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Nezavi [6.7K]
3 years ago
9

(x/3)+5=2x-70 solve for x what are the steps

Mathematics
2 answers:
Ket [755]3 years ago
6 0
\frac{x}{3}+5=2x-70\ \ \ \ \ \ |\cdot3\\\\x+15=6x-210\ \ \ \ |combine\ like\ terms\\\\x-6x=-210-15\ \ \ \ |simplify\\\\-5x=-225\ \ \ \ \ \ \ |:-5\\\\x=45
Gnom [1K]3 years ago
4 0
(x/3)+5=2x-70
3[(x/3)+5]=[2x-70]3
x+15=6x-210
  +210    +210
x+225=6x
-x         -x
5x=225
x=45
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What is 720° converted to radians? <br> a) 1/4<br> b) pi/4<br> c) 4/pi<br> d) 4pi
baherus [9]

4π radians

<h3>Further explanation</h3>

We provide an angle of 720° that will be instantly converted to radians.

Recognize these:

  • \boxed{ \ 1 \ revolution = 360 \ degrees = 2 \pi \ radians \ }
  • \boxed{ \ 0.5 \ revolutions = 180 \ degrees = \pi \ radians \ }

From the conversion previous we can produce the formula as follows:

  • \boxed{\boxed{ \ Radians = degrees \times \bigg( \frac{\pi }{180^0} \bigg) \ }}
  • \boxed{\boxed{ \ Degrees = radians \times \bigg( \frac{180^0}{\pi } \bigg) \ }}

We can state the following:

  • Degrees to radians, multiply by \frac{\pi }{180^0}
  • Radians to degrees, multiply by \frac{180^0}{\pi }

Given α = 720°. Let us convert this degree to radians.

\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }

720° and 180° crossed out. They can be divided by 180°.

\boxed{ \ \alpha = 4 \times \pi \ }

Hence, \boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}

- - - - - - -

<u>Another example:</u>

Convert \boxed{ \ \frac{4}{3} \pi \ radians \ } to degrees.

\alpha = \frac{4}{3} \pi \ radians \rightarrow \alpha = \frac{4}{3} \pi \times \frac{180^0}{\pi }

180° and 3 crossed out. Likewise with π.

Thus, \boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}

<h3>Learn more  </h3>
  1. A triangle is rotated 90° about the origin brainly.com/question/2992432  
  2. The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053  
  3. What is 270° converted to radians? brainly.com/question/3161884

Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula

6 0
3 years ago
Read 2 more answers
A box contains four equal sized cards labeled 1, 3,5, and 7. Tim will select one card from the bow. What is the probability that
Zielflug [23.3K]

Answer: The probability is zero.

Step-by-step explanation:

The labels on the 4 cards are 1, 3, 5 and 7. Because the cards are equal, the probability of dragging at random each one of them is equal to 1/4 = 0.25.

Now, the probability that Tim selects a card labeled with a 4 is equal to the number of cards labeled with a 4, divided the total number of cards.

We do not have cards labeled with a 4, so the probability is:

p = 0/4 = 0

because we do not have any card labeled with a 4, the probability of selecting one at random is equal to zero.

8 0
3 years ago
8x + 11 = 2(4x - 7) + 25<br> Step by step please!
Dimas [21]

Step-by-step explanation:

8x + 11=2(4x-7) + 25

8x + 11 = 8x - 14 + 25

8x + 11=8x- 14 + 14 +25 + 11

8x-8x + 11 -11 = 14 + 25 + 11

8x-8x =14 + 25 + 11

X = 50

3 0
3 years ago
Which is the correct answer
VashaNatasha [74]

Let s denote the number of pages in each issue of the sports magazine.

Let t denote the number of pages in each issue of the technology magazine.

Given that a sports magazine prints 12 issues per year and a technology magazine prints 10 issues per year.The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year.

This can be written in equation as,

12s=10t+32

Since, it is given that, "Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine".

This can be written in equation as,

s=t-18

Thus, the set of equations that represent the given data is

12s=10t+32 and s=t-18

Hence, Option A is the correct answer.

7 0
4 years ago
When g(x) = 3x, what is g(5)?
tamaranim1 [39]

Answer:

g(5) = 15

Explanation:

If the x in g(x) is 5 then the x beside 3 would also be 5.

g(5) = 3(5)

g(5) = 15

Hope this helps, good luck!

3 0
3 years ago
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