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Lady bird [3.3K]

3 years ago

13

Solve the proportion. s+1/4 = 4/8 s=

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Answer:

8 = 16

Step-by-step explanation:

1/4 = 4 /8

Cross multiply:

1 * 8 = 4 * 4

Simplifying

1 * 8 = 4 * 4

Multiply 1 * 8

8 = 4 * 4

Multiply 4 * 4

8 = 16

Solving

8 = 16

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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<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0

3 years ago

What is the LCD of 11/12 and 1/8

s344n2d4d5 [400]

11/12 and 1/8
we only need to look at the denominators which is
12 and 8

12 24 36
8 16 <span> 24
</span>so the LCD is 24

7 0

3 years ago

A biker traveled 24 miles in 6 hours. A unit rate to describe this would be 4 miles per hour. What is another unit rate in this

padilas [110]

Answer:

(1/4) hr/mile

Step-by-step explanation:

4 mph can be rewritten using other units of measurement:

Suppose we convert 'miles' to 'feet:'

Then:

4 miles 5280 ft

---------- * ------------- = 21120 ft/hr

1 hr 1 mile

Note that we could invert 4 mph and obtain

1 hr

-------- or (1/4) hr/mile

4 mi

4 0

3 years ago

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Dale wanted to put a brick border around his circular flower bed The diameter is five feet how much brick will he need for the b

zmey [24]

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Why are mathematicians like airlines?

ipn [44]

They both use planes.

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4 years ago