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luda_lava [24]
3 years ago
12

Eliza’s backpack weighs 18 7/9 pounds with her math book in it. Without her math book, her backpack weighs 14 ⅞ pounds. How much

does Eliza’s math book weigh?
Mathematics
2 answers:
tigry1 [53]3 years ago
7 0

Answer:

The Eliza's math book weigh = 3\frac{65}{72}.

Step-by-step explanation:

We are given that

Eliza's backpack weighs with her math book  =18\frac{7}{9}=\frac{169}{9}

Eliza's backpack weighs without her math book=14\frac{7}{8}=\frac{119}{8}

We have to find the Eliza's math book weigh.

Therefore, we subtract the Eliza's backpack weighs without her math book from the Eliza's backpack weighs with her math book.

Eliza's math book weighs= Eliza's backpack weighs with her math book - Eliza's backpack weighs without her math book

Eliza's math book weighs = \frac{169}{9}-\frac{119}{8}

Eliza's math book weighs= \frac{169\times 8-119\times 9}{72}

Eliza's math book weighs= \frac{1352-1071}{72}

Eliza's math book weighs=\frac{281}{72}

Eliza's math book weighs=3\frac{65}{72}

Hence, the Eliza's math book weighs=3\frac{65}{72}.

UNO [17]3 years ago
3 0

Make each fraction have a like denominator

7/9 *  8/8= 56/ 72

7/8 * 9/9 = 63/72

18 + 14 + (56+63)/72

32 + 119/72

32 + 1 + 47/72

33 and 47/72


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Answer:

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Step-by-step explanation:

Recall that the addition of matrices is done when matrices are of the same dimension. In this case, you are in fact adding matrices of the same dimension (dimension 1x2). Recall as well that in the addition of matrices, the elements of each matrix combine only with the element located in the exact same position in the other matrix.

So for this case the first element of the first matrix "16" combines with the first element of the second matrix "0" resulting in an element of value16 + 0 =16 in the new matrix.

Equally, the second element of the first matrix "-24" combines with the second element of the second matrix, resulting in : -24 + 0 = -24.

Therefore, the matrix resultant from this addition is: [16   -24] (same form of the first matrix, which indicates that adding a zero matrix to an existing matrix will not change the first matrix.

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Diano4ka-milaya [45]

Simplified expression is 6y² - 24y - 51. Value for y=-2 is 21 and value for y=3 is  -69.

Step-by-step explanation:

  • Step 1: Given expression is 3y(2y-7) - 3(y - 4) - 63. Simplify it.

⇒ 6y² - 21y - 3y + 12 - 63

⇒ 6y² - 24y - 51

  • Step 2: Find value of the expression for y = -2

⇒ 6y² - 24y - 51 = 6(-2)² - 24(-2) - 51 = 24 + 48 - 51 = 21

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Tcecarenko [31]

Answer:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

Step-by-step explanation:

For each passenger, there are only two outcomes possible. Either they show up for the flight, or they do not show up. This means that we can solve this problem using binomial distribution probability concepts.

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The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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And \pi is the probability of X happening.

A probability is said to be unusually low if it is lower than 5%.

For this problem, we have that:

There are 200 reservations, so n = 200.

A passenger consists in a passenger not showing up. There is a .0995 probability that a passenger with a reservation will not show up for the flight. So \pi = 0.0995.

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P(X < 18) = 0.2927.

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