An airline estimates that each passenger with baggage weighs 205 pounds.
A gallon of fuel weighs 5 pounds
An airplane can carry 495 passengers and 49,500 gallons of fuel.
Estimate how much an airplane can carry

Options:
A: 300,000 pounds
B: 400,00 pounds
C: 350,000 pounds

The requried reduced fraction of the given fraction is given as 17/24.

Fraction is defined as the number of compositions that constitutes the Whole.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given fraction,
= 3 / 8 + 1 / 3
= [3 × 3  + 1 ×8] / 8×3

= 9 + 8 / 24

= 17/24

Thus, the requried reduced fraction of the given fraction is given as 17/24.

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Answer:

14

Step-by-step explanation:

Answer:

It has to be 14

Step-by-step explanation:

42/3 is 14

Step-by-step explanation:

We have been given that a basketball team has 12 players and the coach wants to pick which 5 players will start today's game.

We will use combinations formula to solve our given problem. , where,

n = Number of total items,

r = Number of items being chosen at a time.

Upon substituting our given values in combinations formula we will get,

Therefore, the coach can choose from 792 combinations

Answer:

 [tex]\int\limits {\frac{V-1}{1+2V+V^{2} } } \, dv[/tex]    [tex]= log V + (\frac{2 }{1+v} )+C[/tex]

Step-by-step explanation:

Step(i):-

Given  

                [tex]\int\limits {\frac{V-1}{1+2V+V^{2} } } \, dv[/tex]

           =   [tex]\int\limits {\frac{V-2+1}{1+2V+V^{2} } } \, dv[/tex]

         [tex]= \int\limits {\frac{V+1}{(1+V)^{2} } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv[/tex]

       = [tex]= \int\limits {\frac{1}{(1+V) } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv[/tex]

Step(ii):-

By using integration formula

[tex]\int\limits {\frac{1}{x} } \, dx =logx +C[/tex]

[tex]\int\limits {x^{n} } \, dx = \frac{x^{n+1} }{n+1} +C[/tex]

      [tex]= \int\limits {\frac{1}{(1+V) } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv\\= log V + (\frac{-2(1+v)^{-2+1} }{-2+1} )+C[/tex]

   [tex]= log V + (\frac{-2(1+v)^{-1} }{-1} )+C[/tex]

  [tex]= log V + (\frac{2 }{1+v} )+C[/tex]

Step-by-step explanation:

Distance between Train 1 and Train 2=95 miles

Avg speed Train 1 = 45mph, avg speed Train 2=60mph

If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other?

:

Let t = travel time (in hrs) until they are opposite each other

:

Like the hint said, when this happens the total distance traveled by both trains will be 95 mi.

:

write a distance equation from this fact: Dist = speed * time

;

Train 1 dist + train 2 dist = 95 mi

45t + 60t = 95

:

105t = 95

t = 95%2F105

t = .90476 hrs

or

.90476 * 60 = 54.3 min

:

:

Check solution by finding the total of the distances the two train travel

45(.90476) + 60(.90476) =

40.7 + 54.3 = 95 mi

Answer:

18/14=64+7%×r try it out

The values shows  13/30  <  9/20.

Fractions are the components of a collection or whole. Two parts make up a fraction. The numerator is the number at the top of the line. It indicates the number of equal portions taken from the collection or whole. The term "denominator" refers to the number below the line. It indicates the total number of identical parts that make up a collection or the total number of parts that make up the whole.

The number of parts we take is a fraction when the whole is divided into equal parts.

Given 13/30 and 9/20

to make the common denominator,

multiply by 20 in numerator and denominator of 13/30

(13 x 20)/(20 x 30) = 260/600

multiply by 30 in numerator and denominator of 9/20

(9 x 30)/(20 x 30) = 270/600

the terms with same denominator are

260/600 and 270/600

as we can see that 270/600 > 260/600

so 13/30 < 9/20.

Hence 13/30 is less than 9/20.

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Answer:

For the second one: NO congruent to MO.

For the third one: angle N congruent to angle O.

:)

Answer:

The probability is 0.5263

Step-by-step explanation:

Probability of employed women being unmarried = 25% = 0.25 ( let this be p)

Probability of employed women ever being married = 1-0.25 = 0.75 (let this be q)

Now, we want to calculate the probability that two or less have never been married

We can use the Bernoulli approximation of the Binomial distribution here;

In this case, we have three cases

We have cases of;

Exactly two + Exactly one + None

For exactly two;

10 C 2 0.25^2 0.75^8 = 0.282

For exactly one

10 C 1 0.25^1 0.75^9 = 0.188

For none

10C 0 0.25^0 0.75^10 = 0.0563

Adding these 3 to get the probability of two or fewer, we have;

0.0563 + 0.188 + 0.282 = 0.5263

Answer:

n>10.2 or n>51/5

Step-by-step explanation:

4n+2(n+1)>n+52 distribute 2 to everything in the parentheses

4n+2n+1>n+52 combine like terms

6n+1>n+52 subtract 1 from both sides

6n>n+51 subtract n from both sides

5n>51 divide both sides by 5

n>10.2

Answer:

n>10.2

Step-by-step explanation:

Answer:

[tex] {x}^{2} + \frac{4}{3} x - \frac{1}{3} [/tex]

can be subtracted

Step-by-step explanation:

7x6y².y.(-7y²)

7y²[x6y-1]

Answer:

-49x^6y^5

Step-by-step explanation:

multiply the like terms (7y^3 and -7y^2)

7*-7 = -49

y^3+2 = y^5

combine the terms

-49x^6y^5

[tex]Answer:[/tex]

[tex]-11[/tex]

[tex]Step-by-step~explanation:[/tex]

[tex]2+-13[/tex]

[tex]= -11[/tex]

So your answer is -11 :)

Answer:

-12

Step-by-step explanation:

g(x) = 4x

h(x) = x^2 - 3

(g o h)(x) = g(h(x)) = g(x^2 - 3) = 4(x^2 - 3) = 4x^2 - 12

(g o h)(0) = 4(0)^2 - 12 = 0 - 12 = -12

Answer:

the ratio of this one is 0.2\1

Answer:

To calculate the ratio, we should have both quantities in same units, so we can convert the kilometer into meters, knowing that 1 kilometerr are 1000m.

1 * 1000 = 1000m

We know we need to calculate the ratio 200:1000.

We can know divide both quantities by 200 and get...

200/200:1000/200 = 1:5

And now,, we know this ratio is 1:5..

Answer:

12y+9

Step-by-step explanation:

Answer:

Grant can purchase 7 baseball card packs for $21. 12/4=3 and 21/3=7.

Answer: 7

Step-by-step explanation:

Answer:

7 packs

Step-by-step explanation:

12/4 = $3 ea.

21/3 = 7 packs

Answer:

the height should be 4.

Step-by-step explanation:

because 12 divided by 3 is 4

Answer:

a ) dAt/dt  =  50,24 in/min

dh/dt  =  -  0,125 in/min

Step-by-step explanation:

The area of the top is At :

At = π*r²

a)  Tacking derivatives with respect to time:

dAt/dt  =  2* π*r * dr/dt

At   t  =  t₁      r  = 16 in     and  dr/dt =  0,5

Then

dAt/dt  =  2*3,14*16*0,5   in/min

a ) dAt/dt  =  50,24 in/min

b) The volume of the cylinder is:

Vc =  π*r²*h     ( where h is the heigh of the cylinder )

Tacking derivatives with respect to time

dVc/dt  =  2* π*r*h*dr/dt  +  π*r²*dh/dt

But  dVc/dt  = 0  since the volume remains constant, then:

π*r²*dh/dt  = -  2* π*r*h*dr/dt

r*dh/dt  =  -  2*h*dr/dt

dh/dt  = - 2*0,5*2/16  in/min

dh/dt  =  -  0,125 in/min

Answer:

5 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation: Change the format of the equation. Make it 3y=-2x-12. Substitute different values for x and see what y is for each of those x values. For example, if you substitute x=3, you will get y=-6. I am going to put in a picture of the plotted line. I hope this helps!

Answer:

x=22.8 inches

I think T__T

Step-by-step explanation:

YES... SOMETHING I KNOW!

Use Pythagorean theroy

say 42.7=a

48.4=b

x=c

the formula is: a^2+c^2=b^2

so: 42.7^2+x^2=48.4^2

if we simplify:=1823.29+x^2=2342.56

then:519.27=x^2

It says, round to the nearest TENTH

x=22.787497

so then x would be

22.80

Answer:

0.533

Step-by-step explanation:

Given that :

Class length has a Continuous uniform distribution between 60 - 90 min

Lower limit (L1) = 60

Upper limit (L2) = 90

Probability that class length is less than 76 min

P(x < 76):

(x - L1) / (L2 - L1)

(76 - 60) / (90 - 60)

16 / 30

= 0.533

P(x < 76) = 0.533

Answer:

The standard coordinates of the point are ; ( 0,0 )

Step-by-step explanation:

The standard coordinates of the point are ; ( 0,0 ) also the standard values of the means will also be ( 0, 0 )

This is because for the Positive Z-equal line, Negative Z-Equal line and Regression line to all pass through the same point indicates dependent and independent variables of the Z-score and regression lines respectively

Step-by-step explanation:

(4-t)(4-t)/2-t

t^2-8t+16/2-t

the domain is all real number without 2

Answer:

285.12

Step-by-step explanation:

discount amount = 45/100 x 480= 45x48/10

=216.0

price after discount= 480-216=264

sales tax= 8/100 x 264=21.12

total money spent = 264+21.12=285.12

45% of 480

= 45/100 x 480

= 0.45x480

=216

=480-216

=264

8% of 264

= 8/100 x 264

= 0.08 x 264

= 21.12

= 264 + 21.12

=285.12

Therefore, he paid $285 and 12 cents