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enyata [817]
3 years ago
6

Prove that given an unlimited supply of 6-cent coins, 10-cent coins, and 15-cent coins, one can make any amount of change larger

than 29 cents.
Mathematics
1 answer:
Andre45 [30]3 years ago
4 0

30¢ = 2×15¢

31¢ = 15¢ +10¢ +6¢

32¢ = 2×10¢ +2×6¢

33¢ = 15¢ +3×6¢

34¢ = 10¢ +4×6¢

35¢ = 15¢ +2×10¢

From this 6¢ range, any subsequent values can be reached by adding multiples of 6¢ to these numbers. For example, 36¢ = 2×15¢ +6¢.

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When you write a two column proof, the first thing in the reason column is always.....
Artemon [7]

The first thing in the reason column of a two colum proof is always GIVEN as it always coincide with an established fact which has been stated in the question to be worked on.

Two colum proofs involves using a tabulated format in establishing a conjecture.

Statements or facts are written on one side and the reason why the statement is true is stated in the reason column which is on the opposite side.

Starting a two column proof usually involve stating the the assumptions which are given about the shape or geometry.

Since each statement made requires a reason, then the reason behind the first statement which is based on what is stated in the question is written as GIVEN.

THEREFORE, after the statement given in the question has been established, then other reasons such as distributive, Commutative and other reasons may be used to proof one's solution statement.

Learn more :brainly.com/question/22172471

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2 years ago
A shop buys a pair of shoes for $50. They sell them for $60. What is the mark–up on the shoes?
mojhsa [17]

Answer:

The markup for the shoes is 20 percent.

Step-by-step explanation:

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3 years ago
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Suppose you are a climatologist. You conduct a hypothesis test to determine whether the global mean temperature in the current y
just olya [345]

Answer:

The term "El Nino" refers to the warming of the central and eastern tropical Pacific waters that occurs every 3 to 7 years and typically lasts from 9 to 12 months. The 1997-1998 El Nino, the strongest ever recorded, affected climate patterns worldwide. Its effect, combined with an increasing trend in annual global temperatures, made 1998 the warmest year in the 20th century. Suppose you are a climatologist. You conduct a hypothesis test to determine whether the global mean temperature in the current year is different from the global mean temperature in 1998. Assume that the global mean temperature in 1998 is 14.3 degrees Celsius. You obtain a preliminary sample of temperatures from recording stations worldwide, which yields a sample mean of x bar = 15.1 degrees Celsius. Let mu denote the global mean temperature in the current year. Formulate your null and alternative hypotheses by selecting the appropriate values in the blue drop-down menus that follow.

<h2><em>hope</em><em> it</em><em> helps</em><em> you</em></h2>

<em>sorry</em><em> </em><em>i</em><em>f </em><em>it's </em><em>not</em><em> </em><em>helpful</em><em> </em>

<em>have </em><em>a </em><em>good</em><em> day</em>

6 0
2 years ago
Find the greatest common factor of 7 and 21.
sertanlavr [38]

Answer: 7

Step-by-step explanation:

Factors of 7 are, 1, and 7. The factors of 21 are, 1, 3, 7, and 21, making 7 the gcf.

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3 years ago
The Midpoint of GH is M(4,-3). One endpoint is G(-2,2). Find the coordinates of endpoint H.
77julia77 [94]

Answer:

Step-by-step explanation:

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