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Lorico [155]
3 years ago
13

Dr.Drange has a collection of 90 books. Of the books, 2/9 are math books, 1/6 are science books,and the rest are romantic novels

s. How many romantic novels does he have?
Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

13/18 used common denominator of 90 so 2/9 x 10 and 1/6 x 15 gave me 20/90 and 15/90. Added those and cane up with 35/90. Difference was 65/90 so but could be divided by 5 so my answer came out to 13/18.

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A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the di
Sloan [31]

Answer:

If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:

$8.

Step-by-step explanation:

a) Data and Calculations:

The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)

The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)

The probability for the result to be 6 = 16.67% (100/6 * 1)

Data Table:

Event                              Probability       Value Won

The result is 1 or 2           33.33%              $0

The result is 3, 4 or 5     50.00%              $4.00

The result is 6                 16.67%              $36.00

Expected Value:

Event                              Probability          Value              Expected Value

The result is 1 or 2           33.33%              $0                $0 ($0 * 33.33%)

The result is 3, 4 or 5     50.00%              $4.00           $2.00 ($4 * 50%)

The result is 6                 16.67%              $36.00          $6.00 ($36 * 16.67%)

Total expected amount of money  =                             $8.00

8 0
3 years ago
A new science website has $1824 to buy online ads. If each cost $96, how many ads can the website purchase
a_sh-v [17]

Answer:

19 ads

Step-by-step explanation:

just divide 1824 by 96

3 0
2 years ago
Determine which of the following situations requires the distributive property in order to simplify the expression. Select all s
ipn [44]

Answers

9(x + y)

(7 - a)(b)

 

The Distributive Property is used in algebraic expressions to multiply a single term and two or more terms which are inside a set of parentheses.

 

In the case of x(2y), there is only one term inside the parenthesis

In the case of 9(x ∙ y), the distributive property is not used because (x ∙ y) = xy which means only one term will be multiplied by the term outside the parenthesis (9)

 

In the case of 9(x + y), the distributive property is used because the two terms in the parenthesis (x and y) will be multiplied by the term outside the parenthesis (9)

9(x + y) = 9*x + 9*y (by applying the distributive property)

 

In the case of (7 ∙ a)(b), the distributive property is not used because (7 ∙ a) = 7a which means only one term will be multiplied by the term outside the parenthesis (b)

 

In the case of (7 - a)(b), the distributive property is used because the two terms in the parenthesis (7 and -a) will be multiplied by the term outside the parenthesis (b)

(7 - a)(b) = 7*b - a*b (by applying the distributive property)

 

In the case of (2 ∙ x) ∙ y, the distributive property is not used because (2 ∙ x) = 2x which means only one term will be multiplied by the term outside the parenthesis (y)

8 0
3 years ago
Read 2 more answers
at a restaurant the ratio of kids meal, how manys sold to adult meals sold was 9:2. if there were 81 kids meals sold, how many a
DedPeter [7]
9/2 = 81/a....9 kids meals to 2 adult meals = 81 kids meals to a adult meals
cross multiply
9a = 2(81)
9a = 162
a = 162/9
a = 18...so there were 18 adult meals
ratio is : 81/18 
6 0
3 years ago
Find the exact value of csc ø, if cos ø= 1/9; 180° less ø less than 270°
Iteru [2.4K]

Answer:

The answer to your question is: the first option  - 9/ \sqrt{80}

Step-by-step explanation:

Process

          cosФ = adjacent side / hypotenuse

          -1/9 = adjacent side / hypotenuse

          adjacent side = -1    hypotenuse = 9

          c² = a² + b²

          b² = c² - a²

           b² = 81 - 1

           b = \sqrt{80} \\    b = opposite side

But b is negative because we are in the third quadrant.

          b = -\sqrt{80}

Finally   csc Ф = hypotenuse / opposite side

             csc Ф = - 9 / \sqrt{80}

4 0
3 years ago
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