Sean wrote the equation 9.25 = 5m, where m is the cost per pound of pears, to show the relationship between the total cost and the number of pears he bought at Quick Mart.

What is the unit cost per pears? Write an equation.

Does this relationship represent a proportional relationship? Use a graph to prove it. Explain how the graph proves the situation is a proportional relationship.

Answers

Answer 1

Answer:

see the explanation

Step-by-step explanation:

The correct question is

Sean wrote the equation 9.25=5m, where m is the cost per pound, to show the relationships between the total cost, $9.25, and the number of pounds of pears, write an equation to show the cost y of x pounds of pears, and use the equation to complete the table. then use the information in your table to make a graph

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

y ----> the total cost

x ---> the number of pounds of pears

In this problem we have a proportional relationship between the variables x and y

we have

[tex]9.25=5m[/tex]

where

m is the cost per pound of pears

That means

The value of m and the value of the constant k of proportionality is the same

Find the value of m

[tex]9.25=5m\\m=\$1.85\ per\ pound[/tex]

The linear equation is equal to

[tex]y=1.85x[/tex]

Construct the table

assume different values of x and determine the value of y

[tex]For\ x=0 ----> y=1.85(0)=0[/tex]

[tex]For\ x=1 ----> y=1.85(1)=1.85[/tex]

[tex]For\ x=2 ----> y=1.85(2)=3.70[/tex]

[tex]For\ x=3 ----> y=1.85(3)=5.55[/tex]

[tex]For\ x=4 ----> y=1.85(4)=7.4[/tex]

[tex]For\ x=5 ----> y=1.85(5)=9.25[/tex]

therefore

[tex]\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}[/tex]

using a graphing tool

The grahp in the attached figure

Sean Wrote The Equation 9.25 = 5m, Where M Is The Cost Per Pound Of Pears, To Show The Relationship Between
Answer 2

Final answer:

The unit cost per pound of pears is $1.85, found by dividing the total cost ($9.25) by the number of pounds (5). This represents a proportional relationship, as the graph of the equation y = 5x is a straight line through the origin, showing a constant ratio of total cost to pounds of pears.

Explanation:

The question regarding the equation 9.25 = 5m asks us to find the unit cost per pound of pears and determine whether the relationship represents a proportional relationship. To find the cost per pound, we simply need to divide both sides of the equation by 5. This gives us m = 9.25 / 5, which calculates to m = $1.85. Therefore, the unit cost per pound of pears is $1.85.

To test for a proportional relationship, we can graph the equation y = 5x, where 'y' is the total cost and 'x' is the number of pounds of pears. A proportional relationship is one where the ratio of y to x is constant, and the graph is a straight line through the origin. Since our equation represents a linear relationship that passes through the origin (0,0), it confirms that this is, indeed, a proportional relationship. The graph would show a straight line with a slope of 5, indicating that for every increase of 1 pound of pears, the cost increases by $5.


Related Questions

Members of the pep club were selling raffle tickets for $1.50 and $5. The number of $1.50 tickets sold was two less than four times the number of $5 tickets sold, and the club raised $1,152 from the ticket sales. Let x represent the number of $1.50 tickets sold and let y represent the number of $5 tickets sold. Solve the system of equations to determine how many of each ticket were sold.     1.5x + 5y = 1152    
x = 4y – 2
Which one-variable linear equation can be formed using the substitution method?

How many $5 raffle tickets were sold?

Which equation can be used to determine how many $1.50 raffle tickets were sold?

How many $1.50 raffle tickets were sold?

Answers

Answer:

see below

Step-by-step explanation:

1.5x + 5y = 1152    

x = 4y – 2

We can substitute the second equation into the first equation

Which one-variable linear equation can be formed using the substitution method?

1.5(4y-2) +5y = 1152  

Distribute

6y -3 +5y = 1152

Combine like terms

11y-3 = 1152

Add 3 to each side

11y-3+3 = 1152+3

11y = 1155

Divide each side by 11

11y/11 = 1155/11

y = 105

How many $5 raffle tickets were sold?

105 5 dollar tickets were sold

Now we need to find the number of 1.50 tickets

Which equation can be used to determine how many $1.50 raffle tickets were sold?

x = 4y – 2

x = 4(105) -2

   =420-2

   = 418

How many $1.50 raffle tickets were sold?

418    $1.50 tickets were sold

Answer:

11y = 1155

$5 raffle tickets: 105

x = 4(105) - 2

$1.5 raffle tickets: 418

Step-by-step explanation:

1.5x + 5y = 1152    

x = 4y – 2

1.5(4y - 2) + 5y = 1152

6y - 3 + 5y = 1152

11y = 1155

y = 105

x = 4(105) - 2

x = 418

(5 + 4 – 2) × (–2) = ?

Question 7 options:

A)
–22

B)
–14

C)
22

D)
14

Answers

Answer:

B. -14

Step-by-step explanation:

(5 + 4 – 2) × (–2)

7x(-2)

=-14

i need help with this question i don’t understand it

Answers

Answer:

its pi just multiply the sun designs

Step-by-step explanation: if more info needed just reply to this

Please answer this correctly

Answers

Answer:

3 PM

Step-by-step explanation:

1.30 + .30 + 1  =

3

Answer:

3:00 pm

Step-by-step explanation:

Time spent video games 30 minutes

Time spent homework 1 hour

Total time 1 hour 30 minutes

Starting at 1 :30

Add 1 hour 30 minutes

1:30

+1:30

--------------

2:60

But 60 minutes is 1 hour  so change the 60 minutes to 0 and add 1 hour

3:00

We started at pm we did not pass over 12 so we are still at pm

3:00 pm

Which prism has a volume of 5 cubic units?
1 and one-half units by 3 units by 1 unit
2 units by 2 units by 1 and one-half-units
1 and one-fourth units by 4 units by 1 unit
2 units by 1 unit by 2 units

Answers

Answer:

Step-by-step explanation:

5=1 1/4*4*1=1.25*4*1

so  1 and one fourth units by 4 units by 1  unit

The prism has a volume of 5 cubic unit is option (C) [tex]1\frac{1}{4}[/tex] unit, 4 unit and 1 unit

What is Volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface

What is Prism?

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Here,

Volume of prism = l × w × h

Option 1

Volume = [tex](1\frac{1}{2})(3)(1) =\frac{9}{2}[/tex] cubic units

Option 2

Volume = [tex](2)(2)(1\frac{1}{2})=6[/tex] cubic units

Option 3

Volume = [tex](1\frac{1}{4})(4)(1)=5[/tex] cubic units

Option 4

Volume = [tex](2)(1)(2)=4[/tex] cubic units

Hence, The prism has a volume of 5 cubic unit is option (C) [tex]1\frac{1}{4}[/tex] unit, 4 unit and 1 unit

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The length of a rectangular field is represented by the expression "". The width of the field is represented by the expression "". How much greater is the length of the field than the width?

Answers

Answer:

The answer is A. 9x +4x^2 -5y

Step-by-step explanation:

In order to find the difference, subtract each terms.

in order for 5x to get to 14x you have to +9x

in order for -7x^2 to get to -3x^2 you have to +4x^2

and last, in order for 7y to get to 2y, you have to -5y

Hope it helps!

Answer:

The answer is A.

Step-by-step explanation:

A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. Which compares the modes of the data? The mode for the students is 2 and the mode for the teachers is 4. The mode for the students is 0 and the mode for the teachers is 1. The mode for the students is 4 and the mode for the teachers is 8. The mode for the students is 2 and the mode for the teachers is 1.

Answers

The correct option is The mode for the students is 2 and the mode for the teachers is 4.

To determine the mode of a data set, one must identify the number(s) that appear most frequently. In the dot plot for the students, the number of siblings that appears most frequently is 2, as there are 7 dots above the number 2 on the number line. This makes 2 the mode for the students' data.

 For the teachers' data, the number of siblings that appears most frequently is 4, with 5 dots above the number 4 on the number line. Therefore, 4 is the mode for the teachers' data.

 Comparing the modes of the two data sets, we have:

- Mode for students: 2

- Mode for teachers: 4

The other options provided do not accurately reflect the modes of the data sets based on the given dot plots.

solve this equation 8-x2= -17

Answers

Answer:

x=25/2

Step-by-step explanation:

8-2x-8=-17-8

-2x=-25

-2x/2= -25/2

Answer:

x=5 or x=−5

they both work

Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why

Answers

Final answer:

Point P will be closer to B than to A because the ratio of the partition is 4/7 which is closer to B than the ratio of 3/7 to A.

Explanation:

To determine whether point P will be closer to A or B, we need to consider the ratio of the partition. In this case, the ratio is 3:4. This means that the segment from A to P is 3/7 of the total segment, and the segment from P to B is 4/7 of the total segment.

Since the ratio of the partition is closer to B (4/7) than to A (3/7), point P will be closer to B than to A.

For example, if the distance from A to B is 7 units, the distance from A to P will be 3 units (3/7 * 7) and the distance from P to B will be 4 units (4/7 * 7).

If point P partitions the directed line segment from A to B into the ratio 3:4, then P will be closer to A. The ratio 3:4 means that the segment AP is 3 parts long while segment PB is 4 parts long, making PB longer than AP. The entire segment AB is therefore divided into 7 equal parts, with point P falling 3/7 of the distance from A and 4/7 from B. Since 3/7 is less than 4/7, P is closer to A.

The student council spent $187.55 for their dance. Advance tickets brought in $202.75, and door sales totaled $116. About how much profit did the student council realize?

Answers

They profited $131.20
Total spent: $187.55

Total earned: $318.55

We get the total earned by adding $202.75 from the advanced ticket profit and $116 from the sales total profit.

$202.55+$116=$318.75

From there we take the total earned, $318.75 and subtract it from what they initially spent, $187.55

$318.75-$187.55=$131.02

The total profit they made that day marks up to $131.02

Is x greater than,less than, or equal to 43

Answers

Answer: Equal

Step-by-step explanation: Brainiest answer pls

Answer:

ever so slightly greater than

x > 43

Step-by-step explanation:

hope this helped! :D

brainliest?

The interquartile range is equal to what?

Answers

Answer:

Q3-Q1

Step-by-step explanation:

you are subtracting the highest and lowest values of a specific part of a set of numbers to get the range of a part of data

An electronics store sends an email survey to all customers who bought tablets. The previous month, 570 people bought tablets. Surveys were sent to 300 of these people, chosen at random, and 138 people responded to the survey. Identify the population and the sample.
Group of answer choices
The population is 570. The sample is 138.
The population is 570. The sample is 300.
The population is 300. The sample is 138.
The population is 138. The sample is 570.
The population is 138. The sample is 300.

Answers

Final answer:

The population is the entire group of customers who bought tablets, totaling 570 people. The sample is the subset of 300 customers who were randomly chosen to receive the survey.

Explanation:

In the given scenario, an electronics store has conducted a survey among its customers who purchased tablets. To identify the population and the sample in this context, we look at the definitions of each term. The population is the entire group that is the focus of the study, while the sample is a subset of the population that is surveyed to represent the whole.

The population in this case includes all the customers who bought tablets during the previous month, which totals to 570 people. The sample is the group of customers who were selected to receive the survey. Since surveys were sent to 300 of these customers at random, the sample size is 300.

Therefore, the correct identification is: The population is 570. The sample is 300.

What value is 1/3 (4a + 1) = 1/2a

Answers

Answer:

 a = -2/5 = -0.400

Step-by-step explanation:

In the diagram below, point U is on segment $\overline{BY}$ and the measure of angle BUG is 30 degrees greater than the measure of angle GUY:

Answers

Answer: 75

Step-by-step explanation:

We have angle BUG angle GUY = angle BUY = 180. If we let angle GUY = x, then

(x+30) + x = 180 Solving this equation gives x=75.

Using the definition of linear pair angles, the measure of angle GUY is: 75°.

What is a Linear Pair?

A linear pair are two angles on a straight line whose sum equals 180 degrees.

Thus:

m∠BUG = m∠GUY + 30°

Therefore:

m∠BUG + m∠GUY = 180°

Substitute

m∠GUY + 30 + m∠GUY = 180 (linear pair)

2(m∠GUY) + 30 = 180

2(m∠GUY) = 180 - 30

2(m∠GUY) = 150

m∠GUY = 150/2

m∠GUY = 75°

Therefore, using the definition of linear pair angles, the measure of angle GUY is: 75°.

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A triangle has side lengths of 14 cm and 6 cm. Which could be the value of the third side, 27cm or 17cm

Answers

Answer:

17

Step-by-step explanation:

i think it was like the hypotenuse should be shorter than the other two sides sum.

Huilan is years younger than Thomas. The sum of their ages is 81. What is Thomas's age?

Answers

Answer:

Step-by-step explanation:

Let x = the age of Thomas

Let x + 6 = the age of Huilan

x + x + 6 = 70

2x + 6 = 70

2x = 64

x = 32 years

x+6 = 38 years

find the value of c so that (x+2) is a factor of the polynomial p(x). p(x)=4x^3+cx^2+x+2

Answers

Answer:

c = 8

Step-by-step explanation:

Use synthetic division here; it's the fastest approach.

Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:

-2     4         c                1           2

                  -8    (-2c+ 16)      (4c-34)

       ---------------------------------------------

         4    (c - 8)   (-2c + 17)     4c - 32

The remainder, 4c - 32, must equal zero if (x + 2) is a factor.

Then 4c - 32 = 0, and c = 8

Answer:

Altavistard is right, the answer is 8

Step-by-step explanation:

go look at altavistard...

A circular plate has circumference 23.9 inches. What is the area of this plate?

Answers

Answer:

Rounded to the nearest thousandth: ≈45.479

Step-by-step explanation:

The formula for finding area using circumference is

[tex]\frac{c^2}{4\pi }[/tex]

c=23.9"

[tex]\frac{23.9^2}{4\pi }[/tex]

Since we're using 3.14 for pi, multiply 4 by 3.14, and continue from there.

[tex]\frac{23.9^2}{4(3.14)} = \frac{571.21}{12.56} = 45.47850318[/tex]

but we don't use that big number! We round to the nearest thousandth!

≈45.479

Answer:

46 inches^{2}

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex]

To work this out you would first need to divide 23.9 by pi to find out diameter.

Then you would divide the diameter by 2 to find the radius. Then you would multiply pi by the radius squared.

1) Divide 23.9 by [tex]\pi[/tex].

[tex]23.9/\pi=7.608[/tex]

2) Divide 7.608 by 2.

[tex]7.608/2=3.804[/tex]

3) Multiply pi by the radius squared.

[tex]\pi *3.804^{2} =45.4601526[/tex]

4) Round To nearest whole number.

[tex]46 inches^{2}[/tex]

which table represents a function? Help plz

Answers

Answer:

Top left box

Step-by-step explanation:

In a function the values cannot repeat

Estimate a 15% tip on a dinner bill of $38.43 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

$6

Step-by-step explanation:

First round up to $40 and then (40/100)*15 = 6

The results of a survey indicate 50% of seventh-graders watch at least one movie
during the weekend. Based on this survey of a group of 50 seventh-graders, how
many will watch at least one movie this weekend?

Answers

Answer:

25 students

Step-by-step explanation:

50% of 50 is 25  

50/2 = 25

Answer:25

Step-by-step explanation:

The total number of children is 50

So 50%of50children is

50/100×50=2500/100

=25

When working with rational expressions, restricted values are values of your variable that results in an undefined rational expression. Given the following rational expressions: 2x+4/x^2−x−6 and 2/x−3 Determine whether the rational expressions are equivalent and explain your answer. Determine the values that would make the rational expressions undefined. Are these values the same or different? Explain.

Answers

Answer:

See below

Step-by-step explanation:

2x+4 / x^2-x-6

= 2(x+2)/(x-3)(x+2)

= 2/(x-3)

So the 2 expressions are equivalent

The values of x which make the expressions undefined are those values which make the denominators 0

For 2x+4/ x^2-x-6 they are X=3 and x= -2.

For 2/x-3 they are x =3.

Problem

A knitting pattern for a shawl calls for 8

stitches in the first row. Each row after that

has 2 more stitches than the previous row.

The explicit rule ax = 8 + (k − 1)2 gives the

number of stitches in the nth row row.

Answers

Answer:

The n row has [tex]2n+6[/tex] stitches.

Step-by-step explanation:

The given expression is

[tex]a_{k}=8+(k-1)2[/tex]

Where [tex]d=2[/tex] and [tex]a_{1}=8[/tex].

The number of stitches in the n row are expressed as

[tex]a_{n} =8+2n-2\\a_{n} =2n+6[/tex]

Therefore, the n row has [tex]2n+6[/tex] stitches.

Notice that the result is an expression, that is beacuse the problem is asking for a general solution, it's asking for the n row, which refers to certain row in general terms.

Answer:

1st question: C

2nd : 8

3rd : 46

4th : 540

Which value of b would make x²+bx-30 factorable?
A. -31
B. -17
C. 11
D. 13

Answers

Answer:

D. 13

Step-by-step explanation:

well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-

x= -b±[tex]\sqrt{b^{2}-4ac}[/tex] /2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since [tex]\sqrt{13^{2}-4*1*(-30)[/tex] = [tex]\sqrt{289}[/tex] = 17. So b=13.

I think the answer is. D 14

Please help fast will mark 5 stars

Answers

Answer:

1 solution

Step-by-step explanation:

The lines intersect 1 time

Answer:

1 solution

Step-by-step explanation:

The intersection is the one solution.

Which graph represents the circle (x + 2)2 + (y - 3)2 = 25?

Answers

Answer:

the center is (-2,3)

Step-by-step explanation:

The required graph that represents circle  (x + 2)² + (y - 3)² = 25  is given below in the image.

graph represents the circle (x + 2)2 + (y - 3)2 = 25 to determine.


What is an area circle?

The area of the circle is given by the pie times square of the radius.

Area of circle = πr^2


Standard form of the equation of circle = ( x - h ) ²+ ( x - y )² = r²
Where r is the circle's radius and h and k is the circle's center.
Given equation of the circle =  (x + 2)² + (y - 3)² = 25
where center is ( -2, 3 )
radius r = √25 = 5

While plotting a circle on a graph marks the center at ( -2, 3 ) radius. and draw the circle of radius 5 around the center ( -2, 3 ). The result is shown in the image.

Thus, the required graph that represents circle (x + 2)² + (y - 3)² = 25. is given below in the image.

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My co-worker Larry only likes numbers that are divisible by 4, such as 20, or 4,004. How many different ones digits are possible in numbers that Larry likes?

Answers

Answer:

7

Step-by-step explanation:

0, 1, 4, 8, -1, -4, and -8 can be divisable by 4

what are dependent events

Answers

Answer:

dependent events are if the outcome of one event affects the outcome of another

show all work 8x+38=-3(-6-4x)

Answers

8x + 38 = -18 + 12x
8x - 12 = 18 - 38
-4x = -20
x = 5
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