Answer:
Step-by-step explanation:
the formula for an arithmetic sequence is
a, a+d,a+3d,a+3d etc, where d is the common difference
we have the terms -6, 13,23
first term is -6
-6+19=13
however, 13+10=23
this is not an arithmetic sequence
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
Answer:
A has a rate of change of -5 and is greater than Bs -4.5
Answer:
t/8 + t/7 = 1
Step-by-step explanation:
Given in the question that,
time require for Jose to paint the house = 7 hours
time require for Brandon to paint the house = 8 hours
Suppose t means Full house painted.
<h3>
To solve the question we have to figure out how much each of them can paint in ONE hour.</h3>
7 hours----t
1 hour ---- t/7
8 hours----t
1 hour ---- t/8
<h3>
Equation</h3>
t/8 + t/7 = 1 (in one hour)
(7t + 8t)/8(7) = 1
15t/56 = 1
15t = 56
t = 56/15
t = 3.73 hours
Answer: $53.84
Step-by-step explanation: 3500 divided buy 65