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3 years ago

If I traveled 32 miles in 45 minutes, how long will I travel in one hour at the same rate?

Mathematics

2 answers:

Bad White [126]3 years ago

5 0

Answer:

32 X 60 : 45 = 42,6

42,6 miles in 60 minute

1 hour= 60 minute

cross product:

miles: 32 | ?

------------|-----------

time: 45 | 60

Blababa [14]3 years ago

3 0

Answer:

42 2/3 miles

Step-by-step explanation:

We want write ratios to solve

We want the same units so change 1 hour to 60 minutes

32 miles x miles

----------------- = -----------------

45 minutes 60 minutes

Using cross products

32 * 60 = 45x

Divide each side by 45

1920/45 = 45x/45

42.6(repeating) = x

42 2/3 miles

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Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
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Since our function is A(L)=640L-2L², we get

a=-2
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plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

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2 years ago

What property would justify the following statement? If a = b and b = c, then a = c. Addition Property Reflexive Property Subtra

romanna [79]

Answer:

It would be the transitive property! If you look up "If a = b, and b = c, then a = c" you'd see the transitive property. I hope this helps!

6 0

3 years ago

(WILL GIVE BRAINLIEST IF CORRECT)

Alex

Answer:

C. 40

Step-by-step explanation:

20 + 4x = 180

subtract 20 from both sides

4x = 160

Divide both sides by

x = 40

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3 years ago

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Minchanka [31]

Answer:

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Step-by-step explanation:

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3 years ago

One litre of milk is poured into a cylindrical container of radius 10 cm. Calculate the depth of the milk in cm)to 2 dp. ( take

wel

Answer:

Depth=3.18cm

Step-by-step explanation:

V=πr2h

1LITRE=1000CM3

v=1000cm³

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3 years ago