Five times the quantity s + 6 equals 3 times the quantity s - 2. What value of s makes this sentence true?

Answer:

HH, HT, TT, TH

Step-by-step explanation:

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Answer:

3.50

Step-by-step explanation:

First we take the 500 fee for purchasing pencils off of the total:

4700-500 = 4200

This means we pay 4200 for 1200 pencils; dividing this will tell us the amount per pencil, x:

4200/1200 = 42/12 = 21/6 = 7/2 = 3.5

Thus we pay 3.50 per pencil.

The value of X for any additional pencil is gotten as;

X = 3.5

We are told that base amount for pencils is TK. 500 and amount per pencil is TK. X.

This means formula for total cost for n number of pencils is;

C(n) = 500 + Xn

We are told that a customer pays TK. 4700 for 1200 pencils. Thus;

C(n) = TK. 4700

n = 1200 pencils

Therefore;

4700 = 500 + 1200X

1200X = 4700 - 500

1200X = 4200

X = 4200/1200

X = TK. 3.5 per pencil

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This problem can be solved through permutation in mathematics. Without repetition, with 10 possible digits (0-9), there are 10 choices for the first digit, 9 for the second, and 8 for the third. The total number of 3-digit codes is 10*9*8 = 720.

The subject of this question is combinations in mathematics. To solve it, you have to calculate the number of ways you can arrange 3 digits from 0-9 (10 digits), when each digit can only be used once.

This problem is a type of permutation (an ordering or arrangement of objects), specifically a permutation without repetition. With 10 possible digits (0-9), there are 10 choices you can make for the first digit. After the first digit is chosen, there are 9 digits left for the second place, and 8 digits left for the third place.

Therefore, the total number of possible 3 digit codes is calculated as follows: 10*9*8 = 720. Hence, "option B is the correct answer".

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The sum of the exterior angles of any polygon is 360 degrees, thus the difference between the sums of the exterior angles of a nonagon and a dodecagon is 0 degrees.

The question asks about the difference in the sum of the exterior angle measures of a nonagon and a dodecagon. The key concept here is that for any polygon, the sum of the exterior angles is always 360 degrees, regardless of the number of sides.

Therefore, the sum of the exterior angles of both a nonagon (9-sided polygon) and a dodecagon (12-sided polygon) would be 360 degrees each. Consequently, the difference in their sums would be 0 degrees.

Answer:

Saras Mean on her reading test is 78

Lee's Mean on his reading test is 79

Step-by-step explanation:

You add grades for Sara's test together and then you will divide by the= number of graded test there were and you will get 78.

You add Lee's Grades for the test together and divide by the number of graded test there were and you will get 79.

The mean of Sara's reading test scores is 78, and the mean of Lee's reading test scores is 79.

To find the mean (average) score of Sara's and Lee's reading tests, we need to add up all of the scores and then divide by the number of scores.

Let's start with Sara's scores:

Sara's scores: 98, 100, 65, 78, 98, 46, 100, 100, 45, and 50.

98 + 100 + 65 + 78 + 98 + 46 + 100 + 100 + 45 + 50 = 780

Mean of Sara’s scores = 780/10 ​=78

Now, let's calculate the mean for Lee's scores:

Lee's scores: 97, 67, 89, 99, 100, 45, 79, 89, 58, and 67.

97 + 67 + 89 + 99 + 100 + 45 + 79 + 89 + 58 + 67 = 790

Mean of Lee’s scores = 790/10 ​= 79

So, the mean of Sara's reading test scores is 78, and the mean of Lee's reading test scores is 79.

Answer:

a , c

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Your answer would be 10 3/8 miles

First girl, Deena danced with 6 boys.

Second girl, Chloe danced with 7 boys.

Third girl, Moira danced with 8 boys.

And so last girl, Anna danced with all boys, given is an arithmetic series as 6, 7, 8, ........, a+(n-1)d.

Let's assume number of girls are 'n'.

Last term of a.p. series would be number of boys = a+(n-1)d.

Here a=6 and d=1, so number of boys = 6+(n-1)*1 = 5+n.

Given there were 23 students.

So total students = number of girls + number of boys

23 = n + (5+n)

23 = 2n + 5

2n = 23-5 = 18

n = 9.

Hence, there were 9 girls and 14 boys.

Answer:

Step-by-step explanation:

We are given 2.54 cm = 1 in.

We need to convert 10 centimeters into inches.

We have 2.54 cm = 1 in.

On dividing both sides by 2.54, we get

[tex]\frac{2.54}{2.54}cm = \frac{1}{2.54} in[/tex]

1cm=[tex]\frac{1}{2.54}[/tex] in.

In order to find the number of inches in 10 centimeters, we need to multiply [tex]\frac{1}{2.54}[/tex] by 10.

On multiplying [tex]\frac{1}{2.54}[/tex] by 10, we get

=[tex]10\times \frac{1}{2.54}[/tex]=3.94.

Therefore,

10 centimeters is approximately equal to 3.94 inches when converted using the conversion factor of 1 inch equals 2.54 centimeters.

The student is asking for conversion of a length measurement from centimeters to inches. Given that 1 inch equals 2.54 centimeters, you can convert 10 centimeters to inches by dividing by the conversion factor. Here's the calculation:

Identify the conversion factor: 2.54 centimeters per inch.

Divide the number of centimeters by the conversion factor: 10 cm \/ 2.54 cm/in = approximately 3.94 inches.

Therefore, 10 centimeters is approximately equal to 3.94 inches when rounded to the nearest hundredth.