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Igoryamba
4 years ago
7

In a certain state, each automobile license plate number consists of two letters followed by a four-digit number. to avoid confu

sion between "o" and zero and between "i" and one, the letters "o" and "i" are not used. how many distinct license plates can be formed in this state?
Mathematics
1 answer:
777dan777 [17]4 years ago
3 0
24×24×10×10×10×10=5 760 000
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Mark can paint a room in 3 hours, Frank can paint an identical room in 4 hours. How many hours would it take Mark and Frank to p
IRINA_888 [86]

All you have to do is find the LCD of the number of hours Mark and Frank uses to paint a room.

Mark - 3

Frank - 4

So list the numbers that are a result of a number and 3 and 4

(example: 4 x 1 = 4, 3 x 3 = 9)

3 - 3, 6, 9, 12, 15

4 - 4, 8, 12, 16

The list goes on and on but what we need to get is the LCD so it means it's the least number that 3 and 4 have in common.


3 and 4 both have 12 so The LCD of 3 and 4 is 12.

Another way of finding the LCD could be multiplying the numbers together, but it's not always gonna be the least number. Remember that LCD stands for Least Common Denominator.

How many hours would it take Mark and Frank to paint the room together at their respective rates?

The answer is - 12 hours

8 0
4 years ago
What is the solution for x in the equation?<br><br> 1/2 - x + 3/2= x - 4
Delvig [45]

Answer:

1/2-x+3/2=x-4

1/2-(2x+3)/2=x-4

(1-2x+4)/2=x-4

(4-2x)/2=x-4

4-2x=2(x-4)

4-2x=2x-8

4+8=2x+2x

12=4x

12/4=x

3=x

i think it should help for you

3 0
3 years ago
Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. xy = 4 (a) Find dy/d
kompoz [17]

Answer:

a) -0.9375

b) 1.25

Step-by-step explanation:

We are given the following in the question:

f(x,y) = 4

where x and y are both differentiable functions of t.

a)  x = 8 and dx/dt = 15

\\xy = 4\\\\y = \dfrac{4}{x}\\\\y = \dfrac{4}{8}=\dfrac{1}{2}\\\\\dfrac{d(f(x,y))}{dt} = 0\\\\x\dfrac{dy}{dt} + y\dfrac{dx}{dt} = 0\\\\8\dfrac{dy}{dt}  + \dfrac{1}{2}(15) = 0 \\\\\dfrac{dy}{dt} = \dfrac{1}{8}\times \dfrac{-15}{2}\\\\\dfrac{dy}{dt} = -\dfrac{15}{16}\\\\\dfrac{dy}{dt}=-0.9375

b) x = 1 and dy/dt = –5

xy = 4\\\\y = \dfrac{4}{x}\\\\ y= 4\\\\\dfrac{d(f(x,y))}{dt} = 0\\\\x\dfrac{dy}{dt} + y\dfrac{dx}{dt} = 0\\\\(1)(-5)  + 4\dfrac{dx}{dt} = 0 \\\\\dfrac{dx}{dt} = \dfrac{5}{4}\\\\\dfrac{dx}{dt} = 1.25

3 0
4 years ago
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessa
Korvikt [17]
Use Pythagorean Theorem:
28^2+15^2=c^2
1009=c^2
Square both sides:
31.8
A
3 0
3 years ago
gavin and marco each have equal sized pieces of rope. gavin uses 1/4 of his rope for an art project. marco uses 1/8 of his rope
marissa [1.9K]

Answer:

Gavin uses more rope.

Step-by-step explanation:

Because 1/4>1/8, since 1/4=0.25 and 1/8=0.125.

5 0
4 years ago
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