The table below shows a proportional relationship between s and t . Which equation represents the relationship between s and t?

uhm, 67 and uknown number lol.

Answer: Mary potted 27 plants.

Step-by-step explanation:

Let x represent the number of $5 dollar bills

Let y represent the number of $10 dollar bills

Let z represent the number of $20 dollar bills

The wallet contained 11 bills in total. This means that

x + y + z = 11 (first equation)

The total value of the $5 bills is 5x

The total value of the $10 bills is 10y

The total value of the $20 bills is 20z

Given that the total value of the bills is $115, it means that

5x + 10y + 20z = 115 (second equation)

The total amount of the $5 and $10 was $75. It means that

5x + 10y = 75 (Third equation)

From the first equation,

x = 11 - y - z

Substituting this equation into the second and third equation, it becomes

5(11 - y - z) + 10y + 20z = 115

55 - 5y - 5z + 10y + 20z = 115

- 5y + 10y - 5z + 20z = 115 - 55

5y + 15z = 60 (equation 4)

5(11 - y - z) + 10y = 75

55 - 5y - 5z + 10y = 75

- 5y + 10y - 5z = 75 - 55

5y - 5z = 20

y - z = 4

y = 4 + z

Substituting y = 20 + z into the 4th equation, it becomes

5(4 + z) + 15z = 60

20 +5z + 15z = 60

5z + 15z = 60 - 20

20z = 40

z = 40/20

z = 2

y = 4 + z = 4 + 2 = 6

x = 11 - y - z = 11 - 6 - 2

x = 3

The $5 bills were 3

The $10 bills were 6

The $20 bills were 2

Answer:

10

Step-by-step explanation:

because 25%of 40 is 10

Answer:

10

Step-by-step explanation:

The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

The two functions such that composition (fog) (x) = H(x) are f(x) = 7x and g(x) = \(\sqrt{x-3}\).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

We have a function H(x) = 7 \(\sqrt{x-3}\)

We have to find two functions f and g such that (fog) (x) = H(x).

Let f(x) = 7x

g(x) = \(\sqrt{x-3}\)

The composition of these functions is,

(fog)(x) = f (g(x))

           = 7 . g(x)

           = 7 \(\sqrt{x-3}\)

           = H(x)

Hence the functions are f(x) = 7x and g(x) = \(\sqrt{x-3}\).

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Answer:

standard deviation of the sample distribution of the difference between these two sample means

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Tiger Woods was 15 under par after the third round of a golf tournament, but was 8 over par for the fourth round. So, his score for the entire tournament was -15 + 8 = -7 (That is, 7 under par).

Answer:

Gas left after 2 hours:  13−1(2)= 11

Gas left after t hours: 13−1t

Step-by-step explanation:

Since Abigail uses 1 gallon of gas per hour, she would use 1\times 2,1×2, or 22 gallons in 2 hours. Since Abigail started with 13 gallons in the tank, the amount remaining after 2 hours would be 13-213−2 or 1111 gallons.

Nolan has to pay for parking if he left his car in the lot for 6 hours will be $7. The expression will be C = 13 -t for t hours.

Mathematical expression is the combination of 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 be used to denote the logical syntax's operation order and other properties.

Given that Nolan is driving to a concert and needs to pay for parking. There is an automatic fee of $8 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot.

The expression for t hours will be:-

Gas left after t hours: 13−1t

Cost of gas left after 6 hours:  13−1(6)= $7

Therefore, Nolan has to pay for parking if he left his car in the lot for 6 hours will be $7. The expression will be C = 13 -t for t hours.

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Answer:

1/3

Step-by-step explanation:

p(event) = (number of desired outcomes)/(total number of outcomes)

total number of outcomes = 13 + 15 + 17 = 45

number of desired outcomes = 15

p(can of tomato soup) = 15/45 = 1/3

Explanation:

There really is not enough information here. You have not indicated how x is related to the rectangle.Perhaps (as an alternative to the assumption I made [above]), you meant for x > 0 to be the length of one side of a square.

I have attached the answer in the picture.

A specific X-value for the solution ,-4 is not equal to -3/2.

The x-value of the solution to the system of equations, we need to solve the given equation and the line represented by the data in the table. Let's begin by examining the first equation, 2x + 4y = 0.

We can rewrite this equation in terms of y:

4y = -2x

y = (-2/4)x

y = (-1/2)x

Now, let's use the data from the table to create a system of equations:

For the first data point (-1, 8):

y = (-1/2)x

8 = (-1/2)(-1)

8 = 1/2

Since 8 is not equal to 1/2, the first data point does not satisfy the equation.

For the second data point (3, -4):

y = (-1/2)x

-4 = (-1/2)(3)

-4 = -3/2

Again, -4 is not equal to -3/2, so the second data point does not satisfy the equation.

We can continue this process for the remaining data points, but from the information given, it seems that none of the data points satisfy the equation. Therefore, there is no solution to the system of equations.

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Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

If due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. The rock will hit the water in 2 seconds?

Given data:

Object falls = 16t² feet in t seconds

Rock from a bridge = 75 feet above the water

So,

72 =16t²

t² = 72/16

t²=  4.5

t = √4.5

t  =  2.12 seconds to hit the water

Therefore we can conclude that the rock will hit the water in 2 seconds.

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The original price of the meal deal if they would have exactly enough money to buy two of the meal deal is $4

let

x = cost of the meal

Both = 2x - 3

3/4x + 1/2x = 2x - 3

(3+2)x / 4 = 2x - 3

5/4x = 2x - 3

5/4x - 2x = - 3

(5-8)x/ 4 = -3

-3/4x = -3

x = -3 ÷ -3/4

= -3 × -4/3

= 12/3

x = $4

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Answer:

274

Step-by-step explanation:

In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.

In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.

This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.

To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.

We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.

So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.

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Answer:

I think its D

Help thid helps!

The coordinates of point G are G(1.5, -4) .

The Reflection of point G across x-axis and y-axis lies in quadrant 4 , and the coordinates of that point are G"(-1.5, 4)

From the given graph, we can see the point located at the right bottom quadrant and the coordinates are: G(1.5, -4)

Now, the transformation rule for a Reflection of point G across x-axis is:

(x, y)→(x, -y)

The rule for a reflection over the y -axis is (x,y)→(−x,y)

Thus, the coordinates of G after both reflections is:

G"(-1.5, 4)

Now, the coordinate will lie in the top left quadrant of the graph.

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By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

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

To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.

The triangular faces have base 5cm and height 12cm, so each one has an area of:

(1/2) x 5cm x 12cm = 30cm²

There are two of these faces, so their combined area is:

2 x 30cm² = 60cm²

The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:

5cm x 10cm = 50cm²

5cm x 13cm = 65cm²

Again, there are two of these faces, so their combined area is:

2 x (50cm² + 65cm²) = 230cm²

Finally, we add up the areas of all the faces to get the total surface area:

60cm² + 230cm² = 290cm²

Therefore, the total surface area of this triangular prism is 290cm².

Parallel lines are lines which are equidistant to each other long every point on both lines.

We know that,

A line is said to be perpendicular if it crosses another line at exactly 90°. Hence, as depicted in the image attached, TZ is perpendicular to RS.

here, we have,

given that,

Topic 16-1 number 13.Draw and label parallel lines XY and RS.Then draw and label TS so it is perpendicular to both XY and RS.Draw point Z on TS.

It is important to note that perpendicular lines always bisect one another and that the slopes of lines that are perpendicular are negative of each other and reciprocals.

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Answer:

The correct answer here is A. x = 17.

How I found this out:

3x + 3 and 5x - 7 are going to be different solutions in the end.  

I did the process of elimination.

First, I subsituted, 17 for x. 3 X 17 + 3 = 54. 5 X 17 - 7 = 78.

I then took 180 - 54 - 48 = 78 and 180 - 78 - 48 = 54, just to make sure they are positive numbers and not negative.

Since they work out, I chose this as my correct answer to your question.  

Step-by-step explanation:

Hope this helps! :)

I tried my best so I'm it's wrong.

9514 1404 393

Answer:

  D. Infinitely many solutions

Step-by-step explanation:

To compare two linear equations, it is handy to have them in the same for. It doesn't really matter what that form is. You generally want to reduce the equations as far as possible by removing any common factors from the coefficients.

Here, we can put both equations into standard form: ax +by = c.

First equation:

  y = -3x +5 . . . . given

  3x +y = 5 . . . .  add 3x

Second equation:

  6x +2y = 10 . . . . given

  3x + y = 5 . . . . divide by 2

These two equations are now identical. That means they describe the same line, so any (x, y) pair that satisfies one of these equation will also satisfy the other one (obviously). That means there are an infinite number of points these lines have in common, an infinite number of solutions.

__

More about number of solutions

Above is one of the possibilities.

Another possibility is that the left side looks the same, but the right side is different. For example, ...

  3x +y = 5

  3x +y = 4

The ratios of the coefficients of x and y are the same (a:b = 3:1). That means these lines have the same slope and they are the equations of parallel lines. They do not intersect, so this set of equations will have no solutions.

Another suitable form for comparing the slopes is slope-intercept form. The above two equations in that form would be ...

  y = mx + b

  y = -3x +5

  y = -3x +4 . . . . . . same slope, different y-intercept

__

If the equations are different (except as just noted), there is one solution. Lines with different slopes must cross somewhere. They will cross exactly once.

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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Answer:

Step-by-step explanation:

-3w - 15 = -6

-3w = 9

w = -3

Answer:

w = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-3(w + 5) = -6

Step 2: Solve for w