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anastassius [24]
4 years ago
6

The grocery store pays a 15% tax on alcohol sales last year. The total tax paid last year was $3750. What was the total sales fo

r alcohol last year?
Mathematics
1 answer:
ss7ja [257]4 years ago
3 0
3750/15%= 3750 / 0.15 = 25000
A: $25000
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Heather buys a bag of cookies that contains 5 chocolate chip cookies, 8 peanut butter cookies, 9 sugar cookies and 4 oatmeal coo
elixir [45]

Answer:

0.0862 = 8.62% probability that Heather reaches in the bag and randomly selects 2 peanut butter cookies from the bag

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcoes.

The order in which the cookies are selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

2 peanut butter cookies, from a set of 4. So

D = C_{8,2} = \frac{8!}{2!6!} = 28

Total outcomes:

2 cookies from a set of 5+8+9+4 = 26. So

T = C_{26,2} = \frac{26!}{2!24!} = 325

Probability:

p = \frac{D}{T} = \frac{28}{325} = 0.0862

0.0862 = 8.62% probability that Heather reaches in the bag and randomly selects 2 peanut butter cookies from the bag

7 0
3 years ago
Whats the percent of 7.5% of 25
Fittoniya [83]

7.5% is 0.075     I hope that's right


7 0
3 years ago
Which term is defined as a loan given to students to help pay for education-related expenses?
victus00 [196]

Answer:

Student Loan.

It is a discount given to students for educational purposes.

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A rectangular box is 4 cm ?wide, 4 cm ?tall, and 12 cm long. What is the diameter of the smallest circular opening through which
dolphi86 [110]

Answer:

The smallest box dimensions are 4 x 4 cm.

Find the diagonal and this would be the diameter of the smallest circle.

Using the Pythagorean theorem:

4^2 + 4^2 = c^2

16 + 16 = c^2

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c = 5.658 cm ( Round answer as needed.)

3 0
3 years ago
Find the slant height of this square pyramid.
Serga [27]

Answer:

<h2>3√3 in</h2>

Step-by-step explanation:

The lateral side is the equilateral triangle.

The formula of a height of an equilateral triangle with the sides <em>a</em>

h=\dfrac{a\sqrt3}{2}

We have <em>a = 6 in</em>.

Substitute:

h=\dfrac{6\sqrt3}{2}=3\sqrt3

3 0
3 years ago
Read 2 more answers
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