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2 years ago

12

A pet store has 32 more dogs than cats. If there are a total of 144 dogs and cats altogether, then how many cats does the pet st

ore have?

1 answer:

andrew11 [14]2 years ago

3 0

the answer is 112 hope I helped

You might be interested in

Assume that a fair die is rolled. The sample space is , 1, 2, 3, 4, 56, and all the outcomes are equally likely. Find P8. Expres

liraira [26]

Answer:

$P\left(8\right)=0$

Step-by-step explanation:

Assuming that a fair die is rolled.

The sample space is 1, 2, 3, 4, 5, 6 and all the outcomes are equally likely.

Let X be the set of all possible outcomes. Let A be an outcome.

So, the probability that A occurs is:

$P\left(A\right)=\frac{|A|}{|X|}$

As the set of all possible outcomes of the roll of a single die is:

$X=\left\{1,2,3,4,5,6\right\}$

Observe that

$|X|=6$

Here

$|A|=0$ because 8 is not in the set sample space. So, the outcome of occurring the number 8 is not possible from the all possible outcomes.

So, the probability must be zero.

In other words,

$P\left(A\right)=\frac{|A|}{|X|}$

$P\left(8\right)=\frac{0}{6}=0$

Therefore,

$P\left(8\right)=0$

5 0

2 years ago

A baker uses 13 1/2 cups of flour to make bread. She uses 2 1/4 cups of flour to make each loaf. The baker sells 2/3 of the loav

ollegr [7]

Answer:

She sells 4 loaves of bread

Step-by-step explanation:

Lets explain how to solve the problem

→ A baker uses $13\frac{1}{2}$ cups of flour to make bread

→ She uses $2\frac{1}{4}$ cups of flour to make each loaf

From these information we can find the number of loaves of bread

she can make

∵ There are $13\frac{1}{2}$ cups of flour

∵ Each loaf of bread needs $2\frac{1}{4}$ cups of flour

∴ The number of loaves = $13\frac{1}{2}$ ÷ $2\frac{1}{4}$

To divide two mixed numbers make them improper fractions and

change the division sign to multiplication sign and reciprocal the

fraction after the division sign

∵ $13\frac{1}{2}$ = $\frac{(13)(2)+1}{2}$

∴ $13\frac{1}{2}$ = $\frac{27}{2}$

∵ $2\frac{1}{4}$ = $\frac{(2)(4)+1}{4}$

∴ $2\frac{1}{4}$ = $\frac{9}{4}$

∴ The number of loaves = $\frac{27}{2}$ × $\frac{4}{9}$

∴ The number of loaves = 6

<em>She can make 6 loaves</em>

→ The baker sells $\frac{2}{3}$ of the loaves of bread that she makes

→ We need to find the number of loves of bread she sells

∵ She sells $\frac{2}{3}$ of the loaves

∵ There are 6 loves

∴ The number of loaves she sells = 6 × $\frac{2}{3}$ = 4

<em>She sells 4 loaves of bread</em>

7 0

2 years ago

Convert the decimal expansion 0.1777 into a rational number.

Alex17521 [72]

1777/10000. might simplify

8 0

2 years ago

Read 2 more answers

A property valued at $295,000 has a gross rent multiplier of 135. What is this property's monthly income? $2,458,$2,185,$2,525 O

velikii [3]

This is your formula:
$135 = \frac{295000}{x}$
solve for x and your answer is:
$x = 2185$

4 0

2 years ago

Read 2 more answers

Caleb has 20 more books than Danica. If Caleb gives Danica half of his books, Danica will have 4 more books than Caleb. How many

wariber [46]

Answer:

Option E: 24.

Step-by-step explanation:

When Caleb (C) has 20 more books than Danica (D), we have:

$C = 20 + D$ (1)

Now, when Caleb gives Danica half of his books:

$C' = C - \frac{C}{2}$ (2)

Danica will have 4 more books than Caleb, so:

$D' = D + \frac{C}{2}$ (3)

Also we have that:

$D' = C' + 4$ (4)

By entering equation (2) and equation (3) into equation (4) we have:

$D + \frac{C}{2} = C - \frac{C}{2} + 4$ (5)

From (1) we have:

$D = C - 20$ (6)

By entering (6) into (5):

$C - 20 + \frac{C}{2} = C - \frac{C}{2} + 4$

$C = 24$

And, from (6):

$D = C - 20 = 24 - 20 = 4$

Therefore, the correct option is E, Caleb had to start with 24 books.

I hope it helps you!

3 0

2 years ago