Answer: 52 square cm
Step-by-step explanation:
The given surface area formula of a rectangular prism,
S = 2 wl + 2 lh + 2 hw
Where is the length, w is the width and h is the height of the prism,
Here, length, l = 2 cm,
Width, w = 3 cm
And, Height, h = 4 cm
Thus,The required surface area of the prism,
S = 2 × 3 × 2 + 2 × 2 × 4 + 2 × 4 × 3
S = 12 + 16 + 24 = 52 square cm.
Answer:
$104.70
Step-by-step explanation:
The equation would be set up like this: 80.45 + 20.50(3) - 37.25. You started off with $80.45 in your bank account and deposited, or added, $20.50 every day on Tuesday, Wednesday and Thursday. That would mean you added $20.50 three times. Adding $80.45 + $20.50 + $20.50 + $20.50, simplified to $80.45 + $20.50(3) would get you $141.95 in total. Then, on Friday, you withdraw $37.25, getting the equation $141.95 - $37.25, leaving $104.70 for the weekend.
Let the first number be = x
Then the second number = 2x
The third number = 2x - 5
Their sum = 55
This can be written in an equation as =
x + 2x + 2x - 5 = 55
= x + 2x + 2x = 55 + 5 ( transposing -5 from LHS to RHS changes -5 to +5 )
= x + 2x + 2x = 60
= 5x = 60
= x = 60 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 )
= x = 12
The first number = x = 12
The second number = 2x = 2 × 20 = 24
The third number = 2x - 5 = 24 - 5 = 19
Therefore , the three numbers are 12 , 24 and 19 .
we have
----> inequality 1
The solution of the inequality 1 is the shaded area below the solid red line
The solution is the region D and region C
-----> inequality 2
The solution of the inequality 2 is the shaded area above the solid blue line
The solution is the region B and region C
The solution of the system is the common area
so
The solution is the region C
see the attached figure
therefore
the answer is the option C
Region C
This differs on what number you want to talk about. 1 is the hundreds, 8 is the tenths, 7 is the ones.