Green paper > 18 / 3 = 6 inch pieces
Red paper > 24 / 6 = 4 pieces of paper
total = 4 + 3 = 7 piece of paper in total :)
The equation between the number of days remaining and number of hours is given as y= -5x+50.
<h3>How to illustrate the equation?</h3>
Let y be the number of days remaining and x be the no.of hours.
From the graph the slope of the line is given by m.
m=(y2 - y1)/(x2 - x1)
m=(30 - 40)/(4 - 2)
m= -10/2 = -5.
The above slope is in between points 2 and 4. As the line has a constant rate of growth the slope is the same between any points of the line.
Therefore the equation between the no.of days remaining and no.of hours is given by
y=mx +c.
y=-5x+c
Now to find the value of c. This can be determined by substituting the x and y values at a particular instant. For x=0,y=50. Therefore by these values, we get,
50= -5(0)+c
c=50.
Therefore the relation between the number of days remaining and number of hours is given as y= -5x+50.
Learn more about equations on:
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Answer:
0.4394
Step-by-step explanation:
given that an auto parts store is examining how many items were purchased per transaction at the store as compared to their online website
The data is shown below:
Frequency Frequency*Midpt
Midpt Online Total Online Total
1-3 2 40 147 80 294
4-6 5 60 103 300 515
7-9 8 15 32 120 256
10-12 11 5 18 55 198
120 300 555 1263
Thus we find total items purchased on line = 555
and total items overall purchased = 1263
Hence the probability that a randomly selected item was purchased online
=![\frac{555}{1263} \\=0.4394](https://tex.z-dn.net/?f=%5Cfrac%7B555%7D%7B1263%7D%20%5C%5C%3D0.4394)
1a. Answer: ![\bold{\dfrac{6013}{1000}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cdfrac%7B6013%7D%7B1000%7D%7D)
<u>Step-by-step explanation:</u>
6.013 is 6 and 13 thousandths
![.\quad 6+\dfrac{13}{1000}\\\\\\=(6)\dfrac{1000}{1000}+\dfrac{13}{1000}\\\\\\=\dfrac{6000}{1000}+\dfrac{13}{1000}\\\\\\=\dfrac{6000+13}{1000}\\\\\\=\dfrac{6013}{1000}](https://tex.z-dn.net/?f=.%5Cquad%206%2B%5Cdfrac%7B13%7D%7B1000%7D%5C%5C%5C%5C%5C%5C%3D%286%29%5Cdfrac%7B1000%7D%7B1000%7D%2B%5Cdfrac%7B13%7D%7B1000%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6000%7D%7B1000%7D%2B%5Cdfrac%7B13%7D%7B1000%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6000%2B13%7D%7B1000%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B6013%7D%7B1000%7D)
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1b. Answer: x
<u>Step-by-step explanation:</u>
![(\sqrt{x^3})^{\dfrac{2}{3}}\\\\\\\text{Convert the radical into an an exponential expression:}\\ \bigg(x^{\dfrac{3}{2}}\bigg)^{\dfrac{2}{3}}\\\\\\\text{Apply the power rule of exponents (multiply the exponents):}\\(x)^{\dfrac{3\cdot 2}{2\cdot 3}}\\\\\\\text{Simplify the exponents:}\\x^1](https://tex.z-dn.net/?f=%28%5Csqrt%7Bx%5E3%7D%29%5E%7B%5Cdfrac%7B2%7D%7B3%7D%7D%5C%5C%5C%5C%5C%5C%5Ctext%7BConvert%20the%20radical%20into%20an%20an%20exponential%20expression%3A%7D%5C%5C%20%5Cbigg%28x%5E%7B%5Cdfrac%7B3%7D%7B2%7D%7D%5Cbigg%29%5E%7B%5Cdfrac%7B2%7D%7B3%7D%7D%5C%5C%5C%5C%5C%5C%5Ctext%7BApply%20the%20power%20rule%20of%20exponents%20%28multiply%20the%20exponents%29%3A%7D%5C%5C%28x%29%5E%7B%5Cdfrac%7B3%5Ccdot%202%7D%7B2%5Ccdot%203%7D%7D%5C%5C%5C%5C%5C%5C%5Ctext%7BSimplify%20the%20exponents%3A%7D%5C%5Cx%5E1)