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
Rom4ik [11]
1 year ago
6

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps. Two times Johan’s collectio

n is eleven less than five times John’s collection, and three times Jonathan’s collection is three less than seven times John’s collection.
Mathematics
1 answer:
MrRissso [65]1 year ago
6 0

The number of postage stamps in John’s collection is 27.

We have given that,

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps.

<h3>What is an elimination method?</h3>

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.

Johan and Jonathan have the same number of stamps.

Let x be the Johan and Jonathan postal stamps.

Let y be the John postal stamps.

Two times Johan’s collection is eleven less than five times John’s collection.

2x = 5y - 11............(1)

Three times Jonathan’s collection is three less than seven times John’s collection.

3x = 7y - 3............(2)

Multiply equation 1 with 3

3(2x = 5y - 11)

⇒ 6x = 15y - 33.........(3)

Multiply equation 2 with 2

2(3x = 7y - 3)

⇒ 6x = 14y - 6.............(4)

Subtract equation 4 from equation 3

⇒ 6x - 6x = 15y - 33 - (14y - 6)

⇒ 0 = y - 27

⇒ y = 27

Hence, the number of postage stamps in John’s collection is 27.

Find more information about the elimination method here

brainly.com/question/13877817

#SPJ1

You might be interested in
$10,000 for 20 years at 5% compounded annually
saveliy_v [14]

Answer:

$26532.98

Step-by-step explanation:

<u>Given:</u>

  • Principal = $10000
  • Profit rate = 5% PA compounded
  • Time = 20 years
  • Compounds = 20*1 = 20

<u>Sum is:</u>

  • 10000*(1 + 5/100)²⁰ ≈ 26532.98
3 0
3 years ago
Which of the following values are in the range of the function graphed below?
Dafna1 [17]

Answer:

A. 1

Step-by-step explanation:

I see only one red function line in the graph. this line represents the simple function y = 1, for x in the interval [-2,1].

the domain of a function defines the possible values for x, and the range of a function defined the possible values for y.

this function has only one possible value for y : 1

so, only A applies.

5 0
3 years ago
Which of the following is defined by a line parallel to one side of a triangle
Katarina [22]

Answer:

Triangle Proportionality Theorem is  defined by a line parallel to one side of a triangle  divides the other two sides proportionally.

Step-by-step explanation:

Triangular Proportionality Theorem states that:

  • If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

Let us consider the triangle ΔABC as shown in attached figure.

If

DE║AC

then

\frac{BD}{DA} = \frac{BE}{EC}

Therefore, Triangle Proportionality Theorem is  defined by a line parallel to one side of a triangle  divides the other two sides proportionally.

Keywords: Triangle Proportionality Theorem, triangle, line segment

Learn more about Triangle Proportionality Theorem from brainly.com/question/11827486

#learnwithBrainly

3 0
3 years ago
Solve the following system of equations:<br> y = 4x - 6<br> 5x - 4y = -9
antoniya [11.8K]

Answer:

(X=Y)=(3,6)

Step-by-step explanation:

5x-4(4x-6)=-9

x=3

y=4x3-6

y=6

5 0
3 years ago
Read 2 more answers
The circumference of a circular region is shown what type of number best describes the diameter of the circle? Explain
suter [353]

diameter (d) = 2 · r

Circumference (C) = 2 π · r → C = π · d → d = \frac{C}{\pi}

7 0
3 years ago
Other questions:
  • Amanda is studying relationships between the values and ages of different items. She decides to ask teachers at her school to es
    12·1 answer
  • Is 96 fl oz larger than 8 pt?
    13·1 answer
  • Choose the correct description of the graph of the compound inequality : x - 1 &lt; 12 or 2x &gt; 30.
    14·1 answer
  • The board of directors of a company knows that the probability that the carbon emission from the company’s manufacturing unit is
    11·2 answers
  • The video game Fortnite uses a process called skills- based matchmaking to create games where the people in a match are about ev
    15·1 answer
  • What is the rate of change of y = 1/2x
    13·2 answers
  • Yesterday, Mary had n baseball cards. Today, she gave 18 away. Using n , write an expression for the number of cards Mary has le
    15·1 answer
  • Use the graph to complete the statements
    6·1 answer
  • Please help ASAP!!! Find the area of the triangle.
    7·1 answer
  • How do you factorise 2k + 10ak
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!