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
HURRY PLEASE. 90 POINTS!! Find –(–8). –18, –8, 0, 8
kolbaska11 [484]
What do you mean by find those numbers?
3 0
3 years ago
Read 2 more answers
A scale on a map shows that 2 inches = 25 miles.
Simora [160]
A:
2 inches - 25 miles
x inches - 60 miles

Set up a proportion:
\frac{2}{25} = \frac{x}{60} \\ \\
\frac{2}{25} \times 60=x  \\ \\
\frac{120}{25}=x \\ \\
x=4.8

4.8 inches on the map represent 60 miles.

B:
2 inches - 25 miles
1/4 inches - x miles

Set up a proportion:
\frac{2}{25}=\frac{\frac{1}{4}}{x} \\ \\
\frac{2}{25}x=\frac{1}{4} \\ \\
x=\frac{1}{4} \times \frac{25}{2} \\ \\
x=\frac{25}{8} \\ \\
x=3.125

3.125 miles are represented by 1/4 inches on the map.
4 0
3 years ago
Read 2 more answers
How can I use measuring tools to find capacity?
Finger [1]

When measuring the weight or mass of a small object, you can use a scale or a balance. You can use a scale to measure ounces and pounds. When measuring units of capacity in cooking, you can use measuring cups and measuring spoons.

6 0
3 years ago
Relationship A has a lesser rate than Relationship B. This table represents Relationship B.
Nana76 [90]
<span>B. 18.6x

D. 18.1x

A. 18.3x
Tell me if i'm wrong</span>
8 0
3 years ago
Read 2 more answers
If f(x) = -3x + 8, find f(5)
Artyom0805 [142]

Answer:

f(5) = -7

Step-by-step explanation:

If f(x) = -3x + 8, find f(5)

Just plug in x = 5 into the function

f(5) = -3(5)  + 8

f(5) = -15 + 8

f(5) = -7

5 0
3 years ago
Other questions:
  • Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults t
    11·1 answer
  • The ratio of girls to boys in 6th grade is 3:4. If there are 182 6th graders, how many are girls
    8·2 answers
  • Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 bab
    12·1 answer
  • Helllllllllllpppppppppppppppppp
    6·1 answer
  • What is the solution for 13.2 = t 4.4? I'm super like spazzed out right now and can't think.
    5·1 answer
  • Express 230 in scientific notation
    10·2 answers
  • Find that median 169, 72, 161, 322, 56, 145, 64,64, 80, 288, 95, 97, 209,209,48
    10·2 answers
  • What is the slope of this line select 1 answer
    11·1 answer
  • Help please if you can
    5·2 answers
  • Find the value of x in the rectangle below.​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!