Answer:
x=34
Step-by-step explanation:
x+(x+12)+(100) = 180
2x+112=180
x=68
x=34
Answer:
94 cm^2
Step-by-step explanation:
The surface area of a rectangular prism can be found using:
A=2(wl+hl+hw)
We know the width is 3, the height is 5, and the length is 4. We can substitute 3 in for w, 5 in for h, and 4 in for l.
A=2((3*4)+(5*4)+(5*3))
Multiply 3 and 4
A=2(12+(5*4)+(5*3))
Multiply 5 and 4
A=2(12+20+(5*3))
Multiply 5 and 3
A=2(12+20+15)
Add 12 and 20 and 15
A=2(47)
Multiply 2 and 47
A=94
So, the the surface area is 94 cm^2
Answer:
c. Ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.
Step-by-step explanation:
Margin of error:
"It means the percentage difference of the result above or below the exact value."
i.e. 4 percent of margin error in the question means that the result will be either 4 percent above the 29 percent or 4 percent below the 29 percent.
OR "the result can vary upto 4 percent above or below the 29 percent."
Let me simplify the answer first in number then convert it percent to understand easily.
29 percent of 1000= (29/100)*1000=290
4 percent of 1000=(4/100)*1000=40
If 290 students had read the declaration of independence at least once with 40 margin of error, then it means the number of students that had read declaration of independence may be 330 or 250
250 is 25% of 1000 and 330 is 33% of 1000, that is why ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.
I worked them out separately if I'm correct, then the order is:
x+5y=-2
x+5y=4 These are Inconsistent
y=3x+4
-2x+y=4 These are Consistent independent
3x+y=4
-6x-2y=-8 These are coincident
Inconsistent lines=No solution
Coincident lines=exactly on top of each other
Consistent Independant= Solution, as they cross each other.
~Hope this helps!
