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8090 [49]
2 years ago
10

How many different 3-digit PIN codes are there that only include the digits 7, 4, 3 and 2?

Mathematics
1 answer:
KengaRu [80]2 years ago
6 0

Answer:

64

Step-by-step explanation:

We can use the product rule of counting to answer this:

There are 4 possibilities for the 1st digit
There are 4 possibilities for the 2nd digit
There are 4 possibilities for the 3rd digit
So we use the product rule of counting to give us:

4×4×4=64

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The equation y=2.16x describes the weight y of x cubic pounds of pudding. Find three solutions, list them as ordered pairs and t
loris [4]

Answer:

(1,2.16), (2,4.32) and (3, 6.48).

The solution (1,2.16) means that 1 cubic units of pudding weighs 2.16 pounds.

The solution (2,4.32) means that 2 cubic units of pudding weighs 4.32 lbs.

Step-by-step explanation:

The equation y=2.16x describes the weight y of x cubic pounds of pudding.

The three solutions of this equation are (1,2.16), (2,4.32) and (3, 6.48).

Now, solution (1,2.16) means that 1 cubic unit of pudding weighs 2.16 pounds.

Again, solution (2,4.32) means that 2 cubic units of pudding weigh 4.32 lbs. (Answer)

8 0
3 years ago
A circle’s circumference is approximately 76 cm. Find the radius, diameter, and area of the circle to the nearest centimeter. Us
PolarNik [594]

Answer: Area= 459.73cm^2

Step-by-step explanation: Circumference of a circle is 2πr

76=2×3.14×r

r= 76÷(6×3.14)

r=12.10

Area of a circle= πr^2

Area= 3.14×(12.10)^2

Area= 456.73cm^2

3 0
3 years ago
|3x-7|-7=x solve the equation for all values of x
romanna [79]

The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.

<h3>What are the solutions to the given equation?</h3>

Given the equation in question;

|3x-7| - 7 = x

First, add 7 to both sides.

|3x-7| - 7 + 7 = x + 7

|3x-7|  = x + 7

Next, remove the absolute value term, this creates a ± on the right side of the question.

|3x-7|  = x + 7

3x-7  = ±( x + 7 )

The complete solution is the result of both the negative and positive portions of the solution.

For the first solution, use the positive of ±.

3x-7  = ( x + 7 )

3x - 7  =  x + 7  

3x - x = 7 + 7

2x = 14

x - 14/2

x = 7

For the second solution, use the negative of ±.

3x-7  = -( x + 7 )

3x-7  = -x - 7

3x + x = -7 + 7

4x = 0

x = 0/4

x = 0

Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.

Learn to solve more equation involving absolute value term here: brainly.com/question/28635030

#SPJ1

4 0
1 year ago
Last year Kaitlin opened an investment account with $7600. At the end of the year, the amount in the account had increased by 6.
Doss [256]

The increase was: 494

7 0
2 years ago
What is the starting number is this puzzle? +7 -4 x3 =30
GarryVolchara [31]

Answer:

35+7-3x4=30

Step-by-step explanation:

35+7=42 42-12= 30 so the starting number is 35.

8 0
2 years ago
Read 2 more answers
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