1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lelu [443]
3 years ago
11

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

Mathematics
1 answer:
ratelena [41]3 years ago
6 0

Answer:

s=2

Step-by-step explanation:

27s-29=54s-83

you want to get each variable on each side, so s on one side of the equal sign and the no variable on the other, but you can just put them there you can to add and subtract a variable of each side of them to get 0.

step 1.) 27s(-54s)-29=54s(-54s)-83

now you have -27s-29=-83, that's half of the equation done

step 2.) -27s-29(+29)=-83(+29)

you addition on this one because the even though it is a subtraction problem a - is always a negative number (think of it as adding a negative number)

you now have -27s=-54

step 3.) -27s/-27=-54/-27

at the end you (usually) always want the variable to be by itself so in this case s and on the left side. the answer is s=2

check.) you can check problems like this by substituting the variable for the number, so here is the check;

27x2-29=54x2-83

54-29=108-83

25=25

25 is the same as 25 which means that 2 is the correct answer

You might be interested in
3. Mrs.Galicia bought 3 tacos and 2 sodas and paid $9.75. The next day she went back and bought 5 tacos and 1 soda and paid $12.
andrey2020 [161]

Answer:

a) 3x + 2y  = 9.75,  5x + y =  12.75  is the required system of equations.

b) The cost of 1 soda =  $1. 5

c) The cost of 1 taco = $2.25

Step-by-step explanation:

Let the cost of each taco = $x

Let the cost of each soda  = $y

Now, according to the question:

3x + 2y  = $9.75

5x + y = $12.75  are the required system of equations.

Now, substituting the value of y = 12.75 - 5x  in (1).

⇒The equation 3x + 2y  = 9.75 becomes 3x + 2(12.75 -5x)  = 9.75

or, 3x - 10x + 25.5  = 9.75

or, -7x = -15.75

⇒ x = 15.75/7  = 2.25

Hence, the cost of 1 taco = $x = $2.25

Now, y =  12.75 - 5x

 = 12.75 - 5(2.25) = 12.75 - 11.25   = = 1.5

or, y =  $1.5.

Hence, the cost of 1 soda =  $y = $1.5

3 0
3 years ago
8, 15, 20, 23, 29, 25, 30, 24, 28, 35, 32, 28, 27, 27, 25, 28, 29, 14, 22, 18 what is the outlier?
Dominik [7]

Answer:

17

Step-by-step explanation:

5 0
3 years ago
Determine whether the following events are mutually exclusive. Choosing a student who is a mathematics major or a chemistry majo
dem82 [27]

Answer:

The events are mutually exclusive.

Step-by-step explanation:

Mutually exclusive event is simply event where the occurrence of one prevents the occurrence of the other. Better put - a disjointed event.

From the illustration, we have been given an assumption, which is, each student has only one major. As such, we have two independent events:

1. A student who only majors in Mathematics

2. A student who only majors in Chemistry.

The implication is that any student chosen could only possess one major and from the illustration, we could only choose one. It therefore follows that choosing one student major prevents the opportunity to field another student major.

Hence, we say such events are mutually exclusive.

4 0
4 years ago
Dilate the rectangle below by a scale factor of 2. If the current side lengths are 15 and 8, what are the side lengths on the ne
Ede4ka [16]

The side lengths on the new dilated rectangle will be 30cm and 16cm

<h3>How to calculate dilation</h3>

Given the following parameters

  • Length = 8cm
  • Breadth = 15cm

If the length and breadth are dilated by a factor of 2, hence the new dimansion will be:

New length = 2(15) =30cm

New width =2(8) = 16cm

Hence the side lengths on the new dilated rectangle will be 30cm and 16cm

Leaen more on dilation here: brainly.com/question/3457976

5 0
3 years ago
Read 2 more answers
What is 6.4X10 to the 8th power meters per second, in kilometers per hour???
Greeley [361]

(6.4 x 10^8 meter/sec) x (1 km / 1,000 meter) x (3,600 sec/hour) =

       (6.4 x 10^8 x 3,600 / 1,000)  km/hour  = 

                            177-7/9 km/hour
 
7 0
3 years ago
Other questions:
  • X - 1/5=1/2 what's x?
    7·2 answers
  • What is the down payment if I have a boat loan for 12,000 of 25% 14% APR for 36 months
    15·1 answer
  • What is the value of 6x+7y−56x+7y−5 when x = 2 and y = 3?
    14·1 answer
  • 1 added by 1 is
    12·2 answers
  • Your cross country coach the you to jog for 12 minutes each day for the first week.
    14·1 answer
  • a team of scientists estimate the current number of butterflies In A park to be 20 thousand. the butterfly population is expecte
    12·2 answers
  • Skip's Dog Shelter rescues collies 3/4 of the collies are older than 10 and 1/3 of the remaining collies are between 3 and 5. If
    13·1 answer
  • Could someone help me with these problems ?
    9·1 answer
  • Answer 2,3,and 4<br> I really need help<br><br><br> thx
    12·2 answers
  • AC = BC, &lt;ACB = 40°, &lt;AMN = 25° &lt;CPM = ?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!