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
SpyIntel [72]
3 years ago
13

John, David, and Hank are brothers who's ages add to 114 years. John is 10 years older than half of Hank's age, while Hank is 6

years older than David. What are John, David, and Hanks ages?
Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0

Answer:

The answer to your question is:

Hank = 44

John = 32

David = 38

Step-by-step explanation:

Data

John = J

David = D

Hank = H

J + D + H = 114

J = H/2 + 10

H = D + 6

Process

Write the three equations in terms of H

   

Substitution

             

                          H/2 + 10 + H - 6 + H = 114

Times 2              H + 20 + 2H - 12 + 2H = 228

                          5H + 8 = 228

                          5H = 228 - 8

                          5H = 220

                          H = 220 / 5

                          H = 44            Hank = 44 years

                    J = 44/2 + 10

                   J = 22 + 10

                   J = 32                 John = 32 years

                       

                          D = 44 - 6

                          D = 38           David = 38 years

                       

You might be interested in
How do you find the bearing and speed of a ship?
Usimov [2.4K]
Finding the Bearing<span> of a </span>Ship<span> 
Example : A </span>ship<span> leaves the port of Miami with a </span>bearing<span> of S80◦E and a </span>speed<span> of. 15 knots. After 1 hour, the </span>ship<span> turns 90◦ toward the south.</span>
3 0
4 years ago
Which type of function is shown in the table<br> below?
Inessa [10]

Answer:

Not a function

Step-by-step explanation:

Since 2 different points have the same x-coordinte, the relation is not a function.

8 0
2 years ago
What is 2 × 5 – 10 ÷ 2?
morpeh [17]

Answer:

(2 x 5) - (10 ÷ 2)

10 - 5

5

5 is the answer

5 0
3 years ago
Read 2 more answers
A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will
garik1379 [7]

Answer:

35\% represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 947

   The proportion of the population that believes that the Yankees will miss the playoffs this year is    k = 35\% = 0.35

From the question we are told the confidence level is  97%

   The lower limit of the confidence level is a = 28%

    The upper limit of the  b = 42%

Generally the sample proportion of this population is mathematically represented as

         \^ p = \frac{a+ b}{2}

=>      \^ p = \frac{28 + 42 }{2}

=>      \^ p = 35\%

Hence  35\% represents the sample proportion

8 0
3 years ago
Simplify.<br><br>1 – 2u + u + 4​
liq [111]

Answer:

-u+5

Step-by-step explanation:

plz mark as brainliest

5 0
3 years ago
Read 2 more answers
Other questions:
  • If line AB = 3 centimeters, and line BC = 4 centimeters, which does line AC equal?
    12·1 answer
  • Which number shows 8.356 rounded to the nearest hundredth??????What is the answer??
    7·2 answers
  • Benjamin bought 12 goldfish. Each goldfish cost $0.98. How much did Benjamin spend?
    11·2 answers
  • A rectangle and a triangle have equal areas. The length and width of the rectangle are 24 cm and 8 cm respectively. If the base
    15·1 answer
  • Find the taylor polynomial t3(x) for the function f centered at the number
    11·1 answer
  • After a researcher adds 5 points to every score in a sample, the standard deviation is found to be s = 10. the original sample h
    10·1 answer
  • Solve for x: three halves plus one half times x equals two x need answer plz:(
    5·2 answers
  • from an observer o, the angles of elevation of the bottom and the top of a flagpole are 40° and 45° respectively.find the height
    10·1 answer
  • Multiply. Write your answer in scientific notation. (2 x 10^7) (1 x 10^7)
    8·1 answer
  • Shane took out a 5.5 year loan from the bank in order to purchase a $12,000 motorcycle at the end of the loan he had paid $3267
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!