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Ainat [17]
2 years ago
10

A lock is using 3 digits from 1 to 7 as its lock combination, the numbers can be repeated. How many different possible lock comb

inations are there?
Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
7 0

The question is an illustration of selection (or combination)

The number of lock combination is 343

The given parameters are:

<em />n = 7<em> --- the number of digits to select from</em>

<em />r = 3<em> --- the number of digits the lock uses</em>

<em />

Because the digits can be repeated, the number of lock combinations is:

Lock = n^r

So, we have:

Lock = 7^3

Lock = 343

Hence, the number of lock combination is 343

Read more about combinations at:

brainly.com/question/15301090

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The graph shows the relationship between the number of pounds of pears purchase and the total cost of the pears.
Katarina [22]
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Nancy’s morning routine involves getting dressed , eating breakfast, making her bed , and driving to work . Nancy spends 1/3 of
grin007 [14]

Answer: Nancy needs 26 minutes to driving to work.

Explanation:

Since we have given that

Time taken in eating breakfast = 10 minutes

Time taken in making her bed = 5 minutes

Let the total time taken by her in doing routine activities be x

Time taken in getting dressed is given by

\frac{1}{3}x

So, According to question,

\frac{x}{3}+10+5=35\frac{1}{2}\\\\\frac{x}{3}+15=\frac{71}{2}\\\\\frac{x}{3}=\frac{71}{2}-15\\\\\frac{x}{3}=\frac{71-30}{2}=\frac{41}{2}\\\\x=\frac{123}{2}

Now, we need to find the time taken in driving to work which is given by

\frac{123}{{2}-\frac{71}{2}=\frac{52}{2}=26\ minutes

Hence, Nancy needs 26 minutes to driving to work.

6 0
3 years ago
Evaluate the expression for n =8 <br> 3+7 x n
bonufazy [111]

Answer:n=-83/60 or -1.383

Step-by-step explanation:

4 0
3 years ago
What is the measure of angle BAC? Round to the nearest whole degree.
Deffense [45]

The answer would be 70 degrees.

In order to find this answer, we must first look at the cos value of an angle. The unknown angle here gives us an adjacent side of 3.4 and a hypotenuse of 10. Thus, we can use the following with cos.

Cos(A) = 3.4/10 or Cos(A) = .34

As a result, we can then use the arccos function to find the answer.

acrcos(.34) = A

70.12 = A

Then when we round, we'd get 70.

6 0
3 years ago
The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 247
vlabodo [156]

Answer: 288.17

Step-by-step explanation:

y ∝ x

⇒ y = kx

substituting the given value of x and y , the equation becomes

12 = 14 k

therefore

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The formula then becomes

y = 6/7 x

when y = 247, we have

247 = 6/7 x

6x = 247 x 7

6x =  1729

x = 1729/6

x = 288. 17

6 0
3 years ago
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