Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)
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Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer: x = (2 b d)/3 + (-a - b c)
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Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
Given:
Selling Price: 12,543
Discount: 758
We simply deduct the discount from the original price to get the discounted selling price.
12,543 - 758 = 11,785
The new selling price of the boat is $11,785.
Discount of $758 is 6% of the Original selling price.
758 / 12,543 = 0.06
0.06 x 100% = 6%
Answer:
A Histogram is a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval "
Here we take a width of 2 units on the bar graph i.e. we consider the interval 0-2, 2-4, 4-6 and so on.
Now we arrange our table in these intervals with the help of the given quantities.
Step-by-step explanation:
Answer:
an=1*2.5^(n-1)
=2.5^(n-1)
Step-by-step explanation:
Complete question below:
What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
Solution
Point (1, 1), (2, 2.5), (3, 6.25).
a=1
ar=2.5
ar^2=6.25
From ar and ar^2
r=6.25/2.5
=2.5
r=2.5
an=ar^(n-1)
Therefore, the explicit formula is
an=1*2.5^(n-1)
=2.5^(n-1)
To simplify, you just condense all of the values with the same variable, based on the signs of those values.
In this example,
6y + 5z + 8y - 3z
is the same as
6y + 8y + 5z - 3z
which can be simplified to
14y + 2z
which is the answer to your question.
Hope that helped =)
