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liraira [26]
3 years ago
12

You are packing a boxed gift in a larger shipping box. The dimensions of the shipping box are all 1.5 times the dimensions of th

e boxed gift. The volume of the shipping box is 1080 cubic inches. What volume of the shipping box is not taken up by the gift box?
Mathematics
1 answer:
omeli [17]3 years ago
6 0
If the dimensions of the shipping box are all 1.5 times those of the gift, then the shipping box is 1.5*1.5*1.5, or 3.375 times larger than the gift. If the shipping box is 1080 cu. in., then the gift is 1080/3.375, or 320 cu.in.. Therefore; the amount of unused space is 1080-320, or 760
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Answer:

a) 10 = X + Y

b) X = 1, Y = 9

X = 2, Y = 8

X = 3, Y = 7

X = 4, Y = 6

X = 5, Y = 5

i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.

Step-by-step explanation:

The given parameters are;

The number of songs in the playlist on her phone = 10

The number of authors of the songs on her playlist = 2

The equation that represent the situation is given as follows;

X + Y = 10

Where X represent the number of Beyonce's song on her playlist and Y represent the number of Jennifer Lopez's song on her playlist

b) 5 possible solutions are;

X = 1, Y = 9

X + Y = 1 + 9 = 10

Which gives 1 Beyonce's and 9 Jennifer Lopez's songs

X = 2, Y = 8

X + Y = 2 + 8 = 10

Which gives 2 Beyonce's and 8 Jennifer Lopez's songs

X = 3, Y = 7

X + Y = 3 + 7 = 10

Which gives 3 Beyonce's and 7 Jennifer Lopez's songs

X = 4, Y = 6

X + Y = 4 + 6 = 10

Which gives 4 Beyonce's and 6 Jennifer Lopez's songs

X = 5, Y = 5

X + Y = 5 + 5 = 10

Which gives 5 Beyonce's and 5 Jennifer Lopez's songs

i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.

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