A perfume manufacturer puts 16 fluid ounces in each bottle. How many gallons will fill 96 bottles?
1 answer:
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Answer:
see explanation
Step-by-step explanation:
The nth term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ is double a₇ , then
a₁ + 4d = 2(a₁ + 6d) , that is
a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )
4d = a₁ + 12d ( subtract 12d from both sides )
- 8d = a₁
The sum of n terms of an AP is
=
[ 2a₁ + (n - 1)d ] , substitute values
=
( 2(- 8d) + 16d)
= 8.5(- 16d + 16d)
= 8.5 × 0
= 0
Answer:
y = 2x + 60
Step-by-step explanation:
Use the equation for a line: y = mx + b
Where
x and y are points on the graph
and m is the slope, and can be found by finding
so the slope is 10/5 or 2, since the graph goes up by 10 and over by 5.
so plug into the equation, and you get y = 2x + b
Next, pick a point on the graph, and plug in the x and y coordinates,
for example:
(x,y) = (5,70)
so, 70 = 2(5) + b
then solve for b
60 = b
Then rewrite the equation
y = 2x + 60