<p>7) Ahmad has containers of two different sizes. The total capacity of 16 containers of one size is x gallons, and the total capacity of 8 containers of the other size is also x gallons, and x>0. In terms of x, what is the capacity, in gallons, of each of the larger containers?</p>
<p>A) 4x
B) 2x
C) x/2
D) x/8
E) x/16</p>
<p>8) Rectangle ABCD lies in the xy-coordinate plane so that its sides are not parallel to the axes. What is the product of the slpes of all four sides of rectangle ABCD?</p>
<p>A) -2
B) -1
C) 0
D) 1
E) 2</p>
<p>15) If (2^x)+(2^x)+(2+x)+(2^x)+(2^x)=2^7, what is the value of x?</p>
<p>16) Each of 5 people had a blank card on which they wrote a positive integer. If the average (arithmetic mean) of these integers is 15, what is the greatest possible integer that could be on one of the cards?</p>
<p>17) Alice and Corinne stand back to back. They each take 10 steps in opposite directions away from each other and stop. Alice then turns around, walks toward Corinne, and reaches her in 17 stesp. Thel ength of one of Alice's steps is how many times the length of one of Corinne's steps? (All of Alice's steps are the same length and all of Corinne's steps are the same length)</p>
<p>18) Let the function f be defined by f(x)= (x^2)+18. If m is a positive number such that f(2m)= 2f(m), what is the value of m?</p>
<p>can anybody give me the answers and explanations to these questions? thanks!</p>