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Maslowich
3 years ago
12

6

Mathematics
1 answer:
Inga [223]3 years ago
5 0

Answer:

b

Step-by-step explanation:

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8 0
3 years ago
How do you break down this problem?
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8 0
3 years ago
Can someone please help me with all of these problems. They are a ton of them and they are due tomorrow. PLEASE AND THANK YOU
Masteriza [31]

15. \frac{x}{5} - g = a

Add "g" on both sides

\frac{x}{5}  = a +g

Multiply 5 on both sides to get x by itself

x = 5(a + g)

x = 5a + 5g


18. a = 3n + 1

Subtract 1 on both sides

a - 1 = 3n

Divide 3 on both sides to get n by itself

\frac{a - 1}{3}  = \frac{a}{3} -\frac{1}{3} = n


21. M = T - R

Add "R" on both sides to get "T" by itself

M + R = T


24. 5p + 9c = p

Subtract "5p" on both sides

9c = p - 5p

9c = -4p

Divide 9 on both sides to get "c" by itself

c = \frac{-4p}{9} or c = \frac{-4}{9} p


27. 4y + 3x = 5

Subtract "4y" on both sides

3x = 5 - 4y

Divide 3 on both sides to get "x" by itself

x = \frac{5-4y}{3}

x = \frac{5}{3} -\frac{4y}{3}

7 0
3 years ago
A farmer wants to fence a rectangular area of 72 square feet next to a river. Find the length and width of the rectangle which u
Arlecino [84]

Answer:

  • 12 ft parallel to the river
  • 6 ft perpendicular to the river

Step-by-step explanation:

The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.

72 = W(2W)

36 = W²

6 = W . . . . . . the width perpendicular to the river

12 = 2W . . . .  the length parallel to the river

_____

<em>Development of this relation</em>

Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...

  A = xy = x(T -x)/2

Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...

 x = (0 +T)/2 = T/2

The corresponding area width (y) is ...

  y = (T -T/2)/2 = T/4

Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.

8 0
3 years ago
The square below has an area of x^2 - 12x + 36 square meters.
Andreyy89

Answer:

(x - 6) meters

Step-by-step explanation:

x² - 12x + 36

x² - 2(x)(6) + 6²

(x - 6)² = side²

side = x - 6

4 0
3 years ago
Read 2 more answers
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