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## William buys a basket of lemons on sale for \$7 before tax. The sales tax is 16%. What is the total price William pays for the basket of lemons?

William buys a basket of lemons on sale for \$7 before tax. The sales tax is 16%. What is the total price William pays for the basket of lemons?

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## Christine buys 7 hamburgers and 3 sodas for \$27.95. Laura buys 5 hamburgers and 4 sodas for \$23.40. How much does a hamburger cost? A. 1 .85 B. \$3.20 C. \$6.80 D. \$6.55 E. \$3.50

Christine buys 7 hamburgers and 3 sodas for \$27.95. Laura buys 5 hamburgers and 4 sodas for \$23.40. How much does a hamburger cost? A. 1 .85 B. \$3.20 C. \$6.80 D. \$6.55 E. \$3.50

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## Carina buys a set of business checks from her bank. The checks cost her \$26.73. She gives the teller \$30.23. How much change should Carina get back?

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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## Allstocks.com, a web seller that buys furniture, clothing, electronics, and more from a variety of producers at less-than-regular wholesale prices and then charges customers less than retail, is a(n) ________.

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

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## Joe buys a set of books that cost \$45.58. He gives the cashier three (3) \$20 bills and three (3) pennies. How much change should Joe get back?

Step-by-step explanation:

The slope of a line passing through two points P(a,b) and Q(c,d) is given by :-

The given points :  (-4, 3) and (-4, 7)

Then , the  slope of a line passing through two points  (-4, 3) and (-4, 7) is given by :-

Since , the parallel have the same slope  .

Therefore, the slope of the line that is parallel to line m is undefined.

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## A cabinet maker buys 3.5 liters of oak varnish. The varnish cost \$4.95 per liter. What is the total cost of 3.5 L of varnish ?

A cabinet maker buys 3.5 liters of oak varnish. The varnish cost \$4.95 per liter. What is the total cost of 3.5 L of varnish ?

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## A local supermarket sells chicken fir \$2.49/lb and pork for \$3.19/lb.Todd buys “c” pounds of chicken and “p” pounds ofpork which of the following inequalities represents that Todd only has \$40 to spend?

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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## Brad wants to buy flowers for his friend with \$15. The daisies are \$1 each and the roses are \$3 each. He buys 3 more daisies than roses how much did the roses cost?

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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## 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

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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## James wants to go to a concert with his friends. The tickets to the show cost \$10 each. If James buys x tickets at a cost of c dollars, represent c as a function of x.

James wants to go to a concert with his friends. The tickets to the show cost \$10 each. If James buys x tickets at a cost of c dollars, represent c as a function of x.

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## Vactin corp., a construction company, buys ten truckloads of cement for its new construction project. given this information, the cement bought is an example of a(n) _____.

Vactin corp., a construction company, buys ten truckloads of cement for its new construction project. given this information, the cement bought is an example of a(n) _____.

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## Vincento buys 500 shares of common stock in water reclamation services, inc. as a shareholder of record, vincento owns a proportionate interest in terms of

Vincento buys 500 shares of common stock in water reclamation services, inc. as a shareholder of record, vincento owns a proportionate interest in terms of

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## Sophia has \$20. she buys a hair band for \$3.99, gum for \$1.29, and a brush for \$6.75. not including tax estimate how much change she should receive????? PLEASE HELP

28.47º of latitude, 7.35º of longitude

Step-by-step explanation:

The latitude and longitude are simple imaginary lines (horizontal for latitude and vertical for longitude) that divide the Earth from an angle point of view. When used as a combination of both, you can get an exact location in any part of the world. For the 2 references, there a 0º divisions that make one side positive angles and negative on the other side (in the case of latitude, positive angles are above the equator line and for longitude positive angles are from the right of the Greenwich Meridian).

With the above mentioned we can observe that Hong Kong and Jakarta are away 22.27º and 6.2º respectively from the equator. So, the total degrees in latitude wil simply be the sum of the 2 absolute values (222.7º+6.2º) giving as a result of 28.47º.

On the other hand, we have in longitude that both cities are several degrees away from the same reference, and because they are from the right side of the Greenwich Meridian, the net change will be the substraction of 114.5-106.8º, giving as a result a total of 7.35º.

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## Hamburger sells for 3 pounds for 6\$. If Samantha buys 10 pounds of hamburger, how much will she pay?

Hamburger sells for 3 pounds for 6\$. If Samantha buys 10 pounds of hamburger, how much will she pay?

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## The granola summer buys used to cost six dollars per pound but it has been marked up 15% a how much did it cost summer to buy 2.6 pounds of granola at the old price be how much does it cost her to buy 2.6 pounds of granola at the new price see suppose summer buys 3.5 pounds of granola how much more does it cost new pricing at the old price

The granola summer buys used to cost six dollars per pound but it has been marked up 15% a how much did it cost summer to buy 2.6 pounds of granola at the old price be how much does it cost her to buy 2.6 pounds of granola at the new price see suppose summer buys 3.5 pounds of granola how much more does it cost new pricing at the old price

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## Neela is buying shirts that are on sale at two for the price of one. the original price of each shirt was s dollars. she buys 4 shirts for \$24. which equation shows an equality between two different ways of writing how much neela spends on the shirts?

Answer: The answers is (B) equal areas.

Step-by-step explanation:  Given that two triangles have equal perimeters.

As shown in the attached figure, let us consider two right-angles triangles, ΔABC and ΔDEF, with sides AB = 3 cm, BC = 4 cm, AC = 5 cm, DE = 4 cm, EF = 3 cm and DF = 5 cm.

So the perimeters of both the triangles = 3 + 4 + 5 = 4 + 3 + 5 = 12 cm.

Since volume term is not valid in case of triangles, so they cannot have equal volumes. Therefore, option (A) is incorrect.

Area of ΔABC is

and area of ΔDEF is

Therefore, they may have equal areas and so option (B) is correct.

If the triangles have equal bases, then the heights will also be equal and both the triangles will be same. Similar is the case with equal heights. So, options (C) and (D) are incorrect.

Thus, the correct option is (B). equal areas.

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## A retailer buys a toy for \$3.60 and marks up the price 120% what is the retail price of the toy

Selling price = \$1.75 per unit

Step-by-step explanation:

Let x is the selling price of one gift bag.

So selling price of 395000 units will be = \$39500x

Since fixed costs for producing the bag are \$184000 and variable cost per unit is = \$1.20

Therefore, variable cost of 395000 units will be = \$1.20×395000

= \$474000

Now the cost price of 395000 units will be = Fixed cost + variable cost

= 184000 + 474000

= \$658000

Now we know profit = Selling price – cost price

32400 = 395000x – 658000

395000x = 32400 + 658000

395000x = 690400

x =

x = \$1.75

Therefore. \$1.75 per unit will be the selling price of glitter gift bags.