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Sonja [21]
3 years ago
7

Celebrity A has 400 followers on social media but gains 25 followers each day, Celebrity B has 1,000 followers but is loosing 25

each day. how many days until will it take for them to reach the same amount of followers
Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0

Answer:

12 Days.

Step-by-step explanation:

12×25=300

400+300=700

1000-300=700

ElenaW [278]3 years ago
7 0

Answer:

The days will it take them to have the same number of followers is:

6 days.

Step-by-step explanation:

To solve the proposed exercise, an equation must be made for each one taking into account the information obtained:

Followers Celebrity A = 400 + 75d

Followers Celebrity B = 1000 - 25d

Where d is the number of days elapsed. Since you want to identify the day in which they will have the same number of followers, you proceed to match the two equations:

400 + 75d = 1000 - 25d

And you clear the variable d (remember that those who are adding to one side of equality, go to the other side to subtract and, if they are subtracting to one side of equality, go to add):

400 + 75d = 1000 - 25d

75d + 25d = 1000 - 400

100d = 600

d = 600/100

d = 6 days

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1.Solve the equation. Check for extraneous solutions.
elena55 [62]
Okay so I did the math. 

1. Two solutions were found :<span><span> 
z=-1
</span><span>z=2/3
</span></span><span>Step  1  :</span>Rearrange this Absolute Value Equation

Absolute value equalitiy entered
      |2z-3| = 4z-1 

<span>Step  2  :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |2z-3|

 </span>For the Negative case we'll use -(2z-3) 

For the Positive case we'll use (2z-3) 

<span>Step  3  :</span>Solve the Negative Case

      -(2z-3) = 4z-1 

     Multiply
      -2z+3 = 4z-1 

     Rearrange and Add up
      -6z = -4 

     Divide both sides by 6 
      -z = -(2/3) 

     Multiply both sides by (-1) 
      z = (2/3) 
     Which is the solution for the Negative Case

<span>Step  4  :</span>Solve the Positive Case

      (2z-3) = 4z-1 

     Rearrange and Add up
      -2z = 2 

     Divide both sides by 2 
      -z = 1 

     Multiply both sides by (-1) 
      z = -1 
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

<span> z=2/3
</span><span> z=-1

2. </span>-6 < x < 26/3

<span>Step  1  :</span>Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
      |3x-4|+5 < 27 

Another term is moved / added to the right hand side.

      |3x-4| < 22 

<span>Step  2  :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |3x-4|

 </span>For the Negative case we'll use -(3x-4) 

For the Positive case we'll use (3x-4) 

<span>Step  3  :</span>Solve the Negative Case

      -(3x-4) < 22 

     Multiply
      -3x+4 < 22 

     Rearrange and Add up
      -3x < 18 

     Divide both sides by 3 
      -x < 6 

     Multiply both sides by (-1) 
     Remember to flip the inequality sign 
      x > -6 
     Which is the solution for the Negative Case

<span>Step  4  :</span>Solve the Positive Case

      (3x-4) < 22 

     Rearrange and Add up
      3x < 26 

     Divide both sides by 3 
      x < (26/3) 

     Which is the solution for the Positive Case

<span>Step  5  :</span>Wrap up the solution

    -6 < x < 26/3

Solution in Interval Notation

    (-6,26/3) 

HOPE THIS HELPS :D
7 0
3 years ago
If I am adding one positive number and one negative number, will the answer be positive or negative? What does it depend on?
maxonik [38]

It depends on which number has the greatest absolute value.

Think about it as money

If you owe me $10, this is shown as -10

Now  if I give you back 2 dollars  (+2), How much money do I still owe you.

The equation is -10+2

I still owe you 8 dollars which is portrayed as -8

Hope this helps :)

8 0
2 years ago
Car A, traveling at a constant 10 m/s, crosses the start line 3 seconds before Car B, who is traveling at a constant 15 m/s. At
Margaret [11]
The distance between Car A and car B,When Car A crosses the start line is:
distance =speed car B* time
distance=(15 m/s)(3 s)=45 m
 
Distance traveled by car A =x,  (when the car B is at the same distance from the start line)
time of car A=t

x=10 m/st  ⇒    x=10t    (1)

Distance traveled by car B=x
time of car B=t-3

x=15(t-3)  (2)

With the equations (1) and (2) we make a system of equations:

x=10t
x=15(t-3)

We solve this system of equations:

10t=15(t-3)
10t=15t-45
-5t=-45
t=-45 / -5
t=9

t-3=9-3=6

x=10 t=10 (9)=90

Answer: The time would be 9 seconds for Car A and 6 seconds for car B and the distance would be 90 meters.
8 0
3 years ago
Chelsea and Ming are selling pies for a school fundraiser. Customers can buy blueberry pies and lemon pies. Chelsea sold 7 blueb
riadik2000 [5.3K]

Answer:

The cost of 1 blueberry is $7

The cost of 1 lemon pie is $17

Step-by-step explanation:

Given as :

The number of blueberry sold by Chelsea = 7

The number of lemon pie sold by Chelsea = 10

The number of blueberry sold by Ming = 5

The number of lemon pie sold by Ming = 1

The total selling amount of Chelsea = $219

The total selling amount of Ming = $52

Let The cost of 1 blueberry = b

And The cost of 1 lemon pie = l

Now, According to question

<u>For Chelsea</u>

7 b + 10 l = $219             ..................1

<u>For Ming</u>

5 b + 1 l = $52                .................2

Solving both equations

10×(5 b + 1 l ) - (7 b + 10 l) = 10×52 - 219

Or, 50 b + 10 l - 7 b - 10 l = 520 - 219

Or, (50 b - 7 b) + (10 l - 10 l) = 301

Or, 50 b - 7 b+ 0 = 301

Or, 43 b = 301

∴ b = \frac{301}{43}

I.e b = $7

So, The cost of 1 blueberry = b = $7

Put the value of b in eq 2

So, 5 × 7 + 1 l = $52  

or, 35 + l = $ 52

Or, l = 52 - 35

∴   l = $17

So,  The cost of 1 lemon pie = l = $17

Hence The cost of 1 blueberry is $7

And The cost of 1 lemon pie is $17     Answer

4 0
2 years ago
Convert 36% to a fraction in simplest form.
ioda

9/25 is the answer. Your welcome

3 0
2 years ago
Read 2 more answers
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