9514 1404 393
Answer:
an = 13 -5(n -1)
Step-by-step explanation:
The "take away 5" rule means the common difference between terms is d=-5. For first term a1=13, the n-th term is ...
an = a1 +d(n -1)
an = 13 -5(n -1)
Answer:
well the answer is 16 because 32÷2=16
Step-by-step explanation:
Area of a rectangle is Length*width
width is area÷length
Equations
Let the number of liters of 80% acid = x
Let the number of liters of 40% acid = y
x + y = 2
80%x + 40%y = 65% * 2
Step One
multiply the 2nd given by 100
(80/100)x + (40/100)y = (65/100)*2
80x + 40y = 2*65 = 130 (3)
Step Two
Multiply the first given equation by 80
80x + 80y = 160 (4)
Step Three
Subtract (4) - (3)
80x + 80y = 160
<u>80x + 40y = 130</u>
40y = 30 Divide by 40
y = 30/40
y = 3/4 = 0.75
What you have found is that out of 2 liters, 0.75 L must be the 40% acid.
Step Four
Find the 80% volume
x + y = 2
y = 0.75 L
x + 0.75 = 2
x = 2 - 0.75
x = 1.25 L
Answers
80% Volume = 1.25 L
40% Volume = 0.75 L
Answer:
k = 9
Step-by-step explanation:
Consider the pattern on the right side , that is
= k(k + 2) + 1 = k² + 2k + 1
Equating
k² + 2k + 1 = 100 ( subtract 100 from both sides )
k² + 2k - 99 = 0 ← in standard form
(k + 11)(k - 9) = 0 ← in factored form
Equate each factor to zero and solve for k
k + 11 = 0 ⇒ k = - 11
k - 9 = 0 ⇒ k = 9
But k > 0 , then k = 9
Answer:
B
Step-by-step explanation:
I think the answer is B but I could be wrong! I'm 98% confident in my answer though!
