Given:
t1 = 3.6 h
t2 = 4.5 h
x = speed of boat
y = speed of water
Required:
a) Expression of distance traveled with moving water with 3.6h
Expression of distance traveled with moving water with 4.5h
b) Solve for y
c) Percent of boat's speed is the water current
Solution:
Working formula: distance = velocity*time
a) For travelling downstream, we get the equation
d = (x +y)*3.6
For travelling upstream, we get the equation
d = (x-y)*4.5
b) Setting the distance as equal for travelling upstream or downstream, we arrive at the equation of
(x+y)*3.6 = (x-y)*4.5
3.6x + 3.6y = 4.5x - 4.5y
8.1y =0.9x
y = x/9
c) percentage = 1/9*100% = 11.1%
<em>ANSWERS: a) d = (x+y)*36; d = (x-y)*4.5
</em> <em>b) y = x/9
</em> <em>c) 11.1%</em>
Answer:
She can be a member for 8 months
Step-by-step explanation:
Let x be the number of months
30 + 10.5(x) = 114
30 + 10.5x = 114
10.5x = 114-30
10.5x = 84
x = 84/10.5
x = 8 mints
We are required to find an inequality which best represents the relationship between the number of hours gardening g and the total charge c
The inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g
At least means greater than or equal to (≥)
fixed charge = $15
charges per hour = $12
Total charge = c
Number of hours = g
The inequality:
<em>Total charge ≥ fixed charge + (charges per hour × Number of hours</em>
c ≥ 15 + (12 × g)
c ≥ 15 + (12g)
c ≥ 15 + 12g
Therefore, the inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g
Read more:
brainly.com/question/11067755
Answer:
Step-by-step explanation:
We need to write this equation in y=mx+b where m is the slope.
3y= -2x +9
y= -2/3 +9
So now that it is in the form of y=mx+b, we can find the slope. -2/3 is the slope of the equation. Hope that helps!
