REALLY IN NEED OF HELP!! please do the best you can<3 Many companies make products to sell, either to other businesses or directly to consumers. The amount of money that a company collects from sales of its products is called its revenue. When a business produces a product, there are costs associated with production. For example, if a cola company is producing a diet cola, they incur costs from purchasing ingredients, aluminum to make cans, cardboard to make boxes, as well as the cost of paying their employees, and more. The profit that a company earns is the difference between the amount earned and the amount spent. Consider the lip color product from each of the two competing high-end cosmetic companies described below. The Alcone Company Besame Beauty This company makes a popular shade of lip color that retails for $45 per tube. The lip color costs The Alcone Company $36 per tube to make and the monthly costs associated with manufacturing just this color are $1,500. A popular shade of lip color from this company costs the consumer $55 per tube. The process to make the lip color costs Besame Beauty $44 per tube and the monthly costs associated with this are $2,200. Use the information given to explore some of the mathematical concepts you have practiced so far by answering the questions below. 1. Develop a single formula you can use to find the profit earned by both The Alcone Company and Besame Beauty for their lip color. Explain why your formula will work for both companies. 2. Write an expression that each company can use to describe the amount of money they will earn from selling their lip colors. Let x represent the number of tubes of lip color each company sells. 3. Write an expression that each company can use to describe the amount of money it costs them to manufacture the lip color each month. Let x represent the number of tubes of lip color each company sells. 4. Use your responses to questions 1, 2, and 3 to write fully simplified expressions each business could use to find their monthly profit. State which property of algebra you are using at each step. Remember that x represents the number of tubes of lip color each company sells. 5. If each company makes 225 tubes of their lip color this month, what amount of profit can they expect? Interpret your answers in terms of the problem’s context. 6. If each company makes and sells 150 tubes of their lip color this month, what amount of profit can they expect? Interpret your answers in terms of the problem’s context. 7. Explain how you used the order of operations to help you answer questions 5 and 6. 8. Explain how you figure out the number of tubes of lip color each company would need to manufacture and sell in order to earn a profit that is greater than 0. 9. Implement your plan from question 8. What is the minimum number of lip color tubes each company would need to manufacture and sell in order to earn a profit that is greater than 0? Interpret your answers in context of the question

Answers

Answer 1

Answer:

1. Profit =  Revenue - Cost

2.  For the Alcone Company Revenue = $45 × x

For the Besame Beauty Revenue = $55 × x

3.  Alcone Company; Cost = $1,500 + $36×x

Besame Beauty; Cost = $2,200 + $44×x

4)  For Alcone Company, we have;

Profit = $9 × x - $1,500

For  Besame Beauty, we have;

Profit = $11 × x - $2,200

5) For Alcone Company;

Profit= $525

For Besame Beauty;

Profit = $275

6) For Alcone Company;

Profit = -$150

For Besame Beauty;

Profit  -$550

7) Order of operations is used to ensure that the revenue is first calculated before the cost is subtracted to find the costs

8) In order to find the number of tubes that the company would need to manufacture in order to have a profit of greater than 0, we equate the expression using the inequality of greater than 0 to find the value of x that must be surpassed to have a profit greater than 0

9) For Alcone Company;

The profit will be > 0 at x = 167 tubes

For Besame Beauty;

The profit will be > 0 at x = 201 tubes

Step-by-step explanation:

The given parameters are;

The Alcone Company

The price at which the shade of lip color is sold = $45 per tube

The cost incurred to make  the lip color = $36 per tube

The monthly manufacturing cost of manufacturing the lip color = $1,500

For Besame Beauty

The price at which the shade of lip color is sold = $55 per tube

The cost incurred to make  the lip color = $44 per tube

The monthly manufacturing cost of manufacturing the lip color = $2,200

1. The formula for finding the profit is given as follows;

Profit =  Revenue - Cost

Revenue = Sale price × Number of tubes sold

Cost = The monthly manufacturing cost + The cost incurred to make the lip color × Number of tubes

2. The expression for revenue for the Alcone Company is given as follows;

Revenue = $45 × x

The expression for revenue for the Besame Beauty is given as follows;

Revenue = $55 × x

3. The expression for the cost for the manufacture of the lip color by the Alcone Company per month is given as follows;

Cost = $1,500 + $36×x

The expression for the cost for the manufacture of the lip color by the Besame Beauty per month is given as follows;

Cost = $2,200 + $44×x

4)  For Alcone Company, we have;

Revenue = $45 × x

Cost = $1,500 + $36×x

By transitive property and distributive property, we have

Profit =  Revenue - Cost = $45 × x - ($1,500 + $36×x) = $9 × x - $1,500

Profit = $9 × x - $1,500

For  Besame Beauty, we have;

Revenue = $55 × x

Cost = $2,200 + $44×x

By transitive property and distributive property, we have;

Profit =  Revenue - Cost = $55 × x - ($2,200 + $44×x) = $11 × x - $2,200

Profit = $11 × x - $2,200

5) With the number of tubes produced = 225 tubes, we have;

For Alcone Company;

Profit = $9 × x - $1,500 = $9 × 225 - $1,500 = $525

ForBesame Beauty;

Profit = $11 × x - $1,500 = $11 × 225 - $2,200 = $275

6) With the number of tubes produced = 150 tubes, we have;

For Alcone Company;

Profit = $9 × x - $1,500 = $9 × 150 - $1,500 = -$150

For Besame Beauty;

Profit = $11 × x - $2,200 = $11 × 150 - $2,200 = -$550

7) Order of operations is used to ensure that the revenue is first calculated before the cost is subtracted to find the costs

8) In order to find the number of tubes that the company would need to manufacture in order to have a profit of greater than 0, we equate the expression using the inequality of greater than 0 to find the value of x that must be surpassed to have a profit greater than 0

9) For Alcone Company;

Profit = $9 × x - $1,500 >0

$9 × x  >0 + $1,500

$9 × x  > $1,500

x > $1,500/$9

x > 500/3

x > [tex]166\frac{2}{3}[/tex]

Therefore, the profit will be > 0 at x = 167 tubes

For Besame Beauty;

Profit = $11 × x - $2,200 > 0

$11 × x  > 0 + $2,200

$11 × x  > $2,200

x > $2,200/$11

x > 200

Therefore, the profit will be > 0 at x = 201 tubes


Related Questions

Matthew​ ​had​ ​overdrawn​ ​his​ ​account​ ​by​ ​$25.62​ ​over​ ​the​ ​weekend​ ​so​ ​his​ ​bank​ ​charged​ ​him​ ​a $45​ ​overdraft​ ​fee.​ ​What​ ​is​ ​his​ ​balance​ ​now?

Answers

Answer:

$70.62

Step-by-step explanation:

25.62 is the money he had overdrawn

45 is the money money charged buy the bank for overdraft fee

So the Total balance to the bank is

25.62+45=$70.62

Geometry question pls help

Answers

Answer:

25π/6 yd

Step-by-step explanation:

∠DCE = 110°, so arc DFE = 360° − 110° = 250°.

In radians, that's 250° × π/180° = 25π/18.

Arc length is:

s = rθ

s = (3 yd) (25π/18)

s = 25π/6 yd

1. Given: AB = 64; M lies on the line AB

AM = 4x + 4 BM= 6x-10

Prove: M is a midpoint.

Statements: Reason:
1) M lies on AB 1) Given
AB= 64
2) AM+MB=AB 2) ?

3) 4x+4+6x-10=64 3) ?

4) 10x- 6 = 64 4) ?

5) 10x=70 5) ?

6) x = 7 M 6) ?

7) AM= 4(7) + 4 7) substitution
MB = 6(7) - 10

8) AM=32 and 8) simplify
Mb = 32.

9) M is a midpoint. 9) ?


Reasoning bank for #1

Addition Property of equality
Combine like terms
Definition of midpoint.
Division property of equality
Segment addition postulate



Answers

Answer:

Step-by-step explanation:

Given the following lengths AB = 64, AM = 4x + 4 and BM= 6x-10, If M lies on the line AB  then AM+MB = AB (addition property)

Substituting the given parameters into the addition property above;

AM+MB = AB

4x + 4 + 6x - 10 = 64

combine like terms

4x+6x = 64+10-4

10x = 74-4

10x = 70

Divide both sides by 10

x = 70/10

x = 7

Note that for M to be the midpoint of AB then AM must be equal to BM i.e AM = BM

To get AM ;

Since AM = 4x+4

substitute x = 7 into the function

AM = 4(7)+4

AM = 28+4

AM = 32

Similarly, BM = 6x-10

BM = 6(7)-10

BM = 42-10

BM = 32

Since AM = BM = 32,. then M is the midpoint of AB

Shelly has a roll of fabric and decides to make some scarves for her friend the roll contains 6 2/3 yards of fabric she needs 5/6 of a yard for each scarf how many scarves can she make the answer choices are
A: 5
B:6
C:7
D:8

Answers

Answer:

8

Step-by-step explanation:

Total length of the fabric is [tex]6\dfrac{2}{3}=\dfrac{20}{3}\ \text{yards}[/tex]

We need to find the number of scarves can she make if she needs 5/6 of a yard for each scarf.

Let she needs x scarves. So, ATQ

[tex]x\times \dfrac{5}{6}=\dfrac{20}{3}\\\\x=\dfrac{20}{3}\cdot\dfrac{6}{5}\\\\x=8[/tex]

Hence, she can make 8 scarves.

Answer:

8

Step-by-step explanation:

the guy above me explained

Nicole used 3/8 of her ribbon to wrap a present. If she used 6 feet of ribbon for the present, how much ribbon did Nicole have at first? Rewrite the problem as a multiplication question.

Answers

Answer: 16

Step-by-step explanation:

From the question, we are informed that Nicole used 3/8 of her ribbon to wrap a present and that she used 6 feet of ribbon for the present,

To know how much ribbon did Nicole have at first goes thus:

Let the ribbon Nicole has at first be y

Since she used 3/8, this will be:

3/8 × y = 6

3y/8 = 6

Cross multiply

3y = 6 × 8

3y = 48

y = 48/3

y = 16

She had 16 ribbons at first

Step 1: –3x – 5 = 13 Step 2: –3x = 18 Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?

Answers

Answer:

Apply inverse law

a a⁻¹ = 1

The solution of the given linear equation is x = -6

Step-by-step explanation:

Step(i):-

Given equation -3 x-5=13

Adding '5' on both sides, we get

- 3 x - 5 + 5 = 13  + 5

- 3 x  = 1 8

step(ii):-

apply inverse law

a a⁻¹ = 1

(- 3)(-3)⁻¹ x = 18 (-3)⁻¹

x = 18/-3 = -6

(or)

Dividing '-3' on both sides , we get

                            [tex]\frac{-3 x}{ -3} = \frac{18}{-3}[/tex]

                             x =- 6

∠A and ∠B are complementary angles. If m ∠A = (8x – 23)° and m
∠B= (7x – 7)º, then find the measure of ∠A.

Answers

Complementary angles are angles whose sum is 90 degrees.

This means that we can make an equation.

[tex](8x-23)+(7x-7)=90[/tex]

[tex]15x-30=90[/tex]

[tex]15x=120[/tex]

[tex]x=8[/tex]

Then we can plug in the value we got into the express for angle A's measure.

[tex]8(5)-23[/tex]

[tex]40-23[/tex]

[tex]17[/tex]

The measure of angle A is 17 degrees.

Hope this helps.

頑張って!

l= a+(n-1)d

SOLVE FOR N ​

Answers

Answer:

[tex]n = \frac{l-a}{d}+1[/tex]

Step-by-step explanation:

[tex]l= a+(n-1)d\\[/tex]

[tex]l -a =(n+1)d[/tex]

Divide both sides of the equation by d

[tex]\frac{l-a}{d} = \frac{(n-1)}{d}\\ \\\frac{l-a}{d} = n-1\\\\\frac{l-a}{d}+1 = n[/tex]

Point M is the midpoint of FG. Can the value of variable a be determined? Explain.
a
G(24,30+3)
M(3,5)
F[b+1 a+2)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. To determine the value of a, set up and solve a system of equations in two variables. The value of a is
B. To determine the value of a, set the x- and y-coordinates of G and Fequal to each other and solve for a The value of a is
C. To determine the value of a, divide each coordinate of M by 2. Then add each quotient to the x-and y-coordinates of M. The value of a is
D. Not enough information is given for the value of a to be determined.

Answers

Answer:

A. To determine the value of a, set up and solve a system of equations in two variables. The value of a is 2

Step-by-step explanation:

Given the coordinates F(b+1, a+2, M(3,5) and G(2a, 3b+3), if M is the midpoint of F and G then, to get the value of a and b we will use the formula for calculating the midpoint a shown;

M(X, Y) = (x₁+x₂/2, y₁+y₂/2)

X = x₁+x₂/2 and  Y = y₁+y₂/2

From the given coordinates x₁ = b+1, y₁ = a+2, x₂ = 2a, y₂ = 3b+3, X = 3 and Y = 5

Substituting the given parameters into the formula, we can form up a simultaneous equation and get the value of a.

To determine the value of a, set up and solve a system of equations in two variables

For the X coordinates;

X = x₁+x₂/2

3 = b+1+2a/2

6 = 2a+b+1

2a+b = 5 ............... 1  * 1

For the Y coordinates;

5 = a+2+3b+3/2

cross multiply

10 =  a+2+3b+3

collect like terms

a+3b = 10-2-3

a+3b = 5 ........ 2  * 2

Solving the resulting  simultaneous equation to get the value of a

multiply equation 1 by 1 and 2 by 2 to have the resulting equations;

2a+b = 5 ...........3  

2a +6b = 10.......... 4

subtract 3 from 4

(2a-2a)+(b - 6b) = 5-10

0-5b = -5

b = -5/-5

b = 1

substitute b =1 into equation 1 to get a;

2a + b = 5

2a + 1 = 5

2a = 5-1

2a = 4

a = 2

From the calculation above it is seen that the value of variable a can be determined and it is equivalent to 2

which expression describes the set of numbers given by the interval:​

Answers

Answer:

A

Step-by-step explanation:

Looking at the interval, we can see that this includes all of the numbers coming from negative infinity all the way up to -1.

In other words, the set being described here are all the numbers less than or equal to -1.

Another way to write this is all numbers no more than -1.

Thus, our answer is A.

And we're done!

what is 90 percent of 20 percent

Answers

Answer:

18

Step-by-step explanation:

Every 2 is 10 percent.

2 x 9 = 18.

The answer is 18.

Answer:

18%

Step-by-step explanation:

change 90 to a decimal and 20 and multiply then you would get 18 add a % sign and you have your answer

seven kilometers is how many meters​

Answers

Answer:

Step-by-step explanation:

Hello,

1km=1000m, right?

so 7km = 7 * 1000 m = 7000m

thanks

The answer is 7000 meters.

Jane is in charge of making a banner for the basketball game this Saturday. She measures how long the banner is before painting it. She finds it measures 10meter

Answers

Answer:

It can either be length , width or the perimeter of the banner

Step-by-step explanation:

The measurement of 10 meters that Jane took after measuring how long the banner is before painting is the LENGTH of the banner.

This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.

simplify 7 · 2² ÷ 4 ± 12

Answers

I believe the answer is
-5

A farmer has some chickens and rabbits. There are 60 eyes and 100 legs altogether. How many chickens and how many rabbits are there?

Answers

Answer:

20 rabbits, 10 chickens

Step-by-step explanation:

Because chickens and rabbits each have 2 eyes, the number of animals is 60 ÷ 2 = 30.

Let's say that all of the 30 animals are chickens. There would be a total of 30 × 2 = 60 legs.

So the extra (100 – 60) = 40 legs must have come from the rabbits.

Every rabbit has (4 – 2) = 2 more legs than a chicken.

So there are 40 ÷ 2 = 20 rabbits and 30 – 20 = 10 chickens.

Answer:

20 rabbits and 10 chicks

Step-by-step explanation:

HELP PLEASE
Order the numbers from LEAST to GREATEST
-5/6, -1/2, 2/3

Answers

Answer:

-5/6,-1/2,2/3

Step-by-step explanation:

the product of eleven and five times a number multiplied by four

Answers

Answer:

220

Step-by-step explanation:

I hope this helps you

how does a compass and straightedge help you make a triangle

Answers

Answer:

A compass and straightedge allow for a more accurate rendition of a triangle, especially one needed to be specific measures

Step-by-step explanation:

A compass is straightedges allowed for it to be more accurate

Keli is buying pajamas for her five closest friends. Using the graph shown below, how much money will it cost her if she decides to buy a sixth pair of pajamas for herself?
Kelli's Gifts
80
70
60
50
Cost (dollars)
40
30
20-
10
6
0 1 2 3 4 5
Number of Pajamas
A $62.50
B
$75.00
с
$80.00
D
$150.00

Answers

Answer:

Your answer is B

Step-by-step explanation:

Because if they are already $60 and she wants one more it would be $75

The cost for the 6th pajama bought by Keli is given as $85.

What is the equation for a straight line?

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

The equation of the straight line from the given graph can be formed as below,

Take any two coordinates from the graph as (1, 10) and (2, 25) respectively.

Suppose the cost be y and the number of pajamas be x.

Now, the equation for the slope can be written as,

(y - 10)/(x - 1) = (25 - 10)/(2 - 1)

⇒ (y - 10)/(x - 1) = 15

⇒ y = 15x - 5.

Then, the cost of 6th pajama can be calculated by substituting x = 6 in the above equation as,

y = 15 × 6 - 5

  = 85

Hence, the cost of sixth pair of pajama is $85.

To know more about straight line equation click on,

brainly.com/question/21627259

#SPJ2

A baseball team played 154 complete games last season. They had 30 fewer wins than losses. How many games did the team win?

a 92 games
b 62 games
c 30 games
d 154 games

Answers

Answer:

a

Step-by-step explanation:

Given a conditional statement p
9, which statement is logically equivalent?

Answers

Answer:

p=9

Step-by-step explanation:

p is equivalent to 9

Last week, Donnell practiced the piano 3 hours longer than Marcus. Together, Marcus and Donnell practiced the piano for 11 hours. For how many hours did each young man practice the piano?​

Answers

Answer:

4 hours and 7 hours

Step-by-step explanation:

Marcus = x hours

Donnell = x + 3 hours

Total = 11 hours

x + x + 3 = 112x + 3 = 112x = 8x = 4

So Marcus practiced 4 hours and Donnell practiced  7 hours

Answer:Marcus=4 Donnell=7

Step-by-step explanation:11-3=8

8÷2 =4

4+3=7 hours used by Donnell

Remaining 4 hours is used by Marcus

Matthew is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven t t minutes after being turned on?

Answers

1. 255 degrees
2. I don’t understand the “t t” part.

somebody help. which one?

Answers

Answer:

45

Step-by-step explanation:

you can use m a th w ay to help you

The medicinal thermometer commonly used in homes can be read to pm0.1°F, whereas those in the doctor's office may be accurate to pm0.1°C. In degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of 38.7°C.

Answers

Correct question is;

The medical thermometer commonly used in homes can be read +/-0.1 °F, whereas those in the doctor's office may be accurate to +/- 0.1 C in degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of 38.9 °C

Answer:

A) percent error in homes = 0.144 %

B) percent error in doctors office = 0.257 %

Step-by-step explanation:

A) Temperature is 38.9° C

Converting to Fahrenheit using the formula; (°C × 9/5) + 32

So;

(38.9°C × 9/5) + 32 = 102.02 °F

Since thermometer in homes can be read to +/-0.1 °F, then

Expected values = 102.02 +/- 0.1 = 102.12 °F or 101.92 °F

Since we want to find the error from °C, let's convert to °C.

We will use 101.92 °F.

Thus; 102.12 °F = (101.92 - 32) × 5/9 = 38.844 °C

Thus percent error = (38.9 - 38.844)/38.9) × 100% = 0.144 %

B) Temperature is 38.9 °C

Since thermometer in Doctors office can be +/- 0.1 °C, then;

Expected values = 38.9 +/- 0.1 = 38.8 °C or 39 °C.

We will use 38.8°C

Thus;

percent error = (38.9 - 38.8)/38.9) × 100% = 0.257 %

The diagram shows the construction of the perpendicular bisector of AB.

Answers

Answer:

B, AC = 2AB

Step-by-step explanation:

C is the mid point of AB so we have:

AC = CB = 1/2 AB

AC + CB = AB

A car travels 200 meters, then turns right and travels 80 meters and finally makes a U-turn and travels another 120 m. If this is all done in 200
seconds, what is the average speed ?


help pleaseeeee

Answers

Answer:

2 m/s

Step-by-step explanation:

Since speed is total distance over time, we first need to find the total distance the car traveled.

Total distance = 200 + 80 + 120 = 400 m

total time = 200 sec

speed = distance/time = 400/200 = 2 m/s

If you would like more help in math or other subjects for FREE, check out growthinyouth.org.

Please help as best as you can in desperate need.

Answers

Answer:

The line that can be drawn through points D and E is contained in plane Y.

Step-by-step explanation:

Let's just go through all of these answer choices.

The first one says that "The line that can be drawn through points C and D is contained in plane Y." Is this true? If we drew a line connecting points C and D, it looks like it would cross through both planes X and Y, so it cannot be contained in only plane Y. This is false.

The second one says that "The line that can be drawn through points D and E is contained in plane Y." If we imagine a straight line going from point D to point E, it looks like it's just a line in plane Y; so this can be contained in plane Y. This seems true.

The third one says that "The only point that can lie in plane X is point F." This is false because plane X has a ton of points, but point F is just the only one that's labeled. This is false

The fourth one is similar, and says that "The only points that can lie in plane Y are points D and E." Again, this is false because points D and E just happen to be the only two labeled points, but there are infinitely many points on plane Y; points D and E are not all of them.

The second answer choice is true.

Please mark as Brainliest! :)

ABC and QRS are complementary angles. ABC:41 so what is QRS

Answers

Answer:

49

Step-by-step explanation:

Complementary angles always add up to 90 degrees, so make and equation. First, say that angle ABC and angle QRS add up to ninety degrees. Substitute the values to get 41 degrees plus angle QRS equals 90 degrees, and once you subtract 41 from both sides, you get angle QRS equals 49 degrees.

Hope this helps. :)

The QRS is 49

Important information:ABC and QRS are complementary angles. ABC:41

calculation:

We know that

The complementary angles are those whose sum is 90 degrees

So,

x + 41 = 90

x = 49

So, QRS = 49

Learn more about the angle here: https://brainly.com/question/2368234

.Write the product of 4x104

Answers

Answer:

416

Step-by-step explanation:

Other Questions
Solve the equation for W Does it have any sense(change into statement) lX 12.2l= 0.3 gives the minimum and maximum acceptable lengths of the wires in centimeters. What is the minimum acceptable length of a wire? Jack's bank statement shows an account balance of $25 50 Which descubes the magnitude or size of the debt in dollars? $50 50 $25 50 SO 0-$25 50 Almaden Hardware Store sells two product categories, tools and paint products. Information pertaining to its 2021 year-end inventory is as follows:Inventory,by Product Category Quantity Per Unit Cost Net Realizable ValueTools: Hammers 120 $5.50 $6.00 Saws 250 10.50 9.50 Screwdrivers 350 2.50 3.10 Paint products: 1-gallon cans 550 6.50 5.50 Paint brushes 120 4.50 5.00 Required:1. Determine the carrying value of inventory at year-end, assuming the lower of cost or net realizable value (LCNRV) rule is applied to (a) individual products, (b) product categories, and (c) total inventory.2. Assuming inventory write-downs are common for Almaden, record any necessary year-end adjustment amount for each of the LCNRV applications in requirement 1. The scale of a map is 1cm : 70km. What is the actual distance between two towns that are 3cm apart on the map Solve this system of equations and enter an ordered pair (x,y). y = x + 3 y = -x - 5 1500 meters in 6 seconds as a unit rate Alkaptonuria is an infrequent autosomal recessive condition. It is first noticed in newborns when the urine in their diapers turns black upon exposure to air. The condition is caused by the defective transport of the amino acid phenylalanine through the intestinal walls during digestion. About 4 people per 1000 are carriers of alkaptonuria. Sara and James had never heard of alkaptonuria and were shocked to discover that their first child had the condition. Sara's sister Mary and her husband Frank are planning to have a family and are concerned about the possibility of alkaptonuria in one of their children.The four adults (Sara, James, Mary, and Frank) seek information from a neighbor who is a retired physician.After discussing their family histories, the neighbor says, " I never took genetics, but I know from my many years in practice that Sara and James are both carriers of this recessive condition. Since their first child had the condition, there is a very low chance that the next child will also have it, because the odds of having two children with a recessive condition are very low. Mary and Frank have no chance of having a child with alkaptonuria because Frank has no family history of the condition."The two couples each have babies and both babies have alkaptonuria.Required:a. What is the probability that the second child of Mary and Frank will have alkaptonuria?b. What is the chance that the third child of Sara and James will be free of the condition?c.The couples are worried that one of their grandchildren will inherit alkaptonuria.d. What is the chance that a child with alkaptonuria will have an offspring with alkaptonuria if the child's mate has no family history?e.The couples are worried that one of their grandchildren will inherit alkaptonuria.f. What is the chance that a child with alkaptonuria will have an offspring with alkaptonuria if the child's mate has no family history? Which of the following graphs show a proportional relationship?Choose all answers that apply: The surface area of the side of a right cylinder can be found by multiplying twice the number by the radius times the height. If a circular cylinder has radius r and height h, write an expression that represents the surface area of its side. Which has more kinds of specialized cells, a tissue or an organ? How does Bradford's diction (choice of words)reveal his own thoughts and feelings about theevents or the individuals described in theexcerpt? Cite one example from the text andexplain how this reflects Bradford's point of view. Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left? x+4.9=7.28 x= what is the answer passes through (-4, 11) and (2,8) Change 53/5 from an improper fraction to a mixed number. Look at the pattern below.6, 12, 18, 24, 30, 36What characteristics of this pattern are true? All the numbers have 4 as a factor. All the numbers are composite. All the numbers are a multiple of 3. All the numbers are divisible by 2. Which statement is true? Lipids are a type of fat. Fats are a type of lipid. Fats and lipids are unrelated. All lipids are fats, and all fats are lipids. twenty four students in Jamal's class are wearing tennis shoes there are 30 students in his class, jamal says that 70% of his class is wearing tennis shoes, is this correct? yes or no