Two friends are playing tic-tac-toe. If Amy wins 3/8 of the time, Lily wins 3/10 of the time, and they tie the rest of the time, then what fraction of the time do they tie?

Answers

Answer 1

Answer:

13/40

Step-by-step explanation:

The period they have played can be divided into 3 parts:

● The time Amy wins

● The time Lily wins

● The time they tie

So the sum of them is the total time of playing.

Let A be the time Amy wins, L the tile Lily wins and T the time they tie .

●●●●●●●●●●●●●●●●●●●●●●●

Since we have expressed the times using fractions then the total period of playing is 1 wich is 100%.

So:

A + P + T = 1

3/8 + 3/10 + T = 1

Multiply 8 by 10 and 10 by 8 so that you get a common denominator.

Cross multiply the numerators and the denominators.

(3*10+3*8)/80 + T = 1

(30 + 24)/80 + T =1

54/80 + T = 1

(27*2)/(40*2) + T = 1

Simplify by 2

27/40 + T = 1

T = 1 - 27/40

Multiply one by 40 to get a common denominator

T = (40-27)/40

T = 13/40

So they have tied 13/40 of the time


Related Questions

Solve the equation for X. 2(2x-4)=3(x+4) A -4 B 4 C 20 D 6

Answers

Answer:

X=20

Step-by-step explanation:

The answer is C

I NEED HELP ASAP PLEASE

Answers

Answer:

D. x^2 - 6x + 7.

Step-by-step explanation:

The roots are 3 plus or minus sqrt(2). That means the equation is...

(x - [3 + sqrt(2)]) * (x - [3 - sqrt(2)])

= [x - 3 - sqrt(2)] * [x - 3 + sqrt(2)]

= x^2 - 3x - xsqrt(2) - 3x + 9 + 3sqrt(2) + xsqrt(2) - 3sqrt(2) - (sqrt(2))^2

= x^2 - 3x - 3x + 9 - 2 - xsqrt(2) + xsqrt(2) + 3sqrt(2) - 3sqrt(2)

= x^2 - 6x + 7.

Hope this helps!

Which ideas from the excerpt would be most appropriate to include in a summary? Select three options. Popular novels from the past often ask provocative questions that are important to consider today. Many Americans have given up and say that the nation is no longer great or a land of dreams. John Wayne, nicknamed Duke, was an iconic Hollywood actor and filmmaker. President Reagan believed that John Wayne would argue that he was not the last American hero, because there are many more. Duke Wayne died as a symbol of the Hollywood dream industry.

Answers

Answer:

Short answer A,B,D

Step-by-step explanation:

The ideas from the excerpt would be most appropriate to include in a summary are;

Popular novels from the past often ask provocative questions that are important to consider today. Many Americans have given up and say that the nation is no longer great or a land of dreams. President Reagan believed that John Wayne would argue that he was not the last American hero, because there are many more.

What is a summary of a passage?

Summary is known to be a form of quick or short review of what has happened in a specific passage.

The summary  is regarded as a statement that present the main points of a passage as seen above.

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How do i solve this? F (x)=x³-2x²+x+1, then f (-x)=

Answers

Step-by-step explanation:

F (x)=x³-2x²+x+1,

Then F (-x)= - x³ - 2x² - x + 1

Tell me if I'm right.

Hope this helps.

Have a great day!

These two polygons are similar.
Find the value of z.
z = [?]

Answers

Answer:

Definitely 3 hmmm..

Step-by-step explanation:

6/2=3 so 9/z=3

tfo 9/3=3

The missing variables have values of 12, 5, 9, and 3, respectively, for x, y, w and z.

Given that there are two similar polygons with dimension:

Larger polygon = 9, 6, w, 15, x.

Smaller polygon = z, 2, 3, y, 4.

We need to find the missing value of the side length.

According to the definition of the similar polygons, the corresponding sides shows proportionality.

9/z = 6/2 = w/3 = 15/y = x/4

Solving for each variable =

i) Solve for z:

9/z = 6/2

Cross-multiplying:

6z = 9 × 2

6z = 18

Dividing both sides by 6:

z = 18/6

z = 3

ii) Solve for w:

6/2 = w/3

Cross-multiplying:

2w = 6 × 3

2w = 18

Dividing both sides by 2:

w = 18/2

w = 9

iii) Solve for y:

6/2 = 15/y

Cross-multiplying:

6y = 30

Dividing both sides by 6:

y = 5

iv) Solve for x:

6/2 = x/4

Cross-multiplying:

2x = 24

Dividing both sides by 2:

x = 12

Hence the values of the missing variables are x = 12, y = 5, w = 9 and z = 3.

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The ratio of men to women working for a company is 7 to 5 . If there are 90 women working for the company, what is the total number of employees?

Answers

Answer:

The Total of employees

=216 employees

Step-by-step explanation:

Ratio of men to women is 7 to 5

Meaning

Men/women= 7/5

If their are 90 women

Let men= x

X/women= 7/5

X= women *7/5

X= 90*7/5

X= 18*7

X= 126

There are a total of 126 men

The Total of employees=men + women

The Total of employees=126+90

The Total of employees

=216 employees

A manufacturing company has an old machine which produces 25 components per hour. The company has recently installed a new machine which produces 35 components per hour. Yesterday, both machines were in operation for different periods of time. If 430 components were produced when the total number of hours of operation was 14 hours, determine for how many hours each machine was in operation

Answers

Answer: old machine 150, new machine 280

Step-by-step explanation:

given data:

Old machine = 25t

New machine = 35t

where t = hrs

we dont know the time for old machine so we assume it to be ( t ),

while that of the new machine is ( 14-t ) hours for new machine, and sum of 430 components.

therefore;

25t +490 - 35t = 430

-10t = -60

divide both sides by -10

t = 6 hours for the first machine.

6hrs * 25 components /hr

= 150 component parts For old machine.

for new machine

= 14 - t ........... eq1.

where ( t = 6 ), substitute t into the equation

= 14 - 6

= 8 hours for the second machine

= 8 * 35

= 280 components parts

really really need help!!!! Which Venn diagram has a shaded region that represents X n Z????

Answers

The answer is Diagram 4 or D

Explanation:

A Venn diagram is a type of model that represents sets, and their relationships. Additionally, each set is usually named with a letter and symbols such as ∪ or ∩ are used to represent specific zones of the diagram. In the case of the symbol ∩, this is used to represent the intersection between two sets. This means X ∩ Z represents the intersection between X and Z. Therefore, the correct representation is the fourth diagram, which shows in red only the intersection between these two sets.

Answer:

See below.

Step-by-step explanation:

None of the choices represent the intersection of sets X and Z, so there is some mistake with this problem. The question is not correct for these choices.

PLEASE EXPLAIN IN DETAILS HOW TO SOLVE LINEAR INEQUALITIES. Heres an example problem. Please solve and show your steps/explain.
6(x+8) ≥ ‒43+4x

Answers

Answer:

[tex]x \geq -91/2[/tex]

Step-by-step explanation:

[tex]6(x+8) \geq -43 + 4x[/tex]

Resolving Parenthesis

[tex]6x+48 \geq -43 + 4x[/tex]

Collecting like terms

[tex]6x - 4 x \geq -43-48[/tex]

[tex]2x \geq -91[/tex]

Dividing both sides by 2

[tex]x \geq -91/2[/tex]

Answer:

x ≥ - 91 / 2

Step-by-step explanation:

In this sample problem, the first thing we want to do is expand the part in parenthesis through the distributive property. This will make the simplification process easier. Another approach would be to divide either side by x + 8, but let's try the first.

Approach 1 : [tex]6(x+8) = 6x + 6 8 = 6x + 48[/tex]

[tex]6x + 48 \geq - 43+4x[/tex] - so we have this simplified expression. We now want to isolate x, so let's combine common terms here. Start by subtracting 6x from either side,

[tex]48 \geq - 43-2x[/tex] - now add 43 to either side,

[tex]91\geq -2x[/tex] - remember that dividing or multiplying a negative value changed the inequality sign. Dividing - 2 on either side, the sign changes to greater than or equal to, with respect to x,

[tex]- 91 / 2 \leq x[/tex], or in other words [tex]x \geq - 91 / 2[/tex]. This is our solution.

In a sequence, the 40th term is 70, the 41st term is 72 and the 42nd term is 74.


a) State the term-to-term rule

b) Work out the first term

c) Work out the 80th term

Answers

Answer:

term to term rule is +2

The first term is -8

80th term is 150

Step-by-step explanation:

70 to 72 is adding 2

72 to 74 is adding 2

term to term rule is +2

The equation for a sequence like this is

xn = a + d(n−1)

where n is the term number  a is the first term and d is the term to term rule

Using the 40th term is 70

70 = a + 2( 40-1)

70 = a + 2( 39)

70 = a + 78

Subtract 78 from each side

-8 = a

The first term is -8

80th term

xn = a + d(n−1)

x80 = -8 +2 (80-1)

     = -8+2(79)

    = -8+158

   = 150

Solve the system using multiplication for the linear combination method. 6x – 3y = 3 –2x + 6y = 14 What is the solution to the system

Answers

Answer:

work is shown and pictured

Correct Answer would be

D: (2,3)

Solve the given simultaneous equations : 2x + 3y = 17 ; 3x - 2y = 6

Answers

Answer:

x= 4, y=3

Step-by-step explanation:

2x + 3y = 17

3x - 2y = 6

----------

If we double the first and triple the second equation, and add up, we can get rid of y:

4x+6y= 34+9x - 6y= 18-----------------13x= 52x= 4

Then it is easy to find the value of y:

2*4+3y= 173y= 9y= 3

Answer is: x= 4, y=3

Imagine you have a data set with 9,987 names. The data set is sorted alphabetically. You want to find out if the name "David Joyner" is in the data set. Using a linear search, what is the minimum number of names we might have to check?

Answers

Answer:

  1

Step-by-step explanation:

David Joyner might be the first name, so you may only have to check 1 name.

A fair die is rolled. What is the probability of rolling a 3 or a 4?

Answers

Answer:

2/6 which when simplified, is equal to 1/3

Answer:

1/3

Step-by-step explanation:

the initial population of a town is 16,237 and it grows with a doubling time of 24 years. what will the popluation be in 2 years.

Answers

Answer: 17,203 people

Step-by-step explanation:

The formula for solving this is;

[tex]P(t) = P_{0} (2)^{t/dt}[/tex]

Where;

P(t) is the population at time t

[tex]P_{0}[/tex] is the initial population

t is the year of interest

dt is the amount of time it takes to double.

[tex]P(t) = P_{0} (2)^{t/dt}[/tex]

[tex]P(2) = 16,237 (2)^{2/24}[/tex]

=  17,202.50

= 17,203 people

Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal? Round to the nearest tenth of a percent.

Answers

Answer:16.1%

Step-by-step explanation:

Answer:

The investment needs the rate of growth to be approximately 16.1%.

Step-by-step explanation:

Help please!!!!!!! Thxxxxx

Answers

Answer:

x= 155°

straight line equals 180°

since you have a side that equals to 25°

you subtract

180°-25° = 155°

6th grade math , help me please :)

Answers

Answer:

a= 7/20

b=35

Step-by-step explanation:

A was simple because 7 people with blue eyes for every 20 people written in fraction form. For b they say what if it was 100 total people so 20 x 5 = 100 so 7 x 5= 35 so your answer to b is 35

An important proportion that the ancient Greeks used was the

Answers

the ancient Greek used the golden ratio

Answer:

An important proportion that the Ancient Greeks used was the Golden Mean, the a0

Step-by-step explanation:

Also known as Golden Ratio, Divine Proportion, or Golden Section

a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the equation of the parabola.

Answers

Answer:

The standard equation of the parabola is:

[tex]y=-\frac{3}{2}x^2+12x-18[/tex]

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

[tex]y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2[/tex]

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

[tex]y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}[/tex]

Then the equation of the parabola becomes:

[tex]y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18[/tex]

Digital music distribution provides an opportunity for everyone to get their music heard. In order to get on a service like iTunes, one needs to pay for distribution through a service like Tunecore or CD Baby. These services make sure that your music is heard in the different platforms. Suppose the distributor charges the artist a $50.00 cost for distribution, and the streaming services pays $4.00 per one thousand streams. Model the profit for the total number of streams by answering the questions below: Use the cost for distribution to build your y-intercept. What is the y-intercept? Hint: the y-intercept is a point on the y axis, so your answer should be an ordered pair. Hint: you have to keep in mind that any time you pay for something, you are SPENDING money, if your y-intercept is incorrect, all your numbers will be off Use the payment per thousand streams to build your slope. What is the slope? Use the slope-intercept format (y = mx + b) to give the equation of the line. What is the equation of this line? Graph the line by adjusting the sliders below. Show your line by attaching an image below. After how many streams will you pay for the distributor charges? (hint: this is where the line crosses the x-axis, round to the nearest thousand) How many streams would it take to profit $300,000? Challenge Question: In 2019, Old Town Road became one of the most streamed songs of all time passing the previous record holders, Despacito and One Sweet Day. The second week the song was #1, it set an all time streaming record. It was streamed 143 million times (143,000,000) in the US, nearly 30 million higher than the previous record holder Drake, In My Feelings. Calculate the profit earned using these numbers. (Hint: use the slope intercept format to build this equation).

Answers

Answer:

the answer is 1.00

Step-by-step explanation:

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Four friends are on a basketball team. During a game, each friend kept track of how many shots they attempted and how many of those attempts they made. Henry made 0.45 of his shots. Allison made Arthur made of her shots. of his shots. Trevor missed 58% of his shots. Which friend had the best record for the number of shots made?

Answers

Answer:

Henry had the best record for the number of shots made

Step-by-step explanation:

From the given information.

Four friends are on a basketball team.

Henry

Allison

Arthur

Trevor

We are being told that Henry made 0.45  of his shots out of all his attempts

Allison made Arthur made of her shots  of his shots.

i,e Arthur did the work for Allison , so out of Arthur's shot , we have to  figured out Allison shots,

Trevor missed 58% of his shots.

i.e Trevor failed 0.58 of his shot, If he failed 0.58 shot

Then the attempts Trevor made is :

= 1 - 0.58

= 0.42

SO , Trevor made 0.42 shots out of all his attempt

N:B We are not given any information about Arthur's shots , so we can't determine Allison shot as well.

Therefore; we will focus on only Henry and Trevor shots

So ;

Henry made 0.45  of his shots

Trevor made 0.42 out of his shots

We can thereby conclude that :

Henry had the best record for the number of shots made

At time, t=0, Billy puts 625 into an account paying 6% simple interest. At the end of year 2, George puts 400 into an account paying interest at a force of interest, δt=16+t for t≥2. If both accounts continue to earn interest indefinitely at the levels given above, the amounts in both accounts will be equal at the end of year n. Calculate n.

Answers

Answer:

26

Step-by-step explanation:

Given that:

At time, t=0, Billy puts 625 into an account paying 6% simple interest

At the end of year 2, George puts 400 into an account paying interest at a force of interest, 1/(6+t), for all t ≥ 2.

If both accounts continue to earn interest indefinitely at the levels given above, the amounts in both accounts will be equal at the end of year n. Calculate n.

In order to calculate n;

Let K constant to be the value of time for both accounts

At  time, t=0, the value of time K when Billy puts 625 into an account paying 6% simple interest is:

[tex]K = 625 \times (1+ 0.06 K)[/tex]

[tex]K = 625 +37.5 K[/tex]

At year end 2; George  amount of 400 will grow at a force interest, then the value of  [tex]K = 400 \times e^{\int\limits^2_k {\dfrac{1}{6+t}} \, dx }[/tex]

[tex]K =400 \times \dfrac{6+K}{6+2}[/tex]

[tex]K =400 \times \dfrac{6+K}{8}[/tex]

[tex]K =50 \times ({6+K})[/tex]

[tex]K =300+50K[/tex]

Therefore:

If K = K

Then:

625 + 37.5 = 300 +50 K

625-300 = 50 K - 37.5 K

325 = 12.5K

K = 325/12.5

K = 26

the amounts in both accounts  at the end of year n = K = 26

match the inequality, x²≥0, with it's equivalent interval notation​

Answers

Answer:

[tex](-\infty, \infty)[/tex]

Step-by-step explanation:

Every number, when you raised to the second power is positive, therefore that inequality would be all real numbers.

[tex](-\infty, \infty)[/tex]

3 + 5x, for x = 10

A. 350

B. 120

C. 53

D. 75

Answers

Answer:C

Step-by-step explanation:

Pemdas

3+5(10)

5*10=50

3+50=53


Which of the following is a correct tangent ratio for the figure?

Answers

Answer:

C) tan(39°) = 11/15

Step-by-step explanation:

SohCahToa

tangent = opposite / adjacent

The given angle is 39°. The angle directly opposite of 39° is 11 and the angle adjacent to 39° is 15.

Answer:

tan(39°) = 11∕15

Step-by-step explanation:

Determine the values of \theta if sec\;\theta=-\frac{2}{\sqrt{3}}.

Answers

Answer:

See below.

Step-by-step explanation:

So, we have:

[tex]\sec(\theta)=-2/\sqrt{3}[/tex]

Recall that secant is simply the reciprocal of cosine. So we can:

[tex]\cos(\theta)=(\sec(\theta))^{-1}=(-2/\sqrt{3})^{-1}\\\cos(\theta)=-\sqrt{3}/2[/tex]

Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.

Therefore, the possible values for theta is

5π/6 +2nπ

and

7π/6 + 2nπ

PLS HELP!!!!ILL MARK YOU THE BRAINLISt

Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y minutes, what portion of the leaves do they rake in one minute if they work together?

Answers

Answer:

(x+y)/xy or  (1/x + 1/y) portion of the leaves

Step-by-step explanation:

Let the total work done to rake the leaves be a for representation.

Thus,

given Maya takes x minutes to rake the leaves

thus,

work done by may in x minutes = a

dividing both side by x

work done by maya in x/x = 1 minutes = a/x

similarly

given Calra takes y minutes to rake the leaves

thus,

work done by may in y minutes = a

dividing both side by y

work done by maya in y/y = 1 minutes = a/y

__________________________________

Total work done by both in 1 minutes = a/x + a/y = a(1/x+1/y) = a(x+y)/xy

Thus, if a is the total work , then they do (x+y)/xy of a work in one minute.

Thus, (x+y)/xy portion of leaves do they rake in one minute if they work together.

When a fish is selected at random from a tank, the probability that it has a green tail is 0.54, the probability that it has red fins is 0.18, and the probability that it has both a green tail and red fins is 0.02. What is the probability that the selected fish will not have a red fin or a green tail? A) 28% B) 70% C) 2% D) 30%

Answers

Answer:

the answer is C

Step-by-step explanation:

hope this helps

The probability that the selected fish will not have a red fin or a green tail is 0.30.

To find the probability.

What is probability?

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.

Given that:

G=fish has green tail

R=fish has red fin

G^R = fish has both a red fin and a green tail

P(G)=.54

P(R) = .18

P(G^R) = .02

P(GvR) = P(G) + P(R) - P(G^R) = .54 + .18 - .02 =

P(GvR) =.72 - .02 = .7

P(neither G nor R) = 1-.7 = .3 = 30%

So, the probability that the selected fish will not have a red fin or a green tail is 0.30.

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Choose the correct equation for the parabola based on the given information. Given: Focus:(4,-3) Vertex: (-2,-3) a. 24(y+3) = (x+2)^2 b. 24(x+2)=(y+3)^2 c. 6(x-4)= (y+3)^2 d. 6(y+3)=(x-4)^2

Answers

Answer:  b.  24(x + 2) = (y + 3)²

Step-by-step explanation:

Vertex: (-2, -3)

Focus:  (4, -3)

                  ↓

                same y-value so equation will be y²

Equation: a(x - h) = (y - k)²

a = 4p where p is the distance from Vertex to Focush is the x-coordinate of the Vertexk is the y-coordinate of the Vertex

Given: h = -2,  k = -3,   a = 4[4 - (-2)] --> a = 24

Input those values into the equation:  24(x + 2) = (y + 3)²

 

Other Questions
The e developmet of agriculture is known as the......... revolution. Machine Replacement Decision A company is considering replacing an old piece of machinery, which cost $600,700 and has $350,700 of accumulated depreciation to date, with a new machine that has a purchase price of $484,500. The old machine could be sold for $62,600. The annual variable production costs associated with the old machine are estimated to be $155,100 per year for eight years. The annual variable production costs for the new machine are estimated to be $102,300 per year for eight years. a.1 Prepare a differential analysis dated May 29 to determine whether to continue with (Alternative 1) or replace (Alternative 2) the old machine. If an amount is zero, enter "0". If required, use a minus sign to indicate a loss. Differential Analysis Continue with Old Machine (Alt. 1) or Replace Old Machine (Alt. 2) May 29 Continue with Old Machine (Alternative 1) Replace Old Machine (Alternative 2) Differential Effects (Alternative 2) Revenues: Proceeds from sale of old machine $ $ $ Costs: Purchase price Variable productions costs (8 years) Profit (Loss) $ $ $ a.2 Determine whether to continue with (Alternative 1) or replace (Alternative 2) the old machine. b. What is the sunk cost in this situation michael's Inc. just paid $2.75 to its shareholders as the annual dividend. Simultaneously, the company announced that future dividends will be increasing by 5.9 percent. If you require a rate of return of 10.1 percent, how much are you willing to pay today to purchase one share of the company's stock? For the reaction 2KClO3 - 2KCI+ 302 how many moles of potassium chlorate arerequired to produce 107.9 g of oxygen?Select one:O a. 2.26Ob. 3450O c. 1150Od. 6.74 perform the division...please! Select the correct answer. Which phrase best defines characterization? A. the way an author describes the conflict a character experiences B. the way in which a character changes over time, especially when conflicts arise C. the way new characters are first introduced in a work of literature D. the way an author describes or conveys a characters traits A data-entry clerk spends $86 per week for food. This is 20% of his weekly income. What is the weekly income? Show work please : Nidal Company reported inventory in the 2020 year-end balance sheet, using the FIFO method, as $185,000. In 2021, the company decided to change its inventory method to average cost. If the company had used the average cost method in 2020, ending inventory would have been $171,000. What adjustment would Nidal make for this change in inventory method The distribution of Levites among the people and the establishment of cities of refuge were to help ensure spiritual, social, and civil justice in the future.a. Trueb. False Jessicas plane and Kaylas plane take off at the same time. Laurens plane leaves 1 hour earlier than Marias plane. Marias plane leaves at least 2 hours after Kaylas plane. Each person flight last 8 hours. Marias flight lands at 4:45pm. What is the true statement? assume that the salaries of elementary school teachers in the united states are normally distributed with a mean of Explain ways that computer-related errors are associated with the people using those computers. Contrast that with errors made by the computer systems directly. (30 POINTS!!!) One press can run the days newspapers in 6 hours, while another can do the same job in 8 hours. After running together for 2 hours to complete the job, the faster one breaks. How much longer must the slower press run to finish the newspapers? Solve of the following equations for x: 2 x = 3 Why does Schlosser provide this piece of information in the Introduction toFast Food Nation? A person has a bag containing dimes and nickels. There are a total of 106 coins in the bag, and the total value of coins is $7.90. How many dimes and nickels are in the bag? Solve the system of equations below x - y = 5 2x - 3y = 4 who was a sole practitioner, about representing him before a governmental board. Due to a conflict of interest arising from the attorneys recent service on the board, the attorney declines to represent the businessman in the current matter? Bella leaves her office building only to find it is raining. She returns to her office and gets a trash bag out of the supply cabinet. Using a pair of scissors, she cuts the bag so that she can put her head and arms through the bag without getting wet. In using the trash bag as a makeshift rain jacket, Bella has overcome ____ what is 5/14 mulitypled by 4 in simplest form