To simplify 3a + 2b - 8a + b, we need to combine like terms. Like terms are terms that share common variables. In this expression, the two variables are terms with a and terms with b. The terms that have a are 3a and -8a. The terms that have b are 2b and b. Now we can separate them and simplify.
(3a - 8a) + (2b + b)
-5a + 3b
Answer:
x = 6
Step-by-step explanation:
Step 1: Write equation
75 - 3.5x - 4x = 4x + 6
Step 2: Solve for <em>x</em>
- Combine like terms: 75 - 7.5x = 4x + 6
- Add 7.5x on both sides: 75 = 11.5x + 6
- Subtract 6 on both sides: 69 = 11.5x
- Divide both sides by 11.5: 6 = x
- Rewrite x = 6
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
75 - 3.5(6) - 4(6) = 4(6) + 6
75 - 21 - 24 = 24 + 6
54 - 24 = 30
30 = 30
Step-by-step explanation:
23. area of rect,r = 11 x 3.5 = 38.5cmsq
area of tri, t = 6 x3.5/2 = 10.5 cmsq
area of shaded region, sr = r-t
=> sr = 38.5- 10.5 = 28.5cmsq
24. area of square, s = 10x10 = 100mmsq
area of circle, c = pi x 5^2 = 78.5mmsq
area of shaded region, sr = s - c
=> sr = 100- 78.5 = 22.5mmsq
25. area of circle, c = pi x 6^2 = 113.04insq
area of tri, t = 6x12/2 = 36insq
area of shaded region, sr = c - t
=> sr = 113.04 - 36 = 77.04insq
Answer:
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Step-by-step explanation:
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