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3 years ago

8

Please help!! A scale on a hiking map shows at 3 inches represents 1.25 miles. What number of inches on the map represents 10 ac

tual miles?

1 answer:

Semenov [28]3 years ago

5 0

Answer:

24 miles

Step-by-step explanation:

Set up a proportion:

3 inches/1.25 miles = x inches/10 miles

Then cross multiply

30=1.25x

Divide 1.25 on both sides

x=24

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(X+3) (X-2) Standard form.<br><br> Please show steps.

Zolol [24]

Use distributive property:

$(x+3)(x-2)=(x)(x)+(x)(-2)+(3)(x)+(3)(-2)\\\\=x^2-2x+3x-6=x^2+x-6$

8 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

2 years ago

What is 2\3y plus y minus 4 equals 31

steposvetlana [31]

Hi

2/3 y+y-4=31

Simplify both sides of the equation

2/3 y-4=31

Combine like terms

(2/3 y+y)+(-4)=31

5/3 y-4=31

Add 4 to both sides

5/3 y-4+4=31+4

5/3 y=35

Multiply both sides 3/5

(3/5)*(5/3 y)=(3/5)*35

y=21

I hope that's help !

8 0

3 years ago

Read 2 more answers

Blababa [14]

Answer:

Poorly formated. Please fix the question so it is more understandable!

8 0

3 years ago

Select the correct answer. (Remember there will be a length, width and height and they are all different numbers).

Bogdan [553]

A) 122 in^2, this is because 3 x 7 x 2= 42, 4 x 7 x 2= 56, 3 x 4 x 2= 24, once you add up all the sums it equals 122

3 0

2 years ago

Read 2 more answers