Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?. . If the variable n represents the number of nickels, then which of the following expressions represents the number of quarters?. . . n/3. n. n + 3. 3n
2 answers:
The expression
that represents the number of quarters is <span>3n. </span>The correct answer
between all the choices given is the last choice. I am hoping that this answer
has satisfied your query and it will be able to help you, and if you would
like, feel free to ask another question.
Let
n-------> the number of nickels
q------> the number of quarters
we know that
so
----> equation A
----> equation B
substitute equation B in equation A
Find the value of q
therefore
<u>The answer part a) is</u>
the number of nickels are and the number of quarters are
<u>the answer Part b) is</u>
The expressions that represents the number of quarters is
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Answer:
x = 11
Step-by-step explanation:
3x - 5 = 2x + 6
Add 5 to each side:
3x = 2x + 11
subtract 2x from each side:
x = 11
Substitute to check:
3x - 5 = 2x + 6
3 ( 11 ) - 5 = 2 ( 11 ) + 6
33 - 5 = 22 + 6
28 = 28
Answer:
Step-by-step explanation: see attachment below
Answer:
b
Step-by-step explanation:
2x+3y=60 solve for x... x=(60-3y)/2 p=xy^3, using x from above: p=y^3(60-3y)/2 p=(60y^3-3y^4)/2 dp/dy=(180y^2-12y^3)/2 dp/dy=90y^2-6y^2 dp/dy=0 when: 90y^2-6y^3=0 6y^2(15-y)=0, we know y>0 so y=15, since x=(60-3y)/2 x=7.5 (We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
Answer:
{25/2,-25/2}
Step-by-step explanation: