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lukranit [14]
3 years ago
14

(20 Points) Perform the indicated operations.

Mathematics
1 answer:
JulijaS [17]3 years ago
7 0

Answer:

5x-8/12y

Step-by-step explanation:

x+1

3y

+

x−2

4y

−(

x+3 /6y

=

30xy2−48y2

72y3

=

30x−48/72y

=

5x−8 /12y

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If a/2 = b/3, then b/a = ?<br><br> A. 3/2<br><br> B. 2/3
Paul [167]
It would be A because b+a
4 0
3 years ago
Store A
MArishka [77]
<h3>Answer: Choice C) $1,444.50</h3>

========================================================

There are two methods to get the answer.

The slightly longer method is to take 7% of the original price to get

7% of 1350 = (7/100)*1350 = 0.07*1350 = 94.50

The sales tax is $94.50

Add this onto the original price to get 1,350+94.50 = 1,444.50

----------------------------

A shortcut is to multiply the original price by 1.07

The multiplier 1.07 represents a 7% increase since

  • 1 = 100%
  • 0.07 = 7%
  • 1.07 = 1 + 0.7 = 100% + 7%

So we will have 1.07*1350 = 1,444.50

4 0
3 years ago
A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
Vinvika [58]

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

8 0
2 years ago
How to solve:<br> 8(2)-4<br>________<br>8÷4 ?
MissTica
So the first thing you do is dove the equations. Let's do the numerator equation. 8(2)-4 is simply saying 8•2-4 and i don't know if u learned this in class yet but you do multiplication and division before addition and subtraction so 8•2=16-4=12 so now 12 is our numerator. Now for the denominator, 8/4=2 so 2 is our denominator. We have 12/2 but it can be simplified to 6 because 6 goes into 12 twice and u cans check this by doing 6•2=12
Hope this helps m8 :))
6 0
3 years ago
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Truth or Dare?<br> Have a nice day/night &lt;3
denpristay [2]

Answer:

Truth plz

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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