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Tomtit [17]
2 years ago
14

Solve the equation. Check your solution.

Mathematics
1 answer:
zzz [600]2 years ago
3 0
I’m pretty sure it’s -4
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A small combination lock on a suitcase has 55 ​wheels, each labeled with the 10 digits 0 to 9. How many 55 digit combinations ar
den301095 [7]
Suppose a_n is the number of possible combinations for a suitcase with a lock consisting of n wheels. If you added one more wheel onto the lock, there would only be 9 allowed possible digits you can use for the new wheel. This means the number of possible combinations for n+1 wheels, or a_{n+1} is given recursively by the formula

a_{n+1}=9a_n

starting with a_1=10 (because you can start the combination with any one of the ten available digits 0 through 9).

For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).

By substitution, you have

a_{n+1}=9a_n=9^2a_{n-1}=9^3a_{n-2}=\cdots=9^na_1=10\times9^n

This means a lock with 55 wheels will have

a_{55}=10\times9^{54}

possible combinations (a number with 53 digits).
7 0
3 years ago
Lukas graphed the system of equations shown.
vampirchik [111]

The system of equations 2x + 3y = 2 and y = (1/2)x + 3 have solutions at x = -2 and y = 2

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

From the system of equations 2x + 3y = 2 and y = (1/2)x + 3, the graph of the equation shows that the solution is at x = -2 and y = 2

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
2 years ago
The list price of a refrigerator is $1899. The chain discount is 20/15. What is the final net price?
shusha [124]
1st = 100% - 20% = 80%
2nd= 100%-15% = 85%

Net Price Factor = 0.8 x 0.85 = 0.68

Net Price = $1899 x 0.68

Final Net Price = $1,291.32

Total Discount= $1899 - 1,291.32 = $607.68


5 0
3 years ago
The table shows how many males and females attended two different movies. How would you find the joint relative frequency of bei
kirza4 [7]

Answer:

B. Divide 124 by 229.

Step-by-step explanation:

Given the table

\begin{array}{cccc}&\text{Action}&\text{Drama}&\text{Total}\\ \\\text{Male}&105&124&229\\ \\\text{Female}&99&151&250\\ \\\text{Total}&204&275&479\end{array}

The <u>joint relative frequency</u> is the ratio of the frequency in a particular category and the total number of data values.

The total number of males =229

The number of males that like drama =124

So, to find the joint relative frequency of being male and attending a drama movie, you should divide 124 by 229.

8 0
3 years ago
Read 2 more answers
Tony has 6 rectangle shaped pieces of wood. He places them down right next to each other. The dimensions of the wood shape are 2
sleet_krkn [62]

Answer: The whole area of all the wood is 36

Step-by-step explanation:

The formula for area of a rectangle is length times width. A=lw

You plug the numbers into the formula: A=2*3 = 6

The area for one piece of wood is 6 ft

If you take multiply one area of wood by the amount of wood - you get the whole area amount of all the wood. So 6*6 = 36.

5 0
3 years ago
Read 2 more answers
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