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3 years ago

Solve 3x-2/4 - 2x-5/3 = 1+x/6

Mathematics

2 answers:

elena-14-01-66 [18.8K]3 years ago

5 0

Answer:

x = 3.8

hope it's helpful ❤❤❤

THANK YOU.

Ksenya-84 [330]3 years ago

3 0

Answer:

x = 12

Step-by-step explanation:

Given

$\frac{3x-2}{4}$ - $\frac{2x-5}{3}$ = $\frac{1+x}{6}$

Multiply through by 12 ( the LCM of 4, 3, 6 ) to clear the fractions

3(3x - 2) - 4(2x - 5) = 2(1 + x) ← distribute parenthesis

9x - 6 - 8x + 20 = 2 + 2x

x + 14 = 2 + 2x ( subtract x from both sides )

14 = 2 + x ( subtract 2 from both sides )

12 = x

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4 years ago

Find the volume of the sphere. Express your answer in terms of pi.

den301095 [7]

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3 years ago

For three consecutive years, Sam invested some money at the start of the year. The first year, he invested x dollars. The second

faust18 [17]

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$\bf \stackrel{\textit{2nd year is \$1500 less than \underline{2x}}}{2x-15000}\qquad \qquad \stackrel{\textit{3rd year is \$1400 more than \underline{x}}}{x+1400} \\\\\\ \boxed{\stackrel{\textit{Sally total investment}}{(x-1000)+(2x-1500)+(x+1400)}}$

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4 years ago

2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3 pi in^3 . One day, her sink clogge

gayaneshka [121]

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4. The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

7 0

3 years ago

Trey has plastic cubes stored in a box that measures 4 ft long, 212 ft wide, and 2 ft tall. The edge length of each plastic cube

castortr0y [4]

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6 0

4 years ago

Read 2 more answers