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
Romashka-Z-Leto [24]
3 years ago
9

Mason has a collection of .49 stamps, .20 stamps and .3 stamps worth 23.55. He has 56 total .49 and .20 stamps and the number of

.3 stamps is nine more than the number of .20 stamps. How many of each does he have
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer: Mason has 40 forty-nine cent stamps, 16 twenty cent stamps and 25 three cent stamps

Step-by-step explanation:

Let x represent the number of 49 cent stamps that Mason has.

Let y represent the number of 20 cent stamps that Mason has.

Let z represent the number of 3 cent stamps that Mason has.

Mason has a collection of 49 cent stamps, 20 cent stamps, and 3 cent stamps worth $23.55. This means that

0.49x + 0.2y + 0.03z = 23.55 - - - - -1

He had 56 total 49 cent and 20 cent stamps. This means that

x + y = 56

x = 56 - y

The number of 3 cent stamps is nine more than the number of 20 cent stamps. This means that

z = y + 9

Substituting x = 56 - y and z = y + 9 into equation 1, it becomes

0.49(56 - y) + 0.2y + 0.03(y + 9) = 23.55

27.44 - 0.49y + 0.2y + 0.03y + 0.27 = 23.55

27.44 + 0.27 - 0.49y + 0.2y + 0.03y = 23.44

27.71 - 0.26y = 23.55

- 0.26y = 23.55 - 27.71

- 0.26y = - 4.16

y = - 4.16/ - 0.26y

y = 16

x = 56 - y = 56 - 16

x = 40

z = y + 9 = 16 + 9

z = 25

You might be interested in
Yo which set or sets does the Number 37 belong?
Tresset [83]
It is a whole number
3 0
3 years ago
In the right triangle above a=2.7 and b=4.3. Find the value of c, rounded to the nearest tenth
morpeh [17]

Answer:

  5.1

Step-by-step explanation:

Since there is no diagram provided here, we assume that c is the length of the hypotenuse, so we have ...

  c² = a² +b² . . . . . . Pythagorean theorem

  c² = 2.7² +4.3² = 25.78

  c = √25.78 ≈ 5.0774

  c ≈ 5.1

7 0
3 years ago
What is a-5/6= -3 2/3 + 5/6
valentinak56 [21]

Answer:

A=-2

Step-by-step explanation:

iekdkdkdkdkdkdkdkdkkdd

3 0
3 years ago
Describe the location of the point having the following coordinates.
alex41 [277]

Answer:

a graph can be divided into 4 quadrants.

a zero abscissa, means the point lies on the origin.

a negative ordinate means the point lies on the y axis in the third and fourth quadrants.

6 0
2 years ago
How many thirds in 10?
n200080 [17]
Its 30 . hope this helps u 
5 0
3 years ago
Other questions:
  • Introduction to Functions
    14·1 answer
  • Members of a baseball team raised $967.50 to go to a tournament. they rented a bus for $450.00 and budgeted $28.75 per player fo
    6·2 answers
  • Solve for x.<br> –4.5(x – 8.9) = 12.6<br> OVEC<br> Enter your answer, as a decimal, in the box.
    11·1 answer
  • A square pyramid with a base of 8 inches by 8 inches and a height of 6 inches.
    9·2 answers
  • Point P(−3, −4) is rotated 90° counterclockwise about the origin. What are the coordinates of its image after this transformatio
    14·2 answers
  • Is this correct?????
    6·1 answer
  • What size rectangular floor can be completely covered by using only 3 x 3 ft tiles OR 5 x 5 ft tiles? Remember, you cant cut ti
    11·1 answer
  • When constructing an inscribed polygon with a compass and straightedge, how should you start the construction?
    7·2 answers
  • Find the radius of Circle N.
    6·1 answer
  • The circumference of a circle is 6.28 meters. What is the circle's radius?<br> C = 6.28 m
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!