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2 years ago

Cammy bought a jacket at $43.50. The

Mathematics

2 answers:

stiv31 [10]2 years ago

8 0

Answer:

ypu need to use the method before change and after

Katen [24]2 years ago

8 0

well, the regular price was "x" and that's namely the 100%.

however today's price is 43.50, and we know that's 25% off the regular "x" price , hmmm so 100% - 25% = 75%, so 43.50 is really 75% of the regular price, so

$\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 43.50&75 \end{array}\implies \cfrac{x}{43.50}=\cfrac{100}{75}\implies \cfrac{x}{43.50}=\cfrac{4}{3} \\\\\\ 3x=174\implies x=\cfrac{174}{3}\implies x=58$

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It took Margie 2 1/4hours to write a 1 1/2 page research paper . What was her hourly writing rate

WARRIOR [948]

Margie would take 1 hour and 30 minutes to write 1 page of her research paper. Think of it like a proportion:

2.25/ 1.5 = x/1

2.25 is the 2 1/4 converted which is the amount of hours she took.

1.5 is the 1 1/2 converted which are the amount of pages she wrote total.

1 on the right side of the proportion represents 1 page.

And x are the amount of hours used to write 1 page.

And in solving that proportion it would result in 1.5 or 1hr. and 30 min.

5 0

3 years ago

I NEED HELP WITH THESE TWO QUESTIONS PLZ DO NOT ANSWER IF YOU CANNOT EXPLAIN THE ANSWER

Murljashka [212]

9514 1404 393

Answer:

1. asymptotes: x=-6, x=6, y=0; zero: x=0

2. 20 blue fish

Step-by-step explanation:

1. The vertical asymptotes are where the denominator is zero. It factors as (x-6)(x+6), so will have zeros at x=-6 and x=6.

The horizontal asymptote is at the limit when x goes to infinity. Here, the ratio of highest-degree terms is 6/x, so the value goes to zero as x gets large.

The zero is where the numerator is zero, at x=0.

In summary:

vertical asymptotes: x = ±6
horizontal asymptote: y = 0
zero: (0, 0)

2. 60% are red, so 40% are blue. The difference in percentages is 60%-40% = 20%. The percentage of blue fish (40%) is twice the difference (=2×20%), so the number of blue fish is twice the difference in numbers.

blue fish = 2×10 = 20 fish

Check

There are then 20+10=30 red fish, so 20+30=50 fish total. Reds are 30/50 = 60% of the total.

Additional comment

I find it often works well to work with ratios, which I can often do in my head. Other folks like to see equations. Here, we could write equations like ...

r = 60%(r + b) . . . . reds are 60% of the total

r - b = 10 . . . . . . . . 10 more reds than blues

We want the value of b, so we can eliminate r by substituting for it:

r = 10 + b . . . . from the second equation above

(10 +b) = 0.60((10 +b) + b) . . . . substitute for r

10 +b = 6 + 1.2b . . . simplify

4 = 0.2b . . . . subtract b+6

20 = b . . . . . . multiply by 5 (there are 20 blue fish)

6 0

3 years ago

Where are the asymptotes for the following function located? f(x)= 7/ x^2-2x-24

Zarrin [17]

Factor the demoniator:-

x^2 -2x - 24 = (x - 6)(x + 4)

the asymptotes occurs when denominator = 0

so here they are the vertical lines x = 6 and x = -4

7 0

3 years ago

Read 2 more answers

catriona earned 16 more stickers than Peter. she earned 35 stickers. how many stickers did Peter earn?

expeople1 [14]

Answer:

Step-by-step explanation:

If Catriona has 16 more stickers than Peter than the only thing you have to do is subtract and find the difference

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3 years ago

Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5

LiRa [457]

Answer:

11.51% probability that it will take less than 450 days to train all the contestants.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .