Answer:
32 miles
Step-by-step explanation:
Given data
Let the total distance be x miles
Marks speed= 16miles per hour
Trisha's speed= 12 miles per hour
Trisha has covered 8 miles and has (x-8) miles to finish line
We know that
Speed= distance/time
time= distance/speed
Hence the time taken for Mark to finish is
time= x/16---------------1
The time taken for Trisha to finish is
time= (x-8)/12-----------2
equate 1 and 2 above
x/16= (x-8)/12
cross multiply
16(x-8)= 12*x
16x-128= 12x
collect like terms
16x-12x= 128
4x=128
x= 128/4
x= 32 miles
Hence they will meet at exactly 32 miles along the way
Answer:
(A)12-19
Step-by-step explanation:
To construct a frequency distribution, we follow the steps below.
1. Find the largest and smallest values.
91 and 12 respectively
Compute the Range = Maximum - Minimum=91-12=79
2. Determine the number of classes desired.
In this case, we desire 10 classes
3. Next, we find the class width by dividing the range by the number of classes and rounding up.
79÷10 = 7.9
Rounded Up, Class Width=8
4. Pick a suitable starting point less than or equal to the minimum value.
Since our minimum value is 12, we pick a class starting with 12 and give a class width of 8.
Therefore the upper and lower limits of the first class is given as:
12-19.
Answer:
40 minutes to fill the crate
Step-by-step explanation:
200÷5=40
First let's find the factors of each number:
19: 1,19
21: 1,3,7,21
23: 1,23
25: 1,5,25
21 has 4 factors, 25 has 3 and 23 and 19 are both prime numbers (with two factors). 21 has the most factors.