Answer:
rate boat = 15 mph
rate current = 5 mph
explanation:
d = r * t
t = d/r
240 / (r_boat + current) = 12 Multiply both sides by r_boat + r_current.
240 = 12(r_boat + current)
240/ (r_boat - current) = 24 Multiply both sides by r_boat - r_current
240 = 24*(r_boat - current)
Since the distances are the same in both equations, you can equate the right side of each.
12 (r_boat + current) = 24(r_boat - current) Divide by 12
r_boat + current = 2 (r_boat - current) Remove the brackets.
r_boat + current = 2*r_boat - 2* current add 2 currents to both sides
r_boat + 3currents = 2*r_boat Subtract r_boat both sides
3 currents = r_boat.
240 = 12*(r_boat + current. Divide by 12
20 = r_boat + current Put 3 currents in for r_boat
20 = 3currents + 1 current Combine
20 = 4 currents Divide by 4
5 = current
The rate of the current = 5 miles / hour
3 currents = r_boat
3*5 = rate_boat
15 = rate of the boat
<span>if a trip from earth to mars, is 97/186=.52150
and
a trip from earth to venus is 0.2774(now we have to times it by 2 since its a roundtrip),
we get .5548
we can clearly see that .5548>.52150
So roundtrip venus</span>
First we have to work out everything inside the parentheses (according to PEMDAS):
9 × 2 = 18
4 - 2 = 2
Now, we can rewrite the expression:
4 + 18 ÷ 2 + 1
According to PEMDAS, we should complete the division in the middle first:
18 ÷ 2 = 9
Now we can rewrite the expression again:
4 + 9 + 1
And now it's as simple as just adding the three numbers together:
4 + 9 + 1 = 14
Your final answer is 14. :)
Answer:
y=4x+2
Step-by-step explanation:
To find the slope of a line, you would do y₂-y₁/x₂x₁
This would be 2-6/0-1...
So your answer would be -4/-1
After simplifying, your slope is 4.
To write this in slope-intercept form, that would be y=4x+2
