1. The equation that represents Layla's fees according to the information provided is: y= 2x+3, where:
y is the amount earned
x is the number of days
2. The equation that represents Sam's fees according to the information provided is: y= 3x, where:
y is the amount earned
x is the number of days
3. In the graph, you can see that there is a point in which the two lines intercept. In that point, both earn the same amount that is 9 and the number of days is 3. Also, you can find the answer doing the following:
2x+3= 3x
3= 3x-2x
x= 3
Layla and Sam will earn the same amount for dog sitting after 3 days.
-That amount is: $9.
2x+3= 2(3)+3= 9
3x= 3(3)= 9
Answer:
1. 
2. 9.6
3. 0
Step-by-step explanation:
Thales’ Theorem: If arms of an angle are cut by parallel straight lines, then the ratio of the lengths of the line segments obtained on one arm are equal to the corresponding segments obtained on the second arm.
1. By Thales's theorem,
![\dfrac{9}{4}=\dfrac{11-x}{x}\\ \\9x=4(11-x)\ [\text{Cross multiply}]\\ \\9x=44-4x\\ \\9x+4x=44\\ \\13x=44\\ \\x=\dfrac{44}{13}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B4%7D%3D%5Cdfrac%7B11-x%7D%7Bx%7D%5C%5C%20%5C%5C9x%3D4%2811-x%29%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C9x%3D44-4x%5C%5C%20%5C%5C9x%2B4x%3D44%5C%5C%20%5C%5C13x%3D44%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B44%7D%7B13%7D)
2. By Thales's theorem,
![\dfrac{8}{12}=\dfrac{x}{24-x}\\ \\12x=8(24-x)\ [\text{Cross multiply}]\\ \\12x=192-8x\\ \\12x+8x=192\\ \\20x=192\\ \\x=9.6](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B12%7D%3D%5Cdfrac%7Bx%7D%7B24-x%7D%5C%5C%20%5C%5C12x%3D8%2824-x%29%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C12x%3D192-8x%5C%5C%20%5C%5C12x%2B8x%3D192%5C%5C%20%5C%5C20x%3D192%5C%5C%20%5C%5Cx%3D9.6)
3. By Thales's theorem,
![\dfrac{4x}{5x}=\dfrac{4x-8}{6x-10}\\ \\\dfrac{4}{5}=\dfrac{4x-8}{6x-10}\\ \\5(4x-8)=4(6x-10)\ [\text{Cross multiply}]\\ \\20x-40=24x-40\\ \\20x=24x\\ \\4x=0\\ \\x=0](https://tex.z-dn.net/?f=%5Cdfrac%7B4x%7D%7B5x%7D%3D%5Cdfrac%7B4x-8%7D%7B6x-10%7D%5C%5C%20%5C%5C%5Cdfrac%7B4%7D%7B5%7D%3D%5Cdfrac%7B4x-8%7D%7B6x-10%7D%5C%5C%20%5C%5C5%284x-8%29%3D4%286x-10%29%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C20x-40%3D24x-40%5C%5C%20%5C%5C20x%3D24x%5C%5C%20%5C%5C4x%3D0%5C%5C%20%5C%5Cx%3D0)
The value 257.3 denotes the range of the middle 50% of all observations in the distribution.
Q1 = 271.8 ; Q2 = 387.9 ; Q3 = 529.1
The Interquartile range is the difference between the the upper quartile and Lower quartile ;
- IQR = 529.1 - 271.8 = 257.3
The value of Q3 depict the 75th percentile of the data
The value of Q1 depicts the 25th percentile of the data
The difference between (Q3 and Q1) ; is the (75th - 25th) = middle 50th percentile of the distribution.
Since the difference between the maximum and minimum value is the range, then 257.3 is the range of the middle 50% of all observations in the distribution.
Learn more :brainly.com/question/24582786
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Hello!
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❖ The number is 8/14.
To find the the number, multiply the numerator and denominator by 2:
4 x 2 = 8
7 x 2 = 14
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Answer:
3:4
Step-by-step explanation: