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Akimi4 [234]
3 years ago
7

You are taking a multiple-choice test that has six questions. Each of the questions has three answer choices, with one correct a

nswer per question. If you select one of these three choices for each question and leave nothing blank, in how many ways can you answer the questions?
Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer:

729 ways

Step-by-step explanation:

Given

Number of questions = 6

Choices = 3

Required

Number of ways of answering the questions

For each of the 6 questions;

There are 3 possible ways of selecting an answer;

The possible ways for the 6 questions is:

Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3

Possible\ Ways = 729

<em>Hence, there are 729 ways of answering the question</em>

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Jay has $8. he wants to buy a book for $7.50. the sales tax is 6%. does he have enough money? explain your reasoning.
antoniya [11.8K]
Yes he does.

If the sales tax is 6%, that means that he has to pay an extra 6 cents for every dollar.

6x7.5=45

$7.50+$0.45=$7.95
8 0
3 years ago
In preperation for an easter egg hunt, 4 blue eggs are filled for every 7 green. How many green eggs will be filled if 100 blue
ivann1987 [24]

Answer:

1. Typed question: 175 green eggs

2. Attached: 22 tables

Step-by-step explanation:

For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.

4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.

Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}

Now let's solve for x:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}\\\\or\\\\\dfrac{4}{7}=\dfrac{100}{x}\\\\Cross-multiply\\\\4x = (7)(100)\\\\4x = 700\\\\Divide\;both\;sides\;by\;4\\\\\dfrac{4x}{4}=\dfrac{700}{4}\\\\x=175

For your attached problem:

You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.

175 ÷ 8 = 21.9 tables

Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)

21.9 ≅ 22 tables.

8 0
3 years ago
Use special right triangle ratios to find the length of the hypotenuse.
Nady [450]

Answer:

Step-by-step explanation:

8 0
3 years ago
Which equation gives the closest estimate of 692 – 343?
Oliga [24]

Answer:

350

Step-by-step explanation:

Nearest hundred: 300

Nearest whole number: 350

Hope this helped!

6 0
3 years ago
What is the quotient?
mojhsa [17]

whelp the answer to your question, the one you put up at least is 16.333 going on infinitely or 16 and 1/3

7 0
2 years ago
Read 2 more answers
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