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3 years ago

13

Harry and Gwen ride in a bicycle race. Harry clocks 102.62 meters per minute, and Gwen clocks 101.94 meters per minute. What is

the difference in their cycling speeds?

1 answer:

viva [34]3 years ago

8 0

The difference in their cycling speeds is 0.68 meters per minute.

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2 gallons divided by 7 people

kumpel [21]

2gallons/7people. This is the answer

5 0

3 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

3 years ago

What's the next step needed to simplify 6(12)-6(5) using the distributive property

Andrej [43]

Distribution is multiplying. So
6(12)-6(5)
72-30
42

3 0

3 years ago

Can some one help with Literal equations?

miss Akunina [59]

Look up Mathpapa.com

It can help with that no problem

8 0

3 years ago

Read 2 more answers

Jim drank 2/3 of his water bottle and John drank 3/10 of his water bottle how much water did both the boys drink ?

Likurg_2 [28]

Answer:

29/30

Step-by-step explanation:

first, we must make sure they have the same denominator!

2/3 x 10/10 = 20/30

3/10 x 3/3 = 9/30

20/30 + 9/30 = 29/30

4 0

3 years ago