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3 years ago

13

Jennifer was given this problem.

1 answer:

Eva8 [605]3 years ago

3 0

Answer:

hi I was wondering if I could come in

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In how many ways you can form a combination of 3 numbers and 3 letters in a plate number if repetition is allowed

Lapatulllka [165]

Your plate numbers will be like

$xxxyyy$

where each $x$ is a number, and each $y$ is a letter. Assuming you can use all numbers and letters, you have 10 possible choices for every $x$ place (all the digits from 0 to 10) and 26 possible choices for every $y$ place (all the letters from a to z).

So, if you multiply all the possible choices, you have

$xxxyyy \to 10\cdot 10 \cdot 10 \cdot 26 \cdot 26 \cdot 26 = 10^3 \cdot 26^3 = (10\cdot 26)^3 = 260^3$

So, there is a total of

$260^3 = 17,576,000$

possible plate numbers with 3 letters and 3 numbers, if repetitions are allowed.

5 0

3 years ago

How do you increase £480 by 7.5%

elena55 [62]

$\sf 480+ \frac{7,5*48\not0}{10\not0}= 480+ \frac{36\not0}{1\not0}=480+36=\boxed{\sf 516~\£}$

4 0

3 years ago

a square has a side length of 18 feet. the square was dilated by a scale factor of 1/2 to create a new square. what is the side

dexar [7]

The side length of the new square would be 9. When you dialate you multiply by the square factor, so 1/2 times 18 equals 9.

8 0

4 years ago

Read 2 more answers

Solve for x in the equation x squared + 2 x + 1 = 17.

Whitepunk [10]

Answer:

x = negative 1 plus-or-minus StartRoot 17 EndRoot

Step-by-step explanation:

Given:

$x^2+2x+1=17$

We need to solve for x.

$x^2+2x+1=17 \ \ \ \ equation\ 1$

First we will solve L.H.S

Factorizing the equation we get;

$x^2+2x+1\\=x^2+x+x+1\\=x(x+1)+1(x+1)\\=(x+1)(x+1)\\=(x+1)^2$

Now Things which are equal to the same thing are also equal to one another. Since

$x^2+2x+1=17$

$x^2+2x+1=(x+1)^2$

then, according to the law of transitivity,

$(x+1)^2=17$

Now, applying the Square Root Principle we get:

$\sqrt{(x+1)^2} =\sqrt{17}$

Now Square root and square gets cancelled.

$x+1=\sqrt{17} \\x=-1+\sqrt{17}$

Since a square root has two values, one positive and the other negative.

$x=-1\±\sqrt{17}$

Hence Final Answer is $x=-1\±\sqrt{17}$ .

5 0

3 years ago

Read 2 more answers

Convert 549/ 999 to a decimal.

Setler [38]

You divide 549/999, which makes 0.54954955

0 0

3 years ago

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