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2 years ago

At a pet store, the ratio of female birds to male birds was 5:3.

Mathematics

1 answer:

slamgirl [31]2 years ago

3 0

Answer:

For every 5 female birds in the pet store, there are 3 male birds.

Step-by-step explanation:

Ratios are used to represent a proportion. In this case, we are comparing female and male birds. So, since female is 5 and male is 3, the ratio is 5:3

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Mrs Wright spent 2/9 of her paycheck on food and 1/3 on rent. She spent 1/4 of the remainder on transportation. She had $210 lef

Troyanec [42]

Mrs Wright's paycheck was $ 630

<u>Solution:</u>

Given that,

Mrs Wright spend on food = $\frac{2}{9}$

Fraction spent on rent = $\frac{1}{3}$

She spent 1/4 of the remainder on transportation

Remaining left with her = $ 210

Let the paycheck amount be "n"

Now, we know that, paycheck amount = used amount + left over amount

Here, left over amount = 210

Paycheck amount = 2/9 of paycheck on food + 1/3 of paycheck on rent + 1/4 of remainder on transportation + 210

$n=\frac{2}{9} n+\frac{1}{3} n+\frac{1}{4}\left(n-\frac{2}{9} n-\frac{1}{3} n\right)+210$

Upon simplifying we get,

$n=\frac{2}{9} n+\frac{3}{9} n+\frac{1}{4} n\left(1-\frac{2}{9}-\frac{3}{9}\right)+210$

$n=\left(\frac{2}{9}+\frac{3}{9}\right) n+\frac{1}{4} n\left(1-\frac{(2+3)}{9}\right)+210$

On simplification, we get

$n=\frac{5}{9} n+\frac{1}{4} n \times \frac{4}{9}+210$

$\mathrm{n}=\frac{5}{9} \mathrm{n}+\frac{1}{9} \mathrm{n}+210$

On adding fractions we get,

$\begin{array}{l}{\mathrm{n}=\frac{6}{9} \mathrm{n}+210} \\\\ {\mathrm{n}-\frac{2}{3} \mathrm{n}=210} \\\\ {\frac{1}{3} \mathrm{n}=210} \\\\ {\mathrm{n}=3 \times 210=630}\end{array}$

Hence, the paycheck amount is $630

3 0

2 years ago

Help?! Also why do these have to be 20 digits long

Paha777 [63]

The fraction would be 7/9.

6 0

2 years ago

Does the associative property hold true for division of integers

LuckyWell [14K]

Answer:

The associative property of integers does not hold true for subtraction and division of integers, as, in the case of subtraction and division, the order of the numbers is important and cannot be changed.

Step-by-step explanation:

For example, 2 - (8 - 9) = 2 - (-1) = 3. Now, if we change the order as 8 - (2 - 9) = 8 - (-7) = 15

7 0

2 years ago

Suppose there is a 21.9% probability that a randomly selected person aged 20 years or older is a jogger. In addition, there is a

Stells [14]

Answer:

The value $P(F\ n \ J) = 0.05$

The answer is No

Step-by-step explanation:

From the question we are told that

The probability a person is a jogger is $P(J) = 21.9 \% = 0.219$

The probability that a person is female given that she jogs is $P(F|J) = 21.9 \% = 0.219$

Generally the probability that a randomly selected person aged 20 years or older is female and jogs? Would it be unusual to randomly select a person aged 20 years or older who is female and jogs is mathematically represented as

$P(F\ n \ J) = P(J)* P(F|J)$

=> $P(F\ n \ J) = 0.219* 0.219$

=> $P(F\ n \ J) = 0.05$

Given that the probability is equal to 0.05 then it is not unusual

8 0

2 years ago

Consider the function represented by the equation y-6x-9 = 0. Which answers

antoniya [11.8K]

Answer:

9x6=54

2x2=4

6+9=15

1+2+3=6

Step-by-step explanation:

4 0

2 years ago