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anastassius [24]
2 years ago
10

A state requires that all boat licenses consist of the letter A or M followed by any five digits. What is the number of groups o

f letters and numbers available for boat licenses?
Mathematics
1 answer:
torisob [31]2 years ago
7 0

Answer:

200000

Step-by-step explanation:

The boat licenses are strings of six elements. Let's count the number of ways of constructing such string with the given conditions.

There are 2 ways of choosing the first character of the string (A or M). The second character can be any digit, so there are 10 possible choices. The third character is also any digit, so it can be chosen in 10 ways. Similarly, the fourth character can be chosen in 10 ways, and the fifth character can be chosen in 10 ways.

By the product rule there are 2×10×10×10×10×10=2×10^5=200000 ways to choose all the characters. Every choice of characters becomes a unique string (boat license) thus the number of avaliable boat licenses is 200000.s

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Sutopa has 3/4 of the money Maneet has. Maneet has $18 less than Kim. Together, they have $286.40. How much money does each of t
anastassius [24]

Solving a system of equations we can see:

  • Sutopa has $73.20
  • Maneet has $97.60
  • Kim has $115.60

<h3>How much money each of them has?</h3>

First, let's define the variables:

  • S =  money that Sutopa has.
  • M = money that Maneet has.
  • K = money that Kim has.

We can write the system of equations:

S = (3/4)*M

M = K - $18

S + M + K = $286.40

First, we can rewrite the second equation to get:

K = M + $18

Now we can replace the first and second equations into the third one:

(3/4)*M + M + (M + $18) = $286.40

Now we can solve this for M:

M*(1 + 1 + 3/4) = $286.40 - $18

M = $268.40*(4/11) = $97.60

Now we can find the other two values:

K = M + $18 =  $97.60 + $18 = $115.60

S =  (3/4)*M =  (3/4)*$97.60 = $73.20

If you want to learn more about systems of equations:

brainly.com/question/13729904

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6 0
2 years ago
How do you graph and translate a shape ​
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See in the explanation

<h2>Explanation:</h2>

Translating a shape is part of that we called Rigid Transformations. This is called like this because the basic form of the shape doesn't change. So this only changes the position of the chape in the coordinate plane. In mathematics, we have the following rigid transformations:

  • Horizontal shifts
  • Vertical shifts
  • Reflections

Horizontal and vertical shifts are part of translation. So the question is <em>How do we graph and translate a shape?</em>

To do so, you would need:

  1. A coordinate plane.
  2. An original shape
  3. Set the original shape in the coordinate plane.
  4. A rule
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For example, the triangle below ABC is translated to form the triangle DEF. Here, we have a coordinate plana and an original shape, which is ΔABC. So this original shape has three vertices with coordinates:

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B(-2, 0)

C(-2, 4)

The rule is <em>to translate the triangle 6 units to the right and 1 unit upward. </em>So we get the translated shape ΔDEF with vertices:

D(2,1)

E(4, 1)

F(4, 5)

<h2>Learn more:</h2>

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3 0
3 years ago
Please help me on this.
ValentinkaMS [17]

Answer:

first one: function

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Step-by-step explanation:

it is never a function if two of the x inputs are the same or if one x input has two y outputs..

<em>Hope this helps!! Pls mark me brainliest!!</em>

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