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earnstyle [38]
3 years ago
13

Please help asap please

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0
Ok, so lets evaluate this here:
2/3 (x - 6) - y       Let's do the first part: 2/3 (x - 6)
                           If X = 9 then we subtract 6 from 9 and get 3. Then we multiply 
                           3 by 2/3 and get 2.
Then lets do the 2nd part: 2 - y.
So if y = 5/6, we can first convert 2 into an improper fraction in sixths and have 12/6. Then. we just have to do 12/6 - 5/6 and subtract the numerators and end up with 7/6. The final answer is A, hope this helps!
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An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th
Irina-Kira [14]
Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is \sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by 8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h

Area of the four side faces of the aquarium is 4 times the length of the base times the height = 4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}

Total area to be covered by grass is the base and the four side faces and is given by \frac{20}{h}+\sqrt{320h}

Cost of the entire metal frame = 7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h

Cost of the entire grass = 8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h

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C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h
3 0
3 years ago
Angelina wants to buy the same number of pens and pencils. Pens come in 8 packs and pencils come in packs of 9. What is the leas
andrew11 [14]

Answer:

Angelina should buy 9 packs of pens and 8 packs of pencils.

Step-by-step explanation:

Each pack of pens = 8 pens

Each pack of pencils = 9 pencils.

Also we know that, Commutative Property of Multiplication states that

a x b = b x a for any two numbers a and b.

So, 8 x 9 = 72 = 9 x 8

Hence, she should buy 9 packs of pens, so she will have 9 x 8 = 72 pens.

And she should buy 8 packs of pencils, she will have 8 x 9 = 72 pencils.

7 0
3 years ago
If B=3x^{2}-x+3 and A=x-6, find an expression that equals 2B+3A in standard form.
Ivan

9514 1404 393

Answer:

  6x^2 +x -12

Step-by-step explanation:

Substitute for A and B and collect terms.

  2B +3A

  = 2(3x^2 -x +3) +3(x -6) . . . . substitute for A and B

  = 6x^2 -2x +6 +3x -18 . . . . . eliminate parentheses

  = 6x^2 +x -12 . . . . . . . . . . . . collect terms

7 0
3 years ago
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