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2 years ago

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the distance between two cities is 1440 miles is time rides his bike 9.6 miles per day how many days will it take for him to tra

vel this distance

2 answers:

GenaCL600 [577]2 years ago

6 0

Answer:

150

Step-by-step explanation:

elena-14-01-66 [18.8K]2 years ago

5 0

Answer:

150

Step-by-step explanation:

You would divide the distance (1440) by how much he would go each day (9.6) and the answer is the amount of days

1440÷9.6=150

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Express it in slope-intercept form.

motikmotik

Answer:

y = 1/4x - 4

Step-by-step explanation:

The slope is four points behind the origin, so we subtract -4 from the equation:

y = 1/4x - 4

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2 years ago

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if it is p miles from home to school how many round trips can be made if your car gets q miles per gallon of gasoline and there

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5 is less than or equal to (2q)/p

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2 years ago

A type is typically makes an error on one out of every 21 documents they complete if the typist can complete 120 documents an ho

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3 years ago

MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t

ioda

Answer:

We would have

$l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}$

where " l " is length, " w" is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

Surface area for a box with no top = $lw+2lh+2wh = 64$

where " l " is length, " w" is width and "h" is height.

Step 2.

Remember as well that

Volume of the box = $l*w*h$

Step 3

We can now use lagrange multipliers. Lets say,

$F(l,w,h) = lwh$

and

$g(l,w,h) = lw+2lh+2wh = 64$

By the lagrange multipliers method we know that

$\nabla F = \lambda \nabla g$

Step 4

Remember that

$\nabla F = (wh,lh,lw)$

and

$\nabla g = (w+2h,l+2h , 2w+2l)$

So basically you will have the system of equations

$wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)$

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

$lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)$

Then you would get

$l\lambda (w+2h) = w\lambda (l+2h) = h\lambda (2w+2l)$

You can get rid of $\lambda$ from these equations and you would get

$lw+2lh = lw+2wh = 2wh+2lh$

And from those equations you would get

$l = w =2h$

Now remember the original equation

$lw+2lh+2wh = 64$

If we plug in what we just got, we would have

$l^{2} + l^{2} + l^2 = 64 \\3l^{2} = 64 \\l = w = \frac{8\sqrt{3} }{3} \\h = \frac{8\sqrt{3} }{6}$

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3 years ago

If on a scale drawing 24 inches equals 10 ft. what does 1/8 inches equal

OLga [1]

Answer:

$\large\boxed{\large\boxed{(5/96)ft\approx 0.052ft}}$

Explanation:

1. Use the scale ratio to set a proportion with the unknown lenght.

$24inches/10ft=(1/8)inches/x$

2. To solve for x, use cross multiplication:

$24inches\times x=10ft\times(1/8)inches$

3. Divide both sides by 24inches:

$x=10ft\times(1/8)inches\times (1/24inches)$

4. Simplify:

$x=10ft/192=(5/96)ft\approx 0.052ft$

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3 years ago