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
svlad2 [7]
3 years ago
9

Arthur can throw a ball twice as far as Beatrice. Beatrice can throw a ball one-third as far as Cory. Cory can throw a ball twic

e as far as Dominick. What is the ratio of the distance of Arthur's throw to Dominicks throw? Detailed answer please!
Mathematics
1 answer:
sdas [7]3 years ago
3 0

Answer:

A : D

4 : 3

Step-by-step explanation:

We'll use the first letter of their names as the heading for the ratio.

The first line states:

A : B

2 : 1

The second line states:

B : C

1/3 : 1

The third line states:

C : D

2 : 1

We have three different ratios but we know that they are related to one another so we are going to combine them by equating the common ratio of the different ratios.

Let's look at the ratio with a fraction first.

B : C

1/3 : 1

If we ×3 throughout, this can also be written as:

B : C

1 : 3

Now B in the first and second ratio is the same number and we are able to combine them. We can write them all together like this:

A : B : C

2 : 1 : 3

In the third ratio, C is 2, however in the ratio we have now C is 3. We can make them the same number by ×3 throughout the third ratio and ×2 throughout the ratio we have now.

C : D

2 : 1

6 : 3

A : B : C

2 : 1 : 3

4 : 2 : 6

We can see that our ratio for C is the same number and we can now combine the ratios.

A : B : C : D

4 : 2 : 6 : 3

The question asked for A : D so we can take just the values of A and D.

A : D

4 : 3

I hope this helps :)

You might be interested in
Suzanne has a student loan balance of $25,904 with an average interest rate of 6.8 percent. Use the student loan repayment calcu
Alex_Xolod [135]

Since the problem is requiring us to use the loan repayment calculator and here is what the calculator gave:


Loan Balance: $25,506.00


Adjusted Loan Balance: $25,506.00


Loan Interest Rate: 6.80%


Loan Fees: 0.00%


Loan Term: 10 years


Minimum Payment: $0.00


Monthly Loan Payment: $293.52


Number of Payments: 120 months


Cumulative Payments: $35,223.07


Total Interest Paid: $9,717.07


It is projected that you will need an annual salary of a minimum $35,222.40 to be capable to have enough money to repay this loan. This approximation assumes that 10% of your gross monthly income will be keen to repaying your student loans. This resembles to a debt-to-income ratio of 0.7. If you use 15% of your gross monthly income to repay the loan, you will need an annual salary of only $23,481.60, but you may experience some financial difficulty. This corresponds to a debt-to-income ratio of 1.1.


8 0
3 years ago
Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years.
marysya [2.9K]
Victoria is 9. Her neighbor is 5.
7 0
3 years ago
What fraction of a pound is each ingredient meat 0.35, vegetables 0.15, sauce 0.05, bread 0.05
alexira [117]
Meat =35/100
vegetables =15/100
sauce =5/100
bread =5/100
6 0
3 years ago
Read 2 more answers
Solve thid equation 6x = -12
Delvig [45]
6x = -12
6x/6 = -12/6
x = -2
8 0
3 years ago
Read 2 more answers
Consider the equations 3x+2=14 and 2+3x=14 <br>Do they have the same solution? Why or why not?
mixer [17]
Yes, on the left side you are adding 3x+2 in one and 2+3x in the other. these add to the same number because addition is Commutative on the real numbers.
7 0
3 years ago
Other questions:
  • Two over three n equal thirty two
    12·1 answer
  • Plz help me with dis its one question
    14·1 answer
  • What is the measure of an exterior angle of a regular 36-gon
    14·2 answers
  • Pls help lol eeeeeeeeee :D :D
    8·2 answers
  • Solve for x and state the measure of the angles with an x in them
    5·2 answers
  • Elsa, Keith, and Lamar sent a total of 68 text messages during the weekend. Keith sent 8 more messages than Elsa. Lamar sent 2 t
    10·1 answer
  • Is the point (2,4) a solution of y &lt;= -4x + 12?<br> HELP ASAP
    6·1 answer
  • There are 25 desks in a classroom. Each desktop is the same as the one shown below. What is the total area of all of the desktop
    9·1 answer
  • Solve the equation. Check the equation. 4h + 1/3 = 3/4
    10·1 answer
  • Figure 1 is similar to figure 2. What is TS?<br>1 unit<br>4 units<br>8 units<br>2 units​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!