1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lunna [17]
2 years ago
5

A pizza buffet has prepared 15 pizzas to place on the line at the beginning of lunch at 11:00 a.m. The equation used to describe

the total number of pizzas that have been placed out on the buffet line is shown below.
y = 11x + 15


If x represents every 8 minutes after 11:00 a.m, which statement best describes the rate of change in the number of pizzas set out on the buffet?


A.

Every 16 minutes, 11 more pizzas were set out on the buffet.

B.

Every 16 minutes, 22 more pizzas were set out on the buffet.

C.

Every 16 minutes, 32 more pizzas were set out on the buffet.

D.

Every 8 minutes, 21 more pizzas were set out on the buffet.


HELP!!!
Mathematics
1 answer:
Anit [1.1K]2 years ago
7 0

Answer:

B. Every 16 minutes, 22 more pizzas were set out on the buffet.

Step-by-step explanation:

At 11:00 am, x would be equal to 0, and there would be 15 pizzas on the buffet line. Then, every 8 minutes, 11 more pizzas are added to the buffet line. So in 16 minutes, 22 pizzas will be added to the buffet.

\frac{16}{8} =2\\(11)(2) = 22

You might be interested in
You are constructing a tangent line from a point outside a given circle to the circle. You have drawn the circle, a point outsid
sveta [45]
Yikes I might go with C. 
6 0
3 years ago
Read 2 more answers
(a) Use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit. lim n→∞ n i = 1 Correct
Luba_88 [7]

Splitting up the interval of integration into n subintervals gives the partition

\left[0,\dfrac1n\right],\left[\dfrac1n,\dfrac2n\right],\ldots,\left[\dfrac{n-1}n,1\right]

Each subinterval has length \dfrac{1-0}n=\dfrac1n. The right endpoints of each subinterval follow the sequence

r_i=\dfrac in

with i=1,2,3,\ldots,n. Then the left-endpoint Riemann sum that approximates the definite integral is

\displaystyle\sum_{i=1}^n\frac{{r_i}^3}n

and taking the limit as n\to\infty gives the area exactly. We have

\displaystyle\lim_{n\to\infty}\frac1n\sum_{i=1}^n\left(\frac in\right)^3=\lim_{n\to\infty}\frac{n^2(n+1)^2}{4n^3}=\boxed{\frac14}

6 0
3 years ago
Find the Measure of the missing angles.
Savatey [412]

Step-by-step explanation:

1= 118°+angle 1=180°

angle 1= 180°-118°=62°

angle 2=180°-135°=45°

angle 3=135°

8 0
3 years ago
A rock falls off a balcony. It's height (in feet) is given by the formula f(x)=-16t^2+13.4t+120, where t is measured in seconds.
pantera1 [17]

Answer:

  3.189 seconds

Step-by-step explanation:

You want f(t) = 0, so ...

  0 = -16t^2 +13.4t +120

  0 = t^2 -0.8375t -7.5 . . . . divide by -16

  0 = (t^2 -0.8375t +0.41875^2) -7.5 -0.41875^2 . . . . complete the square*

  0 = (t -0.41875)^2 -7.6753515625 . . . . write as a square

  √7.6753515625 = t -0.41875 . . . . . . . . add 7.67... and take positive root

  t = 0.41875 +√7.6753515625 ≈ 3.189192 . . . . add 0.41875

It will take the rock about 3.189 seconds to hit the ground.

_____

* We complete the square by adding the square of half the coefficient of the linear term (= (-0.8375/2)^2) inside parentheses and subtracting the same amount outside parentheses. This gives a form inside parentheses that is ...

  (t^2 -2at +a^2) = (t -a)^2

Completing the square is complicated a little bit by a leading coefficient that is not 1. That is why we divided by -16 first.

_____

<em>Comment on the question</em>

We note that the rock "falls" from the 120 foot high balcony by first traveling upward at a rate of 13.4 feet per second. We also note that the height function is written f(x), but uses t as the variable. That is, it should be f(t) = ...

8 0
2 years ago
2 3/4 written as fraction greater than one
sladkih [1.3K]
2 3/4 = 11/4 <=== written as an improper fraction
3 0
3 years ago
Read 2 more answers
Other questions:
  • Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
    10·2 answers
  • Does Meteo’s data show a positive association or a negative associate? Explain how you know
    5·1 answer
  • Solve for the following 6(16x+3)-2/3(9-12x)+25=0
    8·1 answer
  • 8 plates cost 48 dollars, how much do 20 plates cost?
    14·1 answer
  • Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants
    5·2 answers
  • How many solutions does the equation 2x-6=3(x-1)-x-1
    6·1 answer
  • What’s the area of this electric radiator?
    6·2 answers
  • True or false the sum of two negative numbers is always negative explain why or why not this is true or false
    7·2 answers
  • Help with these equations please!
    11·1 answer
  • Manuel estimates that 2/3 of a pizza is left. Stephen estimates that 3/4 is left. They are
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!