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3 years ago

Solve for c: 6/15=2/c

Mathematics

1 answer:

Solnce55 [7]3 years ago

7 0

6/15 = 2/c

c = 2/6 * 15

c = 5

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

2 years ago

Solve the inequality. q - 1 1/3 > -2 1/2

ioda

$\Leftrightarrow q>1\frac{1}{6}$

Step-by-step explanation:

$q-\frac {11}{3}>-2\frac{1}{2}$

$\Leftrightarrow q>-2\frac{1}{2}+\frac {11}{3}$

$\Leftrightarrow q>\frac{7}{6}$

$\Leftrightarrow q>1\frac{1}{6}$

6 0

2 years ago

Fractional indices pls help

bulgar [2K]

Answer:

Formula used :

(a^m)^n = a^(m×n)
a^m × a^n = a^(m+n)

$27 \times {9}^{3x} = {3}^{k} \\ {3}^{3} \times { {(3}^{2}) }^{3x} = {3}^{k} \\ {3}^{k} = {3}^{3} \times {3}^{(2 \times 3x)} \\ {3}^{k} = {3}^{3} \times {3}^{6x} \\ {3}^{k} = {3}^{(6x + 3)} \\ \boxed{k = 6x + 3}$

k = (6x+3) is the right answer.

5 0

2 years ago

China's Shanghai Tower will be finished in 2014. The building will be 2,074 feet high and have 121 stories. Based on these numbe

ivanzaharov [21]

Answer:

17 feet

Step-by-step explanation:

there are 121 stories and a total of 2,074 feet so you would divide 2,074 by 121 and you would get 17 feet rounded up.

3 0

2 years ago

Read 2 more answers

$1,000, 7% , 2years

Simora [160]

Answer:

$1,140, or $1,144.9

Step-by-step explanation:

70 is 7% of 1,000

70 x 2 = 140

140 + 1,000 = 1,140

Or, if you mean 7% compounded annually then....

1,070 after first year.

7% of 1,070 = 74.9

74.9 + 1,070 = 1,144.9

4 0

3 years ago