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olga_2 [115]
4 years ago
7

What is the solution to the linear equation? –12 + 3b – 1 = –5 – b

Mathematics
2 answers:
PtichkaEL [24]4 years ago
8 0

Answer:

b=2

Step-by-step explanation:

-12 + 3b -1 = -5 - b

-13 + 3b = -5 - b

+13         = +13

_____________

3b = 8 - b

+b =     +b

_________

4b = 8

/4  =  /4  <---divide 8 by 4

_______________

b = 2

marysya [2.9K]4 years ago
4 0
-12+3b-1=-5-b
Combine like terms to get:
3b-13=-5-b
Add 13 to both sides:
3b= 8-b
Add b to both sides:
4b=8
Divide both sides by 4:
4b/4=8/4
b=2

Final answer
b=2
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They would each have to pay 1,500 dollars to purchased the house
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3 years ago
The length of a side of a square is 25cm find the area​
irinina [24]

Answer:

Area of square is 625 cm².

Explanation:

Side (length) = 25 cm

As we know, all the sides of the square are equal.

Further,

Area of the square = (side) ²

Area = ( 25 )²

Area = 625 cm²

Therefore, area of the square is 625 cm².

6 0
3 years ago
The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.
vfiekz [6]

Answer:

Minimum surface area =70.77 cm^2

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container=54 cm^3

We have to find the minimum surface areas that this container will have.

Volume of container=l\times b\times h

x\times 2x\times h=54

2x^2h=54

h=\frac{54}{2x^2}=\frac{27}{x^2}

Surface area of container=2(b+l)h+lb

Because the container does not have lid

Surface area of container=S=2(2x+x)\times \frac{27}{x^2}+2x\times x

S=\frac{162}{x}+2x^2

Differentiate w.r.t x

\frac{dS}{dx}=-\frac{162}{x^2}+4x

\frac{dx^n}{dx}=nx^{n-1}

Substitute \frac{dS}{dx}=0

-\frac{162}{x^2}+4x=0

4x=\frac{162}{x^2}

x^3=\frac{162}{4}=40.5

x^3=40.5

x=(40.5)^{\frac{1}{3}}

x=3.4

Again differentiate w.r.t x

\frac{d^2S}{dx^2}=\frac{324}{x^3}+4

Substitute x=3.4

\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0

Hence, function is minimum at x=3.4

Substitute x=3.4

Then, we get

Minimum surface area =\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2

8 0
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Answer:

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Step-by-step explanation:

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Anyone know how to do congruent triangles?
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Answer:

Sweetie, what's your email? I can get the document completed and sent to you



7 0
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