Solution:
As always, try to find a way of looking at the problem that makes the solution simple. In this problem, regardless of the current state of the puzzle, a move consists of combining two clusters into a single cluster. Therefore every move reduces the number of clusters by 1. Since we begin with 2000 clusters (the single pieces) and end with 1 cluster, we need
\[2000-1=\boxed{1999}\]
moves to complete the puzzle.
Answer:
Sample response: Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.
i took the test.
Answer: 12.07 ounce/gallon.
Step-by-step explanation:
given data:
desired ratio = 90grams / liter of water.
ratio In ounce/ gallon
first we convert our grams to ounce
= 98grams / 28.35
= 3.175 ounce.
converting liter to gallons
= 1/3.8
=0.263 gallons
therefore;
= 3.175 ounce / 0.263 gallons
= 12.07 ounce/gallon.
Solution:
x y ║ z w→→Given
Also, x z is a transversal, that intercepts x y and z w.
So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.
Also, v is point of intersection of x z and y w.
∠ x v y ≅ ∠ z v w→→[ Vertically opposite angles]
So,→→ Δ x y v ~ Δ z w v⇒⇒[Angle-Angle Similarity]
If Victoria puts 200 dollars a savings account she will earn 1.05 for x amount of time.<span>
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