Given that:
a1=27, an=(an-1)+4
the second term will be:
a2=a1+4
a2=27+4=31
The explicit formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
a= first term
d=common difference
n=nth term
from the information given:
a=27
d=31-27=4
thus the explicit formula will be:
an=27+(n-1)4
an=27+4n-4
an=23+4n
Answer: an=23+4n
5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount of 45% copper and y represent the amount of 66% copper needed to make 42 pounds of a third alloy containing 66% copper. Hence:
x + y = 42 (1)
Also:
0.45x + 0.69y = 42(0.66) (2)
This gives:
x = 5.25, y = 36.75
5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper
Find out more on equation at: brainly.com/question/2972832
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Answer:
x = 3
Step-by-step explanation:
Let's solve your equation step-by-step.
5x + 11 = -3x +35
Add 3x to both sides.
5x + 11 + 3x = -3x + 35 + 3x
8x + 11 = 35
Subtract 11 from both sides.
8x + 11 - 11 = 35 - 11
8x = 24
Divide both sides by 8.
x = 3
So therefore, that is how you found your answer: x = 3
