B should be the right answer
Answer:
1. a = 2
2. x = 12
3. w = 2
Step-by-step explanation:
1. ok so 2a/5 we would want to separate it to 2/5 and a/5
2/5 x a/5 = 2a/5
next we want to subtract 2/5 from 8/10
8/10 - 2/5 or 8/10 - 4/10 = 4/10
now you have a/5 and 4/10
a/5 = 4/10
now you multiply each side by 5
a/5 x 5 = a
4/10 x 5 = 20/10 or 2
a = 2
2. ok so the x is kinda on it's own for this one but we still wan to get the x and the other numbers on opposite sides
1/16x + 1/4 - 1/4 = 1/16x
1/2 + 1/4 = 3/4
now we do that same last step
1/16x / 1/16 = x
3/4 / 1/16 = 12
x = 12
3. ill do one more and if you need more help just tell me
for this on we have the w on both sides so we have to get the variable(w) and the numbers on opposite sides
2w - 2 + 2 = 2w
1/2w + 7 - 1/2w = 7
2w + 1/2w = 5/2w or 2 1/2w
7 - 2 = 5
now we have to divide each side by 5/12 or 2 1/2
5/2w / 5/2 = w
5 / 5/2 = 2
w = 2
Answer:
197
Step-by-step explanation:
You have 6 sides of this object. So we will calculate six surface areas.
P1=5x5=25 ( on the top)
P2=9x5=45 ( on the bottom)
P3= 5x5= 25 (left side)
P4=6,4x5=32 (rightside)
P5= (9+5)x5/2=70/2=35 ( front trapeze)
P6=P5=35 ( behided trapeze)
P= p1+p2+p3+p4+p5+p6=
25+45+25+32+35+35 =197
The answer can be readily calculated using a single variable, x:
Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%
The problem is then stated as:
(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000
Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.