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Anna71 [15]
3 years ago
6

Lily forgot the security code for her apartment building. the code is two different numbers followed by a letter. how many diffe

rent possible codes are ther?
Mathematics
1 answer:
umka21 [38]3 years ago
8 0
Assuming the keypad has all 26 letters and the numbers 1-9 there are 2106 possible codes

9x9x26=2106

You might be interested in
6
denis23 [38]

Answer:

B = 325

Step-by-step explanation:

Given

Total = 900

Singing = 600

Dancing = 500

None = 125

Required

Determine the number of students that participate in both

Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;

In Set Notation;

Total = (S - B) + (D - B) + N + B

Substitute 900 for Total, 600 for S, 500 for D and 125 for N

900 = (600 - B) + (500 - B) + 125

Open Brackets

900 = 600 - B + 500 - B + 125 + B

Collect Like Terms

900 = 600  + 500  + 125 - B - B + B

900 = 1225- B - B + B

900 = 1225- B

Collect Like Terms

900 - 1225 = -B

-325 = -B

Multiply both sides by -1

-1 * -325 = -B * -1

325 = B

Reorder

B = 325

<em>Hence, the number of students that do not participate in both is 325</em>

4 0
3 years ago
What substation should be used to rewrite 4x^4-21z^2+20=0
elena-s [515]
\left[x _{4}\right] = \left[ \frac{ - \left( -1\right) ^{\frac{3}{4}}\,\sqrt[4]{\left( 20 - 21\,z^{2}\right) }}{\sqrt[4]{4}}\right][x​4​​]=[​​4​​√​4​​​​​−(−1)​​4​​3​​​​​4​​√​(20−21z​2​​)​​​​​]
I hope helping with u
6 0
3 years ago
What is the greatest common factor of 24 and 30
romanna [79]
The greatest common factor of 24 and 30 is 6.
4 0
3 years ago
Read 2 more answers
Please help mee pleaseee
nalin [4]

Answer:

The exact answer in terms of radicals is x = 5*\sqrt[3]{25}

The approximate answer is x \approx 14.62009 (accurate to 5 decimal places)

===============================================

Work Shown:

Let y = \sqrt[5]{x^3}

So the equation reduces to  -7  = 8-3y

Let's solve for y

-7 = 8-3y

8-3y = -7

-3y = -7-8 ... subtract 8 from both sides

-3y = -15

y = -15/(-3) ... divide both sides by -3

y = 5

-----------

Since y = \sqrt[5]{x^3} and y = 5, this means we can equate the two expressions and solve for x

y = 5

\sqrt[5]{x^3} = 5

x^3 = 5^5 Raise both sides to the 5th power

x^3 = 3125

x = \sqrt[3]{3125} Apply cube root to both sides

x = \sqrt[3]{125*25}

x = \sqrt[3]{125}*\sqrt[3]{25}

x = \sqrt[3]{5^3}*\sqrt[3]{25}

x = 5*\sqrt[3]{25}

x \approx 14.62009

4 0
3 years ago
Read 2 more answers
Match the mathematical expression with its translation
egoroff_w [7]

Answer:

\begin{array}{cc}\text{Mathematical expression}&\text{Translation}\\ \\xy&\text{The product of two numbers}\\ \\\dfrac{x}{y}&x\text{ divided by }y\\ \\x-y&x\text{ minus }y\\ \\x+y&\text{the sum of }x\text{ and }y\\ \\y-x&x\text{ subtracted from }y\\ \\y:x&y\text{ divided by } x\\ \\x+y=6&\text{the sum of two numbers is 6}\\ \\xy=6&\text{the product of two numbers is 6}\\ \\6x=y&\text{6 times a number equals }y\\ \\y=x-6&\text{6 less than a number is }y\end{array}

Step-by-step explanation:

\begin{array}{cc}\text{Mathematical expression}&\text{Translation}\\ \\xy&\text{The product of two numbers}\\ \\\dfrac{x}{y}&x\text{ divided by }y\\ \\x-y&x\text{ minus }y\\ \\x+y&\text{the sum of }x\text{ and }y\\ \\y-x&x\text{ subtracted from }y\\ \\y:x&y\text{ divided by } x\\ \\x+y=6&\text{the sum of two numbers is 6}\\ \\xy=6&\text{the product of two numbers is 6}\\ \\6x=y&\text{6 times a number equals }y\\ \\y=x-6&\text{6 less than a number is }y\end{array}

6 0
3 years ago
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