Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid? “Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate.” “Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction.” “Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate.” “Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the difference in the corresponding x-values.”

Answers

Answer 1

The correct answer is: [A]: " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

What is  y-value?

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). Also called "Ordinate".

Here, The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

Thus, the correct answer is: [A]: " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

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Related Questions

Which newspaper is actually closest to the percentage of voters who support the governor reelection?

No Links Please

Answers

The newspaper that is actually the closest to the percentage of voters who support the governor's reelection is the tribune at 71%.

What is the sample size of a population?

The sample size (n) is the total number of completed responses gathered from a survey sampling process.

From the given information, using the formula for standard error of a sample proportion:

=  √ [p (1-p) / n)]

71% of 1100 of the tribune = 0.0136867% of 900 of the herald = 0.0148381% of 700 of the times = 0.01567

Therefore, the sample size of the tribune has the greatest and closest estimate to the actual percentage of voters that supports the governor for reelection,

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Which polygon is a convex heptagon?

A polygon has 7 sides. No angles go inside of the shape.
A polygon has 8 sides. No angles go inside of the shape.
A polygon has 8 sides. One angle goes inside of the shape.
A polygon has 7 sides. One angle goes inside of the shape.

Answers

Option (A) "A polygon has 7 sides. No angles go inside of the shape" is correct.

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

As we know, a convex heptagon is a polygon with seven sides, seven internal angles, and seven vertices, which means that a convex heptagon has seven sides.

A convex heptagon is a polygon that has 7 sides. No angles go inside of the shape.

Thus, option (A) "A polygon has 7 sides. No angles go inside of the shape" is correct.

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Answer: the first option

Step-by-step explanation:

Select the correct answer.
Over which interval of the domain is function h decreasing?
25?

Answers

Answer:

the function is only increasing.

Step-by-step explanation:

Gray can ride his bike 6miles in 20 minutes at this rate how many miles can he ride in 100 minutes

Answers

30. Since he can ride the bike 6 miles in 20 mins, and 100 divided by 20 is 5, the answer would be given to you by multiplying 5x6, which is 30. So he can travel 30 miles in 100 minutes.

sally has 10 pounds she wants to buy 28 cans of soda which cost 26p each. how much money does she spend and does she have enough

Answers

Answer:

she will need 728 pounds to buy 28 cans but she only has 10 pounds so she doesn't even have enough for 1 can of soda

Credit card A has an APR of 22% and an annual fee. All else being equal, at about what balance will the cards offer the same deal over the course of a year? (Assume all interest is compounded monthly)

Answers

All else being equal, at a $1,333.33 balance, the two credit cards will offer the same deal (finance charge) over a year.

What is a credit card finance charge?

A credit card finance charge is the fee associated with using credit.

Credit card issuers use the finance charges to minimize non-payment risks and earn some profits for extending credit to cardholders.

Data and Calculations:

                   Card A         Credit B

APR              22%               25%

Annual fee  $40                $0

To calculate the balance required, the required equation is

= 22%x + $40 = 25%x

Where x = required balance

Thus,

= 0.22x + $40 = 0.25x

= $40 = 0.03x (0.25x - 0.22x)

= 0.03x = $40

x = $40/0.03

x = $1,333.33

Question Completion:

Credit card A has an APR of 22% and an annual fee of $40, while credit card B has an APR of 25% and no annual fee.

Thus, all else being equal, at a $1,333.33 balance, the two credit cards will offer the same deal over the course of a year.

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A class of 30 students plans to collect at least $500 in donations for a rehabilitation camp. They have collected $270. How much more should each student collect?

Answers

Here
Total students=30
Total donation =$500
Then
Remainder dollers=500-270
=230
Again
230/30
7.66
Hence $7.66 should collected by each students

Pls help me with number

Answers

Answer:

Total people = 240

Step-by-step explanation:

Let the total number of people by 'x'.

[tex]\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\[/tex]

[tex]\sf \text{Number of women =$\dfrac{1}{3}x$}[/tex]

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

[tex]\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\[/tex]

      [tex]x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\ \dfrac{5}{12}x=100\\[/tex]

          [tex]\sf x = 100*\dfrac{12}{5}\\[/tex]

          x = 20 * 12

          x = 240

            Total number of people = 240

In the following graph we observe line segment AB being mapped by translation to line segment A'B'.



A. In two or more sentences, explain what test you could perform to check the validity of this translation.

B. Prove mathematically that the translation is valid using the test you mentioned above.

Answers

The translation of line AB to line A'B' is valid and the translation rule is (x,y) ⇒ (x - 7, y - 3)

How to validate the translation?

The graph that completes the question is added as an attachment

From the graph, we have:

A = (3,9) and B = (5,6)

A' = (-4,6) and B' = (-2,3)

Subtract the x and y coordinates of A' from A and B' from B.

So, we have:

AA' = (3 + 4, 9 - 6)

AA' = (7, 3)

BB' = (5 + 2, 6 - 3)

BB' = (7, 3)

See that:

AA' = BB' = (7, 3)

This means that the line AB is translated 7 units left and 3 units down

How to prove the translation mathematically

The translation above means:

(x,y) ⇒ (x - 7, y - 3)

Recall that:

A = (3,9) and B = (5,6)

So, we have:

A' = (3 - 7, 9 - 3)

A' = (-4, 6)

Also, we have:

B' = (5 - 7, 6 - 3)

B' = (-2, 3)

Hence, the translation is valid

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Write the equation in standard form for the circle with center (9,0) and radius 3
15.

Answers

(x-9)^2 + y^2 = 3^2 (or 9)

the number of keys on the keyring minus 2

Answers

Translating the given phrase into a variable expression is equal to k - 2.

What is a variable expression?

A variable expression refers to a mathematical equation which can be used to show the relationship that exist between a numerical quantity and a variable.

Next, we would translate the given phrase into a variable expression as follows:

Let the number of keys on the keyring be k.

Therefore, the variable expression is equal to k - 2.

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Complete Question:

Translate the phrase into a variable expression. Use the letter k to name the variable. If necessary, use the asterisk (*) for multiplication and the slash (/) for division.

The number of keys on the keyring minus 2?

please help i need the answer ASAP

Answers

Answer:

I believe what you would have to do is add each number so the top left box would be two and the bottom right would be 11

Step-by-step explanation:

A rectangle patio has a perimeter of 38 feet. If the length of the patio is 5 feet less than twice the width, find the dimensions of the patio

Answers

Answer:

The length is 11ft.

The width is 8ft.

Step-by-step explanation:

Hello!

Perimeter of a rectangle: [tex]P = 2(l + w)[/tex]

P = perimeterl = lengthw = width

We know that the length is 5 ft less than twice the width, which can be expressed by the equation: l = 2w - 5. We can plug in 38 for "P".

We can substitute the equation for l, and solve for the width.

Solve for W[tex]P = 2(l + w)[/tex][tex]38 = 2((2w - 5) + w)[/tex][tex]38 = 2(3w - 5)[/tex][tex]38 = 6w - 10[/tex][tex]48 = 6w[/tex][tex]8 = w[/tex]

The width is 8. We can solve for the length by plugging it back into the equation l = 2w - 5

Solve for Ll = 2w - 5l = 2(8) - 5l = 16 - 5l = 11

The length is 11.

The dimensions are 11 ft and 8 ft.

Find the area A and circumference C of a circle of diameter 12 cm. Use 3.14 for . Round the result to the nearest tenth.

Answers

37.68 is C and 113.04 is the A

Answer:

Area: 113cm²

Circumference: 37.7cm

Step-by-step explanation:

to find area use the formula πr², π being Pi (3.14) and r being radius

radius = 6cm (half the diameter)

3.14 × 6² = 113.04cm²

to find the circumference use the formula πd

diameter = 12cm

3.14 × 12 = 37.68

17.
select the correct answer
what is the equation of the problem shown with its focus on this graph?
Options are in photo!

Answers

Answer:

B

Step-by-step explanation:

find the prime factorization of 420​

Answers

Answer:

2,3,7,2,5

Step-by-step explanation:

When you factorize a number you divide them until the outcome numbers are prime. 420 is equal to 42 and 10.

42 is equal to 6 and 7 and 6 is 2 times 3

2,3,7 is prime

10 is 2 times 5

2 and 5 is prime

Answer:

420 = 2² × 3 × 5 × 7

Step-by-step explanation:

The first few prime numbers are:  2, 3, 5, 7, 11, 13, 17, ...

To find which prime numbers multiply together to make 420, start by dividing 420 by the first prime number, 2:

⇒ 420 ÷ 2 = 210

As 210 is not a prime number, we need to divide again.  Let's try dividing by 2 again:

⇒ 210 ÷ 2 = 105

As 105 is not a prime number, we need to divide again.  105 is not divisible by 2, so let's try dividing it by the next prime number, 3:

⇒ 105 ÷ 3 = 35

As 35 is not a prime number, we need to divide again.  35 is not divisible by 2 or 3, so let's try dividing it by the next prime number, 5:

⇒ 35 ÷ 5 = 7

As 7 is a prime number, we can stop.

Therefore, 420 is the product of all the prime numbers we found together with the final one:

⇒ 420 = 2 × 2 × 3 × 5 × 7

As 2 appears twice, we can write this using exponents:

⇒ 420 = 2² × 3 × 5 × 7

Ted needs 2500 metres for job. What length is this in kilometres

Answers

Answer:

2.5 kilometers

Step-by-step explanation:

One kilometer is 1000 meters

To convert from metres to kilometers, we divide by 1000

2500 ÷ 1000 = 2.5km

a house and lot cost $120,000. if the house cost 3 times more than the lot, how much did the house cost?

Answers

Answer:

$90,000

Step-by-step explanation:

We can can use substitution for this. First, we need to create two separate problems that represent this situation. The house and the lot together cost 120000, so we can make the equation h+l=120000. We also know that the house is worth 3 lots, so we can make the equation h=3l. Because h=3l, we can substitute for h, making the equation 3l+l=120000, or 4l=120000. To isolate l, we have to divide both sides by 4. If we do that, we get l=30000. Now, we have to substitute to find h. Our new equation is h+30000=120000. To isolate h, we have to subtract 30000 from each side. If we do this, we get h=90000. That's our answer.

Hope this helps!

Argelis had þhe following containers of paint leftover, 1/2 gallon, 3/4 quarts and 1/4 gallon. How many quarts of paint does argelis have left

Answers

3.75 quarts of paint does Argelis have left with her.

What is Gallons?

A unit of volume for measuring liquids. 1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces.

Here, we know that,

1 gallons = 4 quarts

so, 1/2 gallons = 1/2 X 4 = 2 quarts.

and 1/4 gallons = 1/4 X 4 = 1 quarts.

Now, total paint left with Argelis = 1/2 gallons + 3/4 quarts + 1/4 gallons

                                                     =  2 quarts + 3/4 quarts + 1 quarts

                                                    = 3 quarts + 3/4 quarts

                                                    = 15/4 quarts or 3.75 quarts

Thus, 3.75 quarts of paint does Argelis have left with her.

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4^2/5 / 4^x/5 = 4^0

Can you help me please

Answers

the answer is x equals 2

The regular hexagon has a radius of 4 in.

A regular hexagon has a radius of 4 inches.

What is the approximate area of the hexagon?

24 in.2
42 in.2
48 in.2
84 in.2

Answers

Given the radius of the regular hexagon, its area is approximately 42in².

Hence, option B) is the correct answer.

What is the approximate area of the hexagon?

Given that;

Radius of the regular hexagon = 4inArea A = ?

Since a regular hexagon can be divided into six equal triangle, we will determine the area of a single triangle and then multiply the area by 6 to get the area of the regular hexagon.

Angle of one triangle in the regular hexagon = 360°/6 = 60°.

To determine the height, we divide the triangle into two equal half, making a right angled triangle with hypotenuse 4in, Base 4in/2 = 2in.

We find the perpendicular height using Pythagoras theorem

h = √( (4)² - (2)² )

h = √( 16 - 4 )

h = √( 12 )

h = √( 2² × 3 )

h = 2√3

Now, we determine the area of a single triangle.

Area = (1/2) × base × height

Area = 0.5 × 4 × 2√3

Area = (4√3)in²

Now, to get the area of the regular hexagon, we multiply the area of the triangle by 6

Area of regular hexagon = 6 × (4√3)in²

Area of regular hexagon = 24(√3)in²

Area of regular hexagon = 41.57in² ≈ 42in²

Given the radius of the regular hexagon, its area is approximately 42in².

Hence, option B) is the correct answer.

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Answer: b

Step-by-step explanation:

If you can please give me a step by step explanation

Answers

Step-by-step explanation:

4(y+8)=9

for this sum first we need to multiply 4to y and 4 to 8

4y+32=9

then u need to -9 from both sides

4y=23

y=23/4

u will get the answer

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2+4x-60. The cost, in dollars, of producing the toy cars can be modeled by 3X2-x+ 200. The number of toy cars sold is represented by X

Answers

The equation that represents the profit function is P(x) = 5x - 260

How to determine the profit function?

The given parameters are:

C(x) = 3x^2 - x + 200 --- cost function

R(x) = 3x^2 + 4x - 60 --- revenue function

The profit function is calculated as:

P(x) =R(x) - C(x)

This gives

P(x) = 3x^2 + 4x - 60 - 3x^2 + x - 200

Evaluate the like terms

P(x) = 5x - 260

Hence, the equation that represents the profit function is P(x) = 5x - 260

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Solve the following inequality using both the graphical and algebraic approach: 8 minus x greater-than-or-equal-to 5 (8 minus x) Graph A On a coordinate plane, a line goes through (0, 8) and (8, 0). Another line goes through (8, 0) and (7, 10). Graph B On a coordinate plane, a horizontal line is at y = 5 and another line goes through (8, 0) and (0, negative 8). a. x greater-than-or-equal-to 8 Graph A b. x less-than-or-equal-to 8 Graph A c. x greater-than-or-equal-to 8 Graph B d. x less-than-or-equal-to 8 Graph B

Answers

The given inequality (8 - X ≥ 5(8 - x)) is solved using graphs method and the result is (Option A); that is x ≥ 8 Graph A.

What is the solution using algebraic approach?

The inequality is given as: 8-x≥5(8-x)

The next step algebraically is to open the brackets. Hence,

8-x ≥ 40 -5x

Next, we collect like terms

= -x+5x ≥ 40-8

= 4x ≥ 32

Make x the subject of the statement by dividing both sides with 4

= x ≥ 8


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(Need help answering these questions… please don’t give me links in the comments, because it doesn’t help me. Answer it in comments please. )



A bucket holds 5 gallons of water and a barrel holds 8.4 buckets of water.

a. What is the conversion factor to change gallons to buckets?

b. What is the conversion factor to change buckets to barrels?

c. A gallon (gal) of water is equivalent to 128 fluid ounces (fl oz). How many fl oz of water are in 1 barrel?

Answers

Answer:

a) 1/5 bucket = 1 gallon

b) 8.4 buckets = 1 barrel

c) 5376 fl oz per barrel

Step-by-step explanation:

a) From the given information, 1 bucket = 5 gallons. This means 1/5 of a bucket is 1 gallon.

b) From the given information, 8.4 buckets = 1 barrel. This seems to be in the form that the question is asking for. If the question was asking how many barrels were in a bucket the answer would be 1/8.4 barrels = 1 bucket.

c) From the previously determined conversion factors, we can take ounces to barrels by converting barrels down to gallons.

1/8.4 barrels = 1 bucket; 1/5 bucket = 1 gallon; 1 gallon = 128 fluid ounces

We need to set up a series of fractions that use these factors:

[tex]\frac{128 fl oz}{1 gallon}*\frac{1 gallon}{1/5 buckets}*\frac{1 bucket}{1/8.4 barrels}[/tex]

These fractions can be simplified to [tex]\frac{128 fl oz}{1 gallon}*\frac{5 gallon}{1 bucket}*\frac{8.4 buckets}{1 barrel}[/tex]

Multiply the fractions: 5376 fl oz per barrel

(Note that the units cancel out in the fractions so that only fluid ounces per barrel are left.)

Bailey went out to dinner. It cost $ 45.00. He wanted to leave a 20% tip for his waitress. Find the tip.​

Answers

Answer:

The tip should be $9.00

Step-by-step explanation:

We can start by making this more simple for ourselves.
A 10% tip is much easier to work with, rather than a 20% tip.
10% of 45 is 4.5. Since it’s a 20% tip, we’d multiply that by 2 to get 9.
Bailey should leave a $9 tip for the waitress.

ADEF is translated 5 units straight up so that point F lands on the x-axis. where does point D land?

Answers

Point D would be translated to the point (0, 5).

What is translation?

Translation is an aspect of geometry that moves plane shapes from one point to another along the cartesian coordinates without changing the form in which the shape exists.

Analysis:

Point D is at (0,0) if it is translated up from 0,0 the point D moves 5 units along the y-axis while x axis remain same. So that the new point of D becomes (0,5)

In conclusion, the point D will land at point (0,5)

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PLEASE HELP!!! I WiLL GIVE BRAINLIEST!!!!!
Identify the coefficients of x, y and z


5z - 2 + 6x + 3y

Answers

Answer:

x=5    y=3      z=5

Step-by-step explanation:

The coefficient is the number in front of the variable

Answer:

coefficient of x: 6coefficient of y: 3coefficient of z: 5

Step-by-step explanation:

The coefficient in an expression is the multiplier of a designated part of a term of the expression.

__

coefficients here

The given expression is

  5z -2 +6x +3y

It consists of four (4) terms, added together. One term is a constant, -2. The others each have a single variable that is multiplied by a constant. When we ask for the coefficient of the variable, we are asking for the value of that constant multiplier.

The term containing x is 6x. The multiplier of x in that term is 6, so we say ...

  the coefficient of x is 6.

The term containing y is 3y. The multiplier of y in that term is 3, so we say ...

  the coefficient of y is 3.

The term containing z is 5z. The multiplier of z in that term is 5, so we say ...

  the coefficient of z is 5.

__

other coefficients

In an expression such as πr²h, different parts of the expression will have different coefficients. If we ask for the coefficient of the expression, we are generally asking for the constant: π. (The Greek letter pi is the symbol used to represent the irrational constant ratio between the circumference and diameter of a circle. Is is about 3.1415926535....)

If we ask for the coefficient of h, we are asking for the product (πr²) that multiplies h in this expression. Similarly, the coefficient of is (πh). Note that we have specified a "designated part" of the expression for which we want the coefficient. This is important when we are solving equations.

__

The commutative property of multiplication means that parts of a product can be written in any order. That is, 5·z is the same product as z·5. When the constant and variable parts of the expression can be unambiguously identified, the order does not matter. In some cases, a constant coefficient may come in several parts: 3z·5·2 has a z-coefficient of 30, for example.

See below for a case where there may be some ambiguity.

__

exponents

In the expression r², the constant 2 that comes after the variable, written as a superscript, is called an "exponent," not a coefficient. Often on Brainly, and sometimes in curriculum materials, you will see this written as r2, because superscripts do not get properly rendered. If you're writing this in plain text, the form r^2 is preferred.

What is true of the function g(x) = -2x² + 5?
O g(x) is the multiplication of g and x.
O-212 +5 is the input of the function.
The variable x represents the independent variable.
The variable g represents the input of the function.

Answers

Answer:

C.) The variable x represents the independent variable

Step-by-step explanation:

The variable "x" is the independent variable because that is the value that we can manipulate. We cannot manipulate the dependent variable because it is determined by the independent variable. In that case, "y" would be the dependent variable because its value is dependent on what "x" is.

A.) is incorrect because g(x) symbolizes the input of the variable "x" into the g function.

B.) is incorrect because "x" is the input.

D.) is incorrect because "x" is the input.

( PLEASE HELP WITH THIS QUESTION)

You are studying a single-celled organism under a microscope. Is it possible for this organism to be classified as fungi?

Answers

Answer: Yes it is possible

Example: Yeast is a single-celled fungus.

There are probably other types of fungus that are single-celled. However, some other fungi are multi-celled. You will likely need more information about the organism under the microscrope before you can classify it properly.

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