Answer:
c.) 8/3
Step-by-step explanation:
the two sides must weigh the same, or 12 grams.
the weights labelled x combined with the 4 grams weight should equal 12 grams.
the equation solved for x would be:
3x + 4 = 12
3x = 8
x = 8/3
Answer:
1) 2 hours
2) 96 miles
Step-by-step explanation:
1) Eliot and William went hiking. They went at the same speed. Let x mph be their speed.
<u>Elliot:</u>
Distance = 8 miles
Speed = x mph
Time
hours
<u>William:</u>
Distance = 12 miles
Speed = x mph
Time
hours
It took Eliot
less than William, then
![\dfrac{8}{x}+\dfrac{2}{3}=\dfrac{12}{x}\\ \\\dfrac{2}{3}=\dfrac{12}{x}-\dfrac{8}{x}\\ \\\dfrac{2}{3}=\dfrac{4}{x}\\ \\2x=3\cdot 4\ \ [\text{Cross multiply}]\\ \\2x=12\\ \\x=6\ mph](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7Bx%7D%2B%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D-%5Cdfrac%7B8%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B4%7D%7Bx%7D%5C%5C%20%5C%5C2x%3D3%5Ccdot%204%5C%20%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C2x%3D12%5C%5C%20%5C%5Cx%3D6%5C%20mph)
So, William's hike was

hours long.
2) <u>Initially:</u>
Distance = 120 miles
Speed = 55 mph
Time
hours
<u>Final:</u>
Speed = 44 mph
Time
hours
Distance 
Answer:3/2
Step-by-step explanation:
6÷2=3
9÷3=2
Using the uniform distribution, we have that:
a) The density curve is given at the end of this question.
b) 16.67% of the time does a customer have to wait between 100 and 120 seconds.
-----------------
The uniform distribution has two bounds, a and b, and the probability of finding a value between c and d is given by:

- Uniform distribution on the interval of 0 to 120 seconds, thus
.
The proportion between 100 and 120 seconds is:

0.1667*100% = 16.67%
16.67% of the time does a customer have to wait between 100 and 120 seconds.
A similar problem is given at brainly.com/question/15855314
Answer: divide 150-0.20=149.8
Step-by-step explanation: