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3 years ago

Twenty less than 8 times a number is the same as 15 more than the number

1 answer:

6 0

$x-\ number\\\\
8x-20=15+x\ \ \ | subtract\ x\\\\
7x-20=15\ \ \ | add\ 20\\\\
7x=35\ \ \ | divide\ by\ 7\\\\
x=5\\\\Number\ is\ 5.$

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A billboard designer has decided that a sign should have 3 ft margins at the top and bottom and 5 ft margins on the left and rig

elixir [45]

Answer:

The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is $9000 ft^2$ then $9000=xy$

Step-by-step explanation:

• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.

• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.

• To find the printed area of billboard calculations are given below:

$& 9000=xy$

$& y=\frac{9000}{x} \\ & A=(x-10)(y-6) \\ & A=xy-6x-10y+60 \\ & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\ & A=9060-6x-\frac{9000}{x} \\$

On taking the first order derivative of A

$A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)$

$& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\ & 6{{x}^{2}}=90000 \\ & x=\sqrt{15000} \\ & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\$

• Hence $x=10\sqrt{150}$ and $y=\frac{900}{\sqrt{150}}$

Learn More about Differentiation Here:

brainly.com/question/13012860

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3 years ago

Read 2 more answers

Classwork: Multiply, Add, and Subtract Polyno

V125BC [204]

I hope this was helpful

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1 year ago

Given that y = 18 + 3x²<br> i) express x in terms of y

fgiga [73]

Answer:

$\sqrt{-6 + \frac{y}{3}} = x$

Step-by-step explanation:

y = 18 + 3x²

- 18 - 18

__________

$\frac{-18 + y}{3} = \frac{3x^2}{3} \\ \\ -6 + \frac{y}{3} = x^2 \\ \\ \sqrt{-6 + \frac{y}{3}} = x$

I am joyous to assist you anytime.

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3 years ago

A supermarket employee is making a mixture of cashews and almonds. Cashews cost $7 per pound, and almonds cost $5 per pound. The

Paraphin [41]

Answer:

Step-by-step explanation:

It has to be less than 6 , x+y<6

Now in inequalities that have 7 and 5 in them, 7 represents the cost of first ingredient and 5 the cost of second ingredient.multiply each of that number with quantity of that ingredient and sum both up we get the price of the mixture.

the mixture has to be less than 30 that means that it costs less than 30 but 30 can be the answer as well.

The last answer is 7x + 5y

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3 years ago

It cost $75 to rent a limo, plus $20 per hr. Write an equation to represent the total cost,c, of renting the limo for T hours.

qwelly [4]

We must create the equation from the information. Well, we know that there is a 75 dollar fee right off the top, and there is the word "plus" in the information meaning there will be adding.

1. Add the given cost plus the addition sign.

75 + ___ = ?

Now, we must find out what fills in "__." It says that it costs $20 per hour to rent the limo. However, it doesnt tell you how many hours it is being rented for, however it does say that the amount of hours is represented by T. So, fill in that information.

2. Fill in the second number.

75 + 20T = ?

Since there isn't a number to finish the second number to the equation, we know that there isn't going to be a completed answer. So, fill in the final cost with "c" as explained in the equation.

3. Write the answer.

75 + 20T = c

So, the equation to this problem is:

75 + 20T = c

Which is how to find out how much the limo costs to rent it.

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3 years ago