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jek_recluse [69]
3 years ago
8

Help me! Sorry for the other question.... let’s try it again! 1/2 x + 3/5 x = 5/4

Mathematics
2 answers:
Ann [662]3 years ago
8 0

Answer:

x = 1 3/22

Step-by-step explanation:

1/2 x + 3/5 x = 5/4

We need to get rid of the fractions by multiplying by 20 on each side

20 (1/2 x + 3/5 x) = 20 * 5/4

Distribute

10x + 12x = 25

Combine like terms

22x = 25

Divide each side by 22

22x/22 = 25/22

x = 22/22 + 3/22

x = 1 3/22

Volgvan3 years ago
4 0

Answer:

x = 1\frac{3}{22}

Step-by-step explanation:

=> \frac{1}{2} x + \frac{3}{5} x = \frac{5}{4}

LCM = 20

So, Multiplying both sides by 20

=> 20 (\frac{x}{2} + \frac{3x}{5}) = 5 * 5

10 * x + 4*3x = 25\\10x+12x = 25\\22x = 25

Dividing both sides by 22

x = \frac{25}{22}

x = 1\frac{3}{22}

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1. The diameter of a sphere is 21.6 cm. The volume of the sphere is __
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Detailed Answers:

Volume of a Sphere (V) = 4/3 πr^3

1. Diameter (d) = 21.6 cm
Radius (r) = 21.6/2 = 10.8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (10.8)^3
= 4/3 * 22/7 * 1259.712
= 88/21 * 1259.712
=> 5278.79

Volume (V) = 5278.79 cm^3

2. Diameter (d) = 16 cm
Radius (r) = 16/2 = 8 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (8)^3
= 4/3 * 22/7 * 512
= 88/21 * 512
=> 2145.52

Volume (V) = 2145.52 cm^3

3. Diameter (d) = 24 cm
Radius (r) = 24/2 = 12 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (12)^3
= 4/3 * 22/7 * 1728
= 88/21 * 1728
=> 7241.14

Volume (V) = 7241.14 cm^3

4. Diameter (d) = 6 cm
Radius (r) = 6/2 = 3 cm

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (3)^3
= 4/3 * 22/7 * 27
= 88/21 * 27
=> 113.14

Volume (V) = 113.14 cm^3
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1 year ago
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