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LUCKY_DIMON [66]
3 years ago
12

Marcus can walk 1 mile to the library in about the same time he can bicycle 2.5 miles to the sporting good store. His speed on t

he bicycle is 6 mi/h faster than his walking speed What is Marcus's walking speed?
Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer: Marcus's walking speed is 4 mph

Step-by-step explanation:

Let x represent Marcus's walking speed.

His speed on the bicycle is 6 mi/h faster than his walking speed. This means that his speed on the bicycle would be

x + 6

Time = distance/speed

Time spent by Marcus in walking 1 mile to the library is

1/x

Time spent by Marcus in bicycling 2.5 miles to the sporting good store is

2.5/(x + 6)

Since the time that he spends in walking to the library is about the same time that he spends in bicycling to the sporting good store, then

1/x = 2.5/(x + 6)

Cross multiplying, it becomes

1 × (x + 6) = 2.5 × x

x + 6 = 2.5x

2.5x - x = 6

1.5x = 6

x = 6/1.5 = 4

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Johnny must learn more than 10 New Pl. Before the big game you're already learned for writing and recording that represents how
Ghella [55]

Question is Incomplete; Complete question is given below;

Johnny must learn more than 10 new plays before the big game. He has already learned 4. Write and solve the inequality that represents how many more plays he needs to learn to reach his goal?

Answer:

The Inequality representing the more plays he needs to learn to reach his goal is x+4>10.

Johnny should learn more than 6 games to reach his goals.

Step-by-step explanation:

Given:

Number of plays to be learn > 10

Number of plays already learned = 4

we need to write an inequality that represents how many more plays he needs to learn to reach his goal.

Solution:

Let the number of plays needed to learn more be 'x'.

So we can say that;

Number of plays already learned plus number of plays needed to learn more should be greater than total Number of plays to be learn.

framing in equation form we get;

x+4>10

Hence the Inequality representing the more plays he needs to learn to reach his goal is x+4>10.

On solving the equality we get;

Subtracting both side by 4 we get;

x+4-4>10-4\\\\x>6

Hence Johnny should learn more than 6 games to reach his goals.

6 0
4 years ago
Find the Area of the Shaded Region.
user100 [1]

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7 0
3 years ago
Winslow buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Winslow pay for the ban
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Answer:

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Read 2 more answers
Use logarithmic differentiation to find the derivative of the function. y = sqrt(x)e^x^2(x^2 + 5)^12
padilas [110]

y=\sqrt x\,e^{x^2}(x^2+5)^{12}=x^{1/2}e^{x^2}(x^2+5)^{1/2}

Take the logarithm of both sides and expand the right hand side:

\ln y=\ln\left(x^{1/2}e^{x^2}(x^2+5)^{1/2}\right)

\ln y=\ln x^{1/2}+\ln e^{x^2}+\ln(x^2+5)^{12}

\ln y=\dfrac12\ln x+x^2\ln e+12\ln(x^2+5)

\ln y=\dfrac12\ln x+x^2+12\ln(x^2+5)

Now take the derivative of both sides with respect to x:

\dfrac1y\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}

\dfrac{\mathrm dy}{\mathrm dx}=\left(\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}\right)y

\dfrac{\mathrm dy}{\mathrm dx}=\left(\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}\right)\sqrt x\,e^{x^2}(x^2+5)^{12}

I'd stop there, but you could condense the right side a bit to get

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x^4+21x^2+48x+5}{2x(x^2+5)}\sqrt x\,e^{x^2}(x^2+5)^{12}

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x^4+21x^2+48x+5}{2\sqrt x}e^{x^2}(x^2+5)^{11}

8 0
4 years ago
Daniel earns a 7. 25% Commission on everything she sells at the electronics store where she works .she also earns a base salary
Verizon [17]
The answer is 1076.25
7 0
4 years ago
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