Answer:
1: 10 seconds 2: 4 seconds 3: 12 seconds
Step-by-step explanation:
35.0/3.5= 10
4.80/1.20= 4
60.0/5.00= 12
Answer:
2x + y = 15
Step-by-step explanation:
Total amount with Manuel = $15
Cost of apps = $2
Cost of song = $1
x = number of apps purchased
y = number of songs purchased
Cost of apps × number of apps purchased + Cost of song × number of songs purchased = Total amount with Manuel
2*x + 1*y = 15
2x + y = 15
The linear equation that represents the combination of apps and songs manuel can purchase is 2x + y = 15
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Hello!
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❖ There will be 16 girls.
The relationship is x4. If we multiply 3 x 4, we get 12. What we do to one number we do to the other so 4 x 4 = 16.
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡
~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ
Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of
(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min
and flows out at a rate of
(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min
Then the net flow rate is governed by the differential equation
Solve for S(t):
The left side is the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5Be%5E%7Bt%2F800%7DS%28t%29%5Cright%5D%3D%5Cdfrac8%7B100%7De%5E%7Bt%2F800%7D)
Integrate both sides:
There's no sugar in the water at the start, so (a) S(0) = 0, which gives
and so (b) the amount of sugar in the tank at time t is
As 
, the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.
