Answer:
Lulu has 14 quarters and 6 dimes
Step-by-step explanation:
Let x be the number of dimes and y the number of quarters. The sum of quarters and dime is 20 coins. Then:
x + y = 20
We also know that the value of each dime is $ 0.10 and the value of each quarter is $0.25. The total value of the coins is $4.10. Then, the number of dimes times 0.10 plus the number of quarters times 0.25 will be 4.10:
0.10x + 0.25y = 4.10
So, we have a system of 2 equations and 2 unknowns:
x + y = 20
0.10x + 0.25y = 4.10
Let´s solve the first equation for y:
x + y = 20
subtract x from both sides
y = 20 - x
And now let´s replace y in the second equation:
0.10x + 0.25(20 - x) = 4.10
Apply distributive property
0.10x + 5 - 0.25x = 4.10
subtract 5 from both sides of the equation
-0.15x = -0.9
Divide by -0.15 both sides of the equation
x = 6
Now let´s calculate y:
y = 20 - x
y = 20 - 6 = 14
Lulu has 14 quarters and 6 dimes
Answer: There are 85 Helena's client own stocks, bonds and mutual funds.
Step-by-step explanation:
Since we have given that
Let A: who own stocks
B : who own bonds
C : who own mutual fund
So, According to question,
n(A) = 288
n(B) = 200
n(C) = 184
n(A∩B) = 123
n(B∩C) = 106
n( A∩C) = 102
n(A∪B∪C) = 426
As we know the formula :
Hence, there are 85 Helena's client own stocks, bonds and mutual funds.
Answer:
An inverse operation is two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality. This gives us a couple of properties that hold true for all equations.
Answer:
Its b
Step-by-step explanation:
490 please trust me
3.
Since you know that you can easily split 4 to get to 2, just split the top as well.
4.
Since you could divide the top by the bottom since numbers already have a denominator of 1.
5.
Then multiply by 10.
Tell me if this helps!!!