2x + 4 = 3x - 10
-2x and +10 to both sides
14 = x
the answer is x = 14
An= mth term.
an=a₁+(n-1)*d
a₁₂=41
a₁₅=140
a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d
a₁+11d=41 (1)
a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d
a₁+14d=140 (2)
With the equiations (1) and (2) build a system of equations
a₁+11d=41
a₁+14d=140
we solve it.
-(a₁+11d=41)
a₁+14d=140
--------------------
3d=99 ⇒d=99/3=33
a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322
an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n
an=-355+33n
To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
Answer: g = 1
Step-by-step explanation:
-3 + 5 + 6g = 11 - 3g
First, we need to combine like terms
-3 + 5 = 2
2 + 6g = 11 - 3g
Add 3g to each side
2 + 9g = 11
Subtract 2 from each side
9g = 9
Divide each side by 1
g = 1
From the calculation done below, it can be seen that the cost of one orange is 85 cents.
<h3>How do we determine the cost of a product?</h3>
The cost of one orange can be determined as follows:
One dime = 10 cents
2 dollars = 200 cents
Total amount given by Sue to the store clerk = One dime + 2 dollars = 10 cents + 200 cents = 210 cents
Cost of two oranges = Total amount given by Sue to the store clerk –
Change = 210 cents – 40 cents = 170 cents
Cost of one orange = Cost of two oranges / 2 = 170 cents / 2 = 85 cents
Learn more about cost here: brainly.com/question/14844899.
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Answer:
d=13.
Step-by-step explanation:
d=
From question statement, 
,
,
put above values in the distance formula,we obtain
d=
d=
d=
d=
d=13
