Givens
<em><u>Slower car</u></em>
r = r
t = 12 hours
d = ?
<em><u>Faster car</u></em>
r = r + 20
t = 8 hours
d = ?
It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.
d = r * t
r * 12 hours = (r + 20)* 8 hours. Remove the brackets on the right
r*12 = 8r + 20*8
r*12 = 8*r + 160
r*12 - 8r = 8r - 8r + 160
4r = 160
r = 40 miles / hour
=================
Slower Ride determines the distance.
d = r*t
d = 40 * 12
d = 480
Check
Use the faster rate (r + 20) = 40 + 20 = 60 mph
60 * 8 = 480. Both distances work out to be the same.
3/4 = 0.75 in decimal inch
Karla wants to leave 0.75 inch in her signature.
4 -0.75 = 3.25 inch needed
0.25 = 1/4
3 and 1/4 inches is needed.
Answer:
Mean = 86
Median = 86
Mode = 93
Range = 20
Step-by-step explanation:
Mean is the average of a set of numbers. To find the average, you add all the numbers together and divide the product by how many numbers are in the set so:
93 + 86 + 93 + 85 + 73 = 430
430/5 = 86
Median is the middle of a set of numbers.
First put the numbers in order of smallest to biggest
73, 85, 86, 93, 93.
The middle number is 86 so the median is 86.
A mode or modes are numbers that appear most frequently in a number of sets. They’re can be multiple modes.
The most frequent number is 93 so the mode is 93
Range is the difference of the biggest number and the smallest number. The biggest is 93 and the smallest is 73.
93 - 73 = 20
The range is 20
The athlete trains for 95 min for 1 day
In 380 min he/she trains for 380 × 1/95 = 4days
