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Anastasy [175]
3 years ago
10

If m is a positive integer, what is the least value of m for which 225 is a factor of 120m? Please explain your answer

Mathematics
2 answers:
frutty [35]3 years ago
5 0

Answer:

C) 15

Step-by-step explanation:

120 times 15 equalls 1800

1800 divide by 225 equals 8

Dafna1 [17]3 years ago
3 0
The correct answer would be C) 15.
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If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many diff
Papessa [141]

Answer:

  (a)  1024 ways

  (b)  243 ways

Step-by-step explanation:

When answers are independent, the total number of ways all questions can be answered is the product of the number of ways each question can be answered.

__

<h3>(a)</h3>

The first question can have one answer 4 ways. The second question can be answered 4 ways for each of the ways the first question was answered. That is, the two questions can be answered 4×4 = 16 ways. Similarly, each additional question multiplies the number of ways the questions can be answered by 4.

The 5 questions can be answered 4×4×4×4×4 = 4^5 = 1024 ways.

__

<h3>(b)</h3>

There are 3 ways to answer the first question incorrectly. Each additional question can be answered incorrectly 3 ways for each of the ways previous questions were answered. The total number of ways all questions can be answered incorrectly is ...

  3^5 = 243

A student can answer all questions wrong in 243 different ways.

5 0
1 year ago
g An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown number of blue balls. A single b
Fed [463]

Answer:

Therefore the of blue in the second urn is 4.

Step-by-step explanation:

Let second urn contain x number of blue ball .

Urn            Red Ball          Blue Ball         Total Ball

1                       4                       6                      10

2                      16                       x                    16+x

Getting a red ball from first urn is P(R_1)=\frac{\textrm {Number of red ball}}{\textrm {Total ball}}    =\frac{4}{10}

Getting a blue ball from first urn is P(B_1)=\frac{\textrm {Number of blue ball}}{\textrm {Total ball}} =\frac {6}{10}

Getting a red ball from second urn is P(R_2)=\frac{\textrm {Number of red ball}}{\textrm {Total ball}}    =\frac{16}{16+x}

Getting a blue ball from second urn is P(B_2)=\frac{\textrm {Number of blue ball}}{\textrm {Total ball}} =\frac {x}{16+x}

Getting two red balls from first and second urn is =\frac{4}{10}\times \frac{16}{16+x}

                                                                                  =\frac{32}{5(16+x)}

Getting two blue balls from first and second urn is =\frac{6}{10}\times \frac{x}{16+x}

                                                                                  =\frac{3x}{5(16+x)}

The probability that both balls are the same in color is =\frac{32}{5(16+x)}+\frac{3x}{5(16+x)}

Given that the probability that both balls are the same in color is 0.44.

According to the problem,

\frac{32}{5(16+x)}+\frac{3x}{5(16+x)}=0.44

\Rightarrow \frac{32+3x}{5(16+x)} =0.44

\Rightarrow \frac {32+3x}{(80+5x)} =0.44

\Rightarrow 32+3x =0.44(80+5x)

\Rightarrow 32+3x =35.2 +2.2x

\Rightarrow 3x -2.2 x= 35.2 -32

\Rightarrow 0.8x= 3.2

\Rightarrow x = 4

Therefore the of blue in the second urn is 4.

               

5 0
3 years ago
Long division by single digit <br>​
Sauron [17]

Answer:

Here's an example of long division:

Step-by-step explanation:

Let's just do 48 divided by 6. First you have to multiply the 6 (the number we're dividing with) until it reaches the closest to 48 (6 x 8 = 48). Now you subtract 48 from 48, and you get zero. So 48 divided by 6 would be 0.

Hope this answers your question!

7 0
3 years ago
Match each fraction with its equivalent decimal number.
Oksana_A [137]
Changing a fraction to its decimal form can be done by long division method. Dividing the denominator by its numerator will change the fraction into decimal form. Alternatively, you can use a calculator to do that for you. Below are the fractions with their decimal forms listed:

1.) 2/5 = 0.4 (D)
2.) 7/20 = 0.35 (A)
3.) 3/25 = 0.12 (C)
4.) 7/10 = 0.7 (B)

6 0
3 years ago
If 4c-2=c then 12c= what ??
Nikolay [14]

Answer:

Maybe 0.6

Step-by-step explanation:

4 0
3 years ago
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