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sukhopar [10]
3 years ago
10

How do you solve x - 1 + 5x = 23​

Mathematics
2 answers:
Roman55 [17]3 years ago
8 0

Answer:

X=4

Step-by-step explanation:

First you add like terms, in this case 5x and x. Then you have 6x-1=23. You then add 1 from both sides so you end up with 6x=24. This then results in X=4

Leni [432]3 years ago
8 0
X - 1 + 5x = 23 (original equation)
x + 5x = 24 (add 1 to both sides)
x + x = 4.8 (divide 5 by both sides)
2x = 4.8 (combine the x’s)
x = 2.4 (divide 2 by both sides) (answer)
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F(x) = 3x - 5 and g(x) = x + 3, find (1-9)(x).
snow_lady [41]

f(x)= 3x - 5 is x = 5/3

g(x) = x +3 is x = -3

(1-9)(x) is -8x

3 0
3 years ago
Determine the volume of the figure. Use 3.14 for π. Round your answer to the nearest tenth. Show all of your work.
Ostrovityanka [42]

Answer:

1985 cubic units (written as un. with the cubed exponent)

Step-by-step explanation:

First, you find the volume of the cylinder

Here's the formula:

V=\pi r^{2}h\\V=volume\\r=radius\\h=height

Now, you plug in and solve.

V=(3.14)(7.2^{2})(7.4)\\V=(3.14)(51.84)(7.4)\\V=(162.7776)(7.4)\\V=1204.55424\\rounded:\\V=1204.6

Then, you find the volume of the dome.

Here's the formula:

volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius

Now, you just plug in and solve.

V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2

Finally, you add them together, and there's your answer!

1204.6+781.2=1985.8

Hope this helped!

<em>brainliest?</em>

8 0
3 years ago
Please help I need to know before tomorrow
rodikova [14]
The answer is a since 150/6 is 25
8 0
3 years ago
Read 2 more answers
Which fraction represents the decimal 0. ModifyingAbove 1 2 with Bar? One-twelfth StartFraction 3 Over 25 EndFraction StartFract
mestny [16]

The considered decimal number is expressed by the fraction given by: Option C: 4/33

<h3>How to convert from decimal to fraction?</h3>

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example:

0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}

(10 raised to power k = 1 followed by k zeroes)

<h3>What is the sum of an infinite geometric series?</h3>

The sum of an infinite geometric series having the initial term "a" and the multiplication per term is done by "r" such that r < 1

is given by

S_{\infty} = \dfrac{a}{1-r}

The series would look like a+ ar+ ar^2+\cdots

For the considered case, the given decimal number is

0.\overline{12} = 0.121212\cdots

We can check all the options available one by one, so as to know which one ends up giving this pattern, or we can use another technique as shown below.

0.12121...  = (0.1 + 0.001 + 0.00001 + ... ) + (0.02 + 0.0002 + 0.000002 + ... )

Each of the two series obtained are geometric series with the multiplication factor as 1/100

Using the sum formula for evaluation of an infinite geometric series, and the fact that initial term of first series is 0.1 and that of second series is 0.02, we get:
0.121212... = \dfrac{0.1}{1-1/100} + \dfrac{0.02}{1 - 1/100} = \dfrac{1}{99/100}(\dfrac{1}{10} + \dfrac{2}{100})\\0.121212...  = \dfrac{100}{99}\times(\dfrac{10}{100} + \dfrac{2}{100})\\\\\\0.121212 ... = \dfrac{12}{99} = \dfrac{4}{33}

Thus, the considered decimal number is expressed by the fraction given by: Option C: 4/33

Learn more about geometric series here:

brainly.com/question/16037289

4 0
2 years ago
In two or more complete sentences describe why the following series is an example of an infinite series.
Svetlanka [38]

Answer:


Step-by-step explanation:

There are an infinite number of these whole numbers. Thus the series goes on without bounds. Whatever very big number you can think of there is another one which is 1 greater.

4 0
3 years ago
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