1. Which situation does NOT represent a functional relationship?
[A] Dave is a construction supervisor for several job sites. When Dave secures a contract for an additional job, he must hire 5 new construction workers to cover that Jobsite. The number of construction workers Dave oversees is related to the number of job sites under Dave's supervision.

[B] Betsy opened an account with $2,500 she had saved from a summer job. During the school year, she withdrew $200 each month from the account. The amount of money in Betsy's account is related to the number of months since Betsy opened the account.

[C] As a zoo veterinarian, Wanda is in charge of ordering vitamins for the spider monkeys. To be healthy, each monkey receives 3 vitamins. The number of vitamins that Wanda must order to have healthy spider monkeys is related to how many sider monkeys are kept at the zoo.

[D] Once a week, Rockwell participates in a soccer exercise. Based on Rockwell's performance, the soccer coach assigns two scores to Rockwell's evaluation form. How well Rockwell did on his performance as indicated by his scores is related to the number of weeks since Rockwell started practicing.
__________________________________________________________________
2. Determine A ÷ B, where A = 62x – 100 and B = 2x – 3.

[A] [tex]\frac{1}{31}[/tex]

[B] 60x - 97

[C] 31 - [tex]\frac{7}{2x - 3}[/tex]

[D] [tex]\frac{7}{2x - 3}[/tex]

Answers

Answer 1

Answer:

1. D2. C

Step-by-step explanation:

1. .....................................................................................................

A. This is a functional relationship as the number of workers depend on the number of job sites.

y = 5x

B. This is a functional relationship as the amount of money is dependent on the number of withdrawals

y = 2500 - 200x

C. This is a functional relationship as the number of vitamins depend on the number of monkeys

y = 3x

D. This is NOT a functional relationship as the output is a fixed value. The performance and scoring may repeat.

2. .....................................................................................................

GivenA = 62x -100B = 2x - 3To find A/BSolutionA/B =(62x - 100)/(2x - 3) =(31*2x - 31*3 - 7)/(2x - 3) =(31(2x - 3) -7)/(2x - 3) =31 - 7/(2x - 3)

Correct option is C.


Related Questions

Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?

The graph of g(x) is the graph of​ f(x)​ vertically stretched by a factor of 5.
The graph of g(x) is the graph of​​​ f(x) translated 5 units up.
The graph of g(x) is the graph of f(x) translated 5 units right.
The graph of g(x) is the graph of​​ f(x)​ vertically compressed by a factor of 5.

Answers

Answer: B) f(x) is translated 5 units up

Recall that y = f(x) since both are outputs of a function

Saying f(x)+5 is the same as y+5. So we're adding 5 to each y coordinate of each (x,y) point. A point like (1,7) turns into (1,12) after doing this shifting.

Doing this to every point shifts the entire f(x) curve 5 units up to get g(x)

Juan's class is going to construct an outdoor garden. The garden will be in the shape of a square, Juan's teacher gave the class three
options for the area of the garden: 30 square feet, 40 square feet, or 50 square feet.
Part A
Without using a calculator, approximate the side length, to the nearest tenth of a foot, for the garden with an area of 30 square fet. Show
your work.
Part B
The other two garden options have approximate side lengths of 6.3 feet and 7.1 feet. Locate and graph the three points on a horizontal
number line to show the approximation of the side length for each option.

Answers

Answer:

Part A: 5.5

Part B: Kindly refer to the attached image for the number line representation.

Step-by-step explanation:

Given that:

Possible area of the first garden = 30 sq ft

Possible area of the second garden = 40 sq ft

Possible length of the second garden = 6.3 ft

Possible area of the third garden = 50 sq ft

Possible length of the third garden = 7.1 ft

To find:

Part A: Side length of the square with area 30 sq ft to the nearest tenth.

Part B: Locating and graphing the three points on a horizontal number line.

Solution:

Formula for area of a square:

[tex]Area =(Side)^2[/tex]

Part A: Given that area = 30 sq ft

Putting in the formula to find the value:

[tex]30=Side^2\\\Rightarrow Side = 5.477 \approx \bold{5.5\ ft}[/tex]

Part B:

Kindly refer to the attached image for the number line representation of the given two lengths and the length calculated for the first square.

The three lengths are 5.5, 6.3 and 7.1 respectively.

The three numbers to located on the graph are = 5.5, 6.3 and 7.1

List the factor pairs of the number 14 can y’all give me all the answers? Plz :(

Answers

1,2,7,14. those are all the factor pairs for 14

Answer:

☆<《HOPE IT WILL HELP YOU >

Step-by-step explanation:

14 -> 1 ,2 ,7 , & 14

Factor of 14

how far is the point (5,2) from the x axis

Answers

Answer:

B     5 units

Step-by-step explanation:

Answer:

5 left (b)

Step-by-step explanation:

the x-axis the bottom axis and it starts at 0 and -5 is 5 from 0

Tony is solving the equation 4x = 12x + 20 for x. Tony uses the multiplicative property of equality to rewrite the equation as x = 3x + 20. Which statement correctly explains whether Tony used
the property correctly?

Answers

Answer:

Tony just simplified the equation by 2 (÷2 or ×0.2)

Step-by-step explanation:

Which numbers are between the numbers represented by Points A and B on the number line? Check all that apply. A number line going from negative 1 to 0. Point A is at negative 0.8. Point B is at negative 0.2. Negative StartFraction 7 Over 10 EndFraction Negative StartFraction 9 Over 10 EndFraction Negative one-half Negative one-fourth Negative two-fifths

Answers

Answer:

a,c,d,e

Step-by-step explanation:

The points  A = -0.8, B = -0.2, C = -0.7, D = -0.9, E  = -0.5, F  = -0.25, and G  = -0.4 lie between -1 and 0 on the number line.

What is the number?

An arithmetic value used to indicate an amount is called a number. A number is a mathematical concept that is used for counting, measuring, and labeling. Thus, mathematics is built on numbers.

Given:

A number line going from negative 1 to 0,

the number Point A = -0.8, B = -0.2, C = -7 / 10, D = -9 / 10, E = -1 / 2, F = -1 / 4, and G = -2 / 5

Convert all the points in decimal form as shown below,

C = -7 / 10 = -0.7

D = -9 / 10 = -0.9

E = -1 / 2 = -0.5

F = -1 / 4 = -0.25

G = -2 / 5 = -0.4

As you can see that the numbers lying between -1 and 0,

Thus, all points lie on the number line between -1 and 0.

To know more about numbers:

brainly.com/question/29766862

#SPJ5

<1 and <2 are vertical angles.
<3 and <4 are vertical angles.
<1=<3

Answers

Answer:

gdggsedfgnxshkvfvjk

Step-by-step explanation:

347534578065656766665

Convert to a fraction and simplify: 0.435

Answers

Answer:

87/200

Step-by-step explanation:

0.435 simplified fraction:

Move the numbers to the right of the decimal above 1000:

87/200(simplified)

Hope you learned from this answer!

Using the function g(x) = 175 + 85x, find
g(7).

Answers

Answer:

g

Step-by-step explanation:

gg

The value of the function g(7) will be 770.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the function is g(x) = 175 + 85x. The value of the function at x =7 will be calculated as,

g(x) = 175 + 85x

g(7) = 175 + ( 85 x 7 )

g(7) = 175 + 595

g(7) = 770

Hence, the value of the function will be 770.

To know more about an expression follow

https://brainly.com/question/28926100

#SPJ2

Help!!! It’s for a class

Answers

Answer:

[tex]m=\frac{e}{c^{2} }[/tex]

Step-by-step explanation:

[tex]e=mc^{2}[/tex]

[tex]m=\frac{e}{c^{2} }[/tex]

I don't know how to explain this but here you go.

Answer:

m refers to the invariant mass

Step-by-step explanation:

Which set of numbers do not contain zero?

Whole number, Natural Number, Integer, Or Rational.

Answers

Answer:

integers and rational

Step-by-step explanation:

it's because integers are only negative and rational are only fractions or decimals

Hope this helps!

Internet’s and rational numbers do not contain zeros

Cody buys a baseball bat for $164.50 and a baseball glove for $37.25. He estimates the total cost of the bat and glove by rounding each cost to the nearest $10.

Answers

Answer:164.50=16037.35=40160+40= 200

I hope I am right.

Represent the following sentence as an algebraic expression, where "a number" is the letter x.

1 is added to a number.

Answers

Answer: x+1

a number = x + 1

Solve for x
3x - 2 (x - 4) = 5 (2x + 1 )

Answers

Answer:

yes

Step-by-step explanation:

Answer:

3x–2x+8 = 10x+5

=> x + 8 = 10x + 5

=> 8 – 5 = 10x – x

=> 9x = 3

=> x = 3/9

=> x = 1/3

Function g is defined as g(x)=kf(x). What is the value of k?​

Answers

Answer:  k = 2

Pick an x value like x = 2

Note that f(2) = 1 and g(2) = 2. This shows we've doubled the f(x) value to get g(x). Therefore k = 2.

Or you could pick on x = 4 to see f(4) = 2 and g(4) = 4. The output of f(x) has been doubled as well.

It doesn't matter what x is since we'll have this doubling effect go on. I recommend picking x values where the points on the blue graph land perfectly on a grid location. Something like x = 5 seems a bit tricky.

Answer:

K = 2

Step-by-step explanation:

I just took a test with this question on it and got it right.

Hope this helps! :)

Diane baked 24 cookies with 2 scoops of flour. How many scoops of flour does Diane need in order to bake 36 cookies? Assume the relationship is directly proportional.

Answers

Answer:

3 scoops of flour

Step-by-step explanation:

Three scoops of flour because 24/2 is 12 so for every 12 cookies she needs 1 scoop of flour. With this information we can get 3 scoops as our answer. I hope this helps!

The answer is 3 scoops


Explanation: Half of 24 is 12. 12x2 equals 24 and there were 2 cups of flower. If Diane wants to make 36 cookies she would need 3 scoops of flower because 12x3 equals 36 since 12 is multiplied by 3 and it equals 36 so it would be 3 scoops.

please help this is all my points

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Hope this helps :)

(4) Abdi has two electric train sets: A and B. Each train is on its own circular track. He starts both trains at the same time. Train A returns to its starting point every 12 seconds. Train B returns to its starting point every 9 seconds. If the trains continue traveling, what is the least amount of time, in seconds, that both trains will arrive at the starting points at the same time?

Answers

Answer:

The least amount of time both trains will arrive at the starting points at the same time is 36 seconds.

Step-by-step explanation:

From the question, Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds.

First, we will determine the times the trains will return to the their starting points.

For Train A,

The second time Train A will return to its starting point will be at 24 seconds,

The third time will be at 36 seconds

The fourth time will be at 48 seconds and so on.

For Train B,

The second time Train B will return to its starting point will be at 18 seconds,

The third time will be at 27 seconds

The forth time will be at 36 seconds and so on.

Since both trains arrive at their starting points at 36 seconds,

Hence, the least amount of time both trains will arrive at the starting points at the same time is 36 seconds.

HELP - In baseball's home run hall of fame, Hang Aaron has 181 fewer than twice the number of home runs than that of Chipper Jones. Hank Aaron hit 755 home runs. How many home runs did Chipper Jones hit?

Answers

Answer:

Wait is this melody Montejano from tustin high ?

please help me out :(

Answers

Answer:

1.7×10‐⁵

mark brainlist

Answer:

1.7 * 10^-5

(c)

Step-by-step explanation: Im sure this is right

Municipal Golf Course has a membership fee of $120 a year plus $10 a round. Lafayette Golf Course has a membership fee of $80 a year plus $15 a round.



Type in the numbers and expressions that will complete the sentences.



The expression
represents the annual cost of a member golfing at Municipal Golf Course.



The expression
represents the annual cost of a member golfing at Lafayette Golf Course.



The cost of these two plans are equal when
rounds of golf are played in a year.

Answers

Answer:                                                                                                                                                       Lafayette Golf Course has a membership fee of $80 a year plus $15 ... Municipal Golf Course has a membership fee of $120 a year plus $10 a round. ... represents the annual cost of a member golfing at Lafayette Golf Course.

Step-by-step explanation: I rote this answer fist someone copied me.

.!.$.!.!.’!!.!!.!.!need help

Answers

oml! ill try give me a min tho

Answer:

8.) x×6=y

Step-by-step explanation:

1×6=6

2×6=12

4×6=24

5×6=30

25×6=150

For each of the others, multiply the value of x times the CoP for the y value and divide the value of y by the CoP to get the x value. I've attached the work for number 9.

find the slope of the tangent line for the function f(x)=x^2+4x-3 at the point (1,2)

Answers

Answer:

m = 6

Step-by-step explanation:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

f(x) = x² + 4x - 3

Point (1, 2)

Step 2: Find slope of tangent line

Find derivative of f(x): f'(x) = 2x + 4Plug in x coordinate into derivative to find slope: f(1) = 2(1) + 4 = 6

A student saves money to buy a laptop. The student already has 307.50 saved and puts aside $100 each month to help pay for the laptop. After 5 months, the total amount saved is 75% of the total cost of the laptop. How much more does the student need to save to buy the laptop rounded to the nearest cent.

Answers

Answer:

The amount the student needs to save is approximately $269.167

Step-by-step explanation:

The amount the student already has saved for his laptop = $307.50

The amount the student puts aside each month to pay for the laptop = $100

The total amount saved after 5 months = 75% of the total cost of the laptop

Therefore, we have;

The total amount the student has after 5 months = $307.5 + 5 × $100 = $807.5

The total amount saved after 5 months = 75% of the total cost of the laptop

Therefore;

$807.5 = 75% of the total cost of the laptop

The total cost of the laptop = $807.5/75% = $807.5/75 × 100 = [tex]\$ \ 1076\frac{2}{3}[/tex]

The total cost of the laptop ≈ $1076.67

Therefore;

The amount the student needs to save = $1076.67 - $807.5 = [tex]\$ \ 269\frac{1}{6}[/tex]

The amount the student needs to save ≈ $269.167.

6th grade math question.

Answers

Answer:

(2, 0) for the second one

Step-by-step explanation:

It is(2,0)


Explanation

Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 2 + 8 + 14 + 20 + ...


a. Use sigma notation to write the series. Explain what the numbers in the sigma notation represent in this situation and how you found the expression used in the summation.
b. Find the total number of beads in the necklace. Explain your method for finding the total number of beads.

Answers

Answer:

Step-by-step explanation:

Well, first we are going to add the beads together.

2 + 8 + 14 + 20 = 44

Next, let's multiply the sum by 18 because there are 18 rows of 44 beads.

18 x 44 = 792

I hope this answer helps. I not sure how to solve the sigma notation part, but there is the solving part. ;)

35 multiple by 2/7.

Answers

Answer:

the answer is 10

Step-by-step explanation:

The answer for that is 10.

What’s the answer to x + 1/2=x-1/2

Answers

Answer:

Hi there

Your answer is

No solution

Step-by-step explanation:

x+1/2 = x-1/2

-x

1/2 = -1/2

this is NO SOLUTION

What is the equation of the line that passes through the point (-2,-2) and has a
slope of 4?

Answers

Answer:

y=4x+6

Step-by-step explanation:

To find the equation of a line, use y=mx+b form. In this case, we need to find b and then find known values. When the line passes through the point (-2, -2) and has a slope of 4, we use the form to find the equation, and we will get y=4x+6.

Pls hurry due at midnight‼️

Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000
and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and
Anita to make the same amount of money?
A. 1.75
B. 121
C. 7
D. 30.25

Answers

Answer:

the answer is c

Step-by-step explanation:

hope this helpss!!

Answer:

7

Step-by-step explanation:

57000+2500x=64000+1500x

subtract 1500x from both sides

57000+1000x=64000

subtract 57000 from both sides

1000x=7000

divide both sides by 1000

x=7

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Answer in units of m/s 2 Building just one pyramid was an enormous task yet pharaoh continued to build them what do you think this indicates about Egyptian Cost of Normal SpoilageFrieling Company installs granite countertops in customers' homes. First, the customer chooses the particular granite slab, and then Frieling measures the countertop area at the customer's home, cuts the granite to that shape, and installs it. The Tramel job calls for direct materials of $2,300 and direct labor of $500. Overhead is applied at the rate of 130 percent of direct labor cost. Unfortunately, one small countertop breaks during installation and Frieling must cut another piece and install it to properly complete the job. The additional rework required direct materials costing $800 and direct labor costing $500. Assume that the spoilage was due to carelessness by a Frieling worker and it is considered to be normal spoilage.Required:1. Calculate the cost of the Tramel job.2. 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