What is the value of x? Enter your answer in the box. x =

Answer:

Number of comic books is 75.

Original price of each comic book is 4$.

Step-by-step explanation:

There were 75 comics in the box originally.

An equation is the statement of equality between two expressions consisting of variables and/or numbers.

Given that, Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother and then sold the rest on an internet website for $330, making a profit of $1.50 on each one.

Let x be the number of comics originally

(x - 15) is the number of comics sold.

Original price of each comic = 300/x

Price of comics which she gave to brother = 15*300/x

Original price of all the books that has been sold  = 300 - 15*300/x

Tayla's profit = 330 - (300 - 15*300/x) = 30 + 15*300/x

Number of comics sold = (30 + 15*300/x)/1.5

Equation will be,

(30 + 15*300/x)/1.5 = x - 15

20 + 3000/x = x - 15

(x² - 15x - 3000)/x = 20

x² - 35x - 3000 = 0

On factorizing the quadratic equation, we get,

x = 75 or -40 (Neglecting -40, because number of books can't be negative)

Hence, there were 75 comic books in the box originally.

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Step-1 : Multiply the coefficient of the first term by the constant   3 • -20 = -60  

Step-2 : Find two factors of  -60  whose sum equals the coefficient of the middle term, which is   -11 .

     -60    +    1    =    -59  

     -30    +    2    =    -28  

     -20    +    3    =    -17  

-15    +    4    =    -11  

                           That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  4  

                    3x2 - 15x + 4x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (3x+4)  •  (x-5)

            Which is the desired factorization

Answer:

30

Step-by-step explanation:

since it can be equal to 30 that means the answer is 30

Answer:

30

Step-by-step explanation:

if the interger can be equal to 30, it can be 30

Answer:

1

Step-by-step explanation:

Y2-Y1/X2-X1 would become 4-6/3-5 which would become-2/-2 and that equals 1 because its a whole number and when you divide or add two negative numbers, it becomes a positive

Answer:

110 pounds

Step-by-step explanation:

Let the weight of Sandra, Peter and Martin be S, P and M pounds respectively.

S +P= 275 -----(1)

S +M= 245 -----(2)

S +P +M= 410 -----(3)

(3) -(1):

S +P +M -(S +P)= 410 -275

S +P +M -S -P= 135

M= 135

Substitute M= 135 into (2):

S +135= 245

S= 245 -135

S= 110

Thus, Sarah weighs 110 pounds.

Answer: that they are

Step-by-step explanation:

Answer:

1+1???????? 1+1=2. :/

Answer:  f(2) is 3.

Step-by-step explanation:

f(2) just means "what is the vale of the function, f, when x = 2?  Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3.  So f(2) = 3.

======

[One could also determine the equation for the line.  Provided below.]  

The slope is -(1/2) and the y-intercept is 4:

y = -(1/2)x + 4

For x=2,

y = -(1/2)*(2) + 4

y = 3  

y(2) = 3  

Answer:

$29.88

Step-by-step explanation:

$12.45 / 5

$2.95 each pound

2.95 * 12

29.88

Answer:

b=2

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

When y is 13 ,

9 + y

9 + 13 = 22

 846

Step-by-step explanation:

Answer:

I think so..I'm not really sure though, u know?

Answer:

7 is the required answer.

Step-by-step explanation:

4200 ÷ 7 = 600

Answer:

D. No, because two of the y-values are the same

Step-by-step explanation:

The y values cannot be the same

Answer:C

Step-by-step explanation:

Answer:

B is the answer I'm pretty sure

Answer:

13

Step-by-step explanation:

30 plus 9 is 39

6 minus 3 is 3

39 divided by 3 is 13

Answer:

the answer is D 33

Step-by-step explanation:

Answer:

3769.91 cm³

Step-by-step explanation:

For Small Cylinder:

Volume = height × π × r²

Volume = 12 cm × π × 10² cm

Volume = 3769.91  cm³

For Large Cylinder:

Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.

Volume = (height × 2) × π × (r × 2)²

Volume = (12 × 2) × π × (10 × 2)²

Volume = 24 cm × π × 20²

Volume = 30159.29 cm³

Answer:

Below.

Step-by-step explanation:

The volume of the smallest cylinder

= πr^2h

= π*10^2*12

= 1200π cm*3.

Now as the radius and height of  the large cylinder are 2 times the radius and height of the small one

Volume of the large cylinder = 2^3  = 8 times the volume of the small one

= 8* 1200π

= 9600π cm^3.

Answer:

In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.

Step-by-step explanation:

Complex Integer

(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.

Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.

The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.

Answer:

An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.

Step-by-step explanation:

Answer:

That distance is 6.4

Step-by-step explanation:

The legs of the triangle form a right angle.  The bottom leg has length 8 - 3, or 5, and the vertical leg -3 - (-7), or 4.  Applying the Pythagorean Theorem:

(vertical leg)^2 + (horizontal leg)^2 = (hypotenuse)^2, which here is

4^2 + 5^2 = (hypotenuse)^2

This works out to 16 + 25, or 41.

The distance between these two points is d = √41, or d = 6.4

Answer:

(x + 11) ÷ 9 = 67

or

[tex]\frac{(x + 11)}{9}[/tex] = 67

Step-by-step explanation:

Let x be the number

Answer:

Step-by-step explanation:

So you can do that for me and you have a lot to say I don’t want you have a lot

Answer:

1 + 1 is 2

Step-by-step explanation:

very hard question

Answer:

Step-by-step explanation:

1+1= 2

Answer:

6 cm

8 cm

10 cm

Step-by-step explanation:

3:4:5

3 + 4 + 5 = 12

total 12 parts

24cm / 12 = 2cm per part

3 * 2 = 6 cm

4 * 2 = 8 cm

5 * 2 = 10 cm

Answer:

25

Step-by-step explanation:

That's a simple question.

Step-by-step explanation:

Just do it like 5 plus 5 (five times)

5+5+5+5+5=25

Answer:

Just an explanation so you can understand

Step-by-step explanation:

To increase, or decrease a number N, by a percentage X% we multiply N by a percentage multiplier (often just called multiplier).

We can calculate any percentage increase, or decrease, in three steps:

Step 1: write X% in decimal form. Remember, this is done by moving the number X back two decimal places.

Example: 5%=0.05, 12%=0.12, ... .

Step 2: Calculate the percentage multiplier by adding, or subtracting, the decimal found in step 1 to, or from, 1

For percentage increases: add the decimal to 1.

For percentage decreases: subtract the decimal from 1.

Step 3: multiply the number N by the multiplier, found in Step 2.

Answer:

400

Step-by-step explanation:

98.46 = 100

8 is closer to 10 than 0

4.11 = 4

1 is closer to 0 than 10

100 x 4 = 400