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marishachu [46]
3 years ago
13

Ethan's full backpack weighed too much. He took out a 4/8 pound electronic reader, a 2 ⅛ pound full bottle of water, and a ⅞ pou

nd combination lock. Now the backpack weighs 8 ⅝ pounds. How much did the backpack weigh before Ethan took out the supplies? Number model
Mathematics
1 answer:
Luba_88 [7]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

We can just add up all of these fractions:

2 1/8 + 7/8 = 2 8/8 = 3

8 5/8 + 4/8 = 8 9/8 = 9 1/8

3 + 9 1/8 = 12\frac{1}{8}

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NO LINKS!! Please help me with this problem​
iogann1982 [59]

{\qquad\qquad\huge\underline{{\sf Answer}}}

The given figure shows a vertical hyperbola with its centre at origin, and as we observe the figure, we can conclude that :

Length of transverse axis is :

\qquad \sf  \dashrightarrow \: 2b = 12

\qquad \sf  \dashrightarrow \: b = 6

length of conjugate axis is :

\qquad \sf  \dashrightarrow \: 2a = 8

\qquad \sf  \dashrightarrow \: a = 4

Equation of hyperbola ~

\qquad \sf  \dashrightarrow \:    \cfrac{ {y}^{2} }{ {b}^{2} } - \cfrac{  {x}^{2} }{ {a}^{2} }  = 1

plug in the values ~

\qquad \sf  \dashrightarrow \:    \cfrac{ {y}^{2} }{ {6}^{2} } - \cfrac{  {x}^{2} }{ {4}^{2} }  = 1

\qquad \sf  \dashrightarrow \:    \cfrac{ {y}^{2} }{ {36}^{} } - \cfrac{  {x}^{2} }{ {16}^{} }  = 1

5 0
2 years ago
Read 2 more answers
Answer my question #4
Vinil7 [7]

Answer:

11. 432,500 12. KF & ND

Step-by-step explanation:

11.

80,000 + 75,000 + 105,000 + 82,500 + 90, 000 = 432,500 people

( it says "about" so it doesn't have to be exact but a reasonable guess)

12. The two stadiums most similar in attendance is Kyle Field and Notre Dame

5 0
3 years ago
PLEASE HELP ASAP! Several books are placed on the bottom three shelves of a bookcase. When 1 book was taken from the first shelf
sergeinik [125]

Answer:

24 books

Step-by-step explanation:

Initially the top shelf has no books placed on

Then books added to this:

  • 1+2+3= 6

And now all 4 shelves have same amount of books. So total number is:

  • 4*6= 24 books

There are 24 books in the bookcase

6 0
3 years ago
Linda and Imani are each traveling in a car to the beach. Linda’s travel is modeled by a table. Imanis travel it modeled by grap
tino4ka555 [31]

Answer:

Imani traveled faster because her distance surpassed Linda's distance after the fourth hour.

Step-by-step explanation:

1. Understand the slope:

      Ok, so the slope basically tells us how fast Imani and Linda traveled, so if we solve for the slope we know how fast Imani and Linda traveled.

2. Find Linda's slope:

      - Take any two points: (0,10) and (1, 65).

      Slope = (<u>y1 - y2)/(x1 - x2)</u>

<u> </u>                 = (65-10)/(1-0)

                   = 55

    Since the slope is 55, we know her speed is 55 miles per hour.

2. Find Imani's slope:

      - Take any two points: (0,0) and (1, 60).

      Slope = (<u>y1 - y2)/(x1 - x2)</u>

<u> </u>                 = (60-0)/(1-0)

                   = 60

    Since the slope is 60, we know her speed is 60 miles per hour.  

3. Compare: Since 60>55, we know Imani traveled faster. If we look at options, we can see there's only one answer which shows that Imani traveled faster, so that must be the answer.

7 0
3 years ago
Consider the Fourier sine series of each of the following functions. In this exercise do not compute the coefficients but use th
tekilochka [14]

Answer:

Step-by-step explanation:

6 0
3 years ago
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