Please help me solve both a and b of this problem.

Please Help Me Solve Both A And B Of This Problem.

Answers

Answer 1

A. The relationship between number of towers and number of customers is proportional.

B. 12 customers.

What is a Proportional Relationship?

A proportional relationship between two variables, x and y, is a relationship whereby the ratio y/x is the same all through the table of values.

Thus, the value of y/x is constant, and is referred to as the unit rate or constant of proportionality, k.

Part A:

Given the table of values, we have:

Constant of proportionality (k) = y/x = 252/5.25 = 300/6.25 = 348/7.25 = 444/9.25 = 48.

Therefore, it is a proportional relationship because it has a constant of proportionality, k = 48.

Part B:

Substitute k = 48 into y = kx (proportional relationship)

y = 48x.

The equation for the relationship is, y = 48x. Substitute y = 576 into the equation to find the value of x, number of customers:

576 = 48x

Divide both sides by 48

576/48 = 48x/48 [division property of equality]

12 = x

x = 12

The number of customers is 12.

Learn more about proportional relationship on:

https://brainly.com/question/23318486

#SPJ1


Related Questions

Four friend must give a 7 minute presentation.each friend must speak for an equal amount of time. How long will each friend speak?

Answers

Answer:

1 minute and 75 seconds

Step-by-step explanation:

you take 4 and divide it by 7 minutes there for getting 1.75

Brandon mows the neighbor's yard to earn extra cash during the summer. He estimates that he mows 1/4 an acre every 1/2 hour. How many acres does he mow each hour?

Answers

zymiyas, this is the solution:

Brandon mows 1/4 an acre every 1/2 hour, therefore:

1/2 hour * 2 = one hour

1/4 * 2 = 2/4 or 1/2 an acre

Brandon will mow 1/2 an acre every hour

(5-9i)-(2-6i)+(3-4i)

Answers

================================Simplifying - Solution and Explanation================================

Hello! So...

We are given the following:

[tex](5-9i)-(2-6i)+(3-4i)[/tex]

_____________________________________________

1. Simplify the given expression.

[tex](5-9i)-(2-6i)+(3-4i)=5-9i-(2-6i)+3-4i[/tex]

_____________________________________________

2. Group the like terms.

[tex]-9i-4i(-2-6i)+5+3[/tex]

_____________________________________________

3. Add similar elements ( [tex]-9i-4i=-13i[/tex] ).

[tex]=-13i-(2-6i)+5+3[/tex]

_____________________________________________

4. Add the numbers ( [tex]5+3=8[/tex] ).

[tex]-13i-(2-6i)+8[/tex]

_____________________________________________

5. Remove the parentheses ( [tex]-(a+bi)=-a-bi[/tex] ).

[tex]-13i+-2-(-6)i+8[/tex]

_____________________________________________

6. Group the like terms.

[tex]-13i-(-6)i-2+8[/tex]

_____________________________________________

7. Add similar elements ( [tex]-13i-(-6)i=-7i[/tex] ).

[tex]-7i-2+8[/tex]

_____________________________________________

8. Add the numbers ( [tex]-2+8=6[/tex] ).

[tex]-7i+6[/tex]

_____________________________________________

9. Rewrite in standard complex form.

[tex]6-7i[/tex]

^Hence, our solution.

_______________________________________________________

Hope this helps! If so, lmk! If you need anything else, feel free to comment below and I'll see what else I can do to assist you further. But for now, thank you for your time and good luck!

What is the correct evaluation of 3x - x + 2, when x is equal to -4?

Answers

Answer:

When x = -4, the equation's answer is -6.

Hope this helps!

Step-by-step explanation:

3(-4) - ( -4 ) + 2

-12 - (-4) +2      ( negative times negative is positive )

-12 + 4 + 2

-8 + 2 or -12 + 6

is -6

What is the mathematical model of different dimensions but same volume?

Answers

Prism is the mathematical model with different dimensions but same volume.

As given in the question,

Mathematical model represent different dimensions but same volume.

Prism is the mathematical model with different dimensions but same volume.

To prove it consider two different dimensions of prism.

Prism 1

length = 4cm

Width = 4cm

Height = 4cm

Surface area of the prism1 = 2( 4×4 + 4×4 +4×4)

                                            = 2(48)

                                            = 96cm²

Volume of prism1 = 4×4×4

                             = 64cm³

Prism 2

length = 8cm

Width = 2cm

Height = 4cm

Surface area of the prism1 = 2( 8×2 + 2×4 +4×8)

                                            = 2(56)

                                            = 112cm²

Volume of prism1 = 8×2×4

                             = 64cm³

Therefore, prism is the mathematical model with different dimensions but same volume.

Learn more about mathematical model here

brainly.com/question/10952874

#SPJ1

[tex]\sqrt{6} +2\sqrt{3} +\sqrt{12}[/tex]

Answers

[tex] = \sqrt{6} + \sqrt{12} + \sqrt{12} \\ \\ = \sqrt{6} + 2 \sqrt{12} \\ = \sqrt{6} + 2 \sqrt{4 \times 3} \\ = \sqrt{6} + 2 \times \sqrt{4} \times \sqrt{3} \\ = \sqrt{6} + 2 \times 2 \sqrt{3} \\ = \sqrt{6} + 4 \sqrt{3} [/tex]

ATTACHED IS THE SOLUTION

Use substitution to find the solution to the system ofequation.-4x + y = 6-5x – y = 21

Answers

Let:

[tex]\begin{gathered} -4x+y=6_{\text{ }}(1) \\ -5x-y=21_{\text{ }}(2) \end{gathered}[/tex]

From (1), solve for y:

[tex]y=6+4x_{\text{ }}(3)[/tex]

Replace (3) into (2):

[tex]\begin{gathered} -5x-(6+4x)=21 \\ -5x-6-4x=21 \\ -9x-6=21 \\ -9x=21+6 \\ -9x=27 \\ x=\frac{27}{-9} \\ x=-3 \end{gathered}[/tex]

Replace the value of x into (3):

[tex]\begin{gathered} y=6+4(-3) \\ y=6-12 \\ y=-6 \end{gathered}[/tex]

Circle whether the point is a solution to the inequality. Show work to support the answer.y ≤ 1/3x + 4 is (-6,2) a solution?Yes/No

Answers

Answer:Explanation:

Yes

The point is a solution if it satisfies the inequality.

In this case, the inequality is y ≤ (1/3)x + 4, so replacing (x, y) = (-6, 2), we get:

y ≤ (1/3)x + 4

2 (1/3)(-6) + 4≤

2 ≤ -2 + 4

2 ≤ 2

Since 2 is equal to 2, the inequality is satisfied and (-6, 2) is a solution.

So, the answer is Yes.

assume that each of the n trails

Answers

Given,

The value of n is 8.

The value of x is 0.

The value of p is 0.6.

The binomial expression is,

[tex]P(X=x)=^nC_x\times(p)^x\times(1-p)^{n-x}[/tex]

Subsituting the values then,

[tex]\begin{gathered} P(X=0)=^8C_0\times(0.6)^0\times(1-0.6)^{8-0} \\ P(X=0)=\frac{8!}{0!\times8!}\times1\times(0.4)^8 \\ P(X=0)=1\times1\times(0.4)^8 \\ P(X=0)=0.000655 \\ P(X=0)=0.0007 \end{gathered}[/tex]

ence, the probability is 0.0007.

For
f(x) = 3

x
and
g(x) = x4 + 2,
find the following.
(a)
(f ∘ g)(x)

(b)
(g ∘ f)(x)

(c)
f(f(x))

(d)
f 2(x) = (f · f)(x)

Answers

Answer:

f(3) = (3)4 + 2

Step-by-step explanation:

y = (3)4 + 2

y = 12 + 2

y = 14

Brian is working his way through school. He works two part-time jobs for a total of 22 hours a week. Job A pays $6.10 per hour, and Job B pays $7.30 per hour. How many hours did he work at each job the week that he made $148.60.

Answers

Let a be the number of hours that Brian works at Job A in one week and b be the number of hours that he works at Job B .in one week

Since Brian worked 22 hours per week and he made $148.60, we can set the following system of equations:

[tex]\begin{gathered} a+b=22, \\ 6.10a+7.30b=148.60. \end{gathered}[/tex]

Subtracting b from the first equation we get:

[tex]\begin{gathered} a+b-b=22-b, \\ a=22-b\text{.} \end{gathered}[/tex]

Substituting the above equation in the second one we get:

[tex]6.10(22-b)+7.30b=148.60.[/tex]

Applying the distributive property we get:

[tex]\begin{gathered} 6.10\times22-6.10\times b+7.30b=148.60, \\ 134.20+1.20b=148.60. \end{gathered}[/tex]

Subtracting 134.20 from the above equation we get:

[tex]\begin{gathered} 134.20+1.20b-134.20=148.60-134.20, \\ 1.20b=14.40. \end{gathered}[/tex]

Dividing the above equation by 1.20 we get:

[tex]\begin{gathered} \frac{1.20b}{1.20}=\frac{14.40}{1.20}, \\ b=12. \end{gathered}[/tex]

Substituting b=12 in a=22-b we get:

[tex]a=22-12=10.[/tex]

Answer:

I need help on this question please and thank you

Answers

It is proved that the line c is parallel to line d.

What is defined as the supplement angles?If two angles add up to 180 degrees, they are described as supplementary angles. When supplementary angles are combined, they establish a straight angle (180 degrees). In other words, if Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Supplementary angles can be either adjacent or not. As a result, there are two kinds of supplementary angles. Every one of these kinds of supplementary angles is discussed further below.supplementary angles adjacentNon-contiguous supplementary angles

For the given question;

Angle 2 and angle 3 are supplement;

∠2 + ∠3 = 180    ......eq 1

See from figure.

∠4 = ∠3  (vertically opposite angles)

Thus, replacing ∠3 with  ∠4 in eq 1.

∠2 + ∠4 = 180   (linear pair)

As ∠2 and ∠4 form the linear pair. Thus, line c is parallel to line d.

Therefore, line c proved to be parallel to line d.

To know more about the supplement angles, here

https://brainly.com/question/12919120

#SPJ13

95 divided by 60 step by step

Answers

0 1
6 0 ⟌ 9 5
- 0
9 5
- 6 0
3 5

Miguel pays $68 biweekly for health insurance which is 14% of the total cost his employer pays the rest what is the total annual cost to the nearest dollar of Miguel's health insurance

Answers

Cost of the health insurance is $11657.14

What is cost?

A cost is the worth of money that has been used up to create something or supply a service and is thus no longer accessible for use in production, research, retail, or accounting. In business, the cost might be one of acquisition, in which case the money spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's additional transaction costs over and above the amount paid to the producer. Typically, the price includes a profit margin above the cost of manufacture.

14% of x = 68

x = 68 x 100/14

  = $485.71

Total cost = $485.71 x 24 months = $11657.14

To know more about cost, click on the link

https://brainly.com/question/24353331

#SPJ10

Jessie incorrectly said the rate 1/4 1/16 can be written as the unit rate 1/64 what is the correct unit rate

Answers

Correct Unit rate is 4 pounds per gallons.

What is unit rate?

An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate. A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc.

Given Data

[tex]\frac{1}{4}[/tex] pounds = [tex]\frac{1}{16}[/tex] gallons

Rate = [tex]\frac{1}{4}[/tex] pounds ÷ [tex]\frac{1}{16}[/tex] gallons

Rate = [tex]\frac{1}{4}[/tex] × 16

Rate = 4

Unit rate is 4 pounds per gallons.

To learn more about unit rate, visit:

https://brainly.com/question/19339307

#SPJ9

find two rational numbers lying between 1 and 1.2​

Answers

Answer:

1.1 and 1.12

Step-by-step explanation:

a rational number is any number that can be written as a fraction or a decimal that does not go on forever (unless it is a repeating decimal, ex: 3.454545..)

so any decimal that can be written as a fraction that is between 1 and 1.2 works


Use Gaussian elimination or Gauss-Jordan elimination.
Mike works a total of 58 hr per week at his two jobs. He makes $7 per hour at job A and $8 per hour at job B. If his total
pay for one week is $424 before taxes, then how many hours does he work at each job?

Answers

Mike works 40 hours at job A and 18 hours at job B.

What are simultaneous equations?

Simultaneous equations are two or more algebraic equations that share the same unknown variables and have the same solution for each of them. This suggests that the equations are simultaneous and have a single solution.

Given:

Mike makes $7 per hour at job A and $8 per hour at job B.

Let x be the number of hours Mike spends working at job A and y be the number of hours he spends working at job B.

Since he works a total of 58 hours per week,

x + y = 58

His total pay for one week is ​$424.

7x + 8y = 424

Solving both equations simultaneously we get,

From the first equation, we have, y = 58 - x

Putting the value of y in the second equation,

7x + 8(58 - x) = 424

7x + 464 - 8x = 424

8x - 7x = 464 - 424

x = 40

So, now calculate y = 58 - 40 = 18

Therefore, Mike spends 40 hours working at job A and 18 hours working at job B.

To learn more about simultaneous equations visit:

https://brainly.com/question/12647791

#SPJ9

6. The following observations are arranged in ascending order. The median of the data is 25 find the value of x. 17, x, 24, x + 7, 35, 36, 46 (3 Points)​

Answers

The value of x = 18.

What is median?

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set.

Median = [tex]\frac{n+1}{2} ^{th}[/tex] term

Given that,

The median of the data is 25.

The observations are 17, x, 24, x+7, 35, 36, 46.

Here, n = 7

Median = 25

Median = [tex]\frac{7+1}{2} ^{th}[/tex] term

Median = [tex]\frac{8}{2}^{th}[/tex] term

Median = 4[tex]^{th}[/tex] term

Median = x+7

25 = x+7

X = 25-7

X = 18

Here, x+7  

X+7 = 18+7

X+7 = 25.

Therefore, the value of x is 18.

To know more about median, visit:

https://brainly.com/question/28060453

#SPJ9

Write in all missing angles.

Answers

Answer:

The answers are all there. 50° + 22°= 77°

180° - 77° = 103°

Step-by-step explanation:

All the rest is just mirrored.

On a coordinate plane, a graph curves up through (negative 2, negative 5) to inflection point (0, 1), and then curves up through (1, 4). Consider the graph shown. Which ordered pairs are on the inverse of the function? Check all that apply.

Answers

The ordered pairs are on the inverse function are (-5, -2) and (4, 1)

What are inverse functions?

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

How to determine the ordered pairs on the inverse of the function?

From the question, we have the following coordinate points

Point (negative 2, negative 5)Inflection point (0, 1)Curves up through (1, 4)

Rewrite the points as:

Point (-2, -5)Inflection point (0, 1)Curves up through (1, 4)

Remove the inflection point.

So, we have

Point (-2, -5)Curves up through (1, 4)

The next step is to switch/swap the positions of x and y in the above equation ordered pairs

So, the points become:

Inverse point (-5, -2)Another inverse point (4, 1)

Hence, the ordered pairs that are on the inverse function of the function are (-5, -2) and (4, 1)

Read more about inverse equations at:

brainly.com/question/14391067

#SPJ1

Answer:

its

A(-5,-2),

B(0,-1),

E(1,0),

F(4,1).  

Step-by-step explanation:

i took one for the team

Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at and t = x for the graph below. Evaluate A(x) for x = 1,2,3, and 4

Answers

Answer:

• A(1)=4

,

• A(2)=8

,

• A(3)=13

,

• A(4)=17.5

Explanation:

The graph is given below:

The area, A(x) represents the area bounded by the graph, the horizontal axis, and the vertical lines at t=0 and t = x.

(a)A(1)

Area, A(1) is the area of a trapezoid in which: a=3, b=5 and h=1

[tex]\begin{gathered} \text{ Area of a trapezoid}=\frac{1}{2}(a+b)h \\ A(1)=\frac{1}{2}(3+5)(1)=\frac{1}{2}\times8=4\text{ square units} \end{gathered}[/tex]

(b)A(2)

.

[tex]A(2)=2\times A(1)=2\times4=8\text{ square units}[/tex]

(c)A(3)

.

[tex]\begin{gathered} A(3)=A(2)+(5\times1) \\ =8+5 \\ =13\text{ square units} \end{gathered}[/tex]

(d)A(4)

[tex]\begin{gathered} A(4)=A(3)+\text{ Area of shape 4} \\ =13+\frac{1}{2}(5+4)(1) \\ =13+\frac{9}{2} \\ =13+4.5 \\ =17.5\text{ square units} \end{gathered}[/tex]

Find the slope and y-intercept for the line.
Slope=
y-intercept = (0,

Answers

slope= 1/4

y intercept= -5

Balloon
1 reached
a height of X meters.
Balloon
2 reached a height of 7 times balloon 1.
Balloon 3 reached a height of half that of balloon 1.
Balloon 4 reached a height of 30 metres more than balloon 1.
The total height reached by all the balloons was 550 metres.
(a)
Formulate an algebraic expression to model the heights reached by balloons 2, 3
(b)
Find the heights reached by balloons 1, 2, 3 and 4.

Answers

Algebraic expression for Height of Balloon 2 = 7x and Height of Balloon 3 = x/2.

Heights reached by balloons 1, 2, 3 and 4 will be 54.73, 383.11, 27.36, 84.73 respectively.

We have the following given information as per the question

Balloon 1 reaches x m.

Balloon 2 reaches a height of 7 times balloon 1

∴ Balloon 2 reaches 7x m.

Balloon 3 reaches a height of half that of balloon 1.

∴ Balloon 3 reaches [tex] \frac{x}{2} [/tex] m.

Balloon 4 reaches a height of 30 meters more than balloon 1.

∴ Balloon 4 reaches ( x + 30 ) m.

Now As given The total height reached by all the balloons was 550 meters.

∴ Height of Balloon 1 + Height of Balloon 2 + Height of Balloon 3 + Height of Balloon 4 = 550 meter

∴ x + 7x + [tex] \frac{x}{2} [/tex] + (x + 30 ) =550

∴ 9.5x + 30 = 550

∴ 9.5x = 550 - 30

∴ 9.5x = 520

∴ x = 520/9.5

∴ x = 54.73 meter

(a) Algebraic expression to model the heights reached by balloons 2, 3 will be

Height of Balloon 2 = 7x = 7(54.73) = 383.11 meter

Height of Balloon 3 = x/2 = 54.73 / 2 = 27.36 meter

(b) The heights reached by balloons 1, 2, 3 and 4 will be as follows

Height of Balloon 1 = x = 54.73 meter.

Height of Balloon 2 = 7x = 7(54.73) = 383.11 meter

Height of Balloon 3 = x/2 = 54.73 / 2 = 27.36 meter

Height of Balloon 4 = x + 30 = 54.73 + 30 = 84.73 meter

For more details about balloon height problems visit link below

https://brainly.com/question/24720164

#SPJ9

The product of two irrational numbers is an irrational number
a.True
b.False

Answers

False, The product of two irritational numbers is either rational or irrational numbers.

A rational number is a number expressed in the form of p/q where p and q are integers and q should not be zero. Example: 2/5, 24

Whereas an irrational number is a number that is not rational in nature means it neither be expressed in the form of p/q nor in ratio terms. Example: √12, √3

Product of two irrational numbers: √2* √2 = 4 (which is a rational number)

Product of again two irrational numbers: √2*√3= √6 ( which is an irrational number)

Therefore, the product of two irrational numbers can be rational or irrational numbers.

To learn more about an irrational number, follow the below link:

https://brainly.com/question/17450097

The product of two irrational numbers is an irrational number is false because it is either a rational or irrational number.

What is a rational number?

A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.

It can be a/b of two integers, a numerator a, and a non-zero denominator b.

The product of two irrational numbers √3 ×√3 = 3

This is a rational number.

Again, the product of two irrational numbers: √5 ×√3 = √15

This is an irrational number.

As a result, the product of two irrational integers can be both rational and irrational.

Thus, the product of two irrational numbers is an irrational number is false because it is either a rational or irrational number.

Learn more about rational numbers here:

brainly.com/question/10354322

#SPJ12

how do you solve this?

Answers

According to the given values, the length of the arc is 1 cm approx.

What is an arc?An arc is, in general, any straight curve that connects two points. The term "arc length" refers to an arc's length. A graph arc is an ordered pair of adjacent vertices in a graph. An arc is specifically any section of a circle's circumference (other than the entire curve).

So, the formula to find the length of the arc:

Arc Length = θ × (π/180) × r

Now, substitute the values in the formula as follows:

Arc Length = θ × (π/180) × rArc Length = 8π/9 × (π/180) × 16.5Arc Length = 8π/9 × π/180 × 16.5Arc Length = 2π/9 × π/45 × 16.5Arc Length = 2π × π/45 × 1.8Arc Length = 6.28 × 3.14/45 × 1.8 (π = 3.14)Arc Length = 11.304 × 3.14/45Arc Length = 1.256 × 3.14/5Arc Length = 3.94384/5Arc Length = 0.788768Rounding off: 1.00 cm

Therefore, according to the given values, the length of the arc is 1 cm approx.

Know more about arcs here:

https://brainly.com/question/2005046

#SPJ9

Gabe is paid semi monthly and contributes 9% of the total cost of his individual healthcare coverage he pays $48.47 per paycheck towards this contribution what is the total value of Gabes healthcare coverage for the year

Answers

Cost of the health insurance is $12925.33

What is cost?

A cost is the worth of cash that has been used up to create it or supply a function and is thus no longer accessible for use in manufacturing, research, commerce, or bookkeeping. In business, the cost might be one of procurement, in which case the money being spent to obtain it is recognized as cost. In this situation, money is the input that is used to purchase the item. This acquisition cost might be the total of the original producer's production expenses and the acquirer's direct capital costs above and beyond the amount paid to the producer. Typically, the package includes a gross margin above the cost of manufacture.

9% of x = 48.47

x = 48.47 x 100/9

  = $538.55

Total cost = $538.55 x 24 months = $12925.33

To know more about cost, click on the link

https://brainly.com/question/24353331

#SPJ10

Graph the line y = kx + 1 given that point M belongs to the line.

M(1, 3)

Please help 25 points

Answers

The graph of the line y=kx+1 given that the  point M(1,3) belongs to the line is shown below .

In the question ,

it is given that

the line y=kx+1 has point (1,3) on it ,

which means that the point (1,3) will satisfy the equation y=kx+1 .

So, substituting x=1 and y=3 , we get

3=k*1+1

3-1=k

k=2

Hence , the equation of the line becomes y=2x+1 .

On comparing the equation with point slope form of the the line, y=mx+c ,

we get , the slope of the line = 2 and y intercept of the line = 1 .

the graph of the line y=2x+1 is shown below .

Therefore , the graph of the line y=kx+1 given that point M(1,3) belongs to the line is shown below .

Learn more about Line here

https://brainly.com/question/24896671

#SPJ1

This year nelson planted 6 more than one fifth of the tomato plants he planted last year. which expression represents the number of tomato plants he planted this year?
a 1/5x-6

b 1/5x+6

c 5x+6

d 5x-6

Answers

The expression to represent the number of tomato plants he planted this year  1 / 5 x  + 6.

How to represent expression?

This year Nelson planted 6 more than one fifth of the tomato plants he planted last year.  

The expression that can be used to represent the number of tomato plant he planted this year can calculated as follows:

Therefore,

let

x = number of tomato he planted last year.

Hence, the final expression is as follows:

1 / 5 x  + 6

learn more on expression here: https://brainly.com/question/2710205

#SPJ1

Mom and Dad have decided to put themselves on a strict budget so that the family can save money to go onvacation. For breakfast, the family decides to spend no more than $20.00 for the week.Each day, the family eats 1/3 of a pound of granola and drinks 2/7 of a liter of milk for breakfast.Milk costs $4,49 per liter, but different types of granola have different prices.If the family only buys one type of granola for the week, what is the price per pound of the most expensivegranola they can afford?Explain your solution using logic, tables, graphs, and/or algebraic reasoning.

Answers

For breakfast, the family decides to spend no more than $20.00 for the week.

Each day, the family drinks 2/7 of a liter of milk for breakfast.

For the entire week, the amount of milk consumed is

[tex]7\times\frac{2}{7}=2\; \text{liters}[/tex]

Milk costs $4,49 per liter, so the cost of the total amount of milk consumed is

[tex]2\times\$4.49=\$8.98[/tex]

So, the amount left for the granola is

[tex]\$20.00-\$8.98=\$11.02[/tex]

Each day, the family eats 1/3 of a pound of granola for breakfast.

For the entire week, the amount of granola consumed is

[tex]7\times\frac{1}{3}=\frac{7}{3}\; \text{pounds}[/tex]

Let x be the price per pound of the most expensive granola they can afford.

[tex]\begin{gathered} \frac{7}{3}\cdot x=\$11.02 \\ x=\$11.02\cdot\frac{3}{7} \\ x=\$4.72 \end{gathered}[/tex]

Therefore, the most expensive granola they can afford is $4.72

The graph of a 3rd degree polynomial is shown below. Use the Fundamental Theorem of Algebra to determine the number of real and imaginary zeros.

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:\texttt{real roots : 2 }[/tex]

[tex]\qquad \tt \rightarrow \: imaginary \: \: roots = 1[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The given polynomial is a 3rd degree polynomial so it has a total of three roots.

And we know, where the curve (of polynomial) cuts the x - axis is its real root. so, from the graph we can infer that the given polynomial has 2 real roots [ as it cuts the x - axis at two points, i.e x = -2 and x = 1 ]

Hence, Number of real roots = 2

Number of imaginary roots = total roots - real roots

i.e 3 - 2 = 1

So, number of imaginary roots = 1

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Other Questions
Which of the following sets of rational numbersis ordered from least to greatest?|-35| 18 |0.58| A truck can be rented from Company A for $40 a day plus $0.40 per mile. Company B charges $20 a day plus $0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. Use the Distributive Property to simplify.4(3+2) 2. Find the parabola with equation y = ax + bx whose tangent line at (1, 1) has equation y = 3x - 2. CHAPTER XShowing How they Sought out a place of Habitation; and What Befell them ThereaboutBeing thus arrived at Cape Cod the 11th of November, and necessity calling themto look out a place for habitation (as well as the master's and mariners' importunity);they having brought a large shallop with them out of England, stowed in quarters inthe ship, they now got her out and set their carpenters to work to trim her up; but beingmuch bruised and shattered in the ship with foul weather, they saw she would be longin mending. Whereupon a few of them tendered themselves to go by land and discoverthose nearest places, whilst the shallop was in mending; and the rather because as theywent into that harbor there seemed to be an opening some two or three leagues off,which the master judged to be a river. It was conceived there might be some danger inthe attempt, yet seeing them resolute, they were permitted to go, being sixteen of themwell armed under the conduct of Captain Standish, having such instructions given themas was thought meet.Importunity: urgent demand.Tendered: to offer or present.Shallop: a heavy sailboat with two masts.Resolute: determined.Meet: appropriate.8. Consider the archaic language in this section; how might this language be paraphrased fora modern audience? 100 POINTS ( WILL BE MODERATED) NO WEIRDANSWERS Which of the following physical features would characterize an area that is near the poles with permanently frozen topsoil that limits agriculture? Dry Wet Cold Mountainous PLEASE HELP FAST!!!!!!!!!!!!!!!!!!!! why, the owner does not know it for many years when a poet has put his farm in rhyme, the most admirable kind of invisible fence, has fairly impounded it, milked it, skimmed it, and got all the cream, and left the farmer only the skimmed milk. What is 408175 PLEASE HELP ME H E L P How did the African American social leaders Booker T. Washington and W. E. B. Du Bois agree with their philosophies to progress the status of the African Americans? assume the cost of a gallon of milk is $2.70. with continuous compounding, find the time it would take the cost to be 4 times as much (to the nearest tenth of a year), at an annual inflation rate of 6%. which of these expressions is equivalent to 15C3? a) 15C12 b)12C15 c) 15C18 d) 18C15 HURRYYY WILL GIVE BRAINLIESTTTT!!!1. A player throws a basketball toward a hoop, and itfollows a parabolic path through the points (2,10)(4,12) and (10,12). Find a quadratic model, and ifthe hoop is at (12,10) will the ball pass through thehoop? oahu kiki tracks the number of units purchased and sold throughout each accounting period but applies its inventory costing method at the end of each month, as if it uses a periodic inventory system. assume oahu kikis records show the following for the month of january. sales totaled 340 units. How much power do pluralistic democracies have for a single group/organization to control government laws? Roberto's Club has a secret knock for its Clubhouse door that only its members know. The members remember to knock on the door exactly n times in a row, were five more than three times n and is equal to the difference between 21 and n . How many times in a row do members knock on the clubhouse door? what is the problem of DECREASED AIR QUALITY AND INCREASED SMOG and why is it important? (science) Higher education is a term used to describe education beyond secondary education.TrueFalse write an article to be published in a national newspaper on the tropici"The effects of bad roads in my community Kevin earns $6 for 4 polished rocks. The equation y = 1.5x can be used to represent this situation. What is the constant of proportionality?