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meriva
3 years ago
5

If you is 8 , what is the value of x?

Mathematics
1 answer:
aev [14]3 years ago
6 0
What is the equation???

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Calculate S58 for the arithmetic sequence {an}= {5/6n+1/3} If you could show me the steps that would be great. I keep following
Amanda [17]

Answer is 8671/6 which is the third choice

===================================

Work Shown:

Find the first term of the sequence by plugging in n = 1

a_n = (5/6)*n + 1/3

a_1 = (5/6)*1 + 1/3    replace n with 1

a_1 = 5/6 + 1/3

a_1 = 5/6 + 2/6

a_1 = 7/6

Repeat for n = 58 to get the 58th term

a_n = (5/6)*n + 1/3

a_58 = (5/6)*58 + 1/3    replace n with 58

a_58 = (5/6)*(58/1) + 1/3

a_58 = (5*58)/(6*1) + 1/3

a_58 = 290/6 + 1/3

a_58 = 145/3 + 1/3

a_58 = 146/3

Now we can use the s_n formula below with n = 58

s_n = (n/2)*(a_1 + a_n)

s_58 = (58/2)*(a_1 + a_58)    replace n with 58

s_58 = (58/2)*(7/6 + a_58)   replace a_1 with 7/6

s_58 = (58/2)*(7/6 + 146/3)   replace a_58 with 146/3

s_58 = (58/2)*(7/6 + 292/6)

s_58 = (58/2)*(299/6)

s_58 = (58*299)/(2*6)

s_58 = 17342/12

s_58 = 8671/6


5 0
3 years ago
Solve the proportion using equivalent ratios. Explain the steps you used to solve the proportion, and include the answer in your
NikAS [45]
10x=60
x=6
10/3=20/6
^^^^^^^^^^^^
7 0
3 years ago
Read 2 more answers
What is the difference between an equation with a variable and an inequality with a variable?
NeX [460]

Answer:

An equation is a statement that maintains the equal value of two mathematical expressions. If the statement is true for all variable values, it is called an identity. ... An equation shows the equality of two variables while an inequality shows the inequality of two variables

7 0
3 years ago
What is the LCM of 4,8,14?
Tamiku [17]
The LCM of 4,8,14 is 56

M of 4 are 4,8,12,16,20,24,28,32,36,40,44,48,52,56
M of 8 are 8,16,32,48,56,64
M of 14 are 14,28,42,56


I hope this helps you
5 0
3 years ago
Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans
goldfiish [28.3K]

Answer:

( 400-x)/3

Step-by-step explanation:

Total chocolate chips Savannah had = 400

Number of chocolate chips she saved for garnishing =x

Number of chocolate chips remain = 400-x

Number of brownie pans = 3

Chocolate chips were spread evenly in 3 pans,

Chocolate chips were in each pan of brownies =( 400-x)/3

5 0
3 years ago
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