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zheka24 [161]
2 years ago
10

A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house cats sold was 4:9, what is the combined amount of cats s

old
Mathematics
1 answer:
Dafna11 [192]2 years ago
5 0

 The combined amount of cats sold is 117.

Ratio expresses the relationship between two variables. It shows the frequency of which that one value is contained within another variable.

The ratio of  Siamese cats to house cats = 4 : 9

Number of Siamese cats = 36

Number of combined cats = c

This equation can be formed using the above information:

4/13 x c = 36

4c = 468

c = 468 / 4

c = 117

A similar question was answered here: brainly.com/question/411732

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Read 2 more answers
Lacy draws a diamond from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card
Viktor [21]

Answer:

a) i) No

ii) Probability of drawing a diamond and then spade without replacement is 0.0637.

b) i) Yes

ii) Probability of drawing a diamond and then spade with replacement is 0.0625

Step-by-step explanation:

Part a) Without replacement:

i) Are these events independent?

No, because the both events are dependent. because a card taken out of the deck is not replaced back before taking out the other card so the chances of event occur change.

ii) Determine the probability of drawing a diamond and then a spade without replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond  = 13/52

Probability of drawing a spade:

Total cards in deck after taking diamond = 52 -1 =51

Spades = 13

Probability of drawing a spade  = 13/51

Probability of drawing a diamond and then spade = 13/52 * 13/51

= 169/2652

=0.0637

So, Probability of drawing a diamond and then spade without replacement  is 0.0637

Part b) With replacements

i) Are these events independent?

Input Yes or No:

Yes, these events are independent because a card taken out of the deck is replaced back before taking out the other card so the chances of event occur doesn't change.

ii) Determine the probability of drawing a diamond and then a spade with replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond  = 13/52

Probability of drawing a spade:

Total cards in deck after replacing diamond = 52

Spades = 13

Probability of drawing a spade  = 13/52

Probability of drawing a diamond and then spade = 13/52 * 13/52

= 169/2704

=0.0625

So, Probability of drawing a diamond and then spade with replacement is 0.0625

7 0
3 years ago
Margo borrows $1900, agreeing to pay it back with 6% annual interest after 13 months. How much interest will she pay?
Colt1911 [192]
$127.68 interest. $2027.68 total amount.
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3 years ago
Anthony earned $131 in tips last night while working at the restaurant. If his tips consisted of $1 bills and $5 bills only and
Nadya [2.5K]

Answer:

21

Step-by-step explanation:

Let x = $1 bill

Let y = $5bill

<em>Translating the word problem into an algebraic equation;</em>

<em>For the total number of bills;</em>

x + y = 47 .........equation 1

<em>For the total number of tips;</em>

x + 5y = 131 ..........equation 2

<em>*Solving the linear equation by using the substitution method*</em>

<em>Making x the subject in equation 1:</em>

x = 47 - y .......equation 3

<em>Substituting "x" into equation 2;</em>

(47 - y) + 5y = 131

<em>Simplifying the equation, we have;</em>

47 + 4y = 131

4y = 131 - 47

4y = 84

y = \frac {84}{4}

y = 21 (For the $5 bills).

<em>Therefore, Anthony received 21 pieces of the $5 bills.</em>

To find x;

Substituting "y" into equation 3;

x = 47 - 21

x = 26 (For the $1 bill).

6 0
2 years ago
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