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devlian [24]
3 years ago
12

The total number of burgers sold from a restaurant from Monday to Sunday can be modeled by the function f(d)=200d^3 + 542d^2 + 1

79d + 1605 and 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?
Mathematics
1 answer:
DerKrebs [107]3 years ago
3 0

Answer:

Average = 96

Step-by-step explanation:

Average = sum of terms/ number of terms

sum of terms = number of burgers sold

number of terms = number of visitors

d =  number of days since Monday which is 7

burgers sold = 200d^3 + 542d^2 + 179d + 1605 substituting d with 7

burgers sold = 200(7)³ +542(7)² + 179(7) +1605

burgers sold =68600 + 26558 + 1253 + 1605

burgers sold =98016

number of visitors= 100d + 321

number of visitors= 100(7) + 321

number of visitors= 700+321

number of visitors= 1021

Average = 98016/1021

Average = 96

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Evaluate the expression below.
o-na [289]

Answer:

<h2>A. 1</h2>

Step-by-step explanation:

Use:

|a| = a for a ≥ 0 or |a| = -a for a < 0

PEMDAS:

P Parentheses first

E Exponents

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

========================================

|8 - 7| · 4 + 3(-1)

= |1| · 4 - 3

= 1 · 4 - 3

= 4 - 3

= 1

6 0
3 years ago
Read 2 more answers
In Juan's coin bank there are nickels (n),
alukav5142 [94]

Answer:

The answer is 8 quarters, 16 nickles, and 32 dimes

Step-by-step explanation:

  1. First, the equation would be (2/4d) x 5 +d x 10 +1/4d x 25= 600 (Don't put 6.00, that's dollars. We put 6 dollars into cents to make it easier.)
  2. Then we slowly start to solve: 10/4d + 10d + 25/4d = 600
  3. 10d+40d+25d/4 = 600 (Put all of that over 4, not first 25d)
  4. 75d= 600 x 4
  5. d=600 x 4/75 (same here put everything over 75)
  6. d=32
  7. So then n= 2 x 32/4 = 16
  8. Then n would be equal to : 1/4d= 1/4 x 32 = 8
  9. So your answer would be 8 quarters, 16 nickles, and 32 dimes.

Hope this helped :)

5 0
3 years ago
Taj has a choice of water, iced tea, or lemonade; with lemon or lime twist; served in a small or large glass. how many more choi
shusha [124]

Answer:

Total number of choices with a straw:  12

Total number of choices without a straw: 12

Total number of choices: 24

Step-by-step explanation:

Taj has a choice of:

  • water, iced tea, or lemonade (3 options)
  • with lemon or lime twist (2 options)
  • served in a small or large glass (2 options)

This made a total of 3*2*2: 12 different choices

if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24

5 0
3 years ago
Write an algebraic rule to describe the translation c (5,-4) c'(-2,1)
Sauron [17]
We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)

So, plugging in the values and solving for a and b,
5 + a = -2
a = -8

-4 + b = 1
b = 5

Therefore, the translation is
(x,y) (x - 8, y +5)
5 0
2 years ago
Use the quadratic formula to solve the equation if necessary round to the nearest hundredth x^2+x-30=0
yaroslaw [1]

Answer:

(x-5)(x+6)=0

Step-by-step explanation:

hehe i doing the smae unit rn.

if a=1 (which it does do ac factoring)

you need two numbers that multiply to -30 and add to 1. those numbers  are 5 and -6.

substitute 1x for -5x + 6x.

group the numbers into pairs and find their gcf's

x(x-5)    6(x-5)

since the parenthesis r the same yo only need one. Now you need to put x and 6 in a parenthesis.

FINAL: (x-5)(x+6) hope this helps

6 0
3 years ago
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