calicokittycat

Thank you so much! :)

You can first expand the left side, from -4(x+4) to -4x-16

On the other side of the inequality, you can combine like terms, x+7-2x+3 = x-2x+7+3 = -x+10.

The simpolifies inequality is now -4x-16 > -x+10

Adding 4x to both sides, -16 > 3x+10

Subtracting 10 from both sides, -26 > 3x

Dividing 3 from both sides, -26/3 > x

Switching the inequality, we get x < -26/3

:) 

5*14 = 70

5+14 = 19

Not sure if there is a better way, but i just tested some factors of 70

The common difference of an arithmetic sequence is the difference of any two consecutive numbers. The nth term of a sequence, in this case the 27th term, is equal to, (the common difference multiplied by n-1) + the first number in the sequence. Since the common difference in this arithmetic sequence is 10-1=9 or 19-10 = 9, and the first term in the sequence is 1, the 27th term will be 9*(27-1) + 1 = 9*26+1 = 235 :)  

First calculate the numbers of males and females before more members joined. Per 7 females, there are 5 males. 96/12 is 8, and because every 12 people, there are 7 males, 5 males * 8 groups of twelve people is 40, so there were 40 males, and 96 - 40 = 56 females.The total numbers of males and females after the members  joined is 96 + 58 =154, and now for every 11 people, 5 are females and 6 are males. 154/11 = 14, so there are 14 groups of 11 people. 14 groups of eleven people * 5 females per group of eleven = 70. 70 females now - 56 females before more members joined = 14. The total numbers of members that joined is 58, so 58 - 14 is 44. The answer is 44 males have joined. I hope this helped! :)

The answer is A, because line UV:XY is 3:2, line TV:WY is also 3:2, and line UT:XW is equivalent to 3;2. If your unsure about how ratios work, a ratio is basically a fraction. 3:2 is also 3/2. So lets take UV:XY as an example. 18/12 after simplifying is to 3/2, and because ratio is also a way of writing a fraction, 3/2 = 3:2.I hope this helped! :)