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Firlakuza [10]
3 years ago
10

Morgan makes and sells bread at a local market. Her

Mathematics
1 answer:
il63 [147K]3 years ago
7 0
0.80x-30=58 x=110 the answer
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What is the slope and y-intercept for x-axis, 1,2,3,4 and y-axis 11,7,3,-1
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36 is the slope hopefully it helps
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4 years ago
Y is inversely proportional to the cube of x. If Y = 3 when x = 2, find Y, when x is 3. Write a proportion. Solve for y. Show wo
Wittaler [7]
<span>"Y is inversely proportional to the cube of x" translates to Y = kx</span>³ where k is unknown constant. We need to solve for k.

So we have Y = 3 and x = 2. Plug in and we get 3 = k2³ = 8k

So k = 3/8

Now we can solve for Y when x = 3

Y = (3/8)3³ = (3/8)27 = 81 / 8

Final answer: 81 / 8
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4 years ago
Zoom in to view well <br> Thanks
Step2247 [10]

Answer:

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3 years ago
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A tank holds 300 gallons of water and 100 pounds of salt. A saline solution with concentration 1 lb salt/gal is added at a rate
Shkiper50 [21]

The amount of salt in the tank changes with rate according to

Q'(t)=\left(1\dfrac{\rm lb}{\rm gal}\right)\left(4\dfrac{\rm gal}{\rm min}\right)-\left(\dfrac{Q(t)}{300+(4-1)t}\dfrac{\rm lb}{\rm gal}\right)\left(1\dfrac{\rm gal}{\rm min}\right)

\implies Q'+\dfrac Q{300+3t}=4

which is a linear ODE in Q(t). Multiplying both sides by (300+3t)^{1/3} gives

(300+3t)^{1/3}Q'+(300+3t)^{-2/3}Q=4(300+3t)^{1/3}

so that the left side condenses into the derivative of a product,

\big((300+3t)^{1/3}Q\big)'=4(300+3t)^{1/3}

Integrate both sides and solve for Q(t) to get

(300+3t)^{1/3}Q=(300+3t)^{4/3}+C

\implies Q(t)=300+3t+C(300+3t)^{-1/3}

Given that Q(0)=100, we find

100=300+C\cdot300^{-1/3}\implies C=-200\cdot300^{1/3}

and we get the particular solution

Q(t)=300+3t-200\cdot300^{1/3}(300+3t)^{-1/3}

\boxed{Q(t)=300+3t-2\cdot100^{4/3}(100+t)^{-1/3}}

5 0
3 years ago
What is the solution to the following system of equations?
Fed [463]
Do it on a scientific calculator
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3 years ago
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