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
KiRa [710]
3 years ago
9

A coin bank that excepts only nickels and dimes contains $9.15. There are three more than twice as many nickels as there are dim

es. How many of each coin are in the bank?
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

45 dimes and 93 nickels were in bank

<em><u>Solution:</u></em>

Let "n" be the number of nickels

Let "d" be the number of dimes

We know that,

value of 1 nickel = $ 0.05

value of 1 dime = $ 0.10

<em><u>Given that There are three more than twice as many nickels as there are dimes</u></em>

Number of nickels = 3 + 2(number of dimes)

n = 3 + 2d ---- eqn 1

<em><u>Also given that coin bank that excepts only nickels and dimes contains $9.15</u></em>

number of nickels x value of 1 nickel + number of dimes x value of 1 dime = 9.15

n \times 0.05 + d \times 0.10 = 9.15

0.05n + 0.10d = 9.15  ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Substitute eqn 1 in eqn 2

0.05(3 + 2d) + 0.10d = 9.15

0.15 + 0.1d + 0.10d = 9.15

0.2d = 9

<h3>d = 45</h3>

From eqn 1

n = 3 + 2(45)

n = 3 + 90 = 93

<h3>n = 93</h3>

Thus 45 dimes and 93 nickels were in bank

You might be interested in
Find the value of two numbers is there some is 12 and there difference is 4
Mademuasel [1]
You mean their sum is 12?

A) x + y = 12
B) x -y = 4  then we add both equations:
2x = 16
x = 8
y = 4



3 0
3 years ago
Which of the below descriptions shows a possible HAMILTON PATH?
ra1l [238]

Option B: FECBAD represents the Hamilton path

Explanation:

The vertices in the given graph are A,B,C,D,E and F

We need to determine the Hamilton path of the given graph.

By definition, we know that a Hamilton path touches each and every vertex in a graph exactly once.

Hence, we need to connect the vertices in such a way that the graph touches each and every vertex exactly once.

Option A: EFADECBA

From this description, we can see that the path starts from the vertex E and connects all the vertices but some of the vertices are repeated twice.

Hence, the path EFADECBA is not a Hamilton path.

Therefore, Option A is not the correct answer.

Option B: FECBAD

From this description, we can see that the path starts from the vertex F and connects all the vertices exactly once.

Hence, the path FECBAD is the Hamilton path.

Therefore, Option B is the correct answer.

Option C: ADEFBC

From this description, we can see that the path starts from the vertex A and connects all the vertices but the path from F to B has to touch the vertex A. Thus, the vertices are repeated twice.

Hence, the path ADEFBC is not a Hamilton path.

Therefore, Option C is not the correct answer.

Option D: ADECBAFE

From this description, we can see that the path starts from the vertex A and connects all the vertices but some of the vertices are repeated twice.

Hence, the path ADECBAFE is not a Hamilton path.

Therefore, Option D is not the correct answer.

6 0
3 years ago
Please help i dont know if it is a or c
zepelin [54]

Answer:

it c

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Erica collected a total of $180 for her favorite charity over the first 3 months of the year. She collected the same amount in t
ankoles [38]
X+x+3x= 180
5x= 180
x= 36

3(36)= 108
Your answer is D. $108
4 0
3 years ago
Read 2 more answers
2x-7=117 what is the value of x
Tcecarenko [31]

2x - 7 = 117

Add 7 to both sides

7 + 2x - 7 = 117 + 7

At the left hand side 7 will cancel 7

At the right hand side 7 will add up

2x = 124

Divide through by 2

x =  \frac{124}{2}

simplify the fraction

x = 62

4 0
3 years ago
Other questions:
  • Write the equation in POINT-SLOPE FORM of the line that passes through the points (4, 0) and (-2, 1).
    5·1 answer
  • One hundred and eight divided by eight teen
    7·2 answers
  • Research question: Is the average body temperature of indoor cats different in the morning and evening?
    14·1 answer
  • Which segment is the image of AB when rotated 90° counterclockwise around point P?
    9·1 answer
  • Hey guys can someone help me with this you will earn 15 points plz it is for Tomorrow
    5·2 answers
  • Hillo help pls :) take as much time as needed but as soon as possible :D
    8·1 answer
  • Guysssss I'm struggling in mathh :( I need help
    10·2 answers
  • Read the following statements then decide if, when combined, they present a convincing argument. You may need to refer back to y
    6·1 answer
  • Hey here is my question. So if you have 20 legos and your sister has 10 legos how many more legos do you have than her? fr.ee po
    12·2 answers
  • One ride on a city bus costs $1.50. Martina has $18 on her bus pass.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!