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Meghan needs to board her cats and dogs at a kennel while she's on vacation. Pet Hotel charges $42.50 for a cat and $64.00 for a

Alex Ar [27]

Answer:

3 dogs and 2 cats.

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x: number of cats

let y: number of dogs

So:

42.5 * x + 64 * y = 277

35.5 * x + 50.5 * y = 222.5 => x = (222.5 - 50.5 * y) /35.5

Replacing, we are left with that:

42.5 * (222.5 - 50.5 * y) /35.5 + 64 * y = 277

266.37- 60.45 * y + 64 * y = 277

64 * y - 60.45 * y = 277 - 266.37

3.55 * y = 10.63

y = 10.63 / 3.55

y = 2.99, about 3

Now to calculate x:

x = (222.5 - 50.5 * 3) /35.5

x = 2

Which means that it has a total of 3 dogs and 2 cats.

3 0

3 years ago

Read 2 more answers

What rations form a proportion ?

igomit [66]

⅔ and 8/12 form a proportion.

7 0

3 years ago

the audience in a theatre is made up of the following ratio: men:women:children 3:4:5. there are 348 people in the audience. cal

scoundrel [369]

There are 87 men 3 is the male ratio You add all the ratios 3+4+5=12 3/12×348 =87

7 0

3 years ago

Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If th

ioda

Answer:

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 69.0 inches and a standard deviation of 2.8 inches.

This means that $\mu = 69, \sigma = 2.8$