Please help and please hurry I have to submit it soon: The price of Stock A at 9 A.M. was ​$15.01. Since​ then, the price has been increasing at the rate of ​$0.13 each hour. At noon the price of Stock B was ​$15.76. It begins to decrease at the rate of ​$0.09 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Answer 1

Answer: 8.3 hours

Step-by-step explanation: 15.76-15.01 is 0.75

Now just divide 0.75 from 0.09 and you get 8.3

Answer 2

Answer:

Step-by-step explanation:

Stock A= $15.01 increases by $0.13 an hour. $15.14

Stock B =$15.76 decreases by $0.09 an hour $15.65

15.65-15.14= 0.51


Related Questions

in the month of januray, i were able to sell 1,200 desserts. In februaryc, your dessert sales increased to 1,500. What is the percent of change

Answers

The increment in the percentage of dessert sales will be 25%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

I was able to sell 1,200 desserts throughout the month of January. Your dessert sales jumped to 1,500 in February.

Then the increment in the percentage will be given as,

P = [(1500 - 1200) / 1200] x 100

P = (300 / 1200) x 100

P = 0.25 x 100

P = 25%

The increment in the percentage of dessert sales will be 25%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

17+|-12--5|--6
show how you got the answer

Answers

Answer:

I'm assuming the double minus marks meant 5 and 6 were negative. Answer is 30.

Step-by-step explanation:

[tex]17+\abs(-12--5)-(-6)\\17+\abs(-12+5)-(-6)\\17+\abs(-7)-(-6)\\17+7-(-6)\\17+7--6\\24--6\\24+6\\30[/tex]

Answer:The answer would be 28

Step-by-step explanation:17-6 is 11

                                            The absolute value of -12-5 is 17

                                               17+11=28

                                            So therefore the answer would be 28.

What is the result of adding these two equations can you please answer

Answers

the answer is -2x-7y=-4

An isosceles triangle has at least two congruent sides. The perimeter of a certain isosceles triangle is at
most 12 in. The length of each of the two congruent sides is 5 in. What are the possible lengths of the
remaining side?

Answers

x ≤ 2  but must be greater than 0 .  triangles are the possible lengths of the remaining side.

How is an isosceles triangle defined?

Any triangle with (at least) two equal sides is said to be isosceles. The remaining side in the illustration has length in addition to the two equal sides. This characteristic equates to the triangle's two angles being equal.

The length of one of the congruent side is 5

The total length of two congruent sides is 10

Perimeter at the most is 12 (meaning the maximum length of perimeter is 12)

The third side of the triangle must be 12-10 = 2 at the most

Writing this requirement as inequality we have

x ≤ 2  but must be greater than 0

Learn more about isosceles triangle

brainly.com/question/2456591

#SPJ9

find the length s of the arc that subtends a central angle of measure 6 rad in a circle of radius 4 cm.

Answers

The length of the arc for the given circle is 24cm.

What is the length of an arc of a circle?The Arc length refers to the distance between two points on a section of a curve or a circle.Length of the arc (L) = r Θ, where r = radius of the curve, Θ = angle subtended by the arc at the centre of the curve in radians.

Given:

Angle = 6 radians = ΘRadius of circle = 4cm = r

To find: Length of the arc.

Finding:

On substituting the values of r and Θ in the formula of length of the arc, we get:

L = 4(6) = 24 cm.

Hence, the length of the arc for the given circle is 24cm.

To learn more about the length of an arc, refer to the link:https://brainly.com/question/2005046

#SPJ4

The distribution of random variable r has mean 10 and standard deviation 4. The distribution of random variable s has mean 7 and standard deviation 3. If r and s are independent, what are the mean and standard deviation of the distribution of r−s ?.

Answers

If [tex]X,Y[/tex] are independent, we have the properties for expectation and variance,

[tex]\Bbb E[aX + bY] = a\,\Bbb E[X] + b\,\Bbb E[Y][/tex]

[tex]\Bbb V[aX + bY] = a^2\,\Bbb V[X] + b^2\,\Bbb V[Y][/tex]

where [tex]a,b\in\Bbb R[/tex] are fixed.

Then

[tex]\Bbb E[R - S] = \Bbb E[R] - \Bbb E[S] = 10 - 7 = \boxed{3}[/tex]

and

[tex]\Bbb V[R - S] = \Bbb V[R] + (-1)^2\, \Bbb V[S] = 4^2 + 3^2 = \boxed{5}\,{}^2 = 25[/tex]

(recall that standard deviation = √(variance))

a box has four cards numbered 1, 2, 3, and 4. greg will toss a coin once and record the toss as heads (h) or tails (t). then he will randomly pick a card from the box and record the number chosen. give the sample space describing all possible outcomes. then give all of the outcomes for the event that the number chosen is 3. use the format h1 to mean that the coin toss is heads and the number chosen is 1. if there is more than one element in the set, separate them with commas.

Answers

Sample space when a coin is tossed is {H, T}

Sample space for drawing a card is {1, 2, 3, 4}

Sample space = {H1, H2, H3, H4, T1, T2, T3, T4}

Event that the coin toss is tails = {H1, H2, H3, H4}

The sample space describing all possible outcomes are (H1, H2, H3, H4, T1, T2, T3, T4).

What do you mean by fair coin?

A series of independent Bernoulli trials with a chance of 1/2 on each trial is referred to as a fair coin in probability theory and statistics. A biased or unjust coin is one for which the probability is not equal to one-half.

The presumption that a coin is fair is sometimes made by making reference to an ideal coin in theoretical investigations. When John Edmund Kerrich experimented with flipping coins, he discovered that 679 times out of 1000, a coin fashioned of a wooden disc the size of a crown that was coated with lead on one side landed heads (wooden side up).

To learn more about the fair coin, Visit:

https://brainly.com/question/1360418

#SPJ4

is this a function or not explain why

Answers

No this is not a function because it does not pass the vertical line test…
doesn’t pass vertical line check so no

i need help
sum body help

Answers

The answe is the fist question

Answer:

p = independent

t = dependent

The amount of hired truckers will depend on the amount of produce that has to be shipped from California to New York.

Hope this helps :)

Last week, Pablo drove 115 miles. This week, he drove k miles. Using k, write an expression for the total number of miles he drove in the two weeks. 2-Step Equation find me an answer or sum, and givve me 5 stars.

Answers

The expression for the total number of miles Pablo drove in the two weeks is (115+k) miles.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that Last week, Pablo drove 115 miles. This week, he drove k miles. Therefore, the total number of miles for which Pablo drove can be written as,

Total number of miles = Number of miles last week + Number of miles this week

                                    = 115 miles + k miles

                                    = (115 + k) miles

Hence, the expression for the total number of miles Pablo drove in the two weeks is (115+k) miles.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ1


10 ≤ 3x + 4 < 25
How do I solve

Answers

Answer: 2 ≤ x < 7

Step-by-step explanation:

10 ≤ 3x + 4 < 25  ==> solve for x, so work to isolate the x variable

10-4 ≤ 3x + 4-4 < 25-4

6 ≤ 3x < 21

6/3 ≤ 3x/3 < 21/3

2 ≤ x < 7

Answer:

I believe it's [2, 7). It has to be solve differently.

Tim (t), isaac (i), and hannah (h) all sell individual insurance policies. isaac sells four times as much as tim, and hannah sells three times as much as isaac. create an equation in terms of tim (t) in order to find the portion he sells.

Answers

Using proportions, the equation in terms of Tim is given by:

T(t) = 17t.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we have that:

Isaac sells four times as much as Tim, hence I = 4t.Hannah sells three times as much as Isaac, hence H = 3I = 3 x 4t = 12t.

Hence the total amount, as a function of Isaac's amount, is given by:

T(t) = I + H + t

T(t) = 4t + 12t + t

T(t) = 17t.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

the length of a rectangle is 2 feet less than the three times length express the area of the rectangle as a function of its width, using correct function notation

Answers

The area of the rectangle as a function of its width is  a=3b-2.

[tex]s=(3b-2)b\\=3b^{2}-2b[/tex]

[tex]a=3b-2[/tex]

What is the advantages of area ?

Area is significant in contemporary mathematics. Aside from its obvious significance in geometry and calculus, area is also a fundamental characteristic of surfaces in differential geometry and is connected to the definition of determinants in linear algebra. The amount of space within a form is measured by its area.

To learn more about area, visit

brainly.com/question/4788771

#SPJ4

In a proportional relationship when x=6 we know that y=14

Answers

Answer:

Given that y varies proportionally with  x , with a constant of proportionality k=13 , find y when x=12 .

Write the equation of the proportional relationship.

The variable x varies proportionally with y with a constant of proportionality equal to 13

So,

Substitute the given x value.

Step-by-step explanation:

Help If u can please show ur work thank you

Answers

Answer:

Step-by-step explanation:

give an example of 2 inequalities that are equivalent inequalities

Answers

-4x < or = to -1 and x > or = 1/4

Explation

-4x/4 < or = to -1/-4 x > or = to 1/4

The use of electricity in the US in 1902 was 6.03 x 10^9 kilowatt-hours.

The use of electricity in the US in 1950 was 4.3 x 10^11 kilowatt-hours.

How many times more was the electricity used in 1950 than 1902? Express your answer in Scientific Notation.



a. 7.131 x 10

b. 10.33 x 10^20

c. 1.73 x 10^2

d. 2.6 x 10^20

Answers

Using scientific notation , the electricity used in 1950 was 7.131 × 10¹ times more than that used in 1902 .

Values that are either too huge or too little to be conveniently expressed in decimal form can be expressed using scientific notation (typically would result in a long string of digits). It is also referred to as scientific form, standard index form, and standard form in the UK. This base ten notation is often used by scientists, mathematicians, and engineers because it can make various mathematical procedures easier.

One can represent exceedingly large or extremely small quantities using scientific notation. In scientific notation, the result of multiplying an integer between 1 and 10 by a power of 10 is written. For instance, in scientific notation, 35,000,000 can be written as 3.5× 10⁷.

Given that the use of electricity in the US in 1902 was 6.03 x 10⁹kilowatt-hours and the use of electricity in the US in 1950 was 4.3 x 10¹¹ kilowatt-hours.

These are both represented in scientific notation.

Now we have to divide to find the number of times more electricity is used.

(4.3 x 10¹¹) ÷ (6.03 x 10⁹)

= 71.31011...

≈ 7.131 × 10¹

Hence the scientific representation is given by 7.131 × 10¹ times.

To learn more about scientific notation visit:

https://brainly.com/question/18073768

#SPJ1

Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $65 to come to his house and $55 for every hour they work. If the plumber charges Jerald a total of $296, how many hours did the plumber work? Write and solve an equation to determine the number of hours worked by the plumber.

A 55x − 65 = 296; x = 6.6 hours
B 55x + 65 = 296; x = 4.2 hours
C 65x − 55 = 296; x = 5.4 hours
D 65x + 55 = 296; x = 3.7 hours

Answers

Answer:

B 55x + 65 = 296; x = 4.2 hours

Step-by-step explanation:

The equation to determine the number of hours worked by the plumber is 65 + 55x = 296.

The number of hours worked by the plumber is 4.2

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Charges for home visit = $65

Charges for each hour = $55

Let the number of hours = x

Total charges = $296

We can make an equation:

65 + 55x = 296

The number of hours can be calculated.

65 + 55x = 296

Subtracting 65 on both sides.

65 + 55x - 65 = 296 - 65

55x = 231

Dividing both sides by 55.

x = 231 / 55

x = 4.2

Thus,

The equation to determine the number of hours worked by the plumber is 65 + 55x = 296.

The number of hours worked by the plumber is 4.2

Option B is the correct answer.

Learn more about equations here:

https://brainly.com/question/14686792

#SPJ2

What is the greatest common factor of 44 and 22?

Answers

Answer:

The greatest common factor of 44 and 22 is 22.

Step-by-step explanation:

First, you should list all the factors of 44 and 22. For 44, the factors are: 1, 2, 4, 11, 22 and 44

For 22, the factors are: 1, 2, 11 and 22

The greatest common factor is 22.

Answer: 22

Step-by-step explanation:

In order to find GCF of 44 and 22, take the prime factorization of the two numbers

22: 11*2

44: 11*4=11*2*2

Notice they both have 11*2 in their prime factorization.

11*2=22

GCF of 44 and 22 is 22

image below, what are the domains and ranges?

Answers

Answer:

1. domain: -6 ≤ x ≤ 7

range: -6 ≤ y ≤ 4

2. domain: 5 > x

range: -5 < y

Step-by-step explanation:

1. domain: the farthest number left that the line reaches is -6, while the farthest right is 7. due to the line being closed as well as the points being filled in, you use the less than or equal to sign.

range: the farthest number down that the line reaches is -6, while the farthest is goes up is 4. again, since the points are filled in, you use the "or equal to" sign.

2. domain: since the only plotted point is 5, and the point is not filled in, you would say that 5 is greater than x due to the direction that the line moves

range: the lowest part of the line touches -5 and only goes up from there, therefore y is greater than -5

Which expression is equivalent to
3√50 x √22

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

lets solve ~

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{50} \times \sqrt{22} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{2 \times 5 \times 5} \times \sqrt{2 \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \sqrt{2 \times 2 \times 5 \times 5 \times 11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times 2 \times 5 \times \sqrt{11} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 30 \sqrt{11} [/tex]

if you draw two cards from a deck, what is the probability that you will get the ace of diamonds and a black card?

Answers

The probability that the ace of diamonds and a black card will come is 1 / 51 .

Case A :

probability of first getting an ace of diamonds = 1 / 52

probability of getting a black card given first card is ace of diamond = 26 / 51

Hence , probability that the ace of diamonds and a black card will come is  ( 1 / 52 ) * ( 26 / 51 ) = ( 1 / 102 )

Case B :

probability of first getting a black card = ( 26 / 52 )

probability of getting an ace , given first card is a black card = ( 1 / 51 )

Hence , the probability that the ace of diamonds and a black card will come is  ( 26 / 52 ) * ( 1 / 51 ) = ( 1 / 102 )

P ( A ∪ B ) = P ( A ) + P (B ) + P ( A ∩ B )

                  = ( 1 / 102 ) + ( 1 / 102 )

                = 1 / 51 .

To learn more on probability go to :

https://brainly.com/question/24756209

#SPJ4

Find the distance between
the two points rounding to the nearest tenth (if necessary).
(8, 7) and (1, -2)

Answers

Answer: 11.4

Step-by-step explanation:

walter, agnes, and holly are making beaded lizards. walter has 476 green beads and 32 red beads. agnes has 104 green beads and 16 red beads. holly has 281 green beads and 80 red beads. they all share their beads so as to make the largest possible number of lizards. if a beaded lizard requires 94 green beads and 16 red beads, what is the number of green beads left over?

Answers

The number of green beads left over = 15

Walter:

Number of green beads = 476

Number of red beads = 32

Agnes:

Number of green beads = 104

Number of red beads = 16

Holly:

Number of green beads = 281

Number of red beads = 80

Total number of red beads = 32+16+80 = 128 beads

Number of red beads required for making one lizard = 16

Since 128/16 = 8 , there will be no red beads left after making 8 lizards.

Total number of green beads = 476+104+281 = 861 beads

Number of green beads required for making one lizard = 94

Now 861/94 = [tex]9\frac{15}{94}[/tex]

That is , 15 is the remainder when 861 is divided by 94

So there will be 15 green beads left after making 9 lizards.

Therefore, the number of green beads left over = 15

Learn more remainder problems at https://brainly.com/question/14462792

#SPJ4

Nora left her house and drove to the store. She stopped and Went inside . From there, she drove in the same direction until she got to the bank. She stopped it and went inside the bank. Then she drove home. The graph below shows the number of blocks away from home Nora in X minutes after after she left her house, until she got back home. How long was Nora in the bank

Answers

I’m unsure I just need points to

[tex]9a-ab+5b if a=2 and b =7[/tex]

Answers

Answer:

If you want it graphed the answer is

andb=7

The formula wights are

mass of  1 1  mole of  9 a − a b + 5 b i f a = 2 = 0 g

Step-by-step explanation:

Which system of linear inequalities is represented by the graph?

y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x +

Answers

The system of linear inequalities is represented by the graph is y > x – 2 and y < x + 1.

What is inequality?

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

The given options are,

y > x – 2 and y < x + 1

y < x – 2 and y > x + 1

y < x – 2 and y > x + 1

y > x – 2 and y < x + 1

Since,

The linear equation of a straight line is

y = mx + c,

where m is the gradient or slope, and

y = c is the value where the line cuts the y-axis.

The formula for slope of line with points (x1,y1) and (x2,y2) can be expressed as,

m = (y2 - y1) / (x2 - x1)

Now from y > x – 2 and y < x + 1

the first line passes through (0, 1) and (0, -1)

So,slope m = (0 - 1) / (0 - 1)

⇒ m = 1

Now the line intercept y-axis at (1, 1)

So, c = 1

So,equation of line is given as,

y < x + 1

the second line passes through (0, 2) and (0, -2)

So,slope m = (0 - 2) / (0 - 2)

⇒ m = 1

Now the line intercept y-axis at (-2, 0)

So, c = -2

So,equation of line is given as,

y < x - 2

So, we get y > x – 2 and y < x + 1.

Thus, the system of linear inequalities is represented by the graph is y > x – 2 and y < x + 1.

To learn more about inequality :

https://brainly.com/question/13363104

#SPJ1

The missing graph of the question is attached.

the meteorologist made a forecast that a cold front was coming through and the temperature would steadily drop 24.8 degrees over the next six and one fourth hours. how much did the temperature drop each hour? 39.68 degrees 3.968 degrees 31.05 degrees 18.55 degrees

Answers

The temperature drop is B. 3.968 degrees each hour.

What is the temperature drop calculated?

The temperature drop per hour can be computed by dividing the total temperature drop by the number of hours over which the temperature dropped.

Data and Calculations:

The total steady drop in temperature = 24.8 degrees

Total number of hours for the temperature drop = 6¹/₄ hours

6¹/₄ hours = 6.25 hours

Temperature drop per hour = total drop/total hours of drop

= 2(4.8 ÷ 6¹/₄ hours)

= 3.968 degrees

Thus, the temperature drop is B. 3.968 degrees each hour.

Learn more about temperature drops at https://brainly.com/question/15383031

#SPJ1


Think About the Process At a te-known vacation spot, taxi fares are a bargain. A 12-mile taxi ride takes 18 minutes and costs $7.20. You want to find the cost of a 33-minute taxi ride. What unit price
do you need?

Answers

We need to find out unit price per minute and the unit price is $0.4 per minute.

According to the question we have been given that

                 12 mile taxi rides takes = 18 minutes

                   cost of 12 mile taxi ride = $7.20

Thus we need to find the mile and the cost covered in 33 minutes which will be find out by unitary method.

Thus,

               18 minutes taxi ride will cover = 12 mile

               33 minutes taxi ride will cover = 12/18*33

                                                                 =  22 miles

                  cost of  12 mile taxi ride = $7.20

   then,       cost of 22 miles taxi ride = 7.20/12 * 22

                                                          = $ 13.2

Now we need to find out the unit price which is unit price per minute.

Thus unit price is = $13.2/33

                            = $ 0.4

Hence we need to find out unit price per minute and the unit price is $0.4 per minute.

Learn more about unit price here : https://brainly.com/question/14125148

#SPJ9

Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the
GFDT below.
Lengths (mm)
Frequency
220 - 229
1
230 239
16
240 - 249
71
250 - 259
108
260 - 269
83
270 - 279
18
280 289
3
What is the lower class boundary for the first class?
class boundary =

Answers

Answer:

330-339

jakjss

js

sk

am

am

am

a

ma

ma

am

67

Other Questions
european colonization efforts in north america stimulated intercultural contact and intensified conflict between various groups of colonizers and native people evidence Which facts about the battle of the Alamo is NOT true?Select 4 correct answer(s)will mark you brainliest Battle took place over 13 daysIt ended the war for Texan IndependenceBattle took place over 1 yearAll except 100 Mexican Soldiers diedDavy Crockett fought in itThe opposing side was 5,000 Mexican Soldiers200 Texans barricaded themselves in the AlamoOnly 6 Texans diedAll except 6 Texans died From "The Garden Party"Given the subject matter of the song Jose sings (this life is weary), explain what Jose reveals about herself through her follow-up remark ("aren't I in good voice mummy? ") What would be the most effective way to improve your reading comprehension of the underlined passage from Whitman's "Specimen Days"? A. jot down the basic facts: who, what, when, where. why and how B. skip the section and hope you understand the other sections C. ask a friend what the passage means What are the first five terms of the following sequence a1=42, an=an-1-7 A line segment has the endpoints K(0, 2) and L(0, 6). Find the coordinates of its midpoint M.Write the coordinates as decimals or integers.M = How did Squanto help the settlers Find the measure of a negative angle coterminal with 180. Which statement best describes what King George III did that caused the Second Continental Congress to start drafting the Declaration of Independence?He ordered the British Army and Navy to go to North American to find and execute the colonial leaders as traitors.He issued a decree ordering the Port of Boston to be permanently closed until the colonies paid for the destruction of tea.He asked the Parliament to issue new taxes and acts on the colonies that were even more harsh than the previous ones.He rejected their attempt for peace by ignoring the Olive Branch Petition and declaring the colonies to be in rebellion. A tie fighter is traveling around Naboo with a velocity of 607 m/s. The tie fighter slows down at a rate of -7.5 m/s^2 for 14.6 s. How far did the tie fighter travel while slowing. Which statement is true for the function y = log3x some scientific tools are used for making observations,and others are used for making measurements. whivh of these tools would be most useful for observing the behavior of ants? is it A.hands lens. b.metric ruler. C.electronic balance D.graduated cylinder,And explain . jack's age next year will be twice jill's age last year. their present ages total 45. how old is each no The function h=16t^2+1936 gives an objects height h, in feet, at t seconds. When will the object be 912 feet above the ground? Find the value of the variable(s). . smith inherits a ranch in the midwest and without having seen it, wants to sell it. which is the best deed he can use to convey the ranch with the least liability to himself? select one: a. general warranty b. bargain and sale c. quitclaim d. trustee's deed What happens to Azucena by the end of the story?A. She is able to survive the tragedy and be pulled out of the mud.B. She is killed by her neighbors.C. She falls in love with Rolf.D. She dies while waiting to be rescued. The second angle of a triangle is five times as large as the first. The measureof the third angle is 12 degrees greater than that of the first angle. What isthe measurement of the largest angle? URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS Two friends are discussing physical and chemical changes Isabela says that when you eat, it is a physical change because when you chew, the food is only changed into smaller pieces Mirabel says that when you eat , it is a chemical change because your body digests the food as the chemicals in your body break down the food into energy Who is right? or Brendan watched a beetle on the sidewalk. It crawled 5/6 of a yard, then rested for a bit, and then crawled 1/3 of a yard farther. How far did the beetle crawl in all? Simplify your answer and write it as a fraction or as a whole or mixed number.