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Iteru [2.4K]
4 years ago
11

The lock on a safe requires a three-digit code to open it. The three digits must each be a number from 0-9 (10 possible numbers)

. Each number cannot be used more than once in the code. How many codes could there be?
A.1,000
B.720
C.30
D.120
Mathematics
1 answer:
vovangra [49]4 years ago
7 0
The correct answer is Choice B: 720.

To solve this, you have to use the Fundamental Counting Principal. You find the total number of options for each of the digits, then multiply them together.

For the first one, there are 10 options, then 9 options and finally 8 options.

10 x 9 x 8 = 720
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Sonia earned 2,100 at her uncle’s orchid .if she worked for 70 days and earned the same amount of money each day.how much money
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Answer:

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Step-by-step explanation:

2,100 divided by 70 is 30

4 0
3 years ago
What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?
olga2289 [7]

Step 1

<u>Find the slope of the given line</u>

Let

A(-3,2)\ B(2,-1)

slope mAB is equal to

mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}

Step 2

<u>Find the slope of the line that is perpendicular to the given line</u>

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}

Step 3

<u>Find the equation of the line with mCD and the point (3,0)</u>

we know that

the equation of the line in the form point-slope is equal to

y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5

Multiply by 3 both sides

3y=5x-15

5x-3y=15

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the answer is

the equation of the line that is perpendicular to the given line is the equation 5x-3y=15

4 0
3 years ago
Read 2 more answers
Solve for x: 7x + 7 = 21.
ella [17]
7(2)=14
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6 0
4 years ago
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Elza [17]

Answer:

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Step-by-step explanation:

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Let x = speed in still water

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The main difference with these problems is rate needs to be expressed using two variables  because moving upstream the current is against you and downstream it moves with you.

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The distance column with the numbers from the problem and the value for speed in  still water for x.

Distance Rate Time

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Downstream 16 5 + c

The column for time using the other two columns knowing that  rate,  distance  ⇒ time =  Distance Rate Time

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5 − c

4

Downstream 16 5 + c

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16

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7 0
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Answer:

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Step-by-step explanation:

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