This question involves direct proportion which has the formula (y=kx) where y and x are the values which are proportional and k is the constant of proportionality.
The constant of proportionality is basically the value that stays the same even if the x and y values change.
In this case, the constant of proportionality would be 3/7.
Answer:
<h2>A. -2y+5x/3x-2y</h2>
Step-by-step explanation:
Given the complex fraction;

First we will find the LCM of the numerator and the denominator as shown below;

Then we divide both equation by multiplying the numerator by the reciprocal of the denominator as shown;

This gives the required answer
If you're using a coordinate plane, I think it makes a trapezoid
You're looking for the volume of the prism. The dead giveaway there is that you're looking for "cubic" measurement. Cubic measures are indicators that the volume is being determined, just like "square feet" or inches, etc indicates area is being determined. The volume for this prism is found by multiplying the length times the width times the height. In decimal form, 45×30×40=54,000. But that is in cubic inches and we want cubic feet. So we will use dimensional analysis to convert that. Setting up the DA looks like this, keeping in mind that there are 12 cubic inches in 1 cubic foot:

. The label of cubic inches cancels out leaving us with cubic feet, and doing the division there gives us 54,000/(12*12*12) which is 31.25 cubic feet.
Answer:
- using the rule given: 2.5
- using an exponential rule: 7
Step-by-step explanation:
Evaluating the linear rule given, for n = 1, we have ...
a1 = 7(1/2)(1) -1 = 7/2 -1 = 5/2 = 2.5
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We suspect you may intend the exponential function ...
an = 7(1/2)^(n-1)
Then, for n = 1, we have ...
a1 = 7(1/2)^(1 -1) = 7(1) = 7 . . . . the first term is 7
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When writing an exponential expression in plain text, it requires the exponential operator, a caret (^). If the exponent contains any arithmetic, as this one does, it must be enclosed in parentheses.