Answer:
10 days
Step-by-step explanation:
Jenny has read 50 pages and will read 15 each day.
The equation would be: 15x+50
Mark will read 20 pages daily.
The equation would be: 20x
In both equations x represents days.
You set both equal to each other because you want to know when they read the same amount of pages.
15x+50=20x
...you subtract 15x from both sides
50=5x
...and divide by five to get: 10 days
Answer:
3(4n+2)is equivalent to6(2n+1)
Answer:
a. Constant of proportionality, k = 1/45
b. hours/miles
c. t = d/45
Step-by-step explanation:
From the table given, we see that time (hours) increases as distance (miles) increases. We say that time, t varies directly as distance, d
And it is written mathematically as
t α d
t = kd..... (1)
to use the constant of proportionality, k to write a unit rate for the data in the table.
From equation (1), we make k subject of formula
k = t/d
t is in hours and d is in miles, so we can write that
k = hours/miles.
hours/miles is the unit rate for the data
when t = 2, d = 90.
We substitute these values for t = 2, d = 90 into the equation labelled (1)
t = kd
2 = k90
We divide both sides of the equation by the coefficient of k
2/90 = 90k/90
k = 1/45
k = 1/45 is the constant of proportionality.
We then substitute this value of k = 1/45 into equation (1)
t = kd
t = d/45
t = d/45 is the equation to represent the relationship between time t and distance d
I don't know if you have any other information, but it looks like the corner of the house is at the center of the circle, making 20 the radius. The dog can only ever be 20 feet away from the house. With the information given, that is all you can find.
