Let’s make x = # of nickels. Then 3x = # of dimes and 3x+6 = # of pennies. A nickel is 5 cents, a dime is 10 cents and a penny is 1 cent.
The money she has should be .05(x) + .10(3x) + .01(3x+6) = 4.62 or to make it simpler: 5(x) + 10(3x) + 1(3x+6) = 462.
5x + 30x + 3x + 6 = 462
38x + 6 = 462
38x = 456
x = 12.
So she has 12 nickels (12 * $0.05 = $0.60), 36 dimes (36 * $0.10 = $3.60) and 42 pennies (42 * $0.01 = $0.42). $3.60 + $0.60 + $0.42 = $4.62.
Answer:
Step-by-step explanation:
Correlation means that two or more events happen together. They are related to one another by being caused by the same thing.
Causation has a definite order. The first event has some cause that is comes before the second event. One event caused the other.
Given:
Quadrilateral ABCD is inscribed in a circle P.
To find:
Which statement is necessarily true.
Solution:
Quadrilateral ABCD is inscribed in a circle P.
Therefore ABCD is a cyclic quadrilateral.
In cyclic quadrilateral, opposite angles form a supplementary angles.
⇒ m∠A + m∠C = 180° --------- (1)
⇒ m∠B + m∠D = 180° --------- (2)
By (1) and (2),
⇒ m∠A + m∠C = m∠B + m∠D
This statement is necessarily true for the quadrilateral ABCD in circle P.
Answer:
End result is ln(-x) + 1
Step-by-step explanation:
1, ln x + 2
2. ln(x + 2) + 2
3. ln(x + 2 - 2) + 2 = ln x + 2
4. ln x + 1
5. ln(-x) + 1
Red =18
blue=48
green=12
orange=?
red/blue =green/orange
so 18/48=12/orange
let orange = X and solve the equation
