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
Ganezh [65]
3 years ago
10

he height of a cone-shaped container is 70 centimeters and its radius is 15 centimeters. Cathy fills the container completely wi

th honey. Every day Cathy uses 500 cubic centimeters of honey from the container to make honey cookies. After how many days will the container be completely empty? Round your answer to the nearest whole number.
Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
6 0

Answer:

33 days.

Step-by-step explanation:

Rus_ich [418]3 years ago
5 0
Let's restate the given:

Height of cone = 70 cm
Radius = 15 cm

Now, first, let's find the volume of the cone through the formula V = πr²h/3
Substitute all data and you will get 16493.36 cubic centimeters. 

Now, to get how many days the container will be complete empty, you simply divide the volume of the cone by 500 cubic centimeters.

Days = 16493.36 cu cm/ 500 cu cm
Days = 32.99 or 33 days. 

Thus, the answer you're looking for is 33 days.
You might be interested in
5x + 3y = 16 <br> 3x -5y = -4<br> How do I solve this
lawyer [7]

Answer:

(2, 2)

Step-by-step explanation:

We can solve this system of equations using the elimination method.

Let's start by multiplying the first equation by 3:

3(5x+3y)=3(16)\\3(5x)+3(3y)=48\\15x+9y=48

Now, multiply the second equation by 5:

5(3x-5y)=5(-4)\\5(3x)-5(5y)=-20\\15x-25y=-20

Since both equations have 15x, we can eliminate the x by subtracting the two equations.

15x-15x+9y-(-25y)=48-(-20)\\9y+25y=68\\34y=68\\\text{Divide both sides by 34}\\y=2

Now, substitute 2 for y to solve for x:

5x+3y=16\\5x+3(2)=16\\5x+6=16\\\text{Subtract 6 from both sides}\\5x=10\\\text{Divide both sides by 2}\\x=2

Therefore the solution to this system of equations is:

(x, y)=(2, 2)

6 0
2 years ago
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
krok68 [10]

Answer:

The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

Step-by-step explanation:

Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:

100 x 0.9 + 0 x 0.4 = 90

90 x 0.9 + 10 x 0.4 = 85

80 x 0.9 + 20 x 0.4 = 80

50 x 0.8 = 40

Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

8 0
3 years ago
Shannon rolls two number cubes, each numbered one through six. She observes the numbers facing up on each number cube and finds
Natali5045456 [20]

<u>starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12).</u>

5 0
2 years ago
Read 2 more answers
Which equation best presents the relationship between x and y in the graph?
masya89 [10]
5x and 7y. Keep up the good work
5 0
3 years ago
The function f(x)=−2(0.25)x+1 is shown. Select from the drop-down menus to correctly describe the end behavior of f(x).
Viktor [21]

Answer:

Q1

cos 59° = x/16

x = 16 cos 59°

x = 8.24

Q2

BC is given 23 mi

Maybe AB is needed

AB = √34² + 23² = 41 (rounded)

Q3

BC² = AB² - AC²

BC = √(37² - 12²) = 35

Q4

Let the angle is x

cos x = 19/20

x = arccos (19/20)

x = 18.2° (rounded)

Q5

See attached

Added point D and segments AD and DC to help with calculation

BC² = BD² + DC² = (AB + AD)² + DC²

Find the length of added red segments

AD = AC cos 65° = 14 cos 65° = 5.9

DC = AC sin 65° = 14 sin 65° = 12.7

Now we can find the value of BC

BC² = (19 + 5.9)² + 12.7²

BC = √781.3

BC = 28.0 yd

All calculations are rounded

 

6 0
3 years ago
Other questions:
  • The annual health care costs for two new companies that opened in the year 2000 are shown on the graphs below.
    12·2 answers
  • What is the factor expression of 8x+56
    8·1 answer
  • What is the value of the missing side x?
    13·1 answer
  • Which table shows the function y=2x+4?
    13·1 answer
  • Work out an estimate for square root of 4.92+2.18×7.3158​
    13·1 answer
  • Which value of p is a solution to p x 1/3=6
    12·1 answer
  • (2x10^5)x(3x10^6) giving answer in standard form
    10·1 answer
  • CAN SOMEONE PLEASEEE HELP SIMPLIFY THESE TWO EXPONENT PROBLEMS I HAVE NO CLUE HOW
    10·1 answer
  • What is the formula for circumference? а a C = (pi) bo C = 2r с C = (pi) r2​
    6·2 answers
  • {-13,-2,9,20,31,…} which term in this sequence is 306
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!