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kykrilka [37]
3 years ago
13

An arithmetic sequence has a first term of 6.3 and a second term of 8.8 Which term has a value of 78.8?

Mathematics
1 answer:
slega [8]3 years ago
4 0
First term [ a ] = 6.3

Common difference [ d ] = 8.8 - 6.3 = 2.5 

Using general term formula,

t_{n} = a + (n-1)d

78.8 = 6.3 + (n-1)*2.5

2.5*(n-1) = 72.5 [ Dividing both sides by 2.5 ]

n-1 = 29

n = 30

Hence, 78.8 is the 30th term in the arithmetic series.
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If 4x+7=12 what is the value of 8x+3
Valentin [98]

There is actually 2 ways to solve this, I will show you both.

The first is obvious, solve for x in the first one, and plug it into the 2nd one and get the answer

4x + 7 = 12

4x = 5

x = \frac{5}{4}

8(\frac{5}{4}) + 3

2 * 5 + 3

10 + 3

13

The 2nd option is to manipulate the 4x + 7 to be 8x + 3

4x + 7 = 12

start by moving the 7 over

4x = 5

multiply both sides by 2

8x = 10

and add 3 to both sides

8x + 3 = 13

7 0
3 years ago
Read 2 more answers
Find the sum of and 6/7 and 2/3 express your answer in lowest terms.
tensa zangetsu [6.8K]

Answer:

1 11/21

Step-by-step explanation:

6/7 + 2/3 = 32/21

32/21 simplified is 1 11/21

6 0
3 years ago
Write the equation of the line that is perpendicular to the line 3x + y = 7 and passes through the point (6, -1).
ira [324]
Line:
3x+y=7
y=-3x+7

Slope of Perpendicular Line: 1/3x

For the perpendicular line to contain point (6,-1) the y-intercept would be (0,1), thus the equation of the line would be y=1/3x+1

y=1/3x+1

5 0
3 years ago
What is the simple interest paid to $250,3.4,3 years
rjkz [21]
<span>I = Prt, where P is the principal, r is the annual </span>interest<span> rate in decimal form, and t is the loan period expressed in years.
</span>
First, Let us convert 3.4% into decimal form. <span>Move the decimal point two places to the left, adding in zeros as needed. 0.034</span>

Second, lets plug in our information.

250 * 0.034 * 3 = 25.50 

Your simple interest is: $25.50
6 0
3 years ago
−10x + 6(x − 5) = 12x − 62
tankabanditka [31]

Answer:

x=2

Step-by-step explanation:

So we have:

-10x+6(x-5)=12x-62

Distribute:

-10x+6x-30=12x-62

Combine like terms:

-4x-30=12x-62

Subtract 12x from both sides:

-16x-30=-62

Add 30 to both sides:

-16x=-32

Divide both sides by -16:

x=2

And that's our answer :)

5 0
3 years ago
Read 2 more answers
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