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nadya68 [22]
3 years ago
9

The standard New York state license plate has three letters followed by four digits. How many different

Mathematics
1 answer:
Verizon [17]3 years ago
8 0

Answer:

175,760,000 possible license plates

Step-by-step explanation:

There are 3 spots where there are 26 choices each  

= 26 ^3

and 4 spots where there are 10 choices each (the digits 0 through 9,  

= 10 ^4

This gives:

26^3*10^4=175,760,000

Hope this Helps...!!

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how many pounds of premium coffee beans thats $9.50 pounds should be mixed with 2 pounds of supreme coffee thats $11.75 pounds t
I am Lyosha [343]

Answer:

We need to add 7 pounds of $9.5 premium coffee to make a blend of coffee that $10.

Step-by-step explanation:

Lets take the amount of $9.50 coffee added was x pounds.

The requirement is that the value of 1 pound of resulting mixture of coffee to be $10.

We can use the weighted average value to find the value of the resulting mixture.

⇒\frac{(9.5*x)+(11.75*2)}{(x+2)} =10

=(9.5*x)+(23.5)=10(x+2)

=9.5x+23.5=10x+20

=3.5=0.5x

=x=7

So we need to add 7 pounds of $9.5 premium coffee to make a blend of coffee that $10.

6 0
4 years ago
PLZ HELP ASAP SIMMILAR AND CONGRUENT TRIANGLES
Dvinal [7]
LA=3.5; AY=7
LW=?

LW=LA+AW
AW=?

Let's analyze triangles LAY and YAW
1) Triangle LAY
Angle LAY is 90°
Suppose Angle ALY is x
The angle LYA is the complement of x, for example y:
x+y=90°→y=90°-x

2) Triangle YAW
Angle AYW is the complement of angle LAY (y), then the angle AYW must be equal to x.
Angle YAW is 90°, because the angle LAY is 90°

The triangles LAY and YAW are similars, because they have to congruent angles:
Angle LAY = 90° = Angle YAW
Angle ALY = x = Angle AYW
Then the sides of triangles LAY and YAW must be proportionals:
AW/AY=AY/LA
Replacing the known values:
AW/7=7/3.5
AW/7=2
Solving for AW. Multiplying both sides of the equation by 7:
7(AW/7)=7(2)
AW=14

Now:
LW=LA+AW
LW=3.5+14
LW=17.5

Answer: LW=17.5 units

  
8 0
3 years ago
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