Answer:
<h2>15.3 gallons</h2><h2 />
Step-by-step explanation:
ratio and proportion
<u>420 miles </u> = <u> 357 miles</u>
18 gallons x gallons
420 (x) = 357 (18)
x = 6426 / 420
x = 15.3 gallons
Answer:
i believe 0.67 of a chance
Step-by-step explanation:
since there are two jobs and a chance that he won't get either that's three options. so the denominator is three (as a fraction). there are two jobs so the probability of James getting one of the two is 2/3. 2/3 as a decimal is 0.66666 and keeps going on and on forever. Rounded to the nearest hundredth, 0.666666 is 0.67.
Answer: ![y=\frac{1}{3}x+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx%2B3)
Step-by-step explanation:
The equation of the line is Slope-intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where "m" is the slope and "b" the y-intercept.
The slopes of perpendicular lines are negative reciprocal.
Then, if the slope of the first line is -3, the slope of the other line must be:
![m=\frac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D)
Substitute the point (3,4) into the equation and solve for b:
![4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3](https://tex.z-dn.net/?f=4%3D%5Cfrac%7B1%7D%7B3%7D%283%29%2Bb%5C%5C%204-1%3Db%5C%5Cb%3D3)
Then the equation of this line is:
![y=\frac{1}{3}x+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx%2B3)
Answer:
43,000: 4.3×10^4
0.0072: 7.2×10^-3
0.0000901: 9.01×10^-5
Step-by-step explanation:
scientific notation: a×10^b, where should be 0<a<10
Step 1. Count the zeros
Step 2. Look at the number left, and determine whether or not it fits in the range of [a]. If not, we divide or multiply 10 to get it fit
------------------------
43,000: 4.3×10^4 (since 43 does not fit, we divide by 10 to get it fit)
0.0072: 7.2×10^-3 (since 0.72 does not fit, we multiply 10 to get it fit)
0.0000901: 9.01×10^-5 (since 0.901 does not fit, we multiply 10 to get it fit)
Hope this helps!! :)
Please let me know if you have any question