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bazaltina [42]
3 years ago
14

How many 7-digit numbers are there where all the digits are different and in increasing order? for example, the numbers 1345689

and 2456789 would be counted. (the first digit cannot be zero.)?
Mathematics
1 answer:
frutty [35]3 years ago
4 0
For this problem,we use the Fundamental Counting Principle. You know that there are 7 digits in a number. In this principle, you have to multiply the possible numbers for every digit. If the first number cannot be zero, then there are 9 possible numbers. So, the value for the first digit is 9. The second digit could be any number but less of 1 because it was used in the 1st digit. So, that would be 10 - 1 = 9. The third digit must be the value in the second digit less than 1. That would be 9 - 1 = 8. And so on and so forth. The solution would be:

9×9×8×7×6×5×4 = 544,320 7-digit numbers
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Please answer it correctly I need it today please help
alexdok [17]

Answer:

I am about 95% sure that this is what they want. P.s (sorry I cant put the divide symbol)

<u><em>The variable is the number of shirts she bought or x</em></u>

and the equation is <u><em>(375+50) divided by (15+2) = x</em></u>

in the solve spot put

<em><u>(375+50) divided by (15+2)=x</u></em>

<em><u>425 divided by 17=x</u></em>

<em><u>x=25</u></em>

Then your answer would be <u><em>25</em></u>

Step-by-step explanation:

first add 50 to 375 so you get the full price which will give you 425. then to find out how many shirts she bought you must add 2 to 15 to get 17. then divide 425 by 17 which is 25. so she bought <em><u>25 shirts</u></em>.

3 0
3 years ago
. Which of the following is the correct algebraic representation of the translation below?
stepladder [879]

Answer:

D) (x+6, y+5)

Step-by-step explanation:

You can start with the top corner of triangle A

Then count up 5 units and right 6 units

Because you count vertically 5 units that means you're using the y-axis, And because you're counting up, than means the values are positive.

And because you count horizontally 6 units you're using the x-axis, And you are counting to the right so the values are positive.

Down vertically=Negative Y-axis Values. Up vertically=Positive Y-axis Values

Right horizontally=Positive X-axis values. Left horizontally=Negative X-axis Values

8 0
3 years ago
Please help me with this
elena-s [515]

Answer:

9 p.m.

Step-by-step explanation:

Lowest common multiple (LCM) of 6 and 4.

LCM of 6, 4 = 2 × 2 × 3 = 12

After 12 hours 9 A.M. = 9 P.M.

After 12 hours at 9 P.M. she will take both medicines together again.

4 0
3 years ago
What’s the equation in vertex form?
pshichka [43]

Answer:

\large\boxed{y=(x+5)^2-64}

Step-by-step explanation:

\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have the equation:}\ y=x^2+10x-39\to x=1,\ b=10,\ c=-39.\\\\\text{Substitute:}\\\\h=\dfrac{-10}{2(1)}=\dfrac{-10}{2}=-5\\\\k=f(-5)=(-5)^2+10(-5)-39=25-50-39=-64\\\\\text{Finally:}\\\\y=1(x-(-5))^2-64=(x+5)^2-64

8 0
3 years ago
An Air Conditioner uses 850 Watts of electricity and local emissions from electricity produce 1.37 pounds of CO2 per kWh. If you
Zina [86]

Answer: 6,987,000 pounds fo CO₂ per kWh.

Step-by-step explanation: <u>Quilowatt</u>-<u>hour</u> <u>(kWh)</u> is a unit of energy that measures the amount of energy expended in 1 hour.

The AC uses 850 Watts, which in kW is 850,000 kW

If you leave the AC on for 6 hours, it will consume

850,000(6) = 5,100,000 kWh

Eletricity produces 1.37 pounds of CO₂ per kWh, then in 5,100,000 kWh:

1.37 \frac{pounds}{kWh}.(5,100,000kWh) = 6,987,000 pounds

If you open a window for 6 hours, you would keep 6,987,000 pounds of CO₂ for entering the atmosphere.

7 0
3 years ago
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