Answer:
60 miles per hour
Since d=rt, r = d/t = 420 miles/7 hours = 60 miles per hour
Step-by-step explanation:
Answer:
1.6 miles per hour
Step-by-step explanation:
Step one:
The unit rate is the number of miles in 1 hour
given
distance= 4 miles
time= 2.5 hours
so if he hike 4 miles in 2.5 hours
then he will hike x mile in 1 hour
cross multiply we have
x=4/2.5
x=1.6 miles per hours
Therefore the unit rate is 1.6 miles per hour
x+y = 90
x=2y+9
2y+9+y=90
3y=81
y= 27 Emily's age
x= 2*27+9 = 63 Matt's age
Answer:
A
Step-by-step explanation:
We can calculate the equation of the lines based on two points. First line m:
y = ax +b
where a is the slope and b is the y-intercept. To find the slope we use the x and y of the points as:
a =
So:
y = 6x + b
we can find the y intercept by substituting the x and y for one of the points:
solving for b:
b=-32-(6)(-4)= -8.
So the equation is:
y = 6x - 8.
We can change it to:
y + 8 = 6x
8 = 6x - y.
So it’s (A).
Hope that helps!
Answer:
The Axis of symmetry shows the highest point on the line and is a vertical line at the highest point on the graph x=1.5, y=36
Step-by-step explanation:
checked on a graphing calculator
Answer:
<em>8 more men are needed to complete the job</em>
Step-by-step explanation:
<u>Proportions</u>
This problem can be solved by step-by-step reasoning applying proportions:
- 16 men working 9 hrs a day complete the job in 14 days
- 16 men working 1 hr a day complete the job in 14*9 days
The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.
- 1 man working 1 hr a day complete the job in 14*9*16 days
The same reasoning applies here, fewer men=more days.
Now for the second condition. Increase the hours/day:
- 1 man working 7 hrs a day complete the job in 14*9*16/7 days
More hours/day=less days to complete the job
- x men working 7 hrs a day complete the job in 14*9*16/(7*x) days
We know this last time is 12 days, thus:
Solving for x:
24 men are needed now, this is an increase of 24-16=8 more men
8 more men are needed to complete the job