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kotegsom [21]
3 years ago
10

You need to have a password with 4 letters followed by 3 even digits between 0 and 9, inclusive. If the characters and digits ca

nnot be used more than once, how many choices do you have for your password?
Mathematics
1 answer:
Gekata [30.6K]3 years ago
4 0

Answer: 21528000 choices

Step-by-step explanation:

Since there are 26 letters of the alphabet and no alphabet is to be used more than once,

then the first letter can be chosen in 26ways

Second letter can be chosen im 25ways

Third letter can be chosen in 24ways

Fourth letter can be chosen in 23ways.

Since we can only use even digits, then the even digits we have are "0,2,4,6,8"

Then the first digit can be chosen in 5ways

Second digit can be chosen in 4ways

Third digit can be chosen in 3ways.

Total number of choices for this pass word = 26×25×24×23×5×4×3 = 21528000 choices

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A 4-quart jug of juice costs $5.60. What is the price per cup?
Vinvika [58]

Answer:

$0.35 per cup

Step-by-step explanation:

<u>Step 1:  Find the unit price per quart</u>

5.60 / 4

<em>$1.40 per quart</em>

<em />

Step 2:  Find the unit price per cup

1 quart = 4 cups

1.40 quarts / 4 cups

<em>$0.35 per cup</em>

<em />

Answer:  $0.35 per cup

8 0
3 years ago
Find the equation of the line with a slope of 4 and passing through (0,3)
Simora [160]

4x -  y + 3 =0 is the equation of the line

Step-by-step explanation:

Given:

The slope of the line  =  5

The points through with the line passes = (0,3)

To Find:

The equation of the line  =?

Solution:

The equation  y = mx + b

where m is the slope and (0,b) is the y-intercept.

The slope is given which is m = 4 and a point (0,3)

Then you can use slope-point equation

y - y_o = m(x - x_o)

where (x_o,y_o) is the given point

y - (3) = 4(x - 0)

y - 3 = 4(x)

y = 4x - 22

y - 3 = 4x

4x - y + 3 = 0

3 0
3 years ago
Read 2 more answers
Find the equation of the tangent plane to the surface z=e−x/17ln(y) at the point (3,3,0.920883)
bonufazy [111]
I dont know i will tell you when i find out
5 0
3 years ago
QUESTION 1 (ONLY ANSWER FOR ALL QUESTIONS) a) 2x/3 =8 (what is x=?) b)3x/2 =6 (what is x=?) QUESTION 2 a)x/3 -2 =6 (what is x=?)
Alex777 [14]

Answer:

1 (a) x = 12

1 (b) x = 4

2 (a) x = 24

2 (b) x = 20

3 (a) x = 4

3 (b) x = 17.5

Step-by-step explanation:

1 (a)

2x/3 = 8

2x = 8 × 3

2x = 24

x = 24 ÷ 2

x = 12

1 (b)

3x/2 = 6

3x = 6 × 2

3x = 12

x = 12 ÷ 3

x = 4

2 (a)

x/3 - 2 = 6

x/3 = 6 + 2

x/3 = 8

x = 8 × 3

x = 24

2 (b)

x/5 + 1 = 5

x/5 = 5 - 1

x/5 = 4

x = 4 × 5

x = 20

3 (a)

5x/2 + 1 = 11

5x/2 = 11 - 1

5x/2 = 10

5x = 10 × 2

5x = 20

x = 20 ÷ 5

x = 4

3 (b)

2x/7 - 3 = 2

2x/7 = 2 + 3

2x/7 = 5

2x = 5 × 7

2x = 35

x = 35 ÷ 2

x = 17.5

5 0
3 years ago
Molly is painting her bedroom walls, and the paint costs $24 per gallon. how much does the paint cost per quart?
Lostsunrise [7]
$24 divided into quarts is $6 
5 0
3 years ago
Read 2 more answers
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