Answer:
5mph
Step-by-step explanation:
Let speed of boat in still water is s.
Distance proportional to speed
90/10 = (s+ 4)/(s - 4)
=> 9s - 36 = s + 4
=> 8s = 40
=> s= 5 mph
:-)
Answer:
I don't think this is a real math equation.
Step-by-step explanation:
Answer:
35 glasses of classic milk tea
15 glasses of flavored milk tea
Step-by-step explanation:
You sold 50 glasses of classic and flavored milk tea.
c + f = 50
You made 4700 when classic tea costs 100 and flavored tea costs 80.
100c + 80f = 4700
Use this system of equation to solve. Use substitution. Rearrange the first equation so that it is equal to c. Then, plug the c-value into the second equation.
c + f = 50
c = 50 - f
100c + 80f = 4700
100(50 - f) + 80f = 4700
5000 - 100f + 80f = 4700
5000 - 20f = 4700
-20f = -300
f = 15
Plug the f-value into one of the equations and solve for c.
c + f = 50
c + 15 = 50
c = 35
35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.
Answer:
Step-by-step explanation:
<u>Given</u>:
- d = 32 miles
- t = 2 1/3 hr = 7/3 hr
<u>Find the rate s:</u>
- s = d/t
- s = 32÷7/3 = 32 × 3/7 = 96/7 ≈ 13.7 mph (rounded)
Answer:
- using the rule given: 2.5
- using an exponential rule: 7
Step-by-step explanation:
Evaluating the linear rule given, for n = 1, we have ...
a1 = 7(1/2)(1) -1 = 7/2 -1 = 5/2 = 2.5
_____
We suspect you may intend the exponential function ...
an = 7(1/2)^(n-1)
Then, for n = 1, we have ...
a1 = 7(1/2)^(1 -1) = 7(1) = 7 . . . . the first term is 7
_____
When writing an exponential expression in plain text, it requires the exponential operator, a caret (^). If the exponent contains any arithmetic, as this one does, it must be enclosed in parentheses.
