Answer:
C.
Step-by-step explanation:
3.3*10^3 / 7
= 3300/7
= 471.4
= 4.71*10^2
Center A : 375 per yr
Center B : 35 + 12(12) + 5(52) = 35 + 144 + 260 = 439 per yr
I multiplied 12 * 12 because it was $ 12 a month and there are 12 months in a yr. I multiplied 5 * 52 because each aerobic class is $ 5 per class, and she went once per week, and there are 52 weeks in a yr.
so the cheaper one is Center A
The length of a side of a triangle must be less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
12 in. + 14 in. = 26 in.
14 in. - 12 in. = 2 in.
The third side must measure more than 2 inches and less than 26 inches, but we are told that the 14-inch side is the longest side of the triangle, so the third side must measure less than 14 inches. The largest whole-number length less than 14 inches is 13 inches.
Answer: It measures 13 inches.
C. If you have to add on a number it is nonproportional
(a) Answer: One solution.
Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."
(b) Answer: Infinitely many solutions.
Explanation:
2x + 3y = 5.5
4x + 6y = 11 | divide by 2
-->
2x + 3y = 5.5
2x + 3y = 5.5
--> equations are identical.
2x + 3y = 2x + 3y
so any (x,y) will satisfy this equation. This means infinitely many solutions.
(c) Answer: One solution
Explanation:
Continuing the two lines it becomes obvious they will cross at one point (the solution)
(d) Answer: No solution
Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.
