The total number of the bags sold by the shopkeeper will be 65532.
<h3>What is number series?</h3>
The sequence formed by using the numbers is termed as the number series.So in this question from day one to day seven each day the sold items are multiplied by 4.
So the mathematical expression will be given as:
![=(12\times 4^0)+(12\times 4^1)+(12\times 4^2)+(12\times 4^3)+(12\times 4^4)+(12\times 4^5)+(12\times 4^6)](https://tex.z-dn.net/?f=%3D%2812%5Ctimes%204%5E0%29%2B%2812%5Ctimes%204%5E1%29%2B%2812%5Ctimes%204%5E2%29%2B%2812%5Ctimes%204%5E3%29%2B%2812%5Ctimes%204%5E4%29%2B%2812%5Ctimes%204%5E5%29%2B%2812%5Ctimes%204%5E6%29)
![=12+48+192+768+3072+12288+49152\\\\=65532](https://tex.z-dn.net/?f=%3D12%2B48%2B192%2B768%2B3072%2B12288%2B49152%5C%5C%5C%5C%3D65532)
Hence the total number of the bags sold by the shopkeeper will be 65532.
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Answer:
y = -(2/3)m - 2
Step-by-step explanation:
recall that the general equation of a straight line in slope-intercept form is
y = mx + b
where, m is the slope and b is the y - intercept
here we are given that the y - intercept is -2, hence the equation becomes:
y = mx + (-2)
or
y = mx -2
we are also given that the x-intercept is -3, which means that when y = 0, x = -3 (simply substitute this into our new equation to solve for m)
0 = m(-3) -2
0 = -3m - 2 (add 3m to both sides)
3m = -2 (divide both sides by 3)
m = -(2/3)
hence our equation is now
y = -(2/3)m - 2
A: you need to know how many cars you wash an hour. A reasonable amount would be five cars an hour making the equation 24•5=120$
B: you need to know how much the baking molds cost, a reasonable amount would be 7.50, the equation would be 7.50•5=37.5
Hope this helps
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Answer: If two pair is parallel then it has no solution.
Step-by-step explanation:
Since we have given that
Let the number of gained yards by each player be y
For the case of Brayden:
Equation will be
![y=5x-1\\\\y-5x=-1](https://tex.z-dn.net/?f=y%3D5x-1%5C%5C%5C%5Cy-5x%3D-1)
For the case of Howard :
Equation will be
![y=5x+1\\\\y-5x=1](https://tex.z-dn.net/?f=y%3D5x%2B1%5C%5C%5C%5Cy-5x%3D1)
For the case of Vincent :
![y=4x+5\\\\y-4x=5](https://tex.z-dn.net/?f=y%3D4x%2B5%5C%5C%5C%5Cy-4x%3D5)
Since First two equations are parallel so it has no solution.
Reason:
![y-5x=1\\\\y-5x=-1\\\\\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\\\\\frac{1}{1}=\frac{5}{5}\neq \frac{1}{-1}](https://tex.z-dn.net/?f=y-5x%3D1%5C%5C%5C%5Cy-5x%3D-1%5C%5C%5C%5C%5Cfrac%7Ba_1%7D%7Ba_2%7D%3D%5Cfrac%7Bb_1%7D%7Bb_2%7D%3D%5Cfrac%7Bc_1%7D%7Bc_2%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7B1%7D%3D%5Cfrac%7B5%7D%7B5%7D%5Cneq%20%5Cfrac%7B1%7D%7B-1%7D)
Hence, if two pair is parallel then it has no solution.