Hello!
In order to find the cost of one pound of peanuts, we need to find 60% of two dollars. To do that, we convert 60% to a decimal, then multiply that to the cost of cashews, which is two dollars.
60 / 100 = 0.60
0.60 x $2.00 = $1.20
Therefore, the cost of one pound of peanuts is $1.20.
The cost of two pounds of peanuts can be found by multiply the cost of one pound of peanuts by two. Then, we add the cost of one pound of cashews, which is two dollars.
$1.20 · 2 = $2.40
$2.40 + $2.00 = $4.40
Therefore, the total cost of two pounds of peanuts and one pound of cashews is $4.40.
Question 1: $1.20
Question 2: $4.40
Answer:
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Step-by-step explanation:
If <em>a</em> is the first term of an AP with common difference -2, then the first several terms are
<em>a</em>, <em>a</em> - 2, <em>a</em> - 4, <em>a</em> - 6, <em>a</em> - 8, …
with <em>n</em>-th term <em>a</em> - 2 (<em>n</em> - 1).
The sum of the first <em>n</em> terms is equal to the sum of the first 3<em>n</em> terms :

We have

so that in the previous equation, the sums reduce to

Solve for <em>a</em> :

Now if <em>a</em> = 27, we have
27 = 4<em>n</em> - 1
28 = 4<em>n</em>
<em>n</em> = 7
as required.
Answer:
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Step-by-step explanation:
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Answer:
d) x = 3
Step-by-step explanation:
The given equation resolves to a quartic equation in (3^x). It has a solution near ...
x = 0.541770946714
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Perhaps you want the solution to ...
3^(x+9) = 81^(x)
Rewriting in powers of 3, this is ...
3^(x+9) = (3^4)^x = 3^(4x)
Taking logarithms base 3 gives ...
x +9 = 4x
9 = 3x . . . . . . subtract x
3 = x . . . . . . . divide by 3 . . . . matches choice D
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<em>Additional comment</em>
The Order of Operations requires that exponential terms be evaluated before addition and subtraction. That means (3^x) must be evaluated before the sum (3^x) + 9. If you want the sum of x and 9 to be evaluated first, it must be in parentheses: 3^(x+9).
In typeset equations, the superscript font serves to group parts of the exponent. In plain text, a grouping symbol (parentheses) must be used.