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
e-lub [12.9K]
3 years ago
9

HELP PLEASE. A pizza shop charges customers based on the area of the pizza they order. The cost of a pizza in dollars can be rep

resented
by so) - 0.1 ser? where r is the radius of the pizza in inches.
What is the diameter of a pizza that costs $26.32? Round to the nearest hundredth.
o 9.15 inches
O 18.30 inches
O 83.72 inches
o 217.63 inches

Mathematics
2 answers:
Sever21 [200]3 years ago
8 0

Answer:

<u>The correct answer is B. 18.30 inches</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

<u> </u>Cost of the pizza = $ 0.10 * π * r², where r = radius of the pizza in inches<u>  </u>

2. What is the diameter of a pizza that costs $26.32 ?  

Let's recall the formula of the area of a circle, in this case, the area of the pizza:  

Area = π * r², therefore the constant 0.10 that is multiplying the area of the pizza, is the cost of the pizza in dollars per square inch.

<u> </u>Cost of the pizza = $ 0.10 * π * r²

<u>Replacing with the values we have:</u>

26.32 = 0.10 * 3.1416 *  r²

26.32 = 0.31416 * r²

r² = 26.32/0.31416

r² = 83.78

r = √ 83.78

r = 9.15 inches ⇒ d = 9.15 * 2 = 18.30

<u>The correct answer is B. 18.30 inches</u>

san4es73 [151]3 years ago
4 0

For this case we have that the cost of each pizza is given by the following function:

S (r) = 0.1 \pi * r ^ 2

Where:

r: It's the radius of the pizza

IF a pizza cost $26.32 we have:

26.32 = 0.1 \pi * r ^ 2

We cleared the radius, using \pi = 3.14:

\frac {26.32} {0.1} = \pi * r ^ 2\\263.2 = 3.14r ^ 2\\\frac {263.2} {3.14} = r ^ 2\\83.82 = r ^ 2\\r = \pm \sqrt {83.82}

We choose the positive value:

r = 9.15

So, the radius of the pizza is 9.16 \ in

Then, the diameter is: 2r = 2 * 9.15 = 18.30 \ in

Finally, the diameter of the pizza is:18.30 \ in

Answer:

Option B

You might be interested in
A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a
Sonja [21]

Answer:

Step-by-step explanation:

The total number of ways of selecting 3 gems of any kind without replacement is 35 * 34 * 33 = 39270

Now selecting 2 gems from 25 is 25C2

25 C 2 = 25 * 24/2 = 300

Selecting one good gem is 10

Total selection = 300 * 10 = 3000

P(gems) = 3000 / 39270

P(gems) = 300/3927

P(gems) = 100/1309

6 0
3 years ago
Eight hours equals how many minutes
kvv77 [185]

480. 8 x 60 would equal 480

4 0
3 years ago
Read 2 more answers
Which expression is equivalent to 3m + 1 - m?<br><br> 2 + m - 1 + - m<br> 1 + m<br> 3m - 1<br> 3m
Rasek [7]

Answer:

I  believe it would be A) 2 + m - 1 + - m

5 0
3 years ago
Solve the system of equations. y = x2 + 7x - 5 y = 2x + 9
marissa [1.9K]

Answer:

(2, 13)

(-7, -5)

Step-by-step explanation:

Easiest and fastest way to do this is to graph the systems of equations and analyze the graph where the 2 graphs intersects.

6 0
3 years ago
Read 2 more answers
Combine the like terms
Aleksandr-060686 [28]
The answer for:

20)
6x-7+6x³-4x-10x³-4-8x - 2x²= −43−22−6−11

19)
8u+6+7u+(-10) + (-5u) + 8= 10+4
4 0
3 years ago
Read 2 more answers
Other questions:
  • Alexis and 3 friends are at the mall, each person buys a pretzel for $4, sauce for $1, and a drink for $2. Write an expression f
    12·1 answer
  • Write an equation of the line, in point-slope form, that passes through the two given points. points: (–15, 7), (5, –3)
    14·1 answer
  • Sum of finite geometric series three triangles
    6·1 answer
  • What is the value of x?
    7·1 answer
  • What is a possible solution to -7x+4&gt;-3x-6
    7·1 answer
  • The quotient of x and 12
    12·2 answers
  • PLEASE I WILL GIVE BRAINLIEST AND I WIL REPORT ANSWERS THAT HAVE NOTHING RI DO WITH MATH THANKS ​
    9·1 answer
  • 4. Which of the following is not true of saliva?
    6·1 answer
  • A couple plans to have 3 children. Assuming the probability of having either a boy or a girl is 50%, what is the probability the
    8·1 answer
  • A city park has a train ride. The profit the park earns from the daily train rides is based on the number of passengers,
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!