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All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

x=3

(26x+50degreese) = 134 degreese

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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we have that

The coordinate of point B(8,7) and the coordinate of point C(6,3)

Find the midpoint BC

Remember that the formula to calculate the midpoint between two points is equal to

we have

(x1,y1)=B(8,7)

(x2,y2)=(6,3)

substitute the given values in the formula

therefore

The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

y = (x/2) - (5/2)

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

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Answer:

y=5

x=31

Step-by-step explanation:

5y=25

y=5

25+25+10x=360

50+10x=360

x=31

Step-by-step explanation:

8(2x-7) =8

16x - 56 = 8

16x = 64

x = 4

1). Distribute 8 and multiply.

2). Add 56 to both sides.

3). Divide both sides by 16.

Let me know of you have any questions!

Answer: Divide both sides by 88.

2x-7=1

2x−7=1

2 Add 77 to both sides.

2x=1+7

2x=1+7

3 Simplify  1+71+7  to  88.

2x=8

2x=8

4 Divide both sides by 22.

x=\frac{8}{2}

x=

2

8

​

5 Simplify  \frac{8}{2}

2

8

​

  to  44.

x=4

x=4

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

140/12.5=11

Answer: 28

Step-by-step explanation:

Using the formula for the perimeter of a rectangle,

\(2(5z-2+4z)=104\\\\9z-2=52\\\\9z=54\\\\z=6\\\\\therefore AD=5(6)-2-28\)

Answer:

  2.  Tenths place

Step-by-step explanation:

When you're concerned with the precision of a sum, the final value must be rounded to the precision of the least-precise contributor.

The numbers contributing to this sum are ...

  7.273, with least significant digit in the thousandth's place.

  -12.4, with least significant digit in the tenths place.

The smaller the place value of the least significant digit of a number, the greater the precision it has. The least-precise number will have the largest place value of its least-significant digit.

  tenths > thousandths, so -12.4 has less precision

First of all, we compute the sum as though every contributor were exact. This is especially important when there are more than two contributors. With only two contributors, you get the same result if you round the more precise number first.

  7.273 -12.4 = -5.127 . . . . . preferred method of finding the sum

  7.3 -12.4 = -5.1 . . . . . . . . . . alternate approach for 2 contributors

Finally, we round that sum to the nearest tenth, reflecting the precision of -12.4:

  sum = -5.1

__

Additional comment

As a general rule, this fixation on precision applies to quantities that are measured, estimated, or rounded.

For example, it doesn't make much sense to report a financial value to the penny if one of the contributors has already been rounded to the nearest hundred-thousand dollars. The amount could already be in error by up to $50,000, so precision to the penny is meaningless.

When working many kinds of problems, it can be useful to report answers to the same precision used for the problem values. In some cases, you are told exactly what precision to use for an answer (nearest integer, tenth, or hundredth). Where you are not told, it usually doesn't make much sense to use 6 significant digits for an answer to a problem with values given as one significant digit. However, it can be sensible to report the answer to 2 or 3 significant digits.

__

Here (in this problem), we're concerned with a sum. When you are computing a product or ratio, the rules are different. In those cases, the (least) number of significant digits in the contributors will determine the number of significant digits in the answer. Where mixed arithmetic (products and sums) is involved, the rounding of the final answer will depend on the final operation:

  a(b+c) . . . the final operation is multiplication

  ab +ac . . . the final operation is addition

As with all computation, the intermediate results should be carried to full calculator precision (unless directed otherwise). Only the final answer should be rounded to the necessary precision.

The sum ​(5.3x+4​)+​(−4.7x+7​) is ​0.6x+11.

The sum of two or more numbers, magnitudes, quantities, or specifics as established by or as if determined by the mathematical addition process: 14 is the result of the combination of 6 and 8. a specific sum, particularly when referring to money: The costs were a huge amount. The outcome of adding two or more numbers or phrases is known as the sum in mathematics. As a result, the sum serves as a means of bringing everything together. To put it another way, combining two or more numbers yields a new outcome or sum.

(5.3x+4)+(-4.7x+7)

Determine the sign.

5.3x+4-4.7x+7

Combine like terms.

0.6x+11

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A dot plot would show 7 points for numbers greater than 2 and a histogram would have a maximum of 7 bars. Hence, Both statements b and d are true about a graph representing the data.

Statement b: A dot plot would show 7 points for numbers greater than 2. This is true because there are 7 data points (2, 3, 4, 4, 4, 5, 6) in the data set that is greater than 2.

Statement d: A histogram would have a maximum of 7 bars. This is because there are 7 unique values in the data set (0, 1, 2, 3, 4, 5, 6), and each unique value would correspond to a bar in the histogram.

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Answer:

43.2 meters

Step-by-step explanation:

Multiply the length of one piece of ribbon by 8 to determine the total length

5.4 * 8 =43.2 meters

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

Answer:

B, 50 + p.

Step-by-step explanation:

To combine their weight, you would add them together. B is the only answer that uses addition.

Answer:

x^2-4x+4

Step-by-step explanation:

See image below:)

Answer:

20.6

Step-by-step explanation:

let Hj be x

(x+ 27.4)/2= 24

x+27.4= 48

x= 20.6

It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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Answer:

Pretty sure it's D. y=2/1x

Answer:

y= 2/1 x

Step-by-step explanation:

Start from (-2,-4) rise up 4 and over 2 which means 4/2 simplify to 2/1

1.  The new volume will be 60 cubic feet. 2. Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

In general, volume refers to the amount of space occupied by an object or substance, measured in three dimensions: length, width, and height. It is a physical quantity that is typically expressed in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).

1. The volume of the cuboid is calculated as follows:

Volume = length x width x height

Volume = 5 ft x 3 ft x 2 ft

Volume = 30 cubic feet

If we double the height, the new height will be 2 x 2 ft = 4 ft. The new volume can be calculated as:

New Volume = length x width x new height

New Volume = 5 ft x 3 ft x 4 ft

New Volume = 60 cubic feet

Therefore, the new volume will be 60 cubic feet.

2. Step 1: Determine how many dog beds Molly can make with the fabric she bought.

Molly bought 12.5 yards of fabric, and she uses 2.5 yards of fabric for each dog bed. We can use division to find how many dog beds she can make:

12.5 yards / 2.5 yards per dog bed = 5 dog beds

Therefore, Molly can make 5 dog beds with the fabric she bought.

Step 2: Calculate the cost of the fabric for each dog bed.

Molly bought the fabric for $4.50 per yard, and she uses 2.5 yards of fabric for each dog bed. Therefore, the cost of the fabric for each dog bed is:

$4.50 per yard x 2.5 yards per dog bed = $11.25 per dog bed

Step 3: Calculate the revenue from selling one dog bed.

Molly sells each dog bed for $17.50.

Step 4: Calculate the profit from selling one dog bed.

Profit = revenue - cost

Profit = $17.50 - $11.25

Profit = $6.25

Step 5: Calculate the total revenue from selling all of the dog beds.

Molly can make 5 dog beds, and each dog bed sells for $17.50. Therefore, the total revenue is:

5 dog beds x $17.50 per dog bed = $87.50

Step 6: Calculate the total cost of the fabric for all of the dog beds.

Molly uses 2.5 yards of fabric for each dog bed, and she can make 5 dog beds. Therefore, the total cost of the fabric is:

2.5 yards per dog bed x 5 dog beds = 12.5 yards

$4.50 per yard x 12.5 yards = $56.25

Step 7: Calculate the total profit from selling all of the dog beds.

Profit = revenue - cost

Profit = $87.50 - $56.25

Profit = $31.25

Therefore, Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

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Answer:

Step-by-step explanation:

Given the sequence

To find

We see the sequence is AP

The required sum is

Using sum of AP formula

Finding the required terms

Getting the sum

Answer:

Where is the rest of the equation?

Step-by-step explanation:

The average velocity is  -10 ft/s.

Average velocity is just the average speed with a direction. If a trip starts and ends at the same point, the total displacement is zero, so the average velocity is zero.

For example, someone who takes 40 minutes to drive 20 miles north and then 20 miles south (to end up at the same place), has an average speed of 40 miles divided by 40 minutes, or 1 mile per minute (60 mph).

Given:

f(t) = 20t - 10t²

Now, from t=1 to t=2

f(1)= 20*1 - 10 * 1*1

f(1)= 10

and, f(2)=20*2-10*2*2

f(2)= 40-40

f(2)=0

Now,

Average velocity:

v = ( 0-10 ) / ( 2- 1 )

  = -10 ft/s

hence, the average velocity is  -10 ft/s.

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Answer:

the value is 4 i think

Step-by-step explanation:

Answer:

Solution: an Experimenter whats to estimate the average water consumption per family in the city

if individual families are used as the sampling united, a frame could be using censes data or atelephone book

if dwelling are used as the sampli units, aframe could be using Address book or city directory

If city blocks are used as the sampling units, aframe could been using is city directory

Step-by-step explanation:

7/3 in four different ways is 7/12

Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division. The main goal of dividing is to see how many equal groups are formed or how many are in each group when sharing fairly.

If 100 apples are to be shared by 20 girls equally. The number of apple each girl will get is 100/20 = 5 apples each.

Similarly to put 7/3 in four different ways we have to divide 7/3 by 4

7/3 ÷ 4 = 7/3 × 1/4

= 7/12

therefore 7/12 of the four places will give 7/3

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Answer:

90

Step-by-step explanation:

Answer:

45

Step-by-step explanation: