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Paladinen [302]
3 years ago
9

Otis bought a flashlight for $8 and a sleeping bag for $55 he sales tax was 7% which means 0.07 times the price find the amount

of sales tax Otis paid on his purchases explain two different ways to solve the problem
Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

$4.41

Step-by-step explanation:

We have been given that Otis bought a flashlight for $8 and a sleeping bag for $55 he sales tax was 7% which means 0.07 times the price.

To find the amount of sales tax, we will add cost of sleeping bag and flashlight and multiply the sum by 0.07.

\$55+\$8=\$63

\text{Amount of sales tax}=\$63\times 0.07

\text{Amount of sales tax}=\$4.41

Therefore, Otis paid an amount of $4.41 in sales tax.

The 2nd way is that we can find sales tax of each product separately and then add the amount of sales of two items as:

\$8\times 0.07=\$0.56

\$55\times 0.07=\$3.85

\$0.56+\$3.85=\$4.41

Therefore, Otis paid an amount of $4.41 in sales tax.

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If k(x) = 2x² -3.Vx, then k(9) is
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Answer:

159

Step-by-step explanation:

k (9) = (2 * 9^{2}) - 3

= (2 * 81) - 3

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8 0
2 years ago
Jake and Lacy work at a golf driving range. At the end of the day, Jake collected 408 golf balls and Lacy collected 374 golf bal
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they will fill 23 baskets. we get this by adding the number of golf balls each of them get to get the total number of golf balls. then, we divide the total number of golf balls by 34 because that's how many they will be able to put into each basket. it will look a little like this: 408+374=782

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3 years ago
The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
nasty-shy [4]

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5 0
2 years ago
slader Suppose that 8% of all bicycle racers use steroids, that a bicyclist who uses steroids tests positive for steroids 96% of
d1i1m1o1n [39]

Answer:

P = 0.4812

Step-by-step explanation:

First, we need to use here two expressions and then do the calculations.

The first one is the conditional probability which is:

P(B|A) = P(A∩B)/P(A)   (1)

The second expression to use has relation with the Bayes's theorem which is the following:

P(D|C) = P(C|D)*P(D) / P(C|D)*P(D) + P(C|d)*P(d)   (2)

Now, the expression (2) is the one that we will use to calculate the probability of a selected random bicyclist who tests positive for steroids.

So, in this case, we will call C for positive and D that is using steroids and d is the opposite of d, which means do not use steroids.

Then, the probabilities are the following:

P(D) = 8% or 0.08

P(C|D) = 96% or 0.96

P(C|d) = 9% or 0.09

P(d) = 1 - 0.08 = 0.92

With these data, let's replace in expression 2

P(D|C) = 0.96 * 0.08 /0.96 * 0.08 + 0.09*0.92

P(D|C) = 0.0768 / 0.1596

P(D|C) = 0.4812 or 48.12%

8 0
3 years ago
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