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katovenus [111]
3 years ago
9

WILL CHOOSE BRAINIEST How many 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by: a.)5 b.)6 c.

)12 d.)25
Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
6 0
D) 25 tell me if I did it righ
andrew11 [14]3 years ago
6 0

Answer:

<u>a) divisible by  5:  120 numbers</u>

<u>b) divisible by  6:    360 numbers</u>

<u>c) divisible by  12:     192 numbers</u>

<u>d) divisible by  25:    24 numbers</u>

Step-by-step explanation:

6-digit  numbers => the numbers have the form abcdef

a.) <u>divisible by  5</u>

f = {5}

a  <u>5 values</u>;   b  <u>4 values</u>, c  <u>3 values</u>,  d  <u>2 values</u> ,   e  <u>1 value</u><em>, </em>f <em> </em><u>1 value</u>

=> 5 * 4 * 3 * 2 * 1 * 1 =<u> 120 numbers</u>

b.)<u> divisible by  6</u>

f = {2; 4; 6}

a  <u>5 values</u>;   b  <u>4 values</u>, c  <u>3 values</u>,  d   <u>2 values</u>,   e <u>1 value</u>, f  <u>3 values</u>

=> 5 * 4 * 3 * 2 * 1 * 3 = <u>360 numbers</u>

c.)<u> divisible by  12</u>

<u>ef</u> =  {12; 16; 24; 32; 36; 52; 56; 64}

a  <u>4 values</u>;   b  <u>3 values</u>, c  <u>2 values</u>,  d   <u>1 value</u>,   <u>ef</u>  <u>8 values</u>

=> 4 * 3 * 2 * 1 * 8 =<u>192 numbers</u>

d.)<u> divisible by  25</u>

<u>ef</u> =  {25}

a  <u>4 values</u>;   b  3<u> values</u>, c  <u>2 values</u>,  d   1 values,   <u>ef</u>  <u>1 value</u>

=> 4 * 3 * 2 *1*1 = <u>24 numbers</u>

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28 1/2% covert the percent to a decimal
rewona [7]

Answer:

0.285

Step-by-step explanation:

To do this, divide 28 1/2% by 100%, obtaining:

28.5%

---------- = 0.285

100%

8 0
3 years ago
Given A = {x | x &lt; 1}, B = {x | x ≥ 5}, and C = {x | x = 5}, match the following items. 1. A B Ø 2. A C {x | x ≥ 5} 3. B C {x
ivann1987 [24]

Answer:

The matching is shown below.

Step-by-step explanation:

The given sets are defined as

A = {x | x < 1}

It means all the values of x which are less than 1.

B = {x | x ≥ 5}

It means all the values of x which are greater than or equal to 5.

C = {x | x = 5}

It means all the value of x is 5.

Union of two sets contains all the elements of both sets.

Intersection of two sets contains only common elements of both sets.

The matching is shown below.

        Sets                              Correct value

1.     A ∪ B                         {x | x < 1 or x ≥ 5}

2. A ∪ C                         {x | x < 1 or x = 5}

3. B ∪ C                         {x | x ≥ 5}

4. A ∩ B                         Ø

5. B ∩ C                         {x | x = 5}

6 0
3 years ago
what number, when added to the numerator and to the denominator of $\frac{5}{8}$, results in a fraction whose value is 0.4?
luda_lava [24]

The required number is -3 which when added to the numerator and to the denominator of 5/8 results in a fraction whose value is 0.4.

<h3>What is a fraction?</h3>

Fraction is the ratio of a particular part to the whole parts of an object. A fraction has a numerator and a denominator.

<h3>Calculation:</h3>

The given fraction is 5/8

Consider a number as 'x' which is added to both the numerator and the denominator of the given fraction.

So,

(5 + x)/(8 + x)

Since it is given that the result is 0.4 i.e., 4/10, we can write

(5 + x)/(8 + x) = 4/10

⇒ 10(5 + x) = 4(8 + x)

⇒ 50 + 10x = 32 + 4x

⇒ 10x - 4x = 32 - 50

⇒ 6x = -18

⇒ x = -18/6

∴ x = -3

Therefore, the required number is -3.

Check:

(5 + (-3))/(8 + (-3)) = (5 - 3)/(8 - 3) = 2/5 = 0.4

Learn more about fractions here:

brainly.com/question/17220365

#SPJ4

3 0
1 year ago
Solve the quadratic equation.<br>-7n^2=-448<br>​
Zolol [24]

Answer:

n = 8

Step-by-step explanation:

-7n² = -448

=> n² = -448 / -7

=> n² = 64

=> n = \sqrt{64}

=> n = 8

Hope it helps :)

Please mark my answer as the brainliest

5 0
2 years ago
What is 10% of $34.50​
ladessa [460]

Answer:

3.45

Step-by-step explanation:

3 0
2 years ago
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