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Alekssandra [29.7K]
3 years ago
15

assuming that no questions are left unanswered, in how many ways can a six-question quiz with 4-choice multiple choice questions

be answered?
Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Given:

Total number of questions = 6

Choice for each question (in MCQ) = 4

Assuming that no questions are left unanswered.

To find:

The total number ways to answer the quiz, assuming that no questions are left unanswered.

Solution:

Here, Number of ways to answer each question = 4

To find the  total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.

Total number of ways to answer six-question quiz with 4-choice multiple choice questions is

4\times 4\times 4\times 4\times 4\times 4=4096

Therefore, the required number of ways is 4096.

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The wheels of a monster truck are 66 inches tall. Find the distance the monster truck travels when the tires make one 360-degree
LuckyWell [14K]

Answer:

<u>207.35 inches</u>

Step-by-step explanation:

The wheel is in the shape of circle. The height, here, basically gives the diameter.

So,

Diameter = 66 in

Radius is half of diameter, so radius is:

66/2 = 33 inches

r = 33

Now, the distance truck travels when 1 rotation is made is the length of the perimeter of the circular wheel, or the circumference.

The formula is:

C=2\pi r

Where C is circumference

r is the radius

Substituting, we get the answer as:

C=2\pi r\\C=2\pi (33)\\C=66\pi\\C=207.35

The distance covered is about <u>207.35 inches</u>

3 0
3 years ago
Monday: 10 apples and 5 bananas cost £4.20 Friday: 8 apples and 10 bananas cost £5.40 Find the cost of each - with an explanatio
motikmotik

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

Let a be apples and b be bananas.

10a+5b=4.2

8a+10b=5.4

Solve for a:

10a+5b=4.2

<em>Subtract 5b from both sides</em>

10a=4.2-5b

<em>Subtract 4.2 from both sides</em>

10a-4.2= -5b

<em>Multiply both sides by -1</em>

-10a+4.2=5b

8a+10b=5.4

<em>Subtract 10b from both sides</em>

8a=5.4-10b

<em>Subtract 5.4 from both sides</em>

8a-5.4= -10b

<em>Multiply both sides by -1</em>

-8a+5.4= 10b

<em>Divide both sides by 2</em>

-4a+2.7=5b

<u>Combine equations:</u>

-4a+2.7= -10a+4.2

<em>Add 10a to both sides</em>

6a+2.7=4.2

<em>Subtract 2.7 from both sides</em>

6a=1.5

<em>Divide both sides by 6</em>

a=0.25

An apple costs £0.25

Solve for b:

10a+5b=4.2

<em>Subtract 10a from both sides</em>

5b= -10a+4.2

<em>Subtract 4.2 from both sides</em>

5b-4.2= -10a

<em>Multiply both sides by -1</em>

-5b+4.2=10a

8a+10b=5.4

<em>Subtract 8a from both sides</em>

10b= -8a+5.4

<em>Subtract 5.4 from both sides</em>

10b-5.4= -8a

<em>Divide both sides by 4</em>

2.5b-1.35= -2a

Multiply both sides by 5

12.5b-6.75= -10a

<em>Multiply both sides by -1</em>

-12.5b+6.75=10a

<u>Combine equations:</u>

-12.5b+6.75= -5b+4.2

<em>Add 12.5b to both sides</em>

6.75=7.5b+4.2

<em>Subtract 4.2 from both sides</em>

2.55=7.5b

7.5b=2.55

<em>Divide both sides by 7.5</em>

b=0.34

A banana costs £0.34

If you would like to check and see if it is true, (I already checked, it is) you can use the formulas I gave at the start of the explanation.

10a+5b=4.2

8a+10b=5.4

a=0.25

b=0.34

3 0
3 years ago
Use distributive property to solve <br> 5(2x+3y+5z)
lara [203]
5*2x is 10x
5*3y is 15y
5*5z is 25z
4 0
3 years ago
Read 2 more answers
Yoo ill give brainiest doe
Furkat [3]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
does the bowling ball have more potential energy or kinetic energy as it half way through its fall?why
lesantik [10]

Answer:

I think it is ikinetic because it gains speed as it gets closer to the ground.

5 0
3 years ago
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