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Ivan
2 years ago
6

In how many different ways can you answer a multiple choice test that has 5 questions and 3 choices for each answer?

Mathematics
1 answer:
GarryVolchara [31]2 years ago
3 0

Answer:

243

Step-by-step explanation:

If there is one question that has three choices a1, a2, and a3, then there will be 3 i.e. 3¹ different ways of answering which are a1 or a2 or a3.

If there are two questions that have answer choices a1, a2, a3 and b1, b2, b3 then there will be 9 i.e. 3² different ways of answering which are a1-b1, a1-b2, a1-b3, a2-b1, a2-b2, a2-b3, a3-b1, a3-b2, and a3-b3.  

Similarly, when there are 5 questions that have three choices each, then there will be 3⁵ i.e. 243 ways of answering options. (Answer)

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2 years ago
The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?
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7 0
3 years ago
Ram noticed three students used 1 2/10 dm of tape.what was the total used for three students???
OLga [1]

Answer:

18/5

Step-by-step explanation:

<em>From my understanding, this is 1 whole 2 upon 10</em>

<u>Step 1: Convert mixed fraction into fraction</u>

<em>Multiply whole number by denominator: 1 x 10 = 10</em>

<em>Add numerator: 10 + 2 = 12</em>

<em>Write the result as the numerator and use the same denominator.</em>

12/10

<u>Step 2: Find the total tape used</u>

<em>From my understanding, each student used 12/10 of the tap</em>

<em>So 3 students used: 12/10 x 3 =</em> 18/5

Therefore, the total tape used for three students was 18/5.

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7 0
3 years ago
the sum of three times one number, x, and five times a second number,y, is 77. if the sum of the two numbers is 19, find the two
HACTEHA [7]

Answer:

x=9, y=10. (9, 10). The two numbers are 9 and 10.

Step-by-step explanation:

3x+5y=77

x+y=19

------------------

3x+5y=77

-3(x+y)=-3(19)

---------------------

3x+5y=77

-3x-3y=-57

-------------------

2y=20

y=20/2

y=10

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x=19-10

x=9

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3 years ago
How many hours are in 270 minutes
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3 years ago
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