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Bumek [7]
2 years ago
6

Which of these numbers: 3, 4, 18, 111, 123, 340, 345, 456, 555 ... Are multiples of 3, but not multiples of 9? ​

Mathematics
2 answers:
Stella [2.4K]2 years ago
3 0

Answer:

555,3, 111, 123, 345, 456

mamaluj [8]2 years ago
3 0
Numbers 3, 111, 123, 345, 456 and 555 are multiples of 3 but not 9.
Divisibility rule of 3 = The sum of digits should be divisible by 3

Example : 123 / 3 = (1 + 2 + 3) / 3 = 6/3
Therefore 123 is divisible by 3 because 6 is divisible by 3

Divisibility rule of 9 = Sum of digits should be divisible by 9

Example 135 / 9 = (1 + 3 + 5) / 9 = 9 / 9
Therefore 135 is divisible by 9 because 9 is divisible by 9

Hope this helps
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Compute the total pay:
stiv31 [10]

Answer:

$112.65

Step-by-step explanation:

7.25 x 8 = 58

58 + 54.65 = 112.65

3 0
3 years ago
An elementary school is offering 2 language classes: one in Spanish (S) and one in French (F). Given that P(S) = 50%, P(F) = 40%
nikklg [1K]

Answer:

(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French = 0.5 .

(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish = 0.6 .

Step-by-step explanation:

We are given that an elementary school is offering 2 language classes ;

 <em>Spanish Language is denoted by S and French language is denoted by F.</em>

Also we are given, P(S) = 0.5 {Probability of students taking Spanish language}

P(F) = 0.4 {Probability of students taking French language}

P(S\bigcup F) = 0.7 {Probability of students taking Spanish or French Language}

<em>We know that,  </em>P(A\bigcup B)<em>  = </em>P(A) + P(B) -<em> </em>P(A\bigcap B)<em />

So, P(S\bigcap F) = P(S) + P(F) - P(S\bigcup F) = 0.5 + 0.4 - 0.7 = 0.2

P(S\bigcap F) means Probability of students taking  both Spanish and French Language.

Also, P(S)' = 1 - P(S) = 1 - 0.5 = 0.5

         P(F)' = 1 - P(F) = 1 - 0.4 = 0.6

        P(S'\bigcap F') = 1 -  P(S\bigcup F) = 1 - 0.7 = 0.3

(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French is given by P(S/F);

  P(S/F) = \frac{P(S\bigcap F)}{P(F)} = \frac{0.2}{0.4} = 0.5

(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish is given by P(F'/S');

   P(F'/S') = \frac{P(S'\bigcap F')}{P(S')} = \frac{1- P(S\bigcup F)}{1-P(S)} = \frac{0.3}{0.5} = 0.6 .

Note: 2. A pair of fair dice is rolled until a sum of either 5 or 7 appears  ; This question is incomplete please provide with complete detail.

7 0
3 years ago
Given a quadrilateral with vertices ????(0, 5), ????(6, 5), ????(4, 0), and H(−2, 0):
tankabanditka [31]

cant help when you put question marks!

please do this better!

8 0
3 years ago
Titus drew a circle with his compass. The circle has five central angles. Four of the angles measure 55°, 37°, 96°, and 88°. Wha
Fiesta28 [93]

Answer:

84°

Step-by-step explanation:

The circle has five central angles that together equal to 360°.

55° + 37° + 96° + 88° = 276°

Hence, to find the fifth central angle, we have to subtract 276° from 360°.

360° - 276° = 84°

The degree measure of the last central angle is 84°.

Hope this helps! :)

3 0
2 years ago
Read 2 more answers
AC = <br> Round your answer to the nearest hundredth.
dusya [7]

Answer:

AC ≈ 5.03

Step-by-step explanation:

We can solve the problem above using the trigonometric ratio, they are;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ= adjacent/ hypotenuse

tan Ф = opposite / adjacent

From the diagram above, in reference to angle B;

opposite =AC     and   adjacent =BC

Since we have opposite and adjacent, the best formula to use is

tanФ = opposite / adjacent

tan B = AC  / BC

tan 40 =  AC/ 6

Multiply both-side of the equation by 6

6× tan 40   =  AC/ 6  ×  6

At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC

6×tan 40 = AC

5.034598  = AC

AC ≈ 5.03   to the nearest hundredths

4 0
3 years ago
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