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Which expression represents the algebraic phrase “nine times a number plus thirteen”? A. 9 – y + 13 B. 9 + y – 13 C. 9y + 13 D. 13y + 9

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Answer:  The correct option is (C) 9y + 13.

Step-by-step explanation:  We are given to select the expression that represents the following statement :

“nine times a number plus thirteen”

Let the number be represented by y.

Then, nine times the number is written as follows :

9times y=9y.

Since we are to add 13, so the final expression is given by

E=9y+13.

Thus, the required expression is 9y+13.

Option (C) is CORRECT.

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Thirteen is what percent of 15?

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Thirteen is what percent of 15?
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My grandfather, who lost his short-term memory sometime during the first Eisenhower Administration, calls me into his study because he wants to tell me the story he’s never told anybody before again. . . . My grandfather slams the door and motions me to the chair in front of his desk. I’ll be thirteen in two weeks. “There’s something I want to tell you, son,” he says. “Something I’ve never told anybody. You think you’re ready? You think you’ve got the gumption?” “I think so.” “Think so?” “I know so, sir. I know I’ve got the gumption.” . . . “It was late,” he says. “Someone knocked on my stateroom door. I leaped up. In those days I slept in uniform—shoes, too.” My grandfather smiles. His face is so perfectly round that his smile looks like a gash in a basketball. I smile back. “Don’t smile,” he says. “Just because I’m smiling, don’t assume I couldn’t kill you right now. Know that about a man.” Source: Orner, Peter. “The Raft.” The Atlantic Online. The Atlantic Monthly Company, Apr. 2000. Web. 10 May 2011. Which point of view does the text use?

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My grandfather, who lost his short-term memory sometime during the first Eisenhower Administration, calls me into his study because he wants to tell me the story he’s never told anybody before again. . . . My grandfather slams the door and motions me to the chair in front of his desk. I’ll be thirteen in two weeks. “There’s something I want to tell you, son,” he says. “Something I’ve never told anybody. You think you’re ready? You think you’ve got the gumption?” “I think so.” “Think so?” “I know so, sir. I know I’ve got the gumption.” . . . “It was late,” he says. “Someone knocked on my stateroom door. I leaped up. In those days I slept in uniform—shoes, too.” My grandfather smiles. His face is so perfectly round that his smile looks like a gash in a basketball. I smile back. “Don’t smile,” he says. “Just because I’m smiling, don’t assume I couldn’t kill you right now. Know that about a man.” Source: Orner, Peter. “The Raft.” The Atlantic Online. The Atlantic Monthly Company, Apr. 2000. Web. 10 May 2011. Which point of view does the text use?

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What is the probability of drawing a spade from a standard deck of cards on a second draw, given that a spade was drawn on the first draw and not replaced? twelve over fifty one one over fifty two one over fifty one thirteen over fifty two?

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Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=  x+y=84.8 …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

H^2=P^2+B^2

(44.8)^2=x^2+z^2  ………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

H^2=P^2+B^2

(72)^2=y^2+z^2 …………[3]

Subtract [2] and [3]

(72)^2-(44.8)^2=y^2+z^2-x^2-z^2

5184-2007.04=(x+y)(x-y)

3176.96=(84.8)(x-y)

37.464=x-y ……….[4]

Add equation [1] and [4], to get values of x and y

x+y+x-y=84.8+37.464

2x=122.264

x=61.132

Substitute x in [1]

x+y=84.8

61.132+y=84.8

y=23.668

Substitute value of x in equation [2], to get z

(44.8)^2=x^2+z^2

(44.8)^2=(23.668)^2+z^2

2007.04-560.174224=z^2

z=sqrt{1446.865776}

z=38.06

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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The Thirteen original colonies – AnswersMine

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The original OPEC members of the chart were Saudi Arabia, Venezuela and Kuwait, which founded the Organization of the Petroleum Exporting Countries along with Iran and Iraq on September 1960.

OPEC can have a great influence on the oil market, especially if it decides to reduce or increase its production level. 43% of world’s oil production and 81% of world’s oil reserves are in member countries.

OPEC also concentrates all the necessary capacity for oil production in the world, which, de facto, converts the Organization of the Petroleum Exporting Countries into the central bank of the oil market.

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The original thirteen colonies are what type of geographical area

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The original thirteen colonies are what type of geographical area

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What are three issues or events related to the Thirteen Colonies that still have an impact on our lives today?

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Answer:

d) Marc Antony was defeated in 31 BC after a period of civil war.

Explanation:

The Roman Republic was a period in the history of Rome characterized by the republican regime as a form of state, which extends from 509 a. C., when it ended the Roman Monarchy with the expulsion of the last king, Lucio Tarquinio el Soberbio, until 27 a. C., date in which the Roman Empire had its beginning.

The Roman Republic consolidated its power in central Italy during the fifth century BC. C. and in the centuries IV and III a. C. was imposed as the dominant power of the Italian peninsula by subjecting the other peoples of the region and confronting the southern Greek polis. In the second half of the third century a. C. projected his power outside Italy, which led to a series of clashes with the other great powers of the Mediterranean, in which he defeated Carthage and Macedonia, annexing their territories.

In the following years, being already the greatest power of the Mediterranean, its power expanded over the Greek polis; the kingdom of Pergamum was incorporated into the Republic and in the first century BC. C. conquered the coasts of the Near East, then held by the Seleucid Empire and the Cilician pirates. During the period that covers the end of the II century a. C. and the 1st century a. C., Rome underwent great political changes, provoked by a crisis consequence of a system accustomed to direct only to the Romans and not adapted to control a great empire. During this time competition for magistracies among the Roman aristocracy intensified, creating irreconcilable political fractures that would shake the Republic with three major civil wars; These wars would end up destroying the Republic, and culminate in a new stage in the history of Rome: the Roman Empire.

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