MATHEMATICS MIDDLE SCHOOL

The total number of burgers sold from a restaurant from Monday to Sunday can be modeled by the function f(d)=200d3+542d2+179d+1605and the number of visitors to the restaurant from Monday to Sunday can be modeled by g(d)=100d+321, where d is the number of days since Monday. What is the average number of burgers per person?

Answers

Answer 1

Answer:

Answer:

$2d^2-d+5$

Step-by-step explanation:

The total number of burgers sold from a restaurant from Monday to Sunday:

$f(d)=200d^3+542d^2+179d+1605$

The number of visitors to the restaurant from Monday to Sunday:

$g(d)=100d+321$

To find the average number of burgers per person, just divide $f(d)$ by $g(d).$

First, multiply $g(d)$ by $2d^2$ and subtract the result from $f(d)$ :

$200d^3+542d^2+179d+1605-2d^2(100d+321)\n \n=200d^3+542d^2+179d+1605-200d^3-642d^2\n \n=-100d^2+179d+1605$

Then, multiply $g(d)$ by $-d$ and subtract the result from $-100d^2+179d+1605$ :

$-100d^2+179d+1605-(-d)(100d+321)\n \n=-100d^2+179d+1605+100d^2+321d\n \n=500d+1605$

Now, multiply $g(d)$ by $5$ and subtract the result from $500d+1605$ :

$500d+1605-5(100d+321)\n \n=500d+1605-500d-1605\n \n=0$

Hence,

$f(d)=g(d)(2d^2-d+5)$

and the function

$b(d)=2d^2-d+5$

represents the average number of burgers per person.

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Solving
the equation -3(y - 5) = 24

Answers

Distribute
-3y+15=24
-15=-15
-3y= 9
-3 = -3
y=-3

-3(y-5)=24
First follow the distributive property and do the parentheses.
-3 times y gives you:-3y
-3 times -5 gives you 15 since a negative times a negative is a positve.
So now you have -3y +15 = 24
subtract 15 from both sides and you will get: -3y+15-15=24-15
which then gives you: -3y= 9
to get y by itself divide both sides by -3.
this gives you: y= -3

The cost in dollars to print n books is 500 + 10n. How many books are printed for a cost of $15 000?Guys help me SOS

Answers

N= the # of books
So you're trying to find n and you have the cost for the printed books, which is 15,000, so you would set up your equation like this:
15,000=500+10n
Subtract 500 from each side
14850=10n
Divide by 10
n=1,485 books are printed

Final answer:

By simplifying the equation 500 + 10n = 15 000, we can find that 'n' equals 1450.

Explanation:

The question is asking to find the number of books ('n') that can be printed for a cost of $ 15,000. The formula provided is the cost of printing 'n' books which is represented as 500 + 10n. To find the number of books ('n'), you need to solve the equation 500 + 10n = 15 000 for 'n'.

First, subtract 500 from both sides of the equation. This will leave 10n = 14 500.
Next, divide both sides by 10 to solve for 'n'. This will give n = 1450.

So, for a cost of $ 15,000, 1 450 books can be printed. Therefore, by simplifying the equation 500 + 10n = 15 000, we can find that 'n' equals 1450.

Learn more about Algebra here:

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PLEASE ANSWER!!!!!!!!!!!!!!!!!!

Answers

The person buys a total of 20 frames.
'f' of the frames are size 4 by 6, and cost 5.8
that means 20 - f frames are size 5 by 7, and cost 9.6
And the total is 80.8

So... we get:

5.8f + (20-f)9.6 = 80.8

Answer is B

What is the value of the expression shown below? 7 + (2 + 6) 2 ÷ 4 ⋅ (5 points) 23 18 9 8

Answers

Answer:

Step-by-step explanation:

7 + (2 + 6) 2 ÷ 4

Using BODMAS in order of solving, which stands for (bracket,of,division,multiplication,addition,subtraction)

This means we take bracket first

(2+6) = 8

So we have now, 7 + 8 ×2 ÷ 4

Division is next = 2÷4 = 1/2

So we have

7 + 8 × 1/2

Now multiplication

8 × 1/2 = 4

Now we have,

7 + 4

= 11

I hope this was helpful, please rate as brainliest

At a party, 70 people are right-handed and 12 people are left-handed. What is the ratio of right-handed people to the total? (Reduce your answer to lowest terms.)

Answers

The correct answer would be 35 to 41 or 35:41. You just put the 70 in the front because you find the ratio first of the right-handed people. Then put the total, which is 70+12, which equals 82. Now, it's 70 to 82. It can be simplified to 35 to 41. Finally, you got the answer, which is: 35 to 41.
Hope this helps. :-)

Final answer:

The ratio of right-handed people to total people at the party is calculated by dividing both the number of right-handed people and the total number of people by their greatest common divisor (GCD). In this case, the ratio in simplest form is 35:41.

Explanation:

To answer this question, one needs to understand the concept of ratios. In this case, we are looking for the ratio of right-handed people to the total number of people at the party.

Start by adding the number of right-handed and left-handed people to get the total number of people: 70 (right-handed) + 12 (left-handed) = 82 (total).

The next step involves setting up the ratio. The number of right-handed people (70) is set over the total number of people (82). So, the ratio is 70:82.

To reduce the ratio to lowest terms, you find the greatest common divisor (GCD) of both numbers. The GCD of 70 and 82 is 2. Divide both numbers by their GCD to get the ratio in simplest form: 70 ÷ 2 = 35 and 82 ÷ 2 = 41. Therefore, the ratio of right-handed people to the total number of people at the party in simplest form is 35:41.

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What is a reasonable estimate for -98.6 divided by 3.8

Answers

-98.6/3.8=-25.94 because if you line the decimals up and then add them you will get -25.94

-98.60

+ 3.80

-25.94

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