after a 30% reduction, you purchase a dictionary for $30.80 what was the dictionary price before the reduction

Answers

Answer 1
Answer:

The dictionary price before the reduction is $44

How to determine the dictionary price before the reduction

From the question, we have the following parameters that can be used in our computation:

Reduction = 30%

Price after = $30.80

Using the above as a guide, we have the following:

Price after =  Price before * (1 - Reduction)

substitute the known values in the above equation, so, we have the following representation

Price before * (1 - 30%) = 30.80

Evaluate

Price before = 44

Hence, the dictionary price before the reduction is $44

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Answer 2
Answer:

Answer:

Well the original price would be $44

Step-by-step explanation:

So make an equation

Lets make X stand for the price before the deduction

so x-x(0.3)=30.80

Subtracting the X by x(0.3) would tell us the price, the 0.3 stands for 30 percent and we know its 30 percent of X so we subtract that since 0.3x would give the change

Now just solve the equation

You’ll get 44.


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What is the end behavior of the graph of the polynomial function f(x) = –x^5 + 9x^4 – 18x^3?

Can i get some help ?:

Answers

Answer:

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

Step-by-step explanation:

7 + 3² - 2.5 / 4 - 1.2 = 4.82142857

( 3/4 + 1/8 ) ÷ 1/8 - 2² = 3

Which means :

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

Help me out! I always mark brainliest. Unless of course, it is incorrect or inadequate. Please include how you did the problem. Thanks!

Answers

If 2 + 5i is a zero, then by the complex conjugate root theorem, we must have its conjugate as a zero to have a polynomial containing real coefficients. Therefore, the zeros are -3, 2 + 5i, and 2 - 5i. We have three zeros so this is a degree 3 polynomial (n = 3).
f(x) has the equation
                        f(x) = (x+3)(x - (2 + 5i))(x - (2 - 5i))
If we expand this polynomial out, we get the simplest standard form
                        f(x) = x^3-x^2+17x+87
Therefore the answer to this question is f(x) = x^3-x^2+17x+87

Which is the graph of y = |3x| - 2?

Answers

Answer: the third graph

Step-by-step explanation:

Ok so one way to do this is by plugging in points which is long but easiest. So since it’s the absolute value, whenever it passes the y- axis to the negative side, it will go up. So we know it’s either the third or last. The y intercept is -2, and the graph with that is the third.

Answer:

The third option.

Step-by-step explanation:

What is the soultion to the system of equation graphed below ?

Answers

Hello,
answer D (-2,3)

Indeed
y=4x+11
y=-2x-1

==>4x+11=-2x-1
==>6x=-12
==>x=-2

And y=4*(-2)+11=3

Newton and his friends were watching a movie. They watch 50% of the movie and then take a break. Then they watch the remaining 65 minutes of the movie. How long was the whole movie

Answers

The length of the whole movie was 130 minutes.

Let's call the length of the whole movie "x". According to the problem, Newton and his friends watch 50% of the movie before taking a break. This means they watched 0.5x minutes of the movie.

After the break, they watch the remaining 65 minutes of the movie. So the total time they watched the movie is:

0.5x + 65

But we know that the total time they watched the movie is the same as the length of the whole movie "x". So we can set these two expressions equal to each other and solve for "x":

0.5x + 65 = x

Subtracting 0.5x from both sides, we get:

65 = 0.5x

Dividing both sides by 0.5, we get:

x = 130

Therefore, the length of the whole movie was 130 minutes.

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Hot Air Balloon 1 is 10 meters above the ground, rising 15 meters per minute, and Hot Air Balloon 2 is 150 meters above the ground descending 20 meters per minute. In how many minutes will the balloons be at the same height?
How high will the balloons be at that time?
(Let x represent the time and y represent the height)

Answers

The time at which the ballons are at the same height is 4 minutes and the height of the ballons at that time is 70 meters and this can be determined by using the given data.

Given :

  • Hot Air Balloon 1 is 10 meters above the ground, rising 15 meters per minute.
  • Hot Air Balloon 2 is 150 meters above the ground descending 20 meters per minute.

The following steps can be used in order to determine the time in minutes at which the balloons be at the same height and also the height of the ballons:

Step 1 - The height of balloon 1 from the ground is:

H_1= 10+15t

where 't' is the time.

Step 2 - The height of balloon 2 from the ground is:

H_2= 150-20t

where 't' is the time.

Step 3 - So, the time at which the ballons are at the same height is calculated as:

\begin{aligned}\n15t +10&=150-20t\n35t &= 140\nt& = 4\;{\rm minutes}\n\end{aligned}

Step 4 - So, the height of the ballons at (t = 4) is:

{\rm Height} = 10+15* (4)

{\rm Height} = 70\;{\rm meters}

The time at which the ballons are at the same height is 4 minutes and the height of the ballons at that time is 70 meters.

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You have two equations
y = 10 + 15x   and    y = 150 - 20x
since  y = y   you can get
10 + 15x = 150 - 20x    now we solve for x
      +20x         +20x     add 20x to both sides
10 + 35x = 150    now subtract 10 from both sides
-10             -10
35x = 140    then divide both sides by 35
/35      /35
so  x = 4 minutes

to find what high they are at 4 minutes
plug 4 back into the equation for x
y = 10 + 15(4) = 10 + 60 = 70
so  70 meters from the ground