Answer:
5/12
Step-by-step explanation:
5/9 x 3/4, Use the rule: a/b*c/d=ac/bd, so now it's 5*3/9*4=15/36=5/12.
Answer:
D
Step-by-step explanation:
The line y=x+4 is given in slope-intercept form (y=mx+b) where m is slope and b is the y-intercept.
Parallel lines have the same slope, so we know the line will have a slope of 1. To find the equation of the new line we can plug the slope and given point into the point-slope equation defined as y-k = m(x-h) given point (h,k).
y-5 = 1(x-6)
Now solve the equation for y.
The answer is: y = x - 1
None of the choices are correct.
The number of hours Nick took to reach the shopping mall in terms of r is ; 3.14 hours.
<h3>What is rate?</h3>
Rate is a measure of a quantity using another quantity as the basis.
Analysis:
speed travelling on foot = r
distance travelled on foot = 5 miles
time taken = 5/r
speed travelling on bicycle 80 percent faster than on foot is 1.8r
distance travelled on bicycle = 8 miles
time taken = 8/1.8r = 40/9r
total time taken to get to the mall = 5/r + 40/9r = 85/9r
speed while walking = 3 miles per hour = r
time taken = 85/9 x 3 = 3.14 hours
In conclusion, number of hours Nick took to reach the shopping mall in terms of r is 85/9r is 3.14 hours.
Learn more about Time to reach a distance : brainly.com/question/17146782
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vans = v, buses = b, students = s
8v + 8b =312s ...eqn 1
9v + 4b = 196s ...eqn 2
divide eqn 1 by 2
4v + 4b = 156s ...eqn 3
eqn 2 - eqn 3
5v = 40s
v = 8s
subst v = 8s in eqn 2
72s + 4b = 196 s
b = 31s
answer
each van holds 8 students and each bus holds 31 students
