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2 years ago

Wichbis greater 1 7/12 or 1 5/8

Mathematics

2 answers:

Dmitry [639]2 years ago

7 0

1 5/8 is bigger because of the butterfly method

Gala2k [10]2 years ago

3 0

1 7/12 7/12 = 0.58333... = 1.58333... 1 5/8 5/8 = 0.625 = 1.625 1.625 > 1.58333... Answer = 1 5/8 is greater than 1 7/12

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N is a whole number such that 6< 3n < 15 List all the possible values of n.

Sav [38]

Answer:

3, 4

Step-by-step explanation:

6 < 3n < 15

Divide the three "sides" by 3.

2 < n < 5

n must be between 2 and 5,a nd it must be a whole number.

n can be 3 or 4

7 0

2 years ago

Read 2 more answers

Write an equation of the line with a slope of į and y-intercept of -8<br> y =

Lemur [1.5K]

Answer:

your answer is y =-8 hopes this help

6 0

2 years ago

Find the distance between the points (4,-3) and (5,1)<br> Distance =

Serggg [28]

Answer:

d = sqrt(17)

Step-by-step explanation:

d = sqrt( x2 - x1)^2 + (y2 - y1)^2 )

d = sqrt( (4 - 5)^2 + (-3 - 1)^2 )

d = sqrt( (-1)^2 + (-4)^2 )

d = sqrt ( 1 + 16)

d = sqrt(17)

6 0

2 years ago

Consider the initial value problem yâ€²+2y=4t,y(0)=8.

Xelga [282]

Answer:

Please read the complete procedure below:

Step-by-step explanation:

You have the following initial value problem:

$y'+2y=4t\\\\y(0)=8$

a) The algebraic equation obtain by using the Laplace transform is:

$L[y']+2L[y]=4L[t]\\\\L[y']=sY(s)-y(0)\ \ \ \ (1)\\\\L[t]=\frac{1}{s^2}\ \ \ \ \ (2)\\\\$

next, you replace (1) and (2):

$sY(s)-y(0)+2Y(s)=\frac{4}{s^2}\\\\sY(s)+2Y(s)-8=\frac{4}{s^2}$ (this is the algebraic equation)

$sY(s)+2Y(s)-8=\frac{4}{s^2}\\\\Y(s)[s+2]=\frac{4}{s^2}+8\\\\Y(s)=\frac{4+8s^2}{s^2(s+2)}$ (this is the solution for Y(s))

$y(t)=L^{-1}Y(s)=L^{-1}[\frac{4}{s^2(s+2)}+\frac{8}{s+2}]\\\\=L^{-1}[\frac{4}{s^2(s+2)}]+L^{-1}[\frac{8}{s+2}]\\\\=L^{-1}[\frac{4}{s^2(s+2)}]+8e^{-2t}$

To find the inverse Laplace transform of the first term you use partial fractions:

$\frac{4}{s^2(s+2)}=\frac{-s+2}{s^2}+\frac{1}{s+2}\\\\=(\frac{-1}{s}+\frac{2}{s^2})+\frac{1}{s+2}$

Thus, you have:

$y(t)=L^{-1}[\frac{4}{s^2(s+2)}]+8e^{-2t}\\\\y(t)=L^{-1}[\frac{-1}{s}+\frac{2}{s^2}]+L^{-1}[\frac{1}{s+2}]+8e^{-2t}\\\\y(t)=-1+2t+e^{-2t}+8e^{-2t}=-1+2t+9e^{-2t}$

(this is the solution to the differential equation)

5 0

3 years ago

Regal theater in Tikahtnu sold 548 tickets to Moana on Sunday. A adult’s ticket was $6.50 while a child’s ticket was $3.50. In t

irga5000 [103]

Regal theater sold 321 adult tickets and 227 children tickets.

Step-by-step explanation:

Given,

Cost of each adult ticket = $6.50

Cost of each child's ticket = $3.50

Total tickets sold = 548

Total worth of sold tickets = $2881

Let,

x represent the number of adult tickets sold

y represent the number of child tickets sold

According to given statement;

x+y=548 Eqn 1

6.50x+3.50y=2881 Eqn 2

Multiplying Eqn 1 by 6.50

$6.50(x+y=548)\\6.50x+6.50y=3562\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(6.50x+6.50y)-(6.50x-3.50y)=3562-2881\\6.50x+6.50y-6.50x-3.50y=681\\3y=681$

Dividing both sides by 3

$\frac{3y}{3}=\frac{681}{3}\\y=227$

Putting y=227 in Eqn 1

$x+227=548\\x=548-227\\x=321$

Regal theater sold 321 adult tickets and 227 children tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

6 0

3 years ago