y=4x-10

Juanita wade's new car has an msrp of $28,902.11 including title and processing fees. the premier package which includes surround sound and dvd player costs three times the amount of the in-style package which includes leather seats and select wheels. the total cost of her new car was $34,290.08 which included the 6.5% sales tax. find the cost of the premier package to the nearest cent.

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).