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
ehidna [41]
1 year ago
11

Larry can eat six cupcakes in 21 minutes if he continues to eat at this rate how long will it take him to eat 14 cupcakes

Mathematics
1 answer:
I am Lyosha [343]1 year ago
3 0

Answer:

49

Step-by-step explanation:

21 divided by 6 equals 3.5

3.5 multiplied by 14 equals 49

Answer : 49

You might be interested in
In order to raise money for holiday gifts for your family, you are planning on starting a dog walking and car wash business. You
kramer

Answer:

Part 1) see the explanation

Part 2) see the explanation

Part 3) see the explanation

Part 4) The graph in the attached figure

Part 5) see the explanation

Step-by-step explanation:

Part 1) Assign a variable to represent the number of hours that you will spend dog walking in November. Write an expression to represent the amount of money you need to earn while dog walking

Let

x ----> the number of hours spent dog walking in November

so

12x=600

solve for x

x=50\ hours

Part 2) Assign a variable to represent the number of hours that you will spend washing cars in November. Write an expression to represent the amount of money you need to earn while washing cars.

Let

y ----> the number of hours spent washing cars in November

so

18y=600

solve for y

y=33.33\ hours

Part 3) Write an algebraic model using inequalities that represents the total amount of money earned by dog walking and washing cars during the month of November.

Let

x ----> the number of hours spent dog walking in November

y ----> the number of hours spent washing cars in November

we know that

You need to earn at least $600 during the month of November

The word "at least" means " greater than or equal to"

so

12x+18y\geq 600

Part 4) Graph the algebraic model in the first quadrant only.

we have

12x+18y\geq 600

using a graphing tool

The solution is the shaded area

see the attached figure N 1

Part 5) Use the graph and algebraic model to answer the following:

a) Why does the graph exist only in the first quadrant?

Because the number of hours cannot be a negative number

b) Are you able to earn exactly $600? Use the solutions of the system to find possible combinations of outcomes that equal exactly $600. Where do all of the combinations occur in the graph?

Yes its possible to earn exactly $600. All the combinations of outcomes that equal exactly $600 occur in the solid line 12x+18y=600

c) Is it possible to earn more than $600? Use the solutions of the system to find possible combinations of outcomes that are greater than $600. Where do all of the combinations occur in the graph?

Yes its possible to earn more than $600. All the combinations of outcomes that are greater than $600 occur above the solid line 12x+18y=600

d) If you work for 10 hours walking dogs and 10 hours washing cars, will you have earned enough money for the holiday gifts?

we have the ordered pair (10,10)

substitute in the inequality

12(10)+18(10)\geq 600

300\geq 600 ----> is not true

therefore

You must not have earned enough money for holiday gifts.

e) Where does 10 hours walking dogs and 10 hours washing cars fall on the graph? Is this location representative of the solution to the algebraic model?

The ordered pair (10,10) fall below the solid line 12x+18y=600

This location is not representative of the solution to the algebraic model, because the solution of the model is above the solid line

f) How would the algebraic model be different if you needed to earn more than $600? Adjust your algebraic model to show that you must earn more than $600. Would the graph of the model be different from the original? Would you include the line in the solution?

we know that

12x+18y=600 ----> represent a linear equation that show the possible combinations of outcomes that equal exactly $600.

The solution is the set of ordered pairs belong to the solid line

12x+18y\geq 600 ----> represent a inequality that show the possible combinations of outcomes that are greater than or equal to $600. The solid line is included in this solution

The solution is the shaded area above the solid line (The solid line is included in the shaded area)

g) In complete sentences, explain the difference between a solid line and a dashed line when graphing an inequality. When graphing the two algebraic models, how did you determine which type of line to use?

we know that

When the inequality is of the form ≥ or ≤ we have a solid line

When the inequality is of the form > or <  we have a dashed line

The difference is that in the solid line the line is included in the solution and in the dashed line the line is not include in the solution

h) How did you determine which part of the graph of the inequality to shade? What does the shaded area tell you? What does the area that is not shaded tell you?

we know that

when you have an inequality of the form

y> ax+b or y≥ax+b

The shaded area is above the line

when you have an inequality of the form

y< ax+b or y≤ax+b

The shaded area is below the line

The shaded area is the solution set of the inequality (ordered pairs that satisfy the inequality)

The area that is not shaded are the ordered pairs that are not solutions of the inequality (ordered pairs that satisfy the inequality)

5 0
3 years ago
if the statement "if it is snowing then it is cold outside" is assumed to be true is it reverse "if it is cold outsied then it i
Fofino [41]
No, the reverse is not always true, because it isn't always snowing outside when it's cold. However, if it's snowing outside, it must be cold as snow is, essentially, tiny bits of ice.
7 0
3 years ago
Read 2 more answers
What element has 6 protons and 9 neutrons
insens350 [35]

Answer:

A carbon atom.

Step-by-step explanation:

All carbon atoms have 6 protons however the amount of neutrons can vary but doesnt change the element.

7 0
3 years ago
Need help with this problem.
Galina-37 [17]

Answer:

18

Step-by-step explanation:

To find this we must divide 45 by 20 which gives the answer of 2.25. As we know this we now must multiply that by 8 resulting in to 18.

Therefore the answer is 18

5 0
3 years ago
. The product of 4.7 and 6.5 equals 30.55. What is the product of 4.7 and 4.7 and
7nadin3 [17]
The answer is 3.5 & 355 because the decimal shifts to the left or right, you move the decimal in the answer too.
4 0
3 years ago
Other questions:
  • PLZ ANSWER THIS IS FOR AN IMPORTANT TEST
    9·2 answers
  • Find the area of a square with the coordinates (-4,3),(-2,8)(3,6)(1,1)
    5·1 answer
  • Laticia randomly selected 25% of the seventh-grade students in her school an asked them their favorite season.Of the students su
    5·1 answer
  • Which expression is equivalent to log18 – log(p + 2)?
    9·2 answers
  • Enrique is finding 6.63 x 10^-6/5.1 x 10^-2. Circle his mistake and correct it.
    14·1 answer
  • Please help me ! ASAP. IF POSSIBLE
    8·2 answers
  • Es - Determine the equation for the function shown on the graph.
    6·1 answer
  • What is the area of a circle with a radius of 5
    13·2 answers
  • -8 + 5 ( 1 + x) = 2x - 20<br> multi step equation, please solve ill give brainliest (with steps)
    8·1 answer
  • Which expression is equwatem to (31 -91652-1 + 19)?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!