Write the verbal expression as an algebraic expression:

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

6 0

Answer:

$(\frac{x}{6})-3\\ or\\\frac{x}{6} -3\\$

I hoped this helped.

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Find the smallest 3-digit number which gives the remainder 1 when divided by 3 and by 4.

trasher [3.6K]

Multiples of 3 plus 1 remainder are:

3n+1

Multiples of 4 plus 1 remainder are:

4n+1

Since these multiples must be the same number must be a multiple of 12 plus a remainder of one, which is:

12n+1

And the smallest such three digit number is:

12n+1>99 subtract 1 from both sides

12n>98 divide both sides by 12

n>8.17

Since n must be an integer, n=9

So then number is 12n+1

12(9)+1=109

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3 years ago

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solniwko [45]

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3 years ago

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Choose the correct molecular geometry of the phosphorus atom in each of these ions from the list below: A) square plane B) T-sha

mario62 [17]

Answer:

See attached picture.

Step-by-step explanation:

See attached picture.

For remaining parts resubmit question.

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3 years ago

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,