We are given
piggy bank has nickels , dimes and quarters
Let's assume
number of nickels =n
every two nickels there are 3 dimes
so, number of dimes are
every two dimes that are 5 quarters there
so, number of quarters are
so, total number of coins = number of nickels + number of dimes +number of quarters
total number of coins =n+1.5n+3.75
there are 500 coins
so, we get
now, we can solve for n
divide both sides by 6.25
so, we get
number of dimes is 1.5n
number of quarters is 3.75n
so,
Number of nickels =80
Number of dimes =120
Number of quarters =300............Answer
Answer:
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
Step-by-step explanation:
Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.
Two algebraic expressions are said to be equivalent if their values obtained by substituting any values of the variables are same.
Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,
3f + 2.6 = 3.1 + 2.6 = 3 + 2.6 = 5.6
2f + 2.6 = 2.1 + 2.6 = 2 + 2.6 = 4.6
5.6 = 4.6
Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.
3f + 2.6 = 2f + 2.6
3f = 2f
3f - 2f = 0
f = 0
This is true only when f=0.
Hence,
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
Answer:
12-5.5=h
12-5.5=6.5
Kyle needs to volunteer 6.5 more hours.
Step-by-step explanation:
(cosx)(cscx) = cotx
cscx = 1/sinx
(cosx)(1/sinx) = (cosx/sinx)
cosx/sinx = cotx
Basically, I noticed that cscx is equivalent to 1 divided by sinx, and then multiplied that fraction by cosx, which got me cosx/sinx. Your quotient identities will tell you that cosx/sinx = cotx
