Answer:
x= -4
Step-by-step explanation:
distribute
combine like terms
subtract 4x from both sides
subtract 8 from both sides
divide both sides by -2
2. C
Slope = 40/8 = 5
Slope of graph c = 5/1 = 5
3. D
Slope = 9/3 = 3
Slope of graph d = 81/27 = 3
Answer: There are 160 different rings.
Step-by-step explanation:
The question is missing, i guess you want to know the number of different rings that the jewelry has:
For the material we have 2 options.
For the stile we have 8 options
For the gem we have 10 options.
Now, the total number of possible combinations is equal to the product of the number of options for each selection, this is:
Combinations = 2*8*10 = 160
Three times the 1st number plus the 2nd number plus twice the 3rd is 5 is the same as 3x+y+2z=5. If three times the 2nd number is subtracted from the sum of the 1st and three times the 3rd number, the result is 2 is just x+3z-3y=2. And if the 3rd number is subtracted from two times the 1st number and three times the 2nd, giving a result of 1 means 2x+3y-z=1. Then you use substition on these equations to get a equation where one variable equals 2 others, like using the first to get y=5-2z-3x and then this can be substituted into the other two to get x+3z-3(5-2z-3x)=2 and 2x+3(5-2z-3x)-z=1 we can then simplify and subtract the equations. After simplification we have 10x+9z=17 and 7z+7x=16 which can be turned into 70x+63z=119 and 70x+70z=160 which can be then subtracted to get that 7z=41 and z=41/7. Now we backtrack to a two variable equation like 7z+7x=16 and plug in to find x. So after plugging in we get 41+7x=16 and 7x=-25 so x=-25/7. Now we choose a 3 variable equation and plug in. So taking y=5-2z-3x we plug in 41/7 for z and -25/7 for x to get y=5-82/7+75/7 and y=5-7/7 and y=4. Therefore x = -25/7 y = 4 and z = 41/7.
Aiko jump roped for 20 minutes before stopping at 8:05. Just count 20 minutes back in order to see when she started.
8:05 - 20 minutes = 7:45
