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Oksanka [162]
3 years ago
5

in a multiple choice test there are 10 questions. each question has 5 choices how many ways can they complete the test no two co

nsecutive answers
Mathematics
1 answer:
klio [65]3 years ago
5 0

Answer:

1310720

Step-by-step explanation:

Given,

Total number of questions = 10,

Number of choices = 5,

If there are no two consecutive answers,

That is, if we have options a, b, c, d and e for each question,

Then, a could not be the answer of two consecutive questions,

We could pick 1 out of 5 answers for the first question and then for the remaining 9 questions we have only have 4 choices,

Hence, the total number of ways = 5 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4

=5\times 4^9

=1310720

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Does anyone know the answer?
azamat

Answer:

1=163 degrees

2=×=10 degrees

3=×=3

Step-by-step explanation:

54x+1+9x-10=180 we are using this expression because alternate angles add up to 180 degrees

54x+9x+1-10=180

63x-9=180

63×=180+9

63×=189

63×÷63×=189÷63×

X=3

Angle in bold print is (54x+1)

54×3=162

162+1=163 degrees

No.2 Find x

7x+35+x+65 =180

7x+x+35×65=180

8x+100=180

8x=180-100

8x=80

8x÷8x=80÷8

X=10 degrees

No.3 Find x

54x+1+9x-10=180

54x+9x+1-10=180

63x-9=180

63x=180+9

63x=189

63x÷63x=189÷63

X=3

I hope I was of help

6 0
3 years ago
Katelyn needs to cover her sofa cushions. If each cushion is a 10 in. by 11 in. by 4 in. rectangular prism, and there are 3 cush
Svet_ta [14]

Answer:

1,164 in²

Step-by-step explanation:

the area of 1 sofa cushion =

2× ( 10×11 + 10×4 + 11×4)

= 2 × (110+40+44)

= 2×(194)

= 388 in²

the fabrics she needs to cover 3 sofa cushions =

3 × 388 = 1,164 in²

3 0
3 years ago
Help fast please!!! <br><br> 6x + 4 = 2x - 12
mario62 [17]
6x+4=-12-4
4x=-16
X=-4
3 0
3 years ago
Anthony received his phone bill in the mail.
leonid [27]

Answer:$133.455

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Visitors to a carnival are invited to guess the number of beans in a jar. The person who guesses the correct number wins $300 if
andrew11 [14]

The relationship between the two variables is inverse proportionality, that is, the greater the number of people, the less the amount of money earned.

Since visitors to a carnival are invited to guess the number of beans in a jar, and the person who guesses the correct number wins $ 300, but if multiple people guess correctly, the prize will be divided evenly among them, to determine what is the relationship between the number of people who guess correctly and the amount of money each person will recieve the following logical reasoning must be performed:

Since the prize is a fixed number, 300, it is a value that will not change. In turn, the more people who have guessed right, the lower the amount of money that each of them will win (because the number 300 will be divided by a greater number).

Therefore, the relationship between the two variables is inverse proportionality, that is, the greater the number of people, the less the amount of money earned.

Learn more in brainly.com/question/2548537

5 0
3 years ago
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