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3 years ago

|20x|=2|2x+8| please show all steps and both answers

Mathematics

1 answer:

lukranit [14]3 years ago

7 0

Step-by-step explanation:

20x = 4x +16

16x = 16

x=1

multiply the 2 into the absolute value bars. check if there are negatives. if there aren't, bars can be removed. solve as normal

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Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x)

WINSTONCH [101]

Attached is the solution, long division is hard to type out.
Hope it helps.

6 0

3 years ago

Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3

Basile [38]

Answer:

<em>The mass of the steel ball is 4,235.9 gr</em>

Step-by-step explanation:

<u>Density</u>

The density ρ of a substance is a measure of its mass per unit volume:

$\displaystyle \rho=\frac{m}{V}$

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

$m=\rho.V$

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3$

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3$

Calculating:

$V=523.6\ cm^3$

The mass is:

$m=8.09 gr/cm^3 \cdot 523.6\ cm^3$

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

4 0

3 years ago

You start driving west for 20 miles, turn left, and drive south for another 14 miles. At

pogonyaev

Answer:

About 24.4

Step-by-step explanation:

3 0

3 years ago

A cylinder has a radius of 7 cm and a height of 12 cm. Calculate the total surface area. (Take π = 22/7

ziro4ka [17]

Total surface area of cylinder :

[(22/7)(7)²] × 2 ( area for 2 circles )

[ 2(22/7)(7) ] ×12 ( circumference of circle × height )

836 cm²

i hope my solution helps :))

8 0

3 years ago

Mark read 2 1/2 books last week. This week he read 3 1/3 books. How many more books did Mark read this week and last week?

nikklg [1K]

Answer:

5/6 books

Step-by-step explanation:

We know that Mark read 2 1/2 books last week. This week, he read a bit more with 3 1/3 books.

To find how many more books he read, we must subtract 2 1/2 from 3 1/3:

3 1/3 - 2 1/2

Let's convert these into improper fractions first:

3 1/3 = (3 * 3 + 1) / 3 = 10/3

2 1/2 = (2 * 2 + 1) / 2 = 5/2

Now, we have:

10/3 - 5/2

In order to subtract these, we must find a common denominator. For 2 and 3, the LCM is 6, so we can use that as our common denominator:

10/3 * 2/2 = 20/6

5/2 * 3/3 = 15/6

Finally, we have:

20/6 - 15/6 = (20 - 15) / 6 = 5/6 books

5 0

3 years ago