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ziro4ka [17]
1 year ago
6

josephine has three chemistry books, three history books, and nine statistics books. she wants to choose one book of each type t

o study. in how many ways can she choose the three books?
Mathematics
1 answer:
larisa86 [58]1 year ago
7 0

She can choose three books in 54 ways

What is permutation?

Permutation is a technique involving in which a set or number of things can be ordered or arranged. We use permutation to solve and compute answers

We are given that, Josephine has three chemistry books, three history books, and nine statistics books

She has to choose one from each subject

Firstly She has 3 chemistry books

This can be selected in 3 ways

Then She has 3 history books

This can be selected in 3 ways

Ans finally she has 9 statistics books

This can be selected in 9 ways

Hence total ways in which she can select 3 books is 3*3*9= 54 ways

Hence in 54 ways she can choose three books

To learn more about permutation please refer

brainly.com/question/1216161

#SPJ4

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10-d = -34-5d solve this equation
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<h3><u>Explanation</u></h3>
  • Given the equation.

10 - d =  - 34 - 5d

  • Solve the equation for d-term.

Because we cannot subtract or add up constants and variables, we simply move the same variable term to the same side and constant term to the same constant side.

10 + 34 =  - 5d + d \\ 44 =  - 4d \\  \frac{44}{ - 4}  = d \\  - 11 = d

  • Answer Check

Substitute d = -11 in the equation.

10 - ( - 11) =  - 34 - 5( - 11) \\ 10 + 11 =  - 34 + 55 \\ 21 = 21

The equation is true for d = -11.

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Which scenario best matches the linear relationship expressed in the equation y=-14+1700
Elden [556K]

Question:

Which scenario best matches the linear relationship expressed in the equation y = –14x + 1,700?

1) Kent has $1,700 in his bank account and spends $14 each week.

2) Kent has $1,700 in his bank account and deposits $14 each week.

3) Kent had $1,700 in his bank account and deposited another $14.

4) Kent has $14 in his bank account and spent $1,700.

Answer:

Option  1) Kent has $1,700 in his bank account and spends $14 each week.

Step-by-step explanation:

Let x denote the number of weeks.

Option 1: Kent has $1,700 in his bank account and -14x as the negative sign denotes how much amount he spend each week.

Thus, Option 1 is the correct answer.

Option 2: Kent has $1,700 in his bank account and deposits $14 each week.

Writing it as equation, we have, y=14x+1700 which is not the expressed linear equation.

Hence,  Option 2 is not the correct answer.

Option 3: Kent had $1,700 in his bank account and deposited another $14.

Writing it as equation, we have, y=14+1700 which is not the expressed linear equation.

Hence,  Option 3 is not the correct answer.

Option 4: Kent has $14 in his bank account and spent $1,700.

Writing it as equation, we have, y=14-1700 which is not the expressed linear equation.

Hence,  Option 4 is not the correct answer.

Thus, the scenario that matches the linear equation relationship expressed in the equation is Option 1.

The answer is Kent has $1,700 in his bank account and spends $14 each week.

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