There is nothing that multiplies to 12 and adds to 4.
B - 13
Okay, we know that Mark brought 1 notebook and the totally is 6.91 while one pencil costs $0.42.
x= number of pencils he brought.
we know the price of 1 notebook + the cost of pencils times the numbers of pencils he brought = total cost.
So the equation will be:
1.45 + 0.42x = 6.91 subtract 1.45 on both sides.
0.42x = 5.46 Then we solve for x by dividing both sides by 0.42
x= 13
So the number of pencils he brought is 13.
Answer:
![2x](https://tex.z-dn.net/?f=2x)
Step-by-step explanation:
The volume of a cylinder,
is given by the formula,
![V=\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7Dh)
Where,
is the radius and
is the height of the cylinder.
Here,
,
. Plug in these values and solve for radius,
.
This gives,
![V=\pi r^{2}h\\4\pi x^{3}=\pi r^{2}x\\r^{2}=\frac{4\pi x^{3}}{\pi x}\\r^{2}=4x^{2}\\](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7Dh%5C%5C4%5Cpi%20x%5E%7B3%7D%3D%5Cpi%20r%5E%7B2%7Dx%5C%5Cr%5E%7B2%7D%3D%5Cfrac%7B4%5Cpi%20x%5E%7B3%7D%7D%7B%5Cpi%20x%7D%5C%5Cr%5E%7B2%7D%3D4x%5E%7B2%7D%5C%5C)
Taking square root both sides, we get
![\sqrt{r^{2}}=\sqrt{4x^{2}}\\r=2x](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E%7B2%7D%7D%3D%5Csqrt%7B4x%5E%7B2%7D%7D%5C%5Cr%3D2x)
Therefore, the radius of the cylinder can be expressed as
.
Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.
<h3>Find the expression for the area of the shaded regions:</h3>
From the question we can say that the Hexagon has three shapes inside it,
Also it is given that,
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.
From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.
A pentagon is shown inside a regular hexagon.
- Area of first shaded region = Area of the hexagon - Area of pentagon
An equilateral triangle is shown inside a square.
- Area of second shaded region = Area of the square - Area of equilateral triangle
The expression for total shaded region would be written as,
Shaded area = Area of first shaded region + Area of second shaded region
Hence,
⇒ Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle.
Learn more about area of a shape here:
brainly.com/question/16501078
#SPJ1
Answer:
50/7.
Simplified to 7.14.
Step-by-step explanation:
Combine like terms, 5x and 9x.
5x+9x=14x
14x = 100
14x / 14 = 100 / 14
x = 50/7 or 7.14
Hope this helps!