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Law Incorporation [45]
3 years ago
10

Please check my answers for me.

Mathematics
1 answer:
agasfer [191]3 years ago
3 0
QUESTION 1

The given equation is

2.5(10 - x) + 10 = 72 - 1.5(5x + 12)
Clear the decimal by multiplying through by 10 to get,

25(10 - x) + 100 = 720 - 15(5x + 12)

Expand the bracket using the distributive property to get;

250 - 25x + 100 = 720 - 75x - 180

Group similar terms to get,

- 25x + 75x = 720 - 250 - 100 - 180

50x = 720 - 530

50x = 190

Divide through by 50 to get,

x = \frac{190}{50}

x = \frac{19}{5}

QUESTION 2

We want to solve the inequality,

16x \: > \: 12(2x - 6) - 24

We expand the bracket using the distributive property to obtain,

16x \: > \: 24x - 72 - 24

Group similar terms to get,

16x - 24x \: > \: - 72 - 24

Simplify to get,

- 8x \: > \: - 96

We divide both sides of the inequality by -8 and reverse the sign to obtain,

x \: < \: \frac{ - 96}{ - 8}

x \: < \: 12

QUESTION 3


Step 1.

Given:4(-6x – 3)+24x= -72x + 132

Step 2.

Distributive property:
-24x – 12 + 24x = -72x + 132

Step 3.

Combine like terms:
–12 = -72x + 132

Step 4.

Addition property of equality:

-144 = -72x

Step 5.

Division property of equality:

2=x

All the properties stated are correct.
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