3(21+15) is 3*21 and 3*15 which equal 63+45 which is 108 dollars
If you would like to solve the inequation 4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8, you can do this using the following steps:
4 * x - 4 - 3 * x > 13 - 7 * x - 1 + 8
4 * x - 3 * x + 7 * x > 4 + 13 - 1 + 8
8 * x > 24 /8
x > 24/8
x > 3
The correct result would be x > 3.
Answer:
The answer to your question is Yes, he can buy it.
Step-by-step explanation:
Data
Money saved = $35
Original Price = $42
Discount = 30%
Tax = 5 %
Process
1.- Calculate the price of the Video game with the discount
$42 --------------------- 100%
x --------------------- 30%
x = (30 x 42) / 100
x = $ 12.6
Price with discount = 42 - 12.6
= $ 29.4
2.- Calculate the price of the Video game plus taxes
$29.4 ------------------- 100%
x ------------------- 5%
x = (5 x 29.4) / 100
x = 147 / 100
x = 1.47
Price plus taxes = 29.4 + 1.47
= $ 30.87
3.- Conclusion
Bruce can buy the Video game because he saved $35 and the video game plus taxes cost $30.87.
Answer:
See proof below
Step-by-step explanation
cot^2(x) - csc^2(x) = -1
In trigonometry identity
cot^2x = cos²x/sin²x
Csc²x = 1/sin²x
Substitute into the original expression
cos²x/sin²x - 1/sin²x
Find the LCM
(Cos²x-1)/sin²x .... *
Recall that sin²x+cos²x = 1
Sin²x = 1-cos²x
-sin²x = -1+cos²x
-sin²x = cos²x-1 .... **
Substitute ** into *
(Cos²x-1)/sin²x
-sin²x/sin²x
= -1 (RHS)
Therefore cot^2(x) - csc^2(x) = -1 (Proved!)
This is the order from smallest to greatest: -10,-5,0,5,10
