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
adell [148]
3 years ago
7

Collection of nickels and quarters is worth $2.85. There are three more nickels and quarters. How many nickels and quarters are

there?
Mathematics
1 answer:
alexdok [17]3 years ago
3 0

The pile contains 12 nickels and 9 quarters.

Let <em>x</em> = the number of nickels and <em>y</em> = the number of quarters.

Then, we have two equations:

(1) $0.05x + $0.25y  = $2.85

(2) x = y +3

Substitute the value of <em>x</em> from Equation (2) into Equation (1).

0.05(<em>y</em>+3) + 0.25<em>y</em> = 2.85

0.05<em>y</em> + 0.15 + 0.25<em>y</em> = 2.85

0.30<em>y</em> = 2.85 – 0.15 = 2.70

y = 2.70/0.30 = 9

Substitute the value of <em>y</em> in Equation (2).

x = 9 + 3 = 12

The pile contains 12 nickels and 9 quarters.

<em>Check</em>: 12×$0.05 + 9×$0.25 = $0.60 + $2.25 = $2.85.

You might be interested in
. Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4
nikdorinn [45]

Answer:

.Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6​

Step-by-step explanation:

.Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6​

6 0
2 years ago
WILL GIVE BRAINLIEST IF ANSWERED NOW
iren [92.7K]

Answer:

y=3x-7

Step-by-step explanation:

lines are parallel hence gradient from the equation in question is the same as the gradient of the equation to be found.. comparing to y=mx+c, eq in question has grad 3... from the formula y-y1=m(x-x1) where (x1,y1) is equal to the point in question

5 0
3 years ago
Whats nine and eight four hundredths in standard from
Nookie1986 [14]
Do you mean 'nine and eighty four hundredths' in standard form? If so, it will be:

9.84
7 0
3 years ago
What is the total probability of rolling a single die twice, and having it land on 3 the
Shtirlitz [24]

Answer:

0,5*0,5=0,25

Step-by-step explanation:

assuming a die of 6 faces

25

0,5 for < 4; 0,5 for < 3

5 0
2 years ago
PLEASE HELP!!!
Scilla [17]
You need the Law of Cosines here and you use it when you have 2 sides and an enclosed angle.  The side across from the angle is the one we are looking for.  The correct way to express the Law using what we have is the last choice above.  Side RT is the unknown, and it is across from the angle that is enclosed between the 2 other sides.
3 0
3 years ago
Other questions:
  • I need to know how you can solve it
    7·1 answer
  • sam has 24 muffins,which need to be split into dozens. 8 of the muffins are blueberry. how many boxes does he need?
    5·1 answer
  • How does a change in demand relate to a demand curve
    7·1 answer
  • Please help me mane fr
    10·1 answer
  • WILL GIVE BRAINLIST PLEASE HELP ​
    5·1 answer
  • In the first stage of cellular respiration, very little energy is released. <br><br> True or False?
    15·1 answer
  • I'm really getting tired of the questions like these lol
    9·1 answer
  • If you roll a standard die, what is P(6) ? (probability of rolling a 6)
    7·2 answers
  • Find the distance between y = -4x + 5 and y= -4x + 7. Round your answer to the nearest tenth
    12·1 answer
  • Helpppppp pl for 5 point​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!