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2 years ago

Jim had 3,067.48 in his checking account he wrote a check to pay for two airplane tickets. His account now has 1,845.24.

1 answer:

4 0

Jim started out with 3,067.48 in his checking and ended with 1,845.24 after paying for airplane tickets. To figure out how much money he spent on the tickets, you will need to first subtract the ending amount of 1,845.24 from 3,067.48 and then divide the sum to get the amount spent on each ticket.

3,067.48 - 1,845.24 = 1,222.24
1,222.24\2= 611.12

In the end Jim spent 1,222.24 in total on tickets. He spent around 611.12 on each ticket.

Hope this helps!

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Answer:

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1 year ago

The median of a data set 8, 21, 17, and 13 is 15. If 17 is changed to 18, what will be the new median? a. 15.5 c. 50 b. 17.5 d.

lubasha [3.4K]

Answer:

Option A) 15.5 is correct

The new median for the new data set is 15.5

Step-by-step explanation:

Given data set is 8,21,17,13

To find the median :

First order the given set of data into least to greatest

The ordered set is 8,13,17,21

Since the given set of data is even

We can take midvalues of data in the set

Median is the mean of two middle values in the data set

$Median=\frac{13+17}{2}$

$=\frac{30}{2}$

$=15$

Therefore Median=15 ( given )

Given that if 17 is changed to 18 then the given set of data 8,21,17,13 is changed into new set 8,21,18,13

To find the median :

First order the new set of data into least to greatest

The ordered set is 8,13,18,21

Since the given set of data is even

We can take two midvalues of new data in the set

Median is the mean of two middle values in the data set

$Median=\frac{13+18}{2}$

$=\frac{31}{2}$

$=15.5$

Therefore New Median=15.5

Therefore option A) 15.5 is correct

The new median for the new data set is 15.5

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2 years ago

the area of a circle is 81 pi m^2. what is the circumference, in meters? express your answer in terms of pi.

mestny [16]

<h3>Answer: 18pi</h3>

============================================================

Explanation:

The area 81pi square meters leads to the radius 9 meters

Use the formula A = pi*r^2 to see why this is the case. You plug in A = 81pi and solve for r to get r = 9.

-----------------

Once you know the radius, you can determine the circumference C

C = 2*pi*r

C = 2*pi*9

C = 2*9*pi

C = 18pi

The circumference is the perimeter, or distance, around the circle.

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2 years ago

Solve the system of equations.<br> <br> −5x−3y−9=0<br> 4x−18y−54=0<br> y=? x=?<br>

Darina [25.2K]

Answer:

Step-by-step explanation:

Eq. 1 ) −5x−3y−9=0

Eq. 2) 4x−18y−54=0

there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)

6 *( −5x−3y−9=0 )

Eq. 3) -30x -18y =54

subtract Eq. 2 from Eq. 3 :)

-30x -18y =54

-34x = 0

so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,

then:

-5x = 9 +3y

x = - 9/5 + (-3/5)y

now plug that into Eq. 2

4( - 9/5 + (-3/5)y ) - 18y = 54

-36/5 + (-12/5)y -18y = 54

(-12/5)y - (90/5)y = 54+36/5

-(102/5)*y =270/5+36/5

-(102/5)y = 306/5

y = (-5/102)*(306/5)

y = -306/102

y = -3

then plug in for either equation

-5x-3( -3) = 9

-5x + 9 = 9

-5x = 0

x = 0

now we have the full answer

check it by plugging in both x and y into the 2nd equation

4(0) - 18(-3) = 54

54= 54

this seems good

3 0

2 years ago