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qwelly [4]
2 years ago
13

On a recent survey, 60% of those surveyed indicated that they preferred hamburgers over pizza? 

Mathematics
2 answers:
Elina [12.6K]2 years ago
8 0
900 people preferred hamburgers.
julia-pushkina [17]2 years ago
5 0

540/x=60/100

cross multiply

60x=54,000 then

60x/60=54,000/60

x=900

so 900 people preferred hamburger

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y = 3x + 10

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Archie can walk 1 mile in 1/3 hour. How far can walk in 3 hours explain how you found the answer​
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Answer: 9

Step-by-step explanation:

We know that he can walk one mile in 1/3 of an hour. We can divide 3 by 1/3.

3/(1/3) When dividing by a fraction, we multiply its reciprocal instead.

3*3=9. This means that he can walk 9 miles in 3 hours.

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B) $19.72

Step-by-step explanation:

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How many solutions does the system have? { y = − 7 x + 8 y = − 7 x − 8 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ y=−7x+8 y=−7x−8 ​
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Evaluate ∫SF⃗ ⋅dA⃗ , where F⃗ =(bx/a)i⃗ +(ay/b)j⃗ and S is the elliptic cylinder oriented away from the z-axis, and given by x2/
Norma-Jean [14]

Answer:

Therefore surface integral is \pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c.

Step-by-step explanation:

Given function is,

\vec{F}=\frac{bx}{a}\uvec{i}+\frac{ay}{b}\uvec{j}

To find,

\int\int_{S}\vec{F}dS  

where S=A=surfece of elliptic cylinder we have to apply Divergence theorem so that,

\int\int_{S}\vec{F}dS

=\int\int\int_V\nabla.\vec{F}dV

=\int\int\int_V(\frac{b}{a}+\frac{a}{b})dV  

=\frac{a^2+b^2}{ab}\int\int\int_VdV

=\frac{a^2+b^2}{ab}\times \textit{Volume of the elliptic cylinder}

=\frac{a^2+b^2}{ab}\times \pi ab\times 2c=\pi (a^2+b^2)c

  • If unit vector \cap{n} directed in positive (outward) direction then z=c and,

\int\int_{S_1}\vex{F}.dS_1=\int\int_{S_1} . dA      

=\int\int_{S_1}.dA=0

  • If unit vector \cap{n} directed in negative (inward) direction then z=-c and,

\int\int_{S_2}\vex{F}.dS_2=\int\int_{S_2}. -dA      

=\int\int_{S_2}. -dA=0

Therefore surface integral without unit vector of the surface is,

\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c

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