Solve equation. Show steps 8+x=4x+2

Mathematics

1 answer:

statuscvo [17]1 year ago

8 0

Answer:

x=2

Step-by-step explanation:

8 + x = 4x +2

Subtract 4x from both sides:

8 + x - 4x = 4x + 2 - 4x

Group like terms:

x - 4x + 8 = 4x + 2 -4x

Simplify the arithmetic:

-3x + 8 = 4x + 2 -4x

Group like terms:

-3 + 8 = 4x - 4x + 2

Simplify the arithmetic:

-3x + 8 = 2

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Use a net to find the surface area of the open cylinder with only one base. Use 3.14 for pi.

Mandarinka [93]

Answer:

251.20 cm square

Step-by-step explanation:

As given in figure

height of cylinder = 2 cm

radius of cylinder = 8 cm

lateral surface area of cylinder is given by = $\pi r l$

where r is the radius and l is the height

Therefore, lateral surface area of given cylinder

$\pi r l = 3.14*8*2 = 50.24$

area of base is give by $\pi r^2$

since there is only one base area of that base

= $\pi r^2 = 3.14*8^2 = 3.14*64 = 200.96$

Thus,

Total surface area of open cylinder = 50.24 + 200.96 = 251.20 cm square

3 0

2 years ago

In a recent year, 31% of all college students were enrolled part-time. If 8.6 million college students were enrolled part-time t

Ronch [10]

Answer:

28 million college students.

Step-by-step explanation:

We can represent all college students as x. This means that all part-time college students are $\frac{31}{100}x$ . Because all part-time college students are also equal to 8.6 million, we have $8,600,000=\frac{31}{100}x$ . To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:

$8,600,00\cdot\frac{100}{31}=x$

The left side of the equation evaluates as $27,741,935.5$ . Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.