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The grocery store sells kumquats for $3.75 a pound and Asian pears for $2.25 a pound. Write an equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy with $14.

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Answer:

an equation in standard form is 3.75k+2.25p=14

Step-by-step explanation:

The Standard form of an equation is written as:

Ax+By = C

here, k represents he weights of kumquats and p represents the weight of  Asian pears .

As per the statement:

The grocery store sells kumquats for $3.75 a pound

3.75k

and Asian pears for $2.25 a pound.

2.25p

We have to find the an equation in standard form

A customer could buy kumquats and Asian pears with $ 14

then;

3.75k+2.25p=14

Therefore, an equation in standard form is 3.75k+2.25p=14

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Read the passage from Hamlet, Act I, Scene iii. Polonius: Beware Of entrance to a quarrel, but, being in, Bear ’t that th’ opposed may beware of thee. Give every man thine ear, but few thy voice; Take each man’s censure, but reserve thy judgment. Costly thy habit as thy purse can buy, But not express’d in fancy; rich, not gaudy … Shakespeare’s word choice in the passage creates a tone that is argumentative. cautious. conceited. nervous.

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Shakespeare’s word choice in the passage creates a tone that is cautious.

In Act 1 Scene III of the play “Hamlet,” Polonius gives certain advises to his son Laertes who is preparing to leave for France. He advises him to keep control of his words and to behave in the most practical manner in the ship. He asks him to restrain himself from the bad company, and rash decisions. Advising on the matter of dress and attire he asks him to dress richly but not gaudily. He also asks him not to borrow or lend money.

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Sam wants to buy 8 pencils and 6 pens, which cost a total of $8.50. He realizes he doesn’t have enough cash and instead takes only 4 of each, which costs only $5. What is the price of each pen and pencil? pen, $0.75; pencil, $0.50

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X = pencils, y = pens

8x + 6y = 8.50
4x + 4y = 5…..multiply by -2
—————-
8x + 6y = 8.50
-8x – 8y = -10 (result of multiplying by -2)
—————–add
-2y = – 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75

4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 – 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50

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Joshua wants to buy some land in Wyoming to start a free range chicken ranch. He wants the land to have a length 500 feet greater than the width, so the chickens have room to run. If the area of the land needs to be 1,742,400 square feet, what must the length be? Round answer to the nearest whole foot.

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Joshua wants to buy some land in Wyoming to start a free range chicken ranch. He wants the land to have a length 500 feet greater than the width, so the chickens have room to run. If the area of the land needs to be 1,742,400 square feet, what must the length be? Round answer to the nearest whole foot.

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Jack paid $13.75 to buy slices 3 of pizza and 4 hot dogs at a concession stand. Sarah paid $9.75 to buy 2 slices of pizza and 3 hot dogs from the same stand. What was the price of a slice of pizza?

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$13.75 = 3p + 4d
$9.75 = 2p + 3d

Using 2nd equation, divide all factors by 3 to isolate hot dog price and solve in terms of pizza price:

3.25 = 2/3p + d
3.25 – 2/3p = d

Now substitute for d in the other equation:

$13.75 = 3p + 4(3.25 – 2/3p)

Distribute the 4: 

$13.75 = 3p + 13 – 8/3p

Combine factors of p:

$13.75 = 9/3p – 8/3p + 13
$13.75 = 1/3p + 13

Isolate and solve for p:

$13.75 -13 = 1/3p

0.75= 1/3p

0.75 * 3 = p
2.25 = p

The price of pizza was $2.25 per slice.

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Ivan earns 8 each time he walk his neighbors dog he already walked the dog 5 times how many more times does he need to walk the dog to earn enough money to buy a game that cost 88

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Ivan earns 8 each time he walk his neighbors dog he already walked the dog 5 times how many more times does he need to walk the dog to earn enough money to buy a game that cost 88

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Lisa wants to buy a phone card for $5. Company X charges $0.37 for the first minute and $0.08 for each additional minute. Company Y charges $0.52 for the first minute and $0.14 for each additional minute. If Lisa makes just one call, which phone company gives her more minutes for $5? How many more minutes? a. Company Y; about 29 minutes c. Company X; about 26 minutes b. Company X; about 29 minutes d. Company Y; about 26 minutes

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Answer:

Option b

Step-by-step explanation:

Given that Lisa wants to buy a phone card for $5.

Company X charges $0.37 for the first minute and $0.08 for each additional minute.

ie. for t minutes charges are C(t) = 0.37+0.08(t-1)

Company Y charges $0.52 for the first minute and $0.14 for each additional minute.

for t minutes company Y charges

C(t) = 0.52+0.14(t-1)

If 5 dollar is spent, then for company A

t = frac{5-0.37}{0.08}+1 =58.875 minutes

For company B, for same 5 dollars,

t =frac{5-0.52}{0.14} =33

Company x gives about 26 minutes more

Option b

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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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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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Linda has 25 students in her class, and she wants each student to have 3 ice-cream sandwiches. If there are 15 sandwiches in a box, how many boxes should Linda buy?

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Each must have 3
3 times number of studnets=popsicles she must buy
3 times 25=75
she needs 75 posicles

number of poples bought=number per box times number of boxes
needs 75
75=15 times number of box
divide both sides by 15
5=number of boxes

should buy 5 boxes

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Larry wants to buy some carpeting for his living room. The length of the room is 3 times the width and the total area of the room is 27 square meters.

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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

d=sqrt{(c-a)^2+(d-b)^2}.

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

d=sqrt{(x-8)^2+(y-9)^2}.

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

d = 10.

Therefore,

10=sqrt{(x-8)^2+(y-9)^2}.

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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You buy 2 boxes of doughnuts for 3.99 each 3 boxes for 4.49 each and 1 box chocolate for 4.99 you pay the cashier 50 dollars how much change you get back

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You buy 2 boxes of doughnuts for 3.99 each 3 boxes for 4.49 each and 1 box chocolate for 4.99 you pay the cashier 50 dollars how much change you get back

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What condition did NOT contribute to the consumer economy of the 1920s? eliminating the ability to buy on credit clever advertising increased wages and incomes new technological advances

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What condition did NOT contribute to the consumer economy of the 1920s? eliminating the ability to buy on credit clever advertising increased wages and incomes new technological advances

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You are planning to buy a fancy sports car. There are 5 choices of wheel covers, 4 choices of stereos, 9 choices of colors, and 2 choices of windows. If you made a tree diagram to show all the possible outcomes, how many leaves would the tree diagram have ?

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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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Read the following excerpt from The Great Gatsby, which takes place just before Gatsby’s funeral: A little before three the Lutheran minister arrived from Flushing, and I began to look involuntarily out the windows for other cars. So did Gatsby’s father. . . . The minister glanced several times at his watch, so I took him aside and asked him to wait for half an hour. But it wasn’t any use. Nobody came (174). Which of the following sentences most accurately describes a theme shown in this excerpt? A.Religion is important to Gatsby. B.Gatsby made many enemies. C.Parental love is unconditional. D.Wealth cannot buy friendship.

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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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Under what circumstances would a firm be more likely to buy the required number of bonds

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Under what circumstances would a firm be more likely to buy the required number of bonds

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The price of 1 lb of potatoes is $ 1.65. if all the potatoes sold today at the store bring in $ 1220, how many kilograms of potatoes did grocery shoppers buy?

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The price of 1 lb of potatoes is $ 1.65. if all the potatoes sold today at the store bring in $ 1220, how many kilograms of potatoes did grocery shoppers buy?

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Shawn wants to buy a cd player that costs $48.00. If he has already saved $30.00, what percent of the price of the cd player has he saved?

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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

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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You need to buy 5 notebooks for your classes at schools. Each notebook costs $2.79. Wha is the total cost of 5 notebooks before tax?

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You need to buy 5 notebooks for your classes at schools. Each notebook costs $2.79. Wha is the total cost of 5 notebooks before tax?

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Alice wants to buy some paper towels. She has two options. She can either buy a package of four rolls or she can buy one roll now and buy another when she runs out. Which of these options is better? Give reasons for your answer.

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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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Amy wants to buy a pair of jeans that cost $65. Today the store is offering a straight discount of 25%. Calculate her savings and cost after the discount.

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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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138) Amanda and Jenny are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Amanda sold 5 small boxes of oranges and 5 large boxes of oranges for total of $155. Jenny sold 10 small boxes of oranges and 12 large boxes of oranges for a total of $ 346. Find the cost each of one small box of oranges and one large box of oranges?.

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138) Amanda and Jenny are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Amanda sold 5 small boxes of oranges and 5 large boxes of oranges for total of $155. Jenny sold 10 small boxes of oranges and 12 large boxes of oranges for a total of $ 346. Find the cost each of one small box of oranges and one large box of oranges?.

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Josh kept 75% of the ride tickets he bought at a carnival and gave the rest to his friend Sam. Sam gave 50% of these tickets to Rob. If Rob was given 3 tickets, how many tickets did Josh buy?

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Solution:

The Given Rectangle having dimensions

Length = 80 cm

Breadth = 50 cm

Let the Six squares which has been cut from this rectangle have side of length a cm.

Area of each square = (Side)²= a²

Area of 6 Identical Squares = 6 × a²= 6 a²

If four squares are cut from four corners and two along Length,

then , Length of Box = (80 – 3 a)cm, Breadth of Box = (50 – 2 a)cm, Height = a cm

Volume of Box =V = Length × Breadth × Height

    V = (80 – 3 a)× (50 – 2 a)× a

     V   = 4000 a – 310 a² + 6 a³

For Maximum Volume

V’= 0 , where V’ = Derivative of V with respect to a.

V’= 4000 – 620 a + 18 a²

V’ =0

18 a² – 620 a + 4000= 0

9 a² – 310 a + 2000=0

using determinant method

a = frac{310pmsqrt{96100-72000}}{18}=frac{310pm155}{18}=frac{310-155}{18}=8.6 cm

V”=1 8 a – 310 = -ve

which shows , when a = 8.6 cm , volume is maximum.

So, V = 4000×8.6 – 310×(8.6)²+6×(8.6)³=15288.736 cm³

OR

If four squares are cut from four corners and two along Breadth,

then , Length of Box = (80 – 2 a)cm, Breadth of Box = (50 –  3 a)cm, Height = a cm

Volume of Box =V = Length × Breadth × Height

    V = (80 – 2 a)× (50 – 3 a)× a

     V   = 4000 a – 340 a² + 6 a³

For Maximum Volume

V’= 0 , where V’ = Derivative of V with respect to a.

V’= 4000 – 680 a + 18 a²

V’ =0

18 a² – 680 a + 4000= 0

9 a² – 340 a + 2000=0

Using Determinant method

a = frac{340pmsqrt{115600-72000}}{18}=frac{340pm209}{18}=frac{131}{18}=7.6 cm

V”=18 a -340= -ve value when a = 7.6 cm, shows volume is maximum when a = 7.6 cm

V= 4000×7.6 -340 × (7.6)² +6× (7.6)³=13395.456 cubic cm

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Zingz is a soft drink that is widely distributed across cities. it is available at gas stations, department stores, and vending machines. consumers buy the soft drink without much thought or effort. zingz is an example of a _____.â

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The three primary
stakeholders are the banks, the merchants, and the consumers.

Banks = Against, since
this would mean that they will be receiving less

Merchants = For, since
they would be paying less

Consumers = Generally
unaffected. But I believe they would be more against the proposal because if
interchange fees are capped, then the banks will find other ways to retrieve
the lost revenues by other means, such as increasing the interest or etc.

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As the product life cycle curve approaches the decline state, a company can attempt to jumpstart the curve again by doing which of the following? find new users and new uses increase the size of their sales force increase the advertising budget increase free samples as incentives to buy none of the above

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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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Charlie cannot remember how much he financed to buy his car. He does remember that his monthly payment is $200. His add-on interest rate was 9% and he made a total of 30 payments. Find the amount of his loan to the nearest penny.

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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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