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faust18 [17]
3 years ago
5

What is 3x1/4 please help

Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0

Answer:

3/4

Step-by-step explanation:

3 1/4 is 3/4 i don't know how to explain just multiply

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What is the sum of the first 30 terms of the arithmetic series 27,32,37,42,47
AlladinOne [14]

Answer:

2985

Step-by-step explanation:

The formula for the sum of an arithmetic series is given by the formula:

S=\frac{k}{2}(a+x_k)

Where k is the number of terms, a is the first term, and x_k is the last term. In this case, the last term is the 30th term because we are finding the sum of the first 30 terms.

So, we need to find the 30th term. To do so, we can write an explicit formula for our sequence.

The standard form for an arithmetic sequence is given by the formula:

x_n=a+d(n-1)

Where a is the initial term and d is the common difference.

From our sequence, we can see that the initial term a is 27. The common difference is 5 because each term is 5 greater than the previous one.

So, our equation is:

x_n=27+5(n-1)

So, to find the 30th term, substitute 30 for n:

x_{30}=27+5(30-1)

Subtract:

x_{30}=27+5(29)

Multiply:

x_{30}=27+145

Add:

x_{30}=172

So, the 30th term is 172.

Now, substitute this into our original sum formula:

S=\frac{k}{2}(a+x_k)

Substitute 30 for k (the amount of terms), 27 for a (the first term), and 172 for x_k (the 30th and last term). So:

S=\frac{30}{2}(27+172)

Reduce and add:

S=15(199)

Multiply:

S=2985

So, the sum of the first 30 terms is 2985.

3 0
3 years ago
Help? <br> Solve 2x - 8 &lt; 7
Bezzdna [24]
<span>2x - 8 < 7
Add 8 to both sides
2x<15
Divide 2 on both sides
Final Answer: x<15/2 or 7 1/2 *Both answers are equivalent to each other.</span>
3 0
3 years ago
Read 2 more answers
The employees of a hardware store ordered lunch from a local delicatessen. The lunch consisted of 4 turkey sandwiches and 7 orde
AleksandrR [38]

Answer:

Charges of Turkey is $6.25

Charges of French Fries is $1.90

Step-by-step explanation:

Given

Represent Turkeys with T and French Fries with F;

4T + 7F = 38.3

5T + 5F = 40.75

Required

Determine the values of T and F

5T + 5F = 40.75

Divide through by 5

T + F = 8.15

Make F the subject

F = 8.15 - T

Substitute 8.15 - T for F in the first equation

4T + 7F = 38.3

4T + 7(8.15 - T) = 38.30

4T + 57.05 - 7T = 38.30

Collect Like Terms

4T  - 7T = 38.30 - 57.05

-3T = -18.75

Solve for T

T = -18.75/-3

T = 6.25

Recall that:

F = 8.15 - T

F = 8.15 - 6.25

F = 1.90

6 0
3 years ago
Congruen Figures lyures Which figure is congruent to the given figure? Will give brainliest ​
Elena L [17]

Answer: Its the rectangle thats going upwards not flat.

Step-by-step explanation:

5 0
3 years ago
Required information Section 01.02 Exercise 14 - Effects of changing data values on mean, median, and standard deviation There a
Nutka1998 [239]

Answer:

  • Mean will Increase .
  • Median remains unchanged.
  • Standard deviation will increase.

Step-by-step explanation:

We are given that there are 14 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

Now we have to analyse the Effect of this change in data values on mean, median, and standard deviation.

  • Mean will get affected because $1,000,000 is a very huge value as compared to $100,000 and is considered to be an outlier and we know that mean is affected by outliers as mean will change to $134285.7143 after replacing $100,000 with $1,000,000 .
  • Median will not get affected as median the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .
  • Standard Deviation will also get affected as due to outlier value in the data set the numerator value will increase very much and due to which standard deviation will also increase.
5 0
3 years ago
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