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
Natalka [10]
3 years ago
5

The surface area of the box of cereal displayed is 2x^2+48x+88. What is the value of x if the box of cereal has a total surface

area of 192 in
Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0

Answer:

x_2= \frac{-24 +28}{2}=2

And the correct solution would be x=2 since a negative value not have a practica interpretation on this case.

Step-by-step explanation:

For this case the surface area is given by this formula:

S (x) =2x^2 +48 x +88   (1)

For this case we have that the total surface area is 192, so we need to set up equal to 192 and solve for the value of x like this:

192= 2x^2 +48 x+88

We can set up the last equuation equal to 0 like this:

2x^2 +48 x-104 =0

We can divide both sides of the equation by 2 and we got:

x^2 +24x -52=0

Now we can use the quadratic formula in order to solve the value of x given by:

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

For our equation a = 1, b = 24 and c = -52 and if we replace we got:

x = \frac{-24 \pm \sqrt{(24)^2 -4(1)(-52)}}{2(1)}

And the two solutions are:

x_1 = \frac{-24 -28}{2}=-26

x_2= \frac{-24 +28}{2}=2

And the correct solution would be x=2 since a negative value not have a practica interpretation on this case.

You might be interested in
What is the slope of a line perpendicular to the line whose equation is 3x+6y=-183x+6y=−18. Fully reduce your answer.
schepotkina [342]

Answer:

2

Step-by-step explanation:

The given equation of line is

3x+6y=-18

We need to find the slope of a line which is perpendicular to the given line.

The given equation can be rewritten as

3x+6y+18=0      ...(i)

If a line is defined as ax+bx+c=0, then the slope of the line is  

m=-\dfrac{a}{b}

In equation (i), a=3, b=6 and c=18. So, slope of the line is

m_1=-\dfrac{3}{6}=-\dfrac{1}{2}

Let m_2 be the slope of perpendicular line.

We know that product of two perpendicular line is -1.

m_1\cdot m_2=-1

(-\dfrac{1}{2})\cdot m_2=-1

Multiply both sides by -2.

m_2=2

Therefore, the slope of perpendicular line is 2.

6 0
3 years ago
Write in standard notation.
lora16 [44]
This is how u write your question in standard form 196.75
4 0
3 years ago
There are 59 people going on a field trip.
laila [671]

The answer to this question is the school is going to have to rent 2 vans extra. The reason is because each van hols 8 people right. for the 6 vans that the school already owns, that will be 48 students in vans. When you subract that from 59, you get 11 students that still need a van, so 11 students can not fit in one extra van so the school would need two. Hope this gives you what you were looking for. God bless, and hope this helped. Also, please let me know if it was correct.

6 0
3 years ago
A student is selling small and large frozen pizzas for a school fund-raiser.
dexar [7]

System of equations:

We'll need one equation for the amount of pizzas, and another for the total cost of the pizzas. In this case, x will represent small pizzas, and y will represent large pizzas.

3x + 4y = 100

x + y = 30

Solving the system of equations:

First, we need to solve for one variable in one equation.

x + y = 30

x = 30 - y

Then, we'll take our equation that is solved for x and plug it into the other equation from above.

3(30 - y) + 4y = 100

Next, we solve for y.

90 - 3y + 4y = 100

90 + y = 100

y = 10

Finally, we take our value for y and plug it back in to the very first equation and solve for x.

x = 30 - 10

x = 20

Answer:

The student has sold 10 large pizzas and 20 small pizzas.

Hope this helps!! :)

6 0
3 years ago
Solve for x...........................................
Lilit [14]

Answer:

x = 12

Step-by-step explanation:

The exterior angles of any polygon always add up to 360, so:

5x+4+4x+9+7x+4+9x-6+4x+1=360\\29x+12=360\\29x = 348\\x = 12

4 0
3 years ago
Other questions:
  • What is the answer to 13u − 11u = 10
    9·2 answers
  • What is the absolute value of the complex number -4-√2i?
    9·2 answers
  • How do you put mixed fractions on a number line in decimal form?
    11·1 answer
  • What parts of the American System are still in effect today
    13·1 answer
  • How do you do 4x + 5y =13
    10·2 answers
  • Evaluate the expression when g=72 and h-4 g/8=h
    10·2 answers
  • Georgie borrows £12000 for a luxury cruise
    7·1 answer
  • I tried to figure the problem out and I didn't know how to do it, can you please help me?
    5·1 answer
  • Need help !!!!
    10·1 answer
  • What is an equation of the line that passes through the point(2,−2) and is parallel to the line 5x-2y=4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!