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bogdanovich [222]
3 years ago
6

Could someone explain 21 = -7n please?

Mathematics
1 answer:
Roman55 [17]3 years ago
3 0

Answer:

n = -3

Step-by-step explanation:

The question is asking you to solve for your variable N. To do so, you must use difference operation(s) and their respective principle of equality to isolate the variable.

To get n by itself on one side of the variable, the term -7n by -7. What you do to one side of the equal sign, you must also do to the other due to the division principle of equality. Thus, you also divide 21 by -7.

\frac{21}{-7} = \frac{-7n}{-7}

Once you simplify, you are left with -3 = n or n = -3, which is your answer.

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Find the sum of the first 20 terms of an arithmetic sequence with an 18th term of 8.1 and a common difference of 0.25.
il63 [147K]

The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Given,

18th term of an arithmetic sequence = 8.1

Common difference = d = 0.25.

<h3>What is an arithmetic sequence?</h3>

The sequence in which the difference between the consecutive term is constant.

The nth term is denoted by:

a_n = a + ( n - 1 ) d

The sum of an arithmetic sequence:

S_n = n/2 [ 2a + ( n - 1 ) d ]

Find the 18th term of the sequence.

18th term = 8.1

d = 0.25

8.1 = a + ( 18 - 1 ) 0.25

8.1 = a + 17 x 0.25

8.1 = a + 4.25

a = 8.1 - 4.25

a = 3.85

Find the sum of 20 terms.

S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]

         = 10 [ 7.7 + 19 x 0.25 ]

         = 10 [ 7.7 + 4.75 ]

         = 10 x 12.45

         = 124.5

Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Learn more about arithmetic sequence here:

brainly.com/question/25749583

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8 0
1 year ago
Suppose Casey Title Company normally charges $300 for services related to selling a house. As part of a summer special, Casey of
g100num [7]

Given :

Casey's company charges , C = $300.

In summer special, Casey offers customers a trade discount of 25%.

To Find :

Charges during summer.

Solution :

Let, x is the amount of charges they take during summer.

Casey offers customers a trade discount of 25%.

x =300(1-\dfrac{25}{100})\\\\x=300(1 - 0.25)\\\\x=300(0.75)\\\\x=\$225

Therefore, amount of charges during summers are $225.

Hence, this is the required solution.

8 0
3 years ago
The distance between Daytona Beach and Tallahassee is about 143,000 m. How many kilometers is this?
worty [1.4K]

Answer:

There are 212.89 miles from Tallahassee to Daytona Beach in southeast direction and 251 miles (403.95 kilometers) .

4 0
3 years ago
What is the exact value of x? 5⋅21^5x=16
IRINA_888 [86]

Answer:

x=  16 /20420505

Step-by-step explanation:

Let's solve your equation step-by-step.

5(215)x=16

Step 1: Simplify both sides of the equation.

20420505x=16

Step 2: Divide both sides by 20420505.

20420505x /20420505  =  16 /20420505

x=  16 /20420505

4 0
3 years ago
A the zoo, the zookeeper make 4,000 pounds of ice. The zookeeper can make 400 pounds per day. How many days will it take to make
Nataliya [291]

Answer:

10 days.

Step-by-step explanation:

to find what you multiply from 400 to get to 4000, you divide 4000 by 400, which is 10, plug that in, 400 pounds x 10 days = 4000 pounds.

6 0
2 years ago
Read 2 more answers
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