Assume that solution with 20% and 50% salt is x and y gallons respectively.
Therefore,
x+y = 300 => y=300-x
Additionally
20x+50y = 300*41 = 12300
Substituting for y
20x+50(300-x) = 12300 => 20x+15000-50x = 123000 => -30x = -2700
x= 90 gallons
y= 300-x = 300 - 90 =210 gallons
The formula of nth term is = 10 - 3n
What is AP?
- A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. Take the numbers 5, 7, 9, 11, 13, and 15 as an example. . . is a sequence of numbers having a common difference of two.
- The n-th term of the sequence is given by:, if the beginning term of an arithmetic progression is and the common difference between succeeding members is, then
- If the AP contains m phrases, then denotes the final term, which is given by:
- The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.
Acc to our question-
- For the nth term in an algebraic series
- U(n) = a + (n - 1)d
- the number of terms is n.
- The first term is a.
- d is the typical difference
- From the preceding sequence
- a = 7
- d = 4 - 7 = - 3
- The nth term's formula is
- U(n) = 7 + (n - 1)-3
- = 7 - 3n + 3
- The ultimate solution is
- = 10 - 3n
Hence,The formula of nth term is = 10 - 3n
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Answer:
$3.60
Step-by-step explanation:
Convert the percentage to a decimal.
2% = 0.02
Multiply the cost of the dress by the decimal to find the sales tax.
$180 × 0.02 = $3.60
The sales tax $3.60.
After 6 years, the hourly rate should be 34.69 (or something around that since you may want to round)
Answer:
You may not recognize this...but the base forms a "Pythagorean" right triangle with legs of 6 and 8 cm
The area of a right triangle is (1/2) ( product of leg lengths)
So...the area of the base = (1/2) (6 * 8 ) = (1/2) 48 = 24 cm^2
And the volume of the prism is just the base area x height = 24 x 7 = 192 cm^2
Step-by-step explanation: