How is the divisibility rule for 7 more complicated then the rules for 2,3,5 and 10?

Answers

Answer 1

Answer:

Divisibility rule of 2: All even numbers are divisible by 2 means no remainder will be left. For example- 4,6,10,18,26 etc

Divisibility rule of 3: A number is divisible by 3 if the sum of the digits is divisible by 3. For example- 15,54,213,699 etc

Divisibility rule of 5: A number is divisible by 5 if the number's last digit is either 0 or 5. For example- 40,85,255,3600,6510 etc

Divisibility rule of 10: The last digit must be zero. For example-100,450,2500,3010,5860 etc

Divisibility rule of 7: To know if a given number is divisible by 7, we will take the last digit of the number and double it. Then we will subtract the result from the rest of the number. If the resulting number is evenly divisible by 7, then the original number is also divisible by 7. For example: 2555, 5509,203, 287 etc

Lets check for 2555. double the last digit. 5 is doubled to 10. Then subtract 10 from 255 this gives 245. 245 is divisible by 7, so 2555 is divisible by 7.

this is the reason, divisibility rule of 7 is complicated as compared to other given number.

Option C is the correct answer.

Step-by-step explanation:

We need to find 25 x = 65

Dividing both sides by 25

We will get

$25x=65\n\n(25x)/(25)=(65)/(25)\n\nx=(13* 5)/(5* 5)\n\nx=(13)/(5)\n\nx=2.6\n\nx\approx 3$

Option C is the correct answer.

The calculated value of x in the equation 2/5x = 6/5 is (c) 3

How to calculate the value of x in the equation

From the question, we have the following parameters that can be used in our computation:

2/5x = 6/5

Divide through the equation by 2/5

So, we have the following representation

(2x/5)/(2/5) = (6/5)/(2/5)

Evaluate the quotient on the right hand side

(2x/5)/(2/5) = 3

Lastly, we have

x = 3

Hence, the value of x in the equtaion is x = 3

Answers

Answer:

11 ways

100 Pennies & 0 Dimes

90 Pennies & 1 Dimes

80 Pennies & 2 Dimes

70 Pennies & 3 Dimes

60 Pennies & 4 Dimes

50 Pennies & 5 Dimes

40 Pennies & 6 Dimes

30 Pennies & 7 Dimes

Step-by-step explanation:

Final answer:

There are 10 hundredths in one tenth. This can be understood by considering that a dime, representing one tenth of a dollar, is equivalent to 10 pennies, each penny representing one hundredth of a dollar.

Explanation:

In terms of decimals, one tenth is represented as 0.1 and a hundredth is represented as 0.01. Given this, there are 10 hundredths in one tenth (because 0.1 divided by 0.01 equals 10). To understand this using pennies and dimes, consider one dime (which represents one tenth of a dollar) and a penny (which represents one hundredth of a dollar). As there are 10 pennies in a dime, we can conclude that there are 10 hundredths in one tenth.

Learn more about Decimals here:

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How to round 45 grams to the nearest 10 grams

Answers

So,

We need to round 45g to the nearest 10g's.

Look at the number in the one's place. If the number is greater than or equal to 5, round up. If the number is less than 5, round down.

45g rounded to the nearest ten is 50g.

A car fits onto a golden rectangle with a length of 12 ft. What is the car's width? Write your answer in simplified radical form and rounded to the nearest tenth of a foot.

Answers

basically, it is when legnth is $(1+ √(5) )/(2)$ the width

legnth=12
legnth= $(1+ √(5) )/(2)$ times width

12= $(1+ √(5) )/(2)$ times width
multiply both sides by 2
24= $1+ √(5)$ times width
subtract 1
23=√5 times width
divide both sides by √5
23/(√5)=width
multiply by (√5)/(√5) to rationalize denomenator
$(23 √(5) )/(5)$ =width

aprox 10.28 so 10.3 ft

w= $(23 √(5) )/(5)$ ft or aprox 10.3ft

100 students take a course pass/fail. If they pass they get 4 points towards their GPA, if they fail they get 0. If 90 students pass, what is the mean and standard deviation (to 1 decimal) of the points earned?Mean: _______a0

Standard Deviation: _________a1

Answers

Given:
100 students:
pass = + 4
fail =+ 0

90 students passed: 90 * 4 = 360
10 students failed: 10 * 0 = 0

mean: 360 / 100 = 36

standard deviation:
36 - 4 = 32 ⇒ 32² = 1,024 * 90 = 92,160
36 - 0 = 36 ⇒ 36² = 1,296 * 10 = 12,960

92,160 + 12,960 = 105,120
105,120 / 100 = 1,051.20 ⇒ variance

Standard deviation = √1,051.20 = 32.42

How many 1-inch cubes do you need to fill a cube that has an edge length of 1 foot?