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olganol [36]
3 years ago
13

When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
7 0

Answer:

35x-35y+21 is the resulting expression

Step-by-step explanation:

Simplify the expression: 0.5(20x-50y+36)-0.25(-100x+40y-12)

The distributive property says that:

a\cdot (b+c) = a\cdot b+ a\cdot c

Apply the distributive property we have;

10x-25y+18-(-25x+10y-3)

remove the open bracket and distribute  -1 into each terms.

10x-25y+18+25x-10y+3

Combine like terms;

35x-35y+21

Therefore, the resulting expression we get, 35x-35y+21

Scilla [17]3 years ago
5 0
.5(20x-50y+36)-.25(-100x+40y-12)
10x-25y+18+25x-10y+3
35x-25y+18-10y+3
35x-35y+18+3
35x-35y+21
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stich3 [128]
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To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

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Hope this helps!
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