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
SCORPION-xisa [38]
2 years ago
5

Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte

rs as dimes. How many coins of each kind does she have?
nickels:
dimes:
quarters:
Mathematics
1 answer:
Ymorist [56]2 years ago
8 0

Answer:

Step-by-step explanation:

Write an equation for each statement:

:

"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

.05n + .1d + .25q = 15.75

:

"She has 10 more dimes than nickels"

d = n + 10

:

"twice as many quarters as dimes."

q = 2d

:

How many coins of each kind does she have?

:

Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

:

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

:

.05(d-10) + .1d + .25(2d) = 15.75

:

.05d - .5 + .1d + .5d = 15.75

:

.65d - .5 = 15.75

:

.65d = 15.75 + .5

:

.65d = 16.25

:

d = 16.25/.65

:

d = 25 dimes

:

Remember the statement "twice as many quarters as dimes."

q = 2(25)

q = 50 quarters

:

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

:

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

You might be interested in
Please give me the right answer. :)
rosijanka [135]

Answer:

174mm hope this helps Happy Saint Patrick's day

8 0
3 years ago
Read 2 more answers
Please help me find the length of EC
harina [27]

Answer:

15

Step-by-step explanation:

BD=AC

E is the midpoint of both lines, so BE=CE

6 0
3 years ago
Find the length of the third side. If necessary, round to the nearest tenth. 6 10
Pavlova-9 [17]
If you round, it’ll be 7,0
6 0
2 years ago
Sorry for the bother help plz
Zepler [3.9K]

(6a^2)^3

6^3(a^2)^3

216(a^2)^3

216a^6

Answer: 216a^6

3 0
3 years ago
Read 2 more answers
At a football game Jasmine bought a soft pretzel for $2.25 in a bottle of water for $1.50 she paid with a $5 bill how much thing
andrew11 [14]

Answer:

$1.25.

Step-by-step explanation:    

We have been given that at a football game Jasmine bought a soft pretzel for $2.25 in a bottle of water for $1.50 she paid with a $5 bill.

First of all let us find how much Jasmine spent on soft pretzel and water bottle by adding the cost of both items.

\text{Total amount spent on both items}=2.25+1.50

\text{Total amount spent on both items}=3.75

To find the amount that Jasmine will get as a change we will subtract the amount spent on both items from 5.

\text{Amount of change that Jasmine will get}=5-3.75

\text{Amount of change that Jasmine will get}=1.25

Therefore, Jasmine will get $1.25 back as change.

3 0
3 years ago
Other questions:
  • Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy
    11·1 answer
  • 1. Which integer expression is equivalent to the expression below? *<br> -4 + (-9)
    7·1 answer
  • A tower made of wooden blocks measures​ 114 feet high. Then a block is added that increases the height of the tower by 8 inches.
    8·1 answer
  • How many terms are in the expression shown below?
    5·2 answers
  • The graph shows your distance from home on a day trip to an apple farm which is 125
    9·1 answer
  • Janice has just bought a new pack of levels in her favorite game, Candy Crush. She knows that she can win a new level on the fir
    14·1 answer
  • I'M GIVING BRAINLIEST TO WHOEVER ANSWERS ALL OF THE QUESTIONS CORRECTLY! PLEASE HELP ME :D
    10·1 answer
  • Write an equation in slope-intercept form to represent the linear Relationships on the graph.
    8·1 answer
  • In a city, in 2011, 2,251 people were killed in motor vehicle crashes involving a distracted driver, compared to 3,715 in 2010.
    15·1 answer
  • Rút gọn câu sau <br> (a+b)^3 - ( a-b )^3 - 6a^2b
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!