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3 years ago

What is the simple rational expression for 10b + 100 ________ b + 10

Mathematics

2 answers:

PtichkaEL [24]3 years ago

4 0

Answer:

10 ( b+10)

Step-by-step explanation:

10 b + 100

Factor out a 10

10 * b + 10 * 10

10 ( b+ 10)

hope it helps !!!!

Alexandra [31]3 years ago

3 0

Answer:

10b + 100 _= 10(b + 10)

Step-by-step explanation:

find common factor for 10b and 100 and put it in front of ( )

divide each term by 10 and put answer inside ( )

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Apply the distributive property to factor out the greatest common factor. 12+80=12+80

Ludmilka [50]

Answer: 92

Step-by-step explanation:

So 12 +80 = 4(3 + 20) = 92

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3 years ago

-8 x+3=-29 what is x?

kykrilka [37]

Answer:

x=4

Step-by-step explanation:

To solve for x, use inverse operations:

-8x+3 = -29 Subtract 3 from both sides

-8x +3 -3 = -29 -3

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4 years ago

Is 5/8 more than 11/20

alexdok [17]

5/8 is more than 11/20

If we find the lower common multiple of the denominators which is 160 then we can multiply the top numerators by the opposite denominators

5x20=100
11x8=88

We now have
$\frac{100}{160} and \frac{88}{160}$

The one on the left is simplified to 5/8 and the right is simplified to 11/20

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3 years ago

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A closed box with a square base is to have a volume of 13 comma 500 cm cubed. The material for the top and bottom of the box cos

andrezito [222]

Answer:

x = 1,5 cm

h = 6 cm

C(min) = 135 $

Step-by-step explanation:

Volume of the box is :

V(b) = 13,5 cm³

Aea of the top is equal to area of the base,

Let call " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h (where h is the high of the box)

And volume of the box is 13,5 cm³ = x²*h

Then h = 13,5/x²

Side area is : A₂ = x* 13,5/x²

A(b) = A₁ + A₂

Total area of the box as functon of x is:

A(x) = 2*x² + 4* 13,5 / x

And finally cost of the box is

C(x) = 10*2*x² + 2.50*4*13.5/x

C(x) = 20*x² + 135/x

Taking derivatives on both sides of the equation:

C´(x) = 40*x - 135*/x²

C´(x) = 0 ⇒ 40*x - 135*/x² = 0 ⇒ 40*x³ = 135

x³ = 3.375

x = 1,5 cm

And h = 13,5/x² ⇒ h = 13,5/ (1,5)²

h = 6 cm

C(min) = 20*x² + 135/x

C(min) = 45 + 90

C(min) = 135 $

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3 years ago

The millers house is 25 yards from mrs shapiro’s Haus how many feet apart are the two houses

maw [93]

Answer: 75 feet

3 Feet = 1 Yard

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3 years ago

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