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
Monica [59]
3 years ago
7

Jessica has 48 coins, some of them are nickels and some are dimes. How many of each does she have if she has $3.25 total? 69 POI

NTS
jk lol
Mathematics
2 answers:
Akimi4 [234]3 years ago
8 0

Answer:

31 nickels and 17 dimes.

Step-by-step explanation:

Le d represent number of dimes and n represent number of nickels.

We have been given that Jessica has 48 coins, some of them are nickels and some are dimes. We can represent this information in an equation as:

d+n=48...(1)

The coins are worth $3.25. We can represent this information in an equation as:

0.10d+0.05n=3.25...(2)

Form equation (1) we will get,

d=48-n

Substituting this value in equation (2) we will get,

0.10(48-n)+0.05n=3.25

4.8-0.10n+0.05n=3.25

4.8-0.05n=3.25

4.8-4.8-0.05n=3.25-4.8

-0.05n=-1.55

\frac{-0.05n}{-0.05}=\frac{-1.55}{-0.05}

n=31

Therefore, Jessica has 31 nickels.

Substituting n=31 in equation (1) we will get,

d+31=48

d+31-31=48-31

d=17

Therefore, Jessica has 17 dimes.

Mrrafil [7]3 years ago
6 0

<u>Answer:</u>

Nickels = 44.6

Dimes = 3.4

<u>Step-by-step explanation:</u>

We know that Jessica has 48 coins of which some are nickels and some are dimes so we can write it as:

n = amount of nickels

d = amount of dimes

n+d=48 --- (1)

We are to find the number of nickels and dimes if their total worth is $3.25.

Since a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.3d = 3.25 --- (2)

From (1):

n=48-d

Substituting this value of n in (2) to get:

0.05(48-d) + 0.3d = 3.25

2.4-0.05d+0.3d=3.25

2.4+0.25d=3.25

0.25d=0.85

d=3.4

Finding n by substituting the value of d:

n=48-d

n=48-3.4

n=44.6

You might be interested in
Chris runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?
Nataly_w [17]
You could either find how far Chris can run in 60 minutes, or write an equation of ratios:

    x            35 min
--------- = --------------
 6 mi          50 min

Solving for x:  50x = 210;     x = 4.2 miles (answer)
4 0
3 years ago
Use the dot plot to identify the 1st Quartile, 3rd Quartile and IQR.
nignag [31]

if two mind readers read each others mind... who's mind are they reading?

4 0
3 years ago
What is the value of the expression 6x - y when x = 3 and y = 1? (5 points)
Vladimir [108]

Answer:

the answer is 17

Step-by-step explanation:

6×3-1

= 17

6 0
3 years ago
An investment firm wants to create a billboard that displays an enlarged $1,000,000 bill. The actual size of the bill is 2.61 in
Mandarinka [93]

We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.

We know both data, then we perform the operation:

48 feet /6.14 inches = 7.81 feet / inches .


Therefore the correct answer is option D. 1″ = 7.81′

For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.

3 0
3 years ago
Darell buys a model railroad set online for $224.62. If shipping and handling are an additional 16% of the price, how much shipp
Serggg [28]
35.94
Sisieiekenducnfht hdendyc ok
6 0
3 years ago
Other questions:
  • Ok,so on the number of snacks side of the table I know it’s adding three to each number but on the side of the table where it sa
    9·1 answer
  • Hey , I need help with this question
    9·1 answer
  • Given the function f(x) = The quantity of 2x minus 5, divided by 3 , which of the below expressions is correct? (1 point) f−1(x)
    10·1 answer
  • Solve for x X+10y=1550
    15·2 answers
  • Pleaseeeeeeeeeee help meeeeeeeeee
    15·1 answer
  • A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions of the globe were reduced by hal
    7·2 answers
  • Find the midpoint of the segment with the following endpoints.<br> (-3,5) and (0, -1)
    9·1 answer
  • What is the slope of the line between (5,10) (3,15)
    7·1 answer
  • the area of a triangle is 24 square centimeters. If the base of this triangle is 8 centimeters , find the number of centimeters
    12·1 answer
  • Given points A(−2,0), B(−5,3), C(−9,−1), P(7,6), Q(4,0), and R(−4,4), which of the following proves that △ABC~△PQR?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!