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
Paul [167]
3 years ago
5

Alex bar and Carl are brothers Alex is the oldest and Carl is the youngest the some of the ages of the three brothers is 42 Alex

his age is three more than twice Carl's age the difference between Barts in Carl's ages is seven years how old is each brother
Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

Alex = 19 years

Bart's = 15 years

Carl = 8 years

Step-by-step explanation:

Let us represent their ages as

Alex = x

Bart's = y

Carl = z

the sum of the ages of the three brothers is 42

x + y + z = 42

Alex his age is three more than twice Carl's age

x = 2z + 3

The difference between Barts in Carl's ages is seven years

y - z = 7

y = 7 + z

Hence: we Substitute

x + y + z = 42

2z + 3 + 7 + z + z = 42

Collect like terms

2z + z + z + 10 = 42

4z = 42 - 10

4z = 32

z = 32/4

z = 8 years

Hence, Carl = 8 years old

a) y = 7 + z

y = 7 + 8

y = 15 years.

Hence, Bart's is 15 years old

b)x = 2z + 3

x = 2(8) + 3

= 16 + 3

= 19 years

Therefore, Alex is 19 years old.

You might be interested in
$0.63 + _______ = $1.00*
Simora [160]
1-.63=.37. so $0.63+$0.37=$1.00
5 0
3 years ago
Read 2 more answers
Find the volume of each solid figure
Naddik [55]
Your answer is 270 hope this helps
3 0
3 years ago
How is 33 the answer to 6% of 550
NikAS [45]
Is  %
  =
of 100

x 6
 =
550 100
cross multiply and divide 

100x=3300
divide both sides by 100
x=33

6 0
3 years ago
Given that ∠S ≅ ∠A, and AB ≅ ST , what is the third congruence needed to prove that ΔABC ≅ ΔSTU by ASA?
Olenka [21]

Answer:

angle-side-angle. that's my answer

7 0
2 years ago
If a=(-1, -3) and b=(11, -8) what is the length of ab?
professor190 [17]

Answer: D.  The length is 13 units.

Step-by-step explanation:

(-1, -3 )    Find the difference between the x values and y values.

 (11, -8)  

-3-(-8) = 5

-1-11 =   -12    now find the  absolute values.

The absolute value of 5 is 5 .  The absolute value of  -12 is 12.

Now use the Pythagorean Theorem formula a^2 + b^2 =c^2  where c square is the length between AB.

5^2 + 13^2 = C^2

25 + 144 = c^2  

169=c^2

c= 13

8 0
3 years ago
Other questions:
  • Which system of equations has the same solution as the system below? 2x+2y=16 and 3x-y=4
    11·1 answer
  • Geometry question please help
    13·1 answer
  • Choose one of the factors of 27x^3 + 512y^3.
    8·1 answer
  • What is the fraction to this equation 0.020<br><br><br> Pls help fast.
    11·2 answers
  • What is the median of the data set below? 57, 21, 11, 35, 43, 19​
    10·2 answers
  • If mZDEC = (12x - 3), mZBCE =
    13·1 answer
  • Gina already owns 2 necklaces , and additional necklaces are priced at 1 for a dollar. How much money does Gina need to spend on
    7·2 answers
  • What is the scale factor of the dilation applied to Δ DEF to produce Δ D'E'F'? (Hint: Does it get bigger or smaller?
    6·1 answer
  • How do you make 8.25 a whole?<br>​
    8·1 answer
  • Solve the equation: 4x - 5 = 8 + 4x *13-130all real numbersno solution
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!