doug has 45 coins worth $9.00. The coins are all quarters or dimes. How many of each type of coin dose doug have?

Answers

Answer 1

Doug have 30 quarters and 15 dimes.

Step-by-step explanation:

Given,

Number of coins = 45

Worth of coins = $9.00 = 9.00*100 = 900 cents

Each quarter = 25 cents

Each dime = 10 cents

Let,

x be the number of quarters

y be the number of dimes

According to given statement;

x+y=45            Eqn 1

25x+10y=900   Eqn 2

Multiplying Eqn 1 by 10

[tex]10(x+y=45)\\10x+10y=450\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](25x+10y)-(10x+10y)=900-450\\25x+10y-10x-10y=450\\15x=450[/tex]

Dividing both sides by 15

[tex]\frac{15x}{15}=\frac{450}{15}\\x=30[/tex]

Putting x=30 in Eqn 1

[tex]30+y=45\\y=45-30\\y=15[/tex]

Doug have 30 quarters and 15 dimes.

Keywords: linear equation, elimination method

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Answer 2

Doug has 30 quarters and 15 dimes.

Let

x = number of quarters

y = number of dimes

The total number of coins is 45. Therefore,

Total number of coins:x + y = 45

Total amount of the coins is $9. Therefore,

Total cost of the coins:0.25x + 0.1y = 9

Therefore,

x + y = 45

0.25x + 0.1y = 9

0.1x + 0.1y = 4.5

0.25x + 0.1y = 9

0.15x = 4.5

x = 4.5 / 0.15

x = 30

y = 45 - 30

y = 15

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Related Questions

Substitution:
y=3x+2
-4x+2y=8

Answers

The answer is (2,8) hope this helps

The organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet. If the length l
l
of the garden is 24 feet longer than the width w
w
of the garden, what is the area of the garden, in square feet?

Answers

312 is the area
Hope this helps

Answer:

Area of the garden is [tex]306feet^2[/tex]

Step-by-step explanation:

Given:

Perimeter of the garden=84 feet

Let the width of the garden be 'W'

Length of the garden is 24 feet longer than the width of it

so, length of the garden= W+24 feet

To find the width 'W'

Perimeter of a rectangle= 2(Length+Width)

                                      [tex]84 =2(W+24+W)\\ 84 =4W+48\\ 84-48=4W\\ 4W=36\\ W=9[/tex] feet

Width=9 feet

Length=W+24= 9+24= 34 feet

Area of the garden= Length*width

                                 [tex]=34*9\\ =306 feet^2[/tex]

Area of the garden is 306 square feet

The possible values of x are given by x−3≥2 . What is the least possible value of 5x ?

Answers

Answer:

25

Step-by-step explanation:

Solving the inequality

x - 3 ≥ 2 ( add 3 to both sides )

x ≥ 5

Thus the least value of x is x = 5, hence

least possible value of 5x = 5(5) = 25

Final answer:

The least possible value of 5x, when x-3≥2, is 25, as x must be at least 5, and 5x equals 25 when x is 5.

Explanation:

The student's question asks to find the least possible value of 5x given the inequality x-3≥2. To solve this, we first find the smallest value of x that satisfies the inequality. We add 3 to both sides of the inequality to isolate x, obtaining x≥3+2, which simplifies to x≥5. Therefore, the smallest value of x is 5. Now, we multiply this value by 5 to find the least possible value of 5x, which is 5×5=25.

Hair Color Boys Girls
Black 4 5
Blonde 4 6
Brown 10 8
Red 2 1

The table shows the number of boys and girls that have black, blonde, brown, or red hair color.

What is the probability that a student has brown hair? (round to nearest hundredth)
A) 0.42
B) 0.45
C) 0.58
Eliminate
D) 0.82

Answers

Answer:

B) 0.45

Step-by-step explanation:

The total number of students is:

4 + 5 + 4 + 6 + 10 + 8 + 2 + 1 = 40

The number of students with brown hair is 10 + 8 = 18.

So the probability is:

P = 18/40 = 0.45

Answer:  B.) 0.45

~~~~~~~~~~~~~~

Chicken costs $3.20 per pound, and beef costs $4.59 per pound. What is the exact cost of 3 pounds of beef?

Answers

Answer:

$13.77 for three pounds of beef

Answer:

THE ANSWER WOULD BE $13.77 FOR THREE LBS OF BEEF

Step-by-step explanation:

$4.59 x 3 = $13.77

PLEASE MARK BRAINLIEST IF THIS HELPED I ONLY NEED 1 MORE


write the linear equation that goes through the points (2, 20) and (-3, 8). *

Answers

Answer:

2.4x+15.2

Step-by-step explanation:

Answer:

y=-12x

Step-by-step explanation:

equation to solve with: m=y2-y1/x2-x1

m=8-20/-3-2

Then solve for m which is the slope

m=-12/-1

m=-12

equation: y=-12x

GET 20 PTS AND BE NAMED BRAINLIEST AND A THANK YOU PLEASE HELP!!!!!!!!!!!!!!!

Given the percent bar graphs, which best represents the responses of the Economy Majors?
Very Good = 4, Good = 20, Neutral = 11


Very Good = 6, Good = 19, Neutral = 10


Very Good = 18, Good = 55, Neutral = 27


Very Good = 5, Good = 18, Neutral = 12

Answers

Answer:

The answer is C) Very good = 18 Good = 55 Neutral = 27

Step-by-step explanation:

The answer is C) Very good = 18 Good = 55 Neutral = 27

the other person was right

and i feel really bad that somebody else got their answer deleted

Solve for n: -6(n-8)=4(12-5n)+14n

Answers

Answer: use calculated

Step-by-step explanation:

Calculator

Answer:

Everything

Step-by-step explanation:

-6(n-8)=4(12-5n)+14n    Given

-6n+48=48-20n+14n    Distribute

-6n+48=48-6n          Simplify

-6n=-6n                Subtraction Property of Equality(Subtract 48 from both sides)

n=n                   Division Property of Equality(Divide both sides by -6)

Determind the total area of the rectangle. Give your answer in factorised form.

Answers

Answer:

2(x + 3)(4x + 1)

Step-by-step explanation:

The area (A) of the rectangle is calculated as

A = length × width

length = 2(x + 3)

width = 2x + x + 1 + x = 4x + 1

Thus

A = 2(x + 3)(4x + 1)

What is the place value of the underlined number 4,382

Answers

Answer:4 is thousands place

3 is hundredths place

8 is tens place

2 is ones place

Step-by-step explanation:

The place value of the underlined number 4,382 is,  

4 is thousands place

3 is hundredths place

8 is tens place

2 is ones place.

What is place value?

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.

The number 42,316 is different from 61,432 because the digits are in different positions.

here, we have,

the underlined number 4,382

so, we get the place value,

4 is thousands place

3 is hundredths place

8 is tens place

2 is ones place.

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You are selling lemonade for $1.50,a bag of kettle corn for $3, and a hot dog for $2.50 at a fair.write and simplify an expression for the amount of money you receive when p people but one of each item.

Answers

Answer:

$7

Step-by-step explanation:$1.50 + $2.50 will equal to $4. $4 added with$3 would be $7. There's your answer

Assuming she worked at a constant rate, how many rows had been completed before Elena started working?

12
14
15
19

Answers

The answer is 12 :)

The number of rows she had been completed before Elena started working is 12 rows.

How do we make graph of a function?

Suppose the considered function whose graph is to be made is

f=f(x) f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values

f=f(x) f(x)

are plotted on the vertical axis.

They are together plotted on the point

f(x)) (x,y) = (x, f(x))

This is why we usually write the functions as:

f(x) y = f(x)

We are given that;

The points= (14,19), (20,22), (30,27)

Now,

To find the number of rows completed before Elena started working, we need to find the equation of the line that passes through the given points on the graph.

Using the slope formula, we can find that the slope of the line is (27-22)/(30-20) = 0.5.

Using the point-slope form of a line, we can write the equation as y - 22 = 0.5(x - 20).

Simplifying the equation, we get y = 0.5x + 12.

To find the y-intercept, which is the number of rows completed before Elena started working, we plug in x = 0 and get y = 12.

Therefore, by the given graph the answer will be 12 rows.

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The complete question is;

Elena agrees to finish a knitting project for a friend. The graph shows the number of rows Elena completes compared to the amount of time spent knitting. The points on graph are (14,19), (20,22), (30,27).

Assuming she worked at a constant rate, how many rows had been completed before Elena started working?

12(5+2y) = 4y - (5 - 9y)
What is y?

Answers

Answer:

y=-65/9

Step-by-step explanation:

12(5+2y)=4y-(5-9y)

60+24y=4y-5+9y

60+24y=13y-5

60+24y-13y=-5

60+9y=-5

9y=-5-60

9y=-65

y=-65/9

The value of y that satisfies the equation is y = -65/11.

The equation is given as follows:

12(5+2y) = 4y - (5 - 9y)

To find the value of y that satisfies the equation, we can solve for y by simplifying the equation.

Given equation:

12(5 + 2y) = 4y - (5 - 9y)

First, let's simplify both sides of the equation:

60 + 24y = 4y - 5 + 9y

Next, let's combine like terms:

24y - 4y - 9y = -5 - 60

Simplifying further:

11y = -65

Finally, divide both sides of the equation by 11 to solve for y:

y = -65/11

Therefore, the value of y that satisfies the equation is y = -65/11.

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Pleeease help, I've been stuck on this for weeks!!

Answers:
complementary Angles

Supplementary Angles

definition of complementary angles

definition of supplementary angles

distributive property

substitutive property​

Answers

Answer:

It is given that [tex]\angle ABC[/tex] and [tex]\angle CBD[/tex] are complimentary angles.

[tex]m\angle ABC + m\angle CBD = 90 \textdegree[/tex] using the definition of complementary angles.

given that [tex]m\angle ABC = 35 \textdegree .[/tex] Using the substitutive property

[tex]35 \textdegree + m \angle CBD = 90\textdegree[/tex]

Therefore, using subtraction property of equality [tex]m \angle CBD = 55 \textdegree[/tex]

Step-by-step explanation:

It is given that [tex]\angle ABC[/tex] and [tex]\angle CBD[/tex] are complimentary angles.

[tex]m\angle ABC + m\angle CBD = 90 \textdegree[/tex] using the definition of complementary angles.

given that [tex]m\angle ABC = 35 \textdegree .[/tex] Using the substitutive property

[tex]35 \textdegree + m \angle CBD = 90\textdegree[/tex]. Therefore, using subtraction property of equality [tex]m \angle CBD = 55 \textdegree[/tex]

find an obtuse angle whose sine is
a) 0.25
b) 0.75
c) 0.875
d) 0.3465

Answers

Answer:

a) 165.52 degrees.

b)  131.41 degrees.

c)  118.96 degrees.

d)  159.73 degrees.

Step-by-step explanation:

The sine of an obtuse angle is positive as it is in the second quadrant.

a) Using a calculate the angle whose sine ( arcsin) is 0.25  = 14.478 degrees

so the obtuse angle  = 180 - 14.478 = 165.52 degrees to nearest hundredth

b) c) and d) are calculated in the same way.

Melanie read 45 pages of a hundred page book her younger sister read half of a 10 page book who read a greater fraction of her book Melanie or her sister

Answers

melanies fraction would be 45/100 and her younger sisters would be 5/10 since it’s only half. so her sister read more.

Solve the system is of linear equations by substitution.What is the solution to x=2y+7 and 3x+2y=3?

Answers

Answer:

(5/2, -9/4)

Step-by-step explanation:

What is the value of 7 in the number 82.76? Give your answer as a fraction

Answers

Answer:                                                            

it would be 7/10

The required value of the 7 in the number is 1/10th of the given number.

Given that,
The value of 7 in the number 82.76, is to be determined.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
The number 82.76 = 8 × 10 + 2 × 1 + 1/10×7 + 1/100×6
So the position of the value 7 in the given number from the above expression is given as 1/10th.

Thus, the required value of the 7 in the number is 1/10th of the given number.

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a coin is tossed, then a letter in the word accomplishment is chosen at random. find the probability of heads, then a vowel

Answers

Answer:

1/7

Step-by-step explanation:

Heads: 1/2

Accomplished: 14 letters

Accomplished: 4 vowels

P(vowel) = 4/14 = 2/7

P(H and vowel) = 1/2 * 2/7 = 1/7

Final answer:

The probability of tossing a head and then selecting a vowel from the word 'accomplishment' is 3/28 or approximately 0.107.

Explanation:

The question asks us to find the probability of getting a head on a coin toss and then picking a vowel from the word 'accomplishment'. First, we determine each probability separately. The probability of getting a head when tossing a fair coin is 1/2, as there are two outcomes (head or tail), and getting a head is one of them.

The word 'accomplishment' has 14 letters, of which 3 are vowels (a, o, i). Therefore, the probability of picking a vowel at random from 'accomplishment' is 3/14. To find the combined probability of both events happening in sequence (tossing a head then picking a vowel), we multiply the probabilities of the individual events: (1/2) * (3/14) = 3/28 or approximately 0.107.

Please solve for x. (-:

Also please show me a step-by-step, thanks! uwu

Answers

Answer:

[tex]x=27[/tex]

Step-by-step explanation:

we know that

[tex](3x+9)^o+90^o=180^o[/tex] ----> by supplementary angles (form a linear pair)

Solve for x

Combine like terms

[tex](3x+99)^o=180^o[/tex]

subtract 99 both sides

[tex]3x=180-99\\3x=81[/tex]

Divide by 3 both sides

[tex]x=27[/tex]

Help ASAP!!! Which expression gives the length of the transverse axis of the hyperbola
shown below?

Answers

The expression which gives the length of the transverse axis of the hyperbola is; Choice D; a-b.

Which expression gives the length of the transverse axis of the hyperbola?

The transverse axis is by definition, a line segment that passes through the center of the hyperbola and has vertices as its endpoints. The foci therefore lies on the line that contains the transverse axis. Hence, it follows that the correct answer choice is; a-b.

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martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t seconds after martin releases it.
how many seconds before the ball martin threw hits the ground?
show your work.
(pls answer asap!!)

Answers

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

[tex]h(t)=-16t^2+40t+5[/tex]

we know that

When the ball hits the ground, the height is equal to zero

so

[tex]-16t^2+40t+5=0[/tex]

The formula to solve a quadratic equation of the form

[tex]at^{2} +bt+c=0[/tex]

is equal to

[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]-16t^2+40t+5=0[/tex]

so

[tex]a=-16\\b=40\\c=5[/tex]

substitute in the formula

[tex]t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}[/tex]

[tex]t=\frac{-40\pm\sqrt{1,920}} {-32}[/tex]

[tex]t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec[/tex]

[tex]t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec[/tex]

therefore

The solution  is t=2.62 seconds

help hurry plzzzzzzzzzz

Answers

Answer:

The percentage of Guanine will be 17%

Step-by-step explanation:

As we know from Chargaff's rule, DNA from any organism will  contain 1:1 purine and pyrimidine ratio.

so, The adenine (Purine) ratio is 33% because the Thymine is 33%(Pyrimidine)

Then Guanine (Purine) will be 17% because the Cytosine (Pyrimidine) is  17%

What is the volume of this cylinder?


Use ​π ≈3.14 and round your answer to the nearest hundredth.

Answers

Answer:

301.59 or estimated value is 301.60

first you have to find the circumference and then multiply the height by the circumference.

hope it helps

What is the quotient?
212,960 - 1000
o
2.1296
21.296
212.96
0
2129.6

Answers

The quotient is 212.96.

Solution:

Given expression is [tex]\frac{212,960}{1000}[/tex].

Divide the given expression to find the quotient.

Decimal rule when numerator is divided by 10, 100, 1000, 10000 etc..

If you have one zero in the divisor (10), then the decimal point will move 1 place to the left of the last digit.If you have two zeros in the divisor (100), then the decimal point will move 2 place to the left of the last digit.If you have three zeros in the divisor (1000), then the decimal point will move 3 place to the left of the last digit.

[tex]$212960\div1000=\frac{212960}{1000}[/tex]

Here, we have 3 zeros in the denominator.

So, the decimal point is move 3 digit to the left of the last digit.

[tex]$212960\div1000=212.96[/tex]

So, option C is the right answer.

Hence the quotient is 212.96.

Answer:212.96

Step-by-step explanation:

Which expressions are equivalent to 5 (one-third x + 7) minus 3 (one-half x minus 4)? Select three options.
5 and one-third x minus 3 and one-half x + 35 minus 12
One-sixth x + 47
1 and two-thirds x + 35 minus 1 and one-half x + 12
5 (one-third x) + (5) (7) minus (3) (one-half x) + (3) (4)
1 and one-third x + 35 minus 1 and one-half x minus 12

Answers

Answer:

One-sixth x + 47

1 and two-thirds x + 35 minus 1 and one-half x + 12

1 and one-third x + 35 minus 1 and one-half x minus 12

Step-by-step explanation:

The original expression in this problem is

[tex]5(\frac{1}{3}x+7)-3(\frac{1}{2}x-4)[/tex]

We start by applying the distributive property and multiplying each factor outside the brackets by each factor inside:

[tex]5\cdot \frac{1}{3}x+5\cdot 7 -3\cdot \frac{1}{2}x+3\cdot 4[/tex]

So we get:

[tex]\frac{5}{3}x+35-\frac{3}{2}x+12[/tex]

Now we can rewrite this using mixed fractions:

[tex]1\frac{2}{3}x+35-1\frac{1}{2}x+12[/tex] (1)

Which can be also written as

[tex]1\frac{2}{3}x+35-(1\frac{1}{2}x-12)[/tex] (2)

And finally, by solving it, we find

[tex]\frac{1}{6}x+47[/tex] (3)

So the three correct options are

One-sixth x + 47

1 and two-thirds x + 35 minus 1 and one-half x + 12

1 and one-third x + 35 minus 1 and one-half x minus 12

Explain how you find a solution to a system of linear inequalities.

Answers

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Graph one line at a time in the same coordinate plane and shade the half-plane that satisfies the inequality.

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plz help asap......................................

Answers

Option B:

Law of cosine, two sides and the included angle are known.

Solution:

Let us first know the law of cosines and law of sines.

Law of cosine:

If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.

[tex]c^2=a^2+b^2-2abcos\theta[/tex]

Law of sine:

The sides of a triangle are to one another  in the same ratio as the sines of their opposite angles.

[tex]$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

Given ∠P and the sides r, q are known.

To find the value of p:

Option A: Law of cosines, all sides are known.

It is false by the above definition of law of cosine.

Option B: Law of cosine, two sides and the included angle are known.

It is true by the above definition of law of cosine.

Option C: Law of sines, all sides are known.

It is false, because one angle is given in question.

Option D: Law of sines, two angles and the included side are known.

It is false, because two angles are not given.

Option B is the correct answer.

Hence the answer is "Law of cosine, two sides and the included angle are known".

april bought some sports drinks and slices of pizza for her friends. She bought 3 more sports drinks than slices of pizza. If her total order was 21.25, how many sports drinks did she purchase? one slice of pizza cost 2.25 and one sport drink cost 1.25

Answers

Answer: She purchased 8 sports drinks,

Step-by-step explanation:

Let be "d" the number of sports drinks that April purchased and "p" the number of slices of pizza that April purchased.

Set up a System of equations:

[tex]\left \{ {{d=p+3} \atop {2.25p+1.25d=21.25}} \right.[/tex]

In order to solve the System of equations you can use the Substitution Method:

1. Solve for "p" from the first equation:

[tex]d=p+3\\\\p=d-3[/tex]

2. Substitute it into the second equation:

[tex]2.25(d-3)+1.25d=21.25[/tex]

3. Finally, you must solve for "d" in order to find its value. You get that this is:

[tex]2.25(d-3)+1.25d=21.25\\\\2.25d-6.75+1.25d=21.25\\\\3.5d=21.25+6.75\\\\d=\frac{28}{3.5} \\\\d=8[/tex]

Answer:

Step-by-step explanation:

8 sport drinks

In 20 days Ken drove 334.9 miles. How many miles did Ken drive each day?

Answers

334.9 miles divided by 20 days
334.9/20=16.745 miles/day
Ken drove 16.745 a day .
Other Questions
A firm's natural resource exploitation site will require an expenditure of $5 million to reclaim the site for environmental purposes. That expenditure is expected to be made five years from now. The present value today of that amount is $3.5 million. Because of this obligation, by what amount will (1) total depletion on the site increase and (2) how much accretion expense will be recognized, over the five years (in millions)? HELP THIS IS DUE IN AN HOUR!!!!!!!!!!!! What is -4 divided by 2/5 how do I write an argumentative essay introduction in the topic Can a vegetarian diet lead to weight loss? A company is in its first month of operations. Supplies worth $4,000 were purchased on January 5. At the end of the month supplies worth $3,000 were in hand. What adjusting entry would be made at the end of January? Dreams occurring during REM sleep are ________; dreams occurring during non-REM sleep are ________.\ Change the verb into its noun form.ally _______a0 When deciding what types of information to gather, determining what information the audience needs to move forward is an example of what? Use the formula . Find t for r = 33.2 m/h and d = 375.16 m. A community that comes together to build a barn for one of its members after it has been destroyed by fire would be characteristic of a preindustrial society. Durkheim would conclude their members have ________. Im so confused geometry . Accounts receivable that cannot be collected. (p. 412) 2. Crediting the estimated value of uncollectible accounts to a contra account. (p. 412) 3. The difference between an asset's account balance and its related contra account balance. (p. 412) 4. The difference between the balance of Accounts Receivable and its contra account, Allowance for Uncollectible Accounts. (p. 412) 5. The amount of accounts receivable a business expects to collect. (p. 412) 6. A method used to estimate uncollectible accounts receivable that assumes a percent of credit sales will become uncollectible. (p. 413) 7. A method used to estimate uncollectible accounts receivable that uses an analysis of accounts receivable to estimate the amount that will be uncollectible. (p. 413) 8. Analyzing accounts receivable according to when they are due. (p. 414) 9. Canceling the balance of a customer account because the customer does not pay. (p. 418) 10. Recording uncollectible accounts expense only when an amount is actually known to be uncollectible. (p. 419) A tank of methane gas contains 2.8 m of the gas at 20C. The tank has a pressure-release valve that releases gas into a secondary tank that will hold 0.2m of gas if the pressure rises. At what Celsius temperature will the methane fill both tanks? Find the area of the hexagon.A)36 in2B)52 in2C)78 in2D)144 in2 can someone please help? if can include working out Charles Berkle is the manager of Nogain Manufacturing and is interested in doing a cost of quality analysis. The following cost and revenue data are available for the most recent year ended December 31: Sales revenue$250,000 Cost of goods sold 140,000 Warranty expense 21,000 Inspection costs 15,000 Scrap and rework 8,600 Product returns due to defects 6,000 Depreciation expense 10,000 Machine maintenance expense 3,000 Wage expense 35,000 Machine breakdown costs 4,000 Estimated lost sales due to poor quality 5,000 Individuals are rationally ignorant about the wealth implications of government activities because the cost of acquiring such information is high and the private benefit is low.true or false How do you solve 12x -2/3 = 83 1/3 : How does the solubility of a solid in a liquid depend on temperature? How is this temperature dependence exploited to purify solids through recrystallization? Lekeisha's income exceeds her expenditures. Lekeisha is aa. saver who demands money from the financial system.b. saver who supplies money to the financial system.c. borrower who demands money from the financial system.d. borrower who demands money from the financial system.