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Stacy goes to the county fair with her friends. The total cost of ride tickets Is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. If Stacey bought 15 tickets, she would spend how much

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# Tag: spend

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we know it takes 31 workers to do a car, and 19 to do a motorcycle… so hmmm to make “c” cars, it will then take 31*c workers, or 31c

to make “m” motorcycles, it will then take 19*c or 19c employees

whatever those amounts of workers needed to make both, must be an amount that is 706 or less, thus

31c + 19m ⩽ 706

now…. it takes $7500 to make a car and thus to make “c” cars it will then take 7500* c or 7500c

it takes $4300 for a motorbike, thus to make “m” motorbikes, it will then take 4300*m, or 4300m

whatever those dollar amounts are, must be 84000 or more, since Genghis Motors wants to spend that OR more

7500c + 4300m > 84000

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Olivia has $180 to buy presents for her 3 sisters and 2 nephews. She wants to spend $15 more on each sister than she spends on each nephew. How much does she spend on each sister?

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1 alien = 15.5 oranges/7.2;

1 alien = 2.15 oranges (approximately).

2. We have everything to solve this problem. So in a scaled drawing 1 mm = 150 m. => 1 m = 1/150 mm on the drawing. Then 1 m^2 = (1/150 mm)^2 =>

1 m^2 = 1/22500 mm^2.

So the answer is 1/22500 mm^2.

3. The formula of the length is S=V*t. where V – the speed and t = the time. We already know that V = 60 mph and t = 8 seconds. But the measure of the speed is miles per hour, so we need to convert 8 seconds to hours.

8 seconds = 8/60 minutes = (8/60)/60 hours;

Our solution looks like this:

1) S = 60 mph * (8/60)/60 hours;

2) S = 8/60 miles;

3) S = 0.13 miles;

Answer is 0.13 miles.

4. First let’s find out how many gallons of gas she spent during her trip:

172.5/30 = 5.75 gal;

Now we can find price per gallon:

20,70/5.75 = 3.60$ per gallon;

So the approximate cost of gas in dollars per gallon is 3.60$ per gallon.

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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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Colleen plans to start a small business by making and selling skirts. A sewing machine costs $250, and she estimates that she will spend $15 on materials for each skirt. Which expression represents Colleen’s total costs, in dollars, for making x skirts?

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**Answer:**

Americans will pay more for goods produced in Mexico in 2011.

**Explanation:**

This is a situation of devaluation of the dollar in relation to the Mexican peso. If in 2009 the dollar was worth 16 pesos, but in 2011 it is 14, it means that the purchasing power of the dollar in relation to the Mexican peso has decreased, although it is still high.

In that case, for an American to buy products produced in Mexico in 2011, he or she will spend a little more dollars than he or she would spend in 2009. This is common, since the currencies fluctuate according to the financial market . Thus, the dollar can be valued or devalued, as happened in this example.

If, for example, in 2015 the dollar will buy 20 pesos, it will mean that the dollar appreciated in relation to the peso, increasing the purchasing power of Americans for Mexican products.

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**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

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

Differentiate with respect to x

Then we get

……(equation I)

To find the value of x then we susbtitute is equal to zero

By using division property of equality

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

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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In the first part, where Bill tells Matt that he has three kids and the product of their ages as well as the sum, there are two possible combinations of ages that have the same sum; 3, 3, and 8, as well as 2, 6, and 6. However, once Bill says that he only has a youngest child, no two youngest children, we can eliminate 3, 3, and 8, and the ages are 2, 6, and 6.

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**Answer:**

3 hours.

**Step-by-step explanation:**

Let x be the time taken by shoe repairman to repair one pair.

We have been given that his assistant, who takes twice as long to repair a pair of shoes. So time taken by his assistant to repair one pair of shoes would be 2x.

The number of pair of shoes repaired by repairman in one hour would be .

The number of pair of shoes repaired by assistant in one hour would be .

We have been given that together they can fix 16 pairs of shoes in an eight-hour day. We can represent this information in an equation as:

Let us have a common denominator.

Upon cross multiplying our equation we will get,

**Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.**

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**Answer:**

3 hours.

**Step-by-step explanation:**

Let x be the time taken by shoe repairman to repair one pair.

We have been given that his assistant, who takes twice as long to repair a pair of shoes. So time taken by his assistant to repair one pair of shoes would be 2x.

The number of pair of shoes repaired by repairman in one hour would be .

The number of pair of shoes repaired by assistant in one hour would be .

We have been given that together they can fix 16 pairs of shoes in an eight-hour day. We can represent this information in an equation as:

Let us have a common denominator.

Upon cross multiplying our equation we will get,

**Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.**

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First, let’s talk about temperature. As I mentioned above, the color of a star comes from its surface temperature. A star that emits mostly red light will have a surface temperature of about 3,500 Kelvin. Just for comparison, the Sun’s surface temperature is about 6,000 Kelvin and emits yellow/white light.

Red Dwarf Stars

The first kind of red stars are red dwarfs. These are actually the most common stars in the Universe. The smallest red dwarf stars can be 7.5% the mass of our Sun, and be as large as about half the mass of the Sun. Even a star with this little mass has enough temperature and pressure at its core to carry out nuclear fusion. This is where atoms of hydrogen are fused into atoms of helium; this process releases lots and lots of heat.

Red dwarfs generate much less energy than a larger star like our Sun. In fact, a red dwarf emits 1/10,000th the energy. Even the largest red dwarf only has about 10% of the Sun’s luminosity. Red dwarfs use their hydrogen fuel slowly and so they last a very long time. It’s believed that a red dwarf star could survive for 10 trillion years.

Red Giant Stars

Stars like our Sun spend most of their lives as main sequence stars with a surface temperature that’s much hotter than a red star. But at the end of their lives, when they have used up all their hydrogen fuel, these medium-sized stars will puff out much bigger than their original size – these are red giants. When our Sun becomes a red giant, it will expand out to encompass the orbit of the Earth. After a few hundred million years, it will puff its outer layers and become a white dwarf star.

They start out as regular stars, but they grow to such an enormous size that their heat is spread out across a much larger surface area. This is why they appear very bright, but still have a red color.

Red Supergiant

The biggest stars in the Universe are the red supergiants. They’re not the most massive; Betelgeuse, for example, only has about 20 times the mass of the Sun. But the largest red supergiants can expand out to be more than 1500 times the size of the Sun. Imagine a star that engulfed the orbit of Saturn! Just like the red giants, red supergiants occur when a star has used up the hydrogen fuel in its core, and then expand out during their helium-burning phase. Red supergiants will have the mass to continue fusing elements in their cores, all the way up to iron.

Stars probably only exist as red supergiants for a few hundred thousand years; a million at most. At the end of this period, the star will have used up all the fuel it can in its core; most will detonate as Type II supernovae.

We have written many articles about stars here on Universe Today. Here’s an article about a planet surviving when its star became a red giant, and here’s a deathwatch on a red giant star.

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**Answer: The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared **

**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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**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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**Answer:**

29.68%

**Step-by-step explanation:**

Allen’s monthly take-home pay is $3000

His monthly rent is $750

Now both his monthly take-home pay and his rent increase by $200

**So, After increase Allen’s monthly take-home pay =$3000+$200= $3200**

**After increase His monthly rent = $750+200=$950**

Now we are supposed to find what percentage of Allen’s take-home pay will be used to pay rent

So, percentage =

=

=

=

**Hence 29.68% of Allen’s take-home pay will be used to pay rent. **

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Rolf spent 15 hours last week practicing his saxophone if 3/10 of the time was spent practicing warm up routines, how much time did he spend practicing warm up routines ?

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**Answer:**

C. Yes, because the population values appear to be normally distributed.

**Step-by-step explanation:**

Given is a graph which shows the distribution of values of a population

The graph has the following characteristics

i) Bell shaped

ii) symmerical about mid vertical line

iii) Unimodal with mode = median =mean

iv) As x deviates more from the mean probability is decreasing and also curve approaches asymptotically the x axis

Hence we find that the curve is a distribution of normal

Option C is right

C. Yes, because the population values appear to be normally distributed.

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Treaty of Tordesillas in 1494 was forced on Spain and Portugal by the Pope. The Pope basically said that all lands in the New World belonged to Spain and all new non-Christian lands in the Eastern Hemisphere belong to Portugal. No other Catholic countries can do anything in those areas without the approval of the owner.

The pope basically drew two lines on the globe setting the border. The western line started at the north pole cut half way through Greenland and ended at the south pole. The new world was everything to the west. Problem is that it ran through a chunk of Brazil which is why Brazil is an ex-Portuguese colony.

The Eastern line starts at the North Pole runs through siberia, through the pacific just west of Japan, and cuts Australia in half. Of course, Australia hadn’t been discovered yet. Everything to the the east of this line is the new world.

Obviously, this treaty didn’t hold up well, but the reformation gave the protestant countries an excuse to explore the new world since they didn’t have to take orders from the Pope. Even so, France, a catholic country, ignored it too.

Really, the only country that was effected by the reformation in the exploration of the Americas was England. All the other countries, changed their religion once and then went to war with the nearest catholic country. Sweden became Lutheran and stayed that way. The Dutch Republic became Calvinists and stayed that way.

England kept switching. First it was Catholic. Then, Henry VIII made it protestant. Then, Henry’s daughter Mary I made it catholic again. Henry’s other daughter Elizabeth I (with the two hit movies) made it Protestant again.

Years latter, Oliver Cromwell over through the monarchy, executed the King Charles I, and established a Protestant fundamentalist religious military dictatorship. He outlawed drinking,smoking, gambling, theater, dirty books, sports, prostitution, and anything generally fun. He would have made Saudi Arabia proud. Basically, all you could do is work, pray, and die. Sex was allowed for creating children, but you couldn’t enjoy it.

When Cromwell died, the people of England said enough was enough and brought back the King. Charles II kicked out the fundamentalists and brought back drinking, smoking, gambling, dirty books, sports, prostitution, and having fun during sex. Incidentally, those were also all his hobbies.

This brings us to the famous Pilgrims. They were part of Cromwell’s crowd. They kept agitating a return to the no-fun policy. They annoyed everybody. They weren’t persecuted for practicing their religion, they were persecuted because they kept trying to force their religion on everyone else. Sort of like Southern Baptists.

Charles II was the most easy going monarch in British history. Do realize how annoying you have to be to get him to throw you out.

Charles’s brother James II was obsessed with turning Great Britain catholic again. After four years of trying, they kicked him and his followers out.

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Shaneese is buying peanuts and cashews. She has $12 to spend. Peanuts cost $3 per pound and cashews cost $4 per pound. She buys x pounds of peanuts and y pounds of cashews. Which equation represents the amount of the mix?A. 3y+4x=12B. 7xy=12C. 3x+4y=12D. 3x+4y=12c

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**Answer:**

Americans will pay more for goods produced in Mexico in 2011.

**Explanation:**

This is a situation of devaluation of the dollar in relation to the Mexican peso. If in 2009 the dollar was worth 16 pesos, but in 2011 it is 14, it means that the purchasing power of the dollar in relation to the Mexican peso has decreased, although it is still high.

In that case, for an American to buy products produced in Mexico in 2011, he or she will spend a little more dollars than he or she would spend in 2009. This is common, since the currencies fluctuate according to the financial market . Thus, the dollar can be valued or devalued, as happened in this example.

If, for example, in 2015 the dollar will buy 20 pesos, it will mean that the dollar appreciated in relation to the peso, increasing the purchasing power of Americans for Mexican products.

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We could say that the letter of claim is not complete. A correct claim letter needs. For instances it would be of great importance if he could add: **what the missing parts look like so they can send them and the model and serial numbers so they could track the product.**

A complete and formal complaint letter should have the following information:

Claimant’s information: first and last names, ID number, address and contact telephone number.

Data of the company: you must identify with name and surname if you know the person to whom you are going to go, if not, the department to which you are going. If you do not know the department to which you should go, it is usually Customer Service

Body of the letter:

Facts or motivation of the complaint (this is exposed although important details could be added): here you must explain in detail what happened. Among the main recommendations for writing a letter of complaint, the most important is that you treat the recipient correctly even though you have great discontent. You can prove the above with attached documents

Request: you must say what you want to request. That is, the solution you propose.

Remedy deadline: you must specify the period of time you give them to be solved.

Acting otherwise: you must indicate what you will do if you do not receive a response or if the answer you are given has no solution. You can specify that you will resort to all existing ways to claim your rights as a consumer / citizen

Farewell, name and signature

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race – the racial make up of the society (it can be informative if the race is coorelated for example with income)

gender – the gender make up of a society, which is usually 50% male and 50% female, but differences from that can cause social problems

class- for example whether the society is more uniform, or whether huge differences between classes exist

other aspects can include

age- can tell us how many people are in a working age

education and literacy – it can help us predict the wealth of the country

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**Answer: The triangle ABC translated 2 units left and 5 units upward. Te translation rule is T-2,5(x,y).**

**Explanation:**

It is given that Randy draws triangle ABC on the coordinate plane with vertices A(7, –4), B(10, 3), and C(6, 1). After translation the coordinates of the image are A′(5, 1), B′(8, 8), and C′(4, 6).

In the translation the position of a figure charges without making any in size and shape.

Let the triangle shifts by the rule Ta,b(x,y), where a is horizontal shift and b is vertical shift then,

Since A(7,-4) and A'(5,1), therefore,

Compare the coordinates.

a=-2

b=5

**So the translation rule is T-2,5(x,y).**

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**Answer:**

**It is better to bet on 7.**

**Step-by-step explanation:**

It is given that,

We are rolling two 6-sided numbered cubes and placing bets on the ‘sum of the outcome’.

So, the pair of numbers will be the possible options for the outcome to be their sum.

Now, the possibility to have the sum of 3, 4, 7 and 11 are:

3 = 1+2 i.e. only one pair is the possibility

4 = 1+3 = 2+2 i.e there are two pairs as the possibility

7 = 1+6 = 2+5 = 3+4 i.e. there are three possible pairs

11 = 5+6 i.e. only one pair is the possibility

So, the maximum possibility of a sum to be the outcome is when the sum = 7 i.e. there are 3 possible pairs for the sum to be 7.

**Hence, 7 has the highest possibility to become the outcome.**

**So, It is better to bet on 7.**

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**Answer:**

**It is better to bet on 7.**

**Step-by-step explanation:**

It is given that,

We are rolling two 6-sided numbered cubes and placing bets on the ‘sum of the outcome’.

So, the pair of numbers will be the possible options for the outcome to be their sum.

Now, the possibility to have the sum of 3, 4, 7 and 11 are:

3 = 1+2 i.e. only one pair is the possibility

4 = 1+3 = 2+2 i.e there are two pairs as the possibility

7 = 1+6 = 2+5 = 3+4 i.e. there are three possible pairs

11 = 5+6 i.e. only one pair is the possibility

So, the maximum possibility of a sum to be the outcome is when the sum = 7 i.e. there are 3 possible pairs for the sum to be 7.

**Hence, 7 has the highest possibility to become the outcome.**

**So, It is better to bet on 7.**

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