A bag contains 70 coins consisting of quarters and dimes. The total value of coins is $11.50. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

A. d+9= 70
0.100 +0.25q = 11.50

B. d + 9 = 70
0.25d + 0.107 = 11.50

C. d+q = 11.50
0.25d + 0.10g = 70

D. d +9 = 11.50
0.100 +0.25= 70

Follow these steps using the algebra tiles to solve the equation −5x + (−2) = −2x + 4. 1. add 5 positive x-tiles to both sides and create zero pairs. 2. add 4 negative unit tiles to both sides and create zero pairs. 3. divide the unit tiles evenly among the x-tiles. x =

Which ratios are equivalent to 10: 16? check all that apply. 30 to 48 25: 35 8: 32 5 to 15

Aprofessional hockey team has noticed that, over the past several seasons, as the number of wins increases, the total number of hot dogs sold at the concession stands increases. the hockey team concludes that winning makes people crave hot dogs. what is wrong with the hockey team's conclusion? a) it does not take into account the attendance during each season. b) it does not take into account the number of hamburgers sold during each season. c) it does not take into account the number of concession stands in the hockey arena. d) it does not take into account the number of seasons the hockey team has been in existence.