solve and give answer in fahrenheit 90 Celsius - 105 Fahrenheit
Answers
Step-by-step explanation:
1. Let's solve your equation step-by-step.
0.5x - (0.8 - 0.2x) = 0.2 - 0.3x
Step 1: Simplify the equation.
⇒ 0.5x - (0.8 - 0.2x) = 0.2 - 0.3x
⇒ 0.5x - 0.8 + 0.2x = 0.2 - 0.3x
Step 2: Combine Like Terms
⇒ 0.5x - 0.8 + 0.2x = 0.2 - 0.3x
⇒ 0.5x + 0.2x - 0.8 = 0.2 - 0.3x
⇒ 0.7x - 0.8 = 0.2 - 0.3x
Step 3: Add 0.3x to both sides of the equation.
⇒ 0.7x - 0.8 + 0.3x = 0.2 - 0.3x + 0.3x
⇒ 0.7x + 0.3x - 0.8 = 0.2
⇒ 1x - 0.8 = 0.2
Step 4: Add 0.8 to both sides of the equation.
⇒ x - 0.8 + 0.8 = 0.2 + 0.8
⇒ x = 1
∴ x = 1 in the equation → 0.5x - (0.8 - 0.2x) = 0.2 - 0.3x
__________________________________
2. Let's solve your equation step-by-step.
0.5x +\dfrac{x}{3} =0.25x+70.5x+
3
x
=0.25x+7
Step 1: Simplify the equation.
⇒ 0.5x +\dfrac{x}{3} =0.25x+70.5x+
3
x
=0.25x+7
⇒ \dfrac{5}{10} x +\dfrac{1}{3}x =0.25x+7
10
5
x+
3
1
x=0.25x+7
⇒ \dfrac{5\times 3 }{10\times 3 } x +\dfrac{1\times 10 }{3\times 10}x =0.25x+7
10×3
5×3
x+
3×10
1×10
x=0.25x+7
⇒ \dfrac{15 }{30 } x +\dfrac{10 }{30}x =0.25x+7
30
15
x+
30
10
x=0.25x+7
⇒ \dfrac{25 }{30 } x =0.25x+7
30
25
x=0.25x+7
Step 2: Subtract 0.25x from both sides of the equation.
⇒ \dfrac{25 }{30 } x -0.25x =0.25x+7 - 0.25x
30
25
x−0.25x=0.25x+7−0.25x
⇒ \dfrac{25 }{30 } x -\dfrac{25}{100} x =7
30
25
x−
100
25
x=7
⇒ \dfrac{25\times 10 }{30\times 10 } x -\dfrac{25\times 3 }{100\times 3 } x =7
30×10
25×10
x−
100×3
25×3
x=7
⇒ \dfrac{250 }{300 } x -\dfrac{75}{300 } x =7
300
250
x−
300
75
x=7
⇒ \dfrac{175}{300}x =7
300
175
x=7
Step 3: Multiply \frac{300}{175}
175
300
to both sides of the equation.
⇒ x = 7\times \dfrac{300}{175}x=7×
175
300
⇒ x = \dfrac{300}{25}x=
25
300
⇒ x = 12x=12
∴ x = 12 in the equation → \bf 0.5x +\dfrac{x}{3} =0.25x+70.5x+
3
x
=0.25x+7
0.5x +\dfrac{x}{3} =0.25x+70.5x+
3
x
=0.25x+7