Answer:
D.
d = 3t; 90 mi
Step-by-step explanation:
Bicycling A bicyclist traveled at a constant speed during a timed practice period. Write a proportion to find the distance the cyclist traveled in 30 min.
elapsed time distance
10 min 3 mi
25 min 7.5 mi
Graph it. :)
Start at (0,0), then at 10 min. on the x-axis, go 3 spaces up on the y-axis and plot a point. Do the same for 25 min. and 7.5 miles. Draw a line through all of those points, and see where the line hits on the y-axis when the x-axis is at 30 min. :)
If two things vary directly it means their ratio is a constant. Therefore from the formula rt=d. r=d/t, r=3/10 or 7.5/25 which reduces to 3/10. This is the constant speed,the lable is mi/min. Now use (d/30)=(3/10) and solve for d. Cross multiply and 10d=90, or d=9 mi
Answer:
6.63
Step-by-step explanation:
Cost of 11 oranges = 4.29
Cost of 1 orange = 4.29/11 = 0.39
Cost of 17 oranges = 0.39*17 = 6.63
We assume the probability on each side is equally probable with probability 1/5.
sum=4 has outcomes:{1,4; 2,3; 3,2; 4,1} 4 possible outcomes
sum=8 has outcomes:{3,5; 4,4; 5,3} 3 possible outcomes.
Total possible outcomes = 5*5=25
there probability of rolling a sum of 4 or 8, by the law of addition, equals
4/25+3/25=7/25
Note: a regular (i.e. fully symmetric) five-sided solid does not exist, so there has to be asymmetry among the probabilities of the five possible outcomes. In addition, it does not have a "top" face, so that makes rolling a five-sided solid a little more difficult to visualize.
Answer:
Step-by-step explanation:
Things to remember:
1). When we divide a number having decimal by 10, 100, 1000 or any number multiple of ten, decimal point of the numerator shifts left by the number of zeros present in denominator.
Example: 
2). When we multiply a decimal number by 10, 100, or any number number multiple of 10, decimal point of the original number shifts right by number of zeros present in multiplier.
Example: 2.0 × 100 = 200
In this question, 0.014 × 100000 = 1400.000
Therefore, product of 0.014 and 100000 is 1400 because the decimal point in 0.014 moves 5 places to the right.
