Answer:
The value of r=
The value of x=
Step-by-step explanation:
Given that,
A) 
Now,
8(2r-2)=9(7r+10)
16r-16=63r+90
-16-90=63r-16r
-(16+90)=47r
-106=47r
r=
B) 
Now,
5(x+5)=9[3(x-2)-1]
5x+25=9[3x-6-1]
5x+25=9[3x-7]
5x+25=27x-63
25+63=27x+5x
83=32x
x=
Answer: nth=4x
Step-by-step explanation: 4,8,16,32
So when x=1 nth=4
Then 4x should be the answer we need to find any term
Answer:
Dots sold 152 t-shirts and 38 shorts sold.
Step-by-step explanation:
Let t = t-shirts and s = shorts.
We know that people bought 4 times as many t-shorts as shorts, which can be set to the equation t = 4s
Since t-shirts cost $2, shorts cost $4, and the total sales was $456, we can set the equation 2t +4s = 456
So our two equations are:
t = 4s
2t + 4s = 456
Substitute t from the 1st equation into the 2nd:
2(4s) + 4s = 456
8s + 4s = 456
12s = 456
s = 38
There were 38 shorts sold.
Since we have the number of shorts, we can plug that back into the 1st equation to find the number of t-shirts sold:
t = 4s
t = 4(38)
t = 152
There were 152 t-shirts sold.
