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A runner is running at 5 mph. A bicyclist is bicycling at four times the speed of the runner. What is the difference of the speed of the bicyclist and the runner?


The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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On Saturday, a local hamburger shop sold a combined total of 273 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday?



On Saturday, a local hamburger shop sold a combined total of 273 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday?

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Drivers under 18 are ______ times more likely to have a fatal accident than the average driver.



Drivers under 18 are ______ times more likely to have a fatal accident than the average driver.

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Lebron scored a basket 72 times out of 150 shots. what percent of his shots did he score? a. 42% b. 50% c. 48% d. 63%



Lebron scored a basket 72 times out of 150 shots. what percent of his shots did he score? a. 42% b. 50% c. 48% d. 63%

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Jack and jill each own a collection of mp3 files. jill has six mp3 files less than three times the number that jack has. if jill owns 135 mp3 files, then how many does jack own


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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At certain times banks may not be willing to fully loan out all of their _____________ and customers may not be willing to borrow.


The correct answer to this is the:

“SECTION 1”

The Section 1 generally includes the Closing Information,
Transaction Information, and the Loan Information of the loan regarding the
loan term.

Closing information – Includes date issued, closing date, property
address, and sale price
Transaction information – Includes names and addresses of the
borrower’s and the lender’s name
Loan information – Includes the loan term, purpose of the
loan, product type, loan type and loan ID number 

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Find two consecutive integers such that their product is 11 more than 2 times their sum


127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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Jupiter has a mass that is approximately___ times greater than Venus’s.


Ahemmm having x-intercepts of -3 and -5.. ..well, that simply means, -3 and -5 are roots or solutions or zeros of the equation

it namely means x = -3 and x = -5, an x-intercept is when the graph touches the x-axis, at that point, the y-intercept is 0, so the point is (-3, 0) and (-5, 0)

if the roots are -3, and -5, then

bf begin{cases}
x=-3implies x+3=0implies &(x+3)=0\
x=-5implies x+5=0implies &(x+5)=0
end{cases}\\
-------------------------------\\
(x+3)(x+5)=0implies (x+3)(x+5)=yimplies x^2+8x+15=y

if you have the zeros/x-intercepts/solutions of the polynomial, all you have to do is, get the factors, as above, and get their product, to get the parent original polynomial.

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1). The $70 selling price of a bicycle is the cost increased by 4 times the cost. Find the cost? 2). Three pounds less than twice mikes weight is 215 pounds. What is his weight? 3). If mr Washingtons saving were increased by 5 times his savings. He would then save $36,000. How much has he saved ? PLEASE SHOW YOUR WORK !!!!


Here are the following effects of loose money and tight
money policies on the actions being listed.

A. A loose money policy
is usually implemented as an effort to encourage economic growth.
This can lead to inflation when uncontrolled. The effects are:

1. Borrowing becomes easy

2. Consumer buys more

3. Since more people are willing to buy,
businesses expand

4. Employment rate increases due to
expansion of businesses

5. Since more people are employed, thus
production also increases

 

B. A tight money policy is a course of action to restrict spending
in an economy that is growing too quickly or to hold back inflation when it is
rising too fast. This can lead to recession when uncontrolled. The
effects are:

1. Borrowing becomes difficult

2. Consumer buys less

3. Since people don’t have a lot of
money, business don’t expand

4. Unemployment rate increases due to businesses
slowing down

5. Production decreases

 

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In a casino, the chance of winning a certain game is 14.5%. If you play the game 20 times, what’s your best estimate for the number of times you would win? Round off your answer to the nearest whole number.


You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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Eighty seven decreased by three times a number is greater than one hundred sixty-five


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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Eighty seven decreased by three times a number is greater than one hundred sixty five


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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Write a variable expression for this amount . 14 times X



Write a variable expression for this amount . 14 times X

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A boy is 5 years old and his sister is 3 times as old as he is. When the boy is 10, bow old will the sister be



A boy is 5 years old and his sister is 3 times as old as he is. When the boy is 10, bow old will the sister be

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ΔABC is a right triangle. m ∠A is 6° less than three times m ∠B. Find m ∠A and m ∠B, assuming ∠A is an acute angle.


Answer:

5 in 0.05 is 10 times greater than 5 in 0.005.

Step-by-step explanation:

To find : In which number does the digit 5 have greater value 0.05 or 0.005 how many times as great is it and how do you know ?

Solution :

According to the place value stem,

Ones      Tenths      Hundredths     Thousandths

 0              0                   5                                           – 0.05

 0              0                   0                        5                 – 0.005

In 0.05 5 is in hundredths place and in 0.005 5 is in thousandths place.

So, 5 in 0.05 is 10 times greater than 5 in 0.005.

As 0.05=5times frac{1}{100}

0.005=5times frac{1}{1000}

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Carl has a piece of toast that has jelly on one side, and he dropped it twice. both times, it landed with the jelly side up. if he drops it two more times, what is the probability that it will have landed jelly side up a total of three times? one over four one over three one over two two over three



Carl has a piece of toast that has jelly on one side, and he dropped it twice. both times, it landed with the jelly side up. if he drops it two more times, what is the probability that it will have landed jelly side up a total of three times? one over four one over three one over two two over three

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Carol is three times older than andrew. brad is two years older than andrew. in six years, the sum of andrew’s and brad’s ages will be the same as carol’s age. how old is carol?



Carol is three times older than andrew. brad is two years older than andrew. in six years, the sum of andrew’s and brad’s ages will be the same as carol’s age. how old is carol?

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Relative to 1800, the living standard of the average person today in the united states is about _____ times higher.


The right option is; a. they are usually written in first person.

A diary is a daily record of personal experiences. A diary contains discrete records that are arranged by date stating what has occurred daily, or other period. A personal diary may contain personal experiences, feelings or thoughts while a journal is a daily record of activities, ideas or observations on any event or things. A journal may also contain personal experiences, feelings, or thoughts. In journals and diaries, the writer may write events from their perception using the first person such as “I”.

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Laura is now trying to come up with a number where three less than 8 times the number is equal to half of 16 times the umber after it was increased by 1


The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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The sum of two numbers is 61.61. if three times three times the smaller number is subtracted from the larger? number, the result is 5.5. find the two numbers.


Answer:

Number of copy machines must be made to minimize the unit cost=160.

Step-by-step explanation:

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

If machines are made =x

Then the unit cost function is given by

C(x)=0.8x^2-256x+25939

We have to find the number of copy machines for  minimize the unit  cost

C(x)=0.8x^2-256x+25939

Differentiate with respect to x

Then we get

frac{mathrm{d}C}{mathrm{d}x}=1.6x-256 ……(equation I)

To find the value of x then we susbtitute frac{mathrm{d}C}{mathrm{d}x} is equal to zero

frac{mathrm{d}C}{mathrm{d}x}=0

1.6x-256=0

1.6x=256

x=frac{256}{1.6}

By using division property of equality

x= 160

Again differentiate the equation I with respect to x then we get

frac{mathrm{d}^2 C}{mathrm{d}^2 x}=1.6 >0

Hence, the unit cost is minimize for x=160

Therefore, the number of copy machines must be made to minimize the unit cost =160

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Teens who eat dinner with their families at least ___ times a week have significantly lower rates of drug use than teens who have dinner ___ or fewer times a week. 2; 1 3; 2 4; 1 5; 3


The answers to the given blanks above are NORMS, and CONFORMITY PRESSURES CHANGE ATTITUDES, respectively.
This research is actually based from Jean Watson (1950), an American nurse theorist who is known for her theory of Human Caring. According to her, when the given standards in an environment are changed, this also affects how a person deals with the people around his or her environment. Given above that there is lesser prejudice, this also changed their attitude by being less prejudiced.

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Hurry help me !!! Species are disappearing at an accelerating rate through human action, primarily habitat destruction but also pollution and the introduction of exotic species into residual natural environments. I have said that a fifth or more of the species of plants and animals could vanish or be doomed to early extinction by the year 2020 unless better efforts are made to save them. . . . As the last forests are felled in forest strongholds like the Philippines and Ecuador, the decline of species will accelerate even more. In the world as a whole, extinction rates are already hundreds or thousands of times higher than before the coming of man. They cannot be balanced by new evolution in any period of time that has meaning for the human race. What message does the author convey in this excerpt? Humans need to take action to end further destruction of the natural environment. In the coming years, humans will put forth stronger efforts to save plants and animals. The extinction of plant and animal species is problematic in the Philippines and Ecuador. In recent years, the extinction rate for many animal species has significantly increased.


Hey there!

Correct answer is D. Comma or Period Inside Rule

A. Question mark or exclamation point inside: those are not really necessary.

B. Colon or semicolon: not, a semicolon would divide the whole sentence and it would be shorten; a colon would work but after requested, when there is already a comma.

C. Question mark or Exclamation Point Outside Rule: would not work, becase it is an very polite and affirmative sentence.

D: A comma or period inside rule: actually, just a comma would work. Please, Cooper’s dad requested, go… Cooper’s dad requested must be in between commas as it is a vocative.

Hope this helps

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: adam and melissa went fly-fishing and caught a total of 32 salmon. melissa caught three times as many salmon as adam. how many salmon did adam catch?



: adam and melissa went fly-fishing and caught a total of 32 salmon. melissa caught three times as many salmon as adam. how many salmon did adam catch?

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Manuel and rita bought cds at the music store. rita’s cds originally cost three times more than manuel’s cds, but she received a $9 discount. if rita spent $21 total, which equation can be used to find the amount manuel spent


Answer:

5 in 0.05 is 10 times greater than 5 in 0.005.

Step-by-step explanation:

To find : In which number does the digit 5 have greater value 0.05 or 0.005 how many times as great is it and how do you know ?

Solution :

According to the place value stem,

Ones      Tenths      Hundredths     Thousandths

 0              0                   5                                           – 0.05

 0              0                   0                        5                 – 0.005

In 0.05 5 is in hundredths place and in 0.005 5 is in thousandths place.

So, 5 in 0.05 is 10 times greater than 5 in 0.005.

As 0.05=5times frac{1}{100}

0.005=5times frac{1}{1000}

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Sarahs father is a carpenter who makes good wages in good economic times, but is unemployed when the construction industry slows to a standstill. sarah becomes a neurologist, earning $345,000 a year, and moves from the working class to the upper-middle class. between her fathers generation and her own, sarah has experienced __________ social mobility


The Contribution Margin per unit (CM) can be calculated
from the difference of Selling Price per unit (SP) and Total Expenses per unit
(TE).

 

First, let’s calculate the value of SP:

SP = Sales / Units sold

SP = $1,043,400 / 22,200 units sold

SP = $47

 

Second, calculate all expenses:

Direct materials per unit = $234,948 / 27,970 units
manufactured = $8.4

Direct labor per unit = $131,459 / 27,970 units
manufactured = $4.7

Variable manufacturing overhead per unit = $240,542 / 27,970
units manufactured = $8.6

Variable selling expenses per unit = $113,220 / 22,200
units sold = $5.1

TE = $26.8

 

Therefore the CM is:

CM = SP – TE

CM = $47 – $26.8

CM = $20.2 per unit