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Alinara [238K]
3 years ago
11

A bulletin board has an area of 1/ 12 yd and a length of 1/3 yard the bulletin board is divided into six equal sections right vi

sion expressions to solve each part and show your work
Mathematics
2 answers:
gulaghasi [49]3 years ago
8 0

Answer: The 6 sections has an area of 1/72 square yards

Step-by-step explanation:

Length= area / length

Length = 1/12 ÷ 1/3 = 1/12 × 3/1 = 1/4 yards

Since the width and length are different and the 6 squares must be arranged in a 2 × 3 pattern.

The long side is 1/3 yard

1/4 ÷ 2/1 = 1/4 × 1/2 = 1/8 yard

And the width is 1/3 ÷ 3/1 = 1/3 × 1/3 = 1/9 yard

The 6 sections are 1/8 × 1/9 and each one has an area of 1/8×1/9 = 1/72 square yard

nlexa [21]3 years ago
6 0

Answer:

Step-by-step explanation:

Given:

Area = 1/12 yd^2

Length = 1/3 yd

Area of a rectangle = length × width

Width = 1/12 ÷ 1/3

= 1/4

Since it is divided into 6 parts, it can be written as 2 × 3 pattern.

Since the length is the longer part, it eould be divided into 3 then the width into 2

Length of the section = 1/3 ÷ 3

= 1/9 yd

Width of the section = 1/4 ÷ 2

= 1/8 yd

Area of the section = length of the section × width of the section

= 1/8 × 1/9

= 1/72 yd^2

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Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that
Murljashka [212]

Answer:

185 units

Step-by-step explanation:

Given,

The revenue function is,

R(x) = 4x

Cost function,

C(x) = 0.01x^2 + 0.3x + 4,

Where,

x = number of units produced.

Thus, profit = revenue - cost

P(x) = 4x - ( 0.01x^2 + 0.3x + 4) = -0.01x^2 + 3.7x - 4

Differentiating with respect to x,

P'(x) = -0.02x + 3.7

Again differentiating with respect to x,

P''(x) = -0.02

For maxima or minima,

P'(x) = 0,

-0.02x + 3.7x =0

-0.02x = -3.7

\implies x = \frac{3.7}{0.02}=185

For x = 185,

P''(x) = negative,

Hence, for maximising the profit 185 units must be produced.

3 0
3 years ago
Drag each expression to show whether it is equivalent to 54x + 18, 18(3x – 1), or (6 • 9x) + (6 • 1).
gladu [14]

Answer:

54x + 18 equivalent to (6 • 9x) + (6 • 3)

18(3x – 1) equivalent to 54x - 18

(6 • 9x) + (6 • 1) equivalent to 54x + 6

7 0
4 years ago
Please answer the question fast
Vlad [161]

Answer:

(-7,4] or -7 < X ≥ 4

Step-by-step explanation:

The domain is all applicable X values for the function. In this function, X can be greater than but not including -7, but has to be less than 4 (inclusive).

You can write your answer as (-7,4] or -7 < X ≥ 4.

5 0
3 years ago
What is the value of m,the points (2,3),(3,6)and (m,12) are collinear....Please y'all help me out
timurjin [86]

Answer:

m = 5

Step-by-step explanation:

Since the points are collinear, they all lie on the same line and have the same slope between them.

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (3, 6)

m = \frac{6-3}{3-2} = \frac{3}{1} = 3

Now calculate the slope using 2 other points and equate to 3

(x₁, y₁ ) = (3,  6) and (x₂, y₂ ) = (m, 12)

m = \frac{12-6}{m-3} = \frac{6}{m-3} = 3 ( multiply both sides by m - 3 )

6 = 3(m - 3) ← divide both sides by 3

2 = m - 3 ( add 3 to both sides )

5 = m

4 0
3 years ago
Read 2 more answers
3 pounds of pecans costs $33. At this rate, how many pounds of pecans could you get for $22?
Kamila [148]

Answer:

You can get 2 pounds of pecan for the cost of 22$

Step-by-step explanation:

if 3 pounds of pecan cost 33$ that means 1 Pound of pecan cost 11$ So if there is three pound of pecan that means it cost 33$ like it says in the question, so for the price of 22$ you can get two pecans.

6 0
3 years ago
Read 2 more answers
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