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Temka [501]
3 years ago
13

Solve. Chanasia has 6.25 gallons of paint. She wants to use 2/5 of the paint to paint her living room. How many gallons of paint

will Chanasia use?
Mathematics
1 answer:
deff fn [24]3 years ago
3 0

Answer: 2.5 gallons

Step-by-step explanation:

Given that:

Gallons of paint had = 6.25 gallons

Amount needed to paint room = 2/5 of the paint

Gallons of paint needed :

2/5 of 6.25

(2 * 6.25) / 5 gallons

= 12.5 / 5

= 2.5 gallons

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The following can be deduced from the expressions

m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12

Please note that the sum of angles in a triangle is 180 degress. Therefore,

M∠ A + m ∠ B + m ∠ D = 180equation(3)

Substitute for equation 1 and 2 in equation 3 as shown below

m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
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Substitute for m∠A= 24 in equation 1 and 2 as shown below

m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
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m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0

,

∠= °

∠= °

∠= °
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