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
andre [41]
4 years ago
13

to make the perfect pizza, there should be 4 pieces of pepperoni per 3 slices of mushrooms. if you put 24 pieces of pepperoni on

the pizza how many mushroom slices should you use?
Mathematics
2 answers:
wlad13 [49]4 years ago
8 0
You should use 18 slices of pepperoni

A way to know this is true is because 18/3=6

24\4=6

So that means that the pizza would have 6 slices!!
Luba_88 [7]4 years ago
4 0
24÷4 = 6
6x3 = 18 mushroom slices
You might be interested in
How do I solve #7? do i add all the angles together like a normal triangle and make it equal to 180?
kobusy [5.1K]

Answer:

126 degrees

Step-by-step explanation:

Triangle: y = 180 - (5x + 4x)

Straight angle: y = 180 - (4x + 30)

180 - (5x + 4x) = 180 - (4x + 30)

5x + 4x = 4x + 30

5x = 30

x = 6

Angle:

y = 180 - (5x + 4x)

y = 180 - 9x

y = 180 - 9(6)

y =  126

7 0
3 years ago
15 is 60% of what number?
Mazyrski [523]
15 is 60% of 25. 15/25 is equal to .6 or 60%
8 0
2 years ago
Read 2 more answers
The first term of an arithmetic sequence is 14. The 25th term is 206. What is the common difference of the arithmetic sequence?
larisa [96]

an = a1+ d(n-1)

a1 =14

an=206  when n=25

206 = 14 + d (25-1)

206 = 14 + d * 24

subtract 14 from each side

192 = 24d

divide by 24 on each side

d=8

The common difference is 8

3 0
3 years ago
Read 2 more answers
Problem 4: Let F = (2z + 2)k be the flow field. Answer the following to verify the divergence theorem: a) Use definition to find
Viktor [21]

Given that you mention the divergence theorem, and that part (b) is asking you to find the downward flux through the disk x^2+y^2\le3, I think it's same to assume that the hemisphere referred to in part (a) is the upper half of the sphere x^2+y^2+z^2=3.

a. Let C denote the hemispherical <u>c</u>ap z=\sqrt{3-x^2-y^2}, parameterized by

\vec r(u,v)=\sqrt3\cos u\sin v\,\vec\imath+\sqrt3\sin u\sin v\,\vec\jmath+\sqrt3\cos v\,\vec k

with 0\le u\le2\pi and 0\le v\le\frac\pi2. Take the normal vector to C to be

\vec r_v\times\vec r_u=3\cos u\sin^2v\,\vec\imath+3\sin u\sin^2v\,\vec\jmath+3\sin v\cos v\,\vec k

Then the upward flux of \vec F=(2z+2)\,\vec k through C is

\displaystyle\iint_C\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^{\pi/2}((2\sqrt3\cos v+2)\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm dv\,\mathrm du

\displaystyle=3\int_0^{2\pi}\int_0^{\pi/2}\sin2v(\sqrt3\cos v+1)\,\mathrm dv\,\mathrm du

=\boxed{2(3+2\sqrt3)\pi}

b. Let D be the disk that closes off the hemisphere C, parameterized by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath

with 0\le u\le\sqrt3 and 0\le v\le2\pi. Take the normal to D to be

\vec s_v\times\vec s_u=-u\,\vec k

Then the downward flux of \vec F through D is

\displaystyle\int_0^{2\pi}\int_0^{\sqrt3}(2\,\vec k)\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv=-2\int_0^{2\pi}\int_0^{\sqrt3}u\,\mathrm du\,\mathrm dv

=\boxed{-6\pi}

c. The net flux is then \boxed{4\sqrt3\pi}.

d. By the divergence theorem, the flux of \vec F across the closed hemisphere H with boundary C\cup D is equal to the integral of \mathrm{div}\vec F over its interior:

\displaystyle\iint_{C\cup D}\vec F\cdot\mathrm d\vec S=\iiint_H\mathrm{div}\vec F\,\mathrm dV

We have

\mathrm{div}\vec F=\dfrac{\partial(2z+2)}{\partial z}=2

so the volume integral is

2\displaystyle\iiint_H\mathrm dV

which is 2 times the volume of the hemisphere H, so that the net flux is \boxed{4\sqrt3\pi}. Just to confirm, we could compute the integral in spherical coordinates:

\displaystyle2\int_0^{\pi/2}\int_0^{2\pi}\int_0^{\sqrt3}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=4\sqrt3\pi

4 0
4 years ago
Can someone help me with 7 1/2 ÷ 1 9/10 please and thank you
Evgen [1.6K]
7 1/2÷ 1 9/10 = 15/2 ÷19/10 = 15/2x10/19 = 159/38 = 4 7/38


4 7/38 (Answer)
_____
38 )159
152
__________
4 0
3 years ago
Read 2 more answers
Other questions:
  • Help please I can’t figure this one out
    8·2 answers
  • 1. what is bigger 10 pt or 5 l
    7·1 answer
  • When two so sided dice are rolled there are 36 outcomes. Find the probability that the sum is not 4.
    6·1 answer
  • Simplify.
    12·1 answer
  • A garden snail moves<br> 3/5<br> foot in 1/4<br> hour. How far is the snail moving per hour?
    12·2 answers
  • Can you help me please?
    8·2 answers
  • The increase in length of an aluminum rod is twice the increase in length of an Invar rod with only a third of the temperature i
    7·1 answer
  • 10(-2.5)(-4) what is the answer plz explain
    7·1 answer
  • 3( x + 4y + 6) - 2(x + 8y + 3).​
    14·1 answer
  • Can someone help me out with this?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!