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2 years ago

The ratio of cats to dogs at a local pet shelter is 5 to 3. If there are 60 cats in the shelter, which of

Mathematics

1 answer:

andre [41]2 years ago

6 0

Answer:

Step-by-step explanation:

cats : dogs

5 : 3

Since you are looking for dogs it is :-

$\frac{dogs}{cats}$ × 60 cats (the number of cats).

$\frac{3}{5}$ × 60 cats = 36 dogs.

∴ There are 36 dogs.

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Find the height of the cylinder.

lara31 [8.8K]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
-----\\
V=271.4\\
r=6
\end{cases}\implies 271.4=\pi (6)^2h\implies \cfrac{271.4}{\pi (6)^2}=h$

3 0

3 years ago

Read 2 more answers

What is the answer?

taurus [48]

$x^2y^3(1-x^3y)$

This is because you can at most, factor out x² and y³

5 0

3 years ago

Is the equation = 0.25 + 0.5(– 2) linear or nonlinear?

ollegr [7]

Answer:

-0.75 linear

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How To Round 17 5/8 To The Nearest Whole Number

Verdich [7]

Answer:
18

Explanation:
To round a number to the nearest whole number, we would check the fraction part:
If the fraction is less than 0.5, then we would simply ignore the fraction
If the fraction is equal to or more than 0.5, then we would add 1 to the whole number and eliminate the fraction.

In the given , we have:
 $17 \frac{5}{8}$ .

The fraction part is $\frac{5}{8}$ which is greater than 0.5
This means that we would add one to the whole number (round it up) and eliminate the fraction.
Therefore, the answer would be 18.

Hope this helps :)

5 0

3 years ago

Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.

sp2606 [1]

Answer:

(A) The odds that the taxpayer will be audited is approximately 0.015.

(B) The odds against these taxpayer being audited is approximately 65.67.

Step-by-step explanation:

The complete question is:

Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.

A. What are the odds that the taxpayer will be audited?

B. What are the odds against such tax payer being audited?

Solution:

The proportion of U.S. taxpayers who were audited is:

P (A) = 0.015

Then the proportion of U.S. taxpayers who were not audited will be:

P (A') = 1 - P (A)

= 1 - 0.015

= 0.985

(A)

Compute the odds that the taxpayer will be audited as follows:

$\text{Odds of being Audited}=\frac{P(A)}{P(A')}$

$=\frac{0.015}{0.985}\\\\=\frac{3}{197}\\\\=0.015228\\\\\approx 0.015$

Thus, the odds that the taxpayer will be audited is approximately 0.015.

(B)

Compute the odds against these taxpayer being audited as follows:

$\text{Odds against Audited}=\frac{P(A')}{P(A)}$

$=\frac{0.985}{0.015}\\\\=\frac{3}{197}\\\\=65.666667\\\\\approx 65.67$

Thus, the odds against these taxpayer being audited is approximately 65.67.

8 0

3 years ago