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
ser-zykov [4K]
3 years ago
6

My pigg y bank has only pennies and nicklels in it , and 2/7 of the coins are nickel If i remove 84 pennies then 1/3 of the reme

ning are pennies 1} suppose there are initially p pennies and n nickels in the pigy bank write an equation using the fact that 2/7 of the coins initially in the
Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

Answer:

There are 105 pennies in the piggy bank.

There are 42 nickels in the piggy bank.

Step-by-step explanation:

there are:

p pennies in the piggy bank

n nickels in the piggy bank

Then we can define T, the total number of coins, as:

T = p + n

We know that 2/7 of the total number of coins are nickels.

This can be written as:

n = (2/7)*T = (2/7)*(n + p)

And if we remove 84 pennies, 1/3 of the remaining coins are pennies.

This can be written as:

p - 84 = (1/3)*(n + p - 84)

Then we have a system of two equations:

n = (2/7)*(n + p)

p - 84 = (1/3)*(n + p - 84)

Let's solve the system, to do it, we first need to isolate one of the variables in one of the equations.

We can isolate n in the first one, to get:

n = (2/7)*(n + p) = (2/7)*n + (2/7)*p

n - (2/7)*n = (2/7)*p

n*(5/7) = (2/7)*p

n = (7/5)*(2/7)*p = (2/5)*p

n = (2/5)*p

Now we can replace this in the other equation:

p - 84 = (1/3)*(n + p - 84)

p - 84 = (1/3)*( (2/5)*p + p - 84)

Let's solve this for p

p - 84 = (1/3)*( (7/5)*p - 84)

3*(p - 84) = (7/5)*p - 84

3p - 252 = (7/5)*p - 84

3*p - (7/5)*p = 252 - 84

(15/5)*p - (7/5)*p = 168

(8/5)*p = 168

p = (5/8)*168 = 105

There are 105 pennies in the piggy bank.

And we know that:

n = (2/5)*p = (2/5)*105 = 42

There are 42 nickels in the piggy bank.

You might be interested in
in a park, a bike path and a horse riding path are parallel. In one part of the park a hiking trail intersects the two paths. Fi
tatuchka [14]

Answer:

angle one

Step-by-step explanation:

4 0
3 years ago
A triangle has one 90-degree angle and one 38.7 - degree angle. What is the measure of the third angle?
tigry1 [53]
The answer is 51.3 degrees because you add 90+38.7=128.7
then you do 180-128.7 because this is a linear/ supplementary triangle which adds up to 180
and you get 51.3 degrees
4 0
3 years ago
3(a+1.5)=-1.5 <br> what value of a makes the equation true?
777dan777 [17]

Answer:

The answer is a= -2

Hope this helped :)

4 0
3 years ago
Value of x-y^x-y when x=2 and y=-2?​
Nonamiya [84]

Step-by-step explanation:

x-y^x-y

2-(-2)^2-(-2)

2-(-2)^2+2

2-(-2)^4

2-(16)

=-14

3 0
2 years ago
Please help. Will give Brainly!! 15 points!!!!
Elena-2011 [213]

Answer:

Please make it a bit bigger.

Step-by-step explanation:

I can't see it

3 0
2 years ago
Read 2 more answers
Other questions:
  • What value is added to both sides of the equation x2 − 4x = −2 in order to solve by completing the square? 4, 2 , −2 , −4
    5·1 answer
  • -24=2(x-4) What's X?
    15·2 answers
  • Given the statement "If a line is horizontal, then it has slope equal to zero,” what is its contrapositive? If a line is horizon
    6·2 answers
  • 231 m 31 cm -14 m 48cm
    11·2 answers
  • A rectangle has a length of 12 feet and a perimeter of 40 feet
    11·1 answer
  • 160 feet of lumber at $2.49 per foot
    10·1 answer
  • Find the quotient:
    5·2 answers
  • Select the correct graph of the equation.
    5·1 answer
  • Answer nyo po to...Ang hirap(;-;)....pls. Lang po
    13·1 answer
  • Alicia bought a notebook and several erasers at the student store. The graph shows the relationship between the total cost of he
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!