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UkoKoshka [18]
3 years ago
12

How do you solve this equation 27s-29=54s-83

Mathematics
2 answers:
bogdanovich [222]3 years ago
7 0

Answer: 2

Step-by-step explanation:

27s - 29 = 54s - 83

First of all, subtract 27s from both sides, we get;

27s - 27s - 29 = 54s - 27s - 83

Which gives; - 29 = 27s - 83

Now, add 83 to both sides and we get;

-29 + 83 = 27s - 83 + 83

Which gives; 54 = 27s

Now,we divide both sides by 27 to get; 54/27 = 27s/27

When we divide both sides, the left hand side becomes 2,while the right hand side is "s"; hence, we get s=2 as the answer.

rjkz [21]3 years ago
5 0

Answer:

2

Step-by-step explanation:

27s — 29= 54s — 83

First, you collect like terms

27s — 54s = — 83 + 29

— 27s = — 54

Next, divide both side by the coefficient of s i.e — 27

s = —54/ —27

s = 2

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Answer:

<h3>               f(x) = 6(x - 2)² + 3</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k    - vertex form of the equation of the parabola with vertex (h, k)

"the parabola opens upward" means:  a>0

"the parabola has x = 2 as an axis of symmetry" means:  h = 2

so f(x) = a(x - 2)² + k

"the parabola contains the point (1, 9)" means:

9 = a(1 - 2)² + k

9 = a(-1)² + k

9 = a + k

k = 9 - a

"the parabola contains the point (4, 27)" means:

27 = a(4 - 2)² + k

so:

27 = a(2)² + 9 - a

27 = 4a + 9 - a

3a = 18

a = 6

and  k = 9 - 6 = 3

Therefore the vertex form for this parabola is:

                                     <u> f(x) = 6(x - 2)² + 3</u>

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3 years ago
Half a number is at least 2 units from 20. write the sentence as an absolute value inequality
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|1/2x - 20| ≥ 2

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Answer:

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Step-by-step explanation:

Let price of cheeseburger be x while price of a bag of chips be y hence for the case of Nathan, we can write the equation as x+y=3.75. Similarly, for Jack, we can write it as 2x+3y=8.25

x+y=3.75 hence x=3.75-y and substituting this into the second equation we have

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