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
Lunna [17]
2 years ago
5

A collection of five coins has a value of $1 and consists of dimes and

Mathematics
1 answer:
DENIUS [597]2 years ago
4 0

For this case we propose a system of equations. We have to:

x: Let the variable that represents the number of dimes

y: Let the variable that represents the number of quaters

We know that:

One dime equals 10 cents, $0.10

A quater equals 0.25 cents, $0.25

According to the statement we have:

x + y = 5\\0.10x + 0.25y = 1

We multiply the first equation by -0.10:

-0.10x-0.10y = -0.5

We have the following equivalent system:

-0.10x-0.10y = -0.5\\0.10x + 0.25y = 1

We add the equations:

-0.10x + 0.10x-010y + 0.25y = -0.5 + 1\\0.15y = 0.5\\y = \frac {0.5}{0.15}\\y = 3.33

Approximately 3 quater coins

x = 5-y = 5-3 = 2

And two dimes

Answer:

3 quater

2 dimes

You might be interested in
Identify the polynomial.
Alexxandr [17]

Answer:

it's a trinomial

7 0
2 years ago
How far from the base of the house do you need to place a 15’ ladder so that it exactly reaches the top of a 12’ wall?
FromTheMoon [43]

Answer:

3' away

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What is the center of the circle described by the equation (x - 2)^2 +(y + 7)^2 =169
Marizza181 [45]

Answer:

The center is (2, -7)

Step-by-step explanation:

A circle is given by

(x-h)^2 + (y-k)^2 = r^2

where(h,k) is the center and r is the radius

(x - 2)^2 +(y + 7)^2 =169

(x - 2)^2 +(y -  -7)^2 =13^2

The center is (2, -7) and the radius is 13

4 0
2 years ago
Mr. Donahue is building a patio in his backyard he wants the patio to cover 1/4 of the yard Mister Donahue wants to know the are
krok68 [10]

Answer:

36 square feet

Step-by-step explanation:

area of the yard: 12×12=144

patio should be 1/4 of the yard, so 144:4=36 is the area of the patio

5 0
2 years ago
Can anyone see the picture? If so, please help me with 13. If you can't see the picture I'll text out the question.
ioda
$1,400 because 40*40= 1600 and 3000-1600= 1400

hope this helped :)
7 0
3 years ago
Other questions:
  • HELP WORTH 25 POINTS question:
    7·1 answer
  • How do you workout this question?
    14·2 answers
  • How do i solve this?
    8·1 answer
  • Which data set has an outlier? 25, 36, 44, 51, 62, 77 3, 3, 3, 7, 9, 9, 10, 14 8, 17, 18, 20, 20, 21, 23, 26, 31, 39 63, 65, 66,
    10·2 answers
  • in a bag of keys there are 14 silver keys, 6 black keys , 10 copper keys and 2 painted keys of various colors. one key is drawn
    11·1 answer
  • Round 5,685 to the nearest 100
    5·2 answers
  • 2. Therefore the smallest class boundary number is: 3. What is the largest number?​
    9·1 answer
  • Write the shaded region of the model as a percent.
    13·2 answers
  • What is 15/20 simplest form
    5·1 answer
  • Which expression is equivalent to (3a)–2?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!