What is the equation of the line that is parallel to y minus 3 x = 2 and that passes through (6,1)?

The equation that models the relationship between the number of guests, x, and the total charge, y is A. y = 450 + 125x. The base charge for a single guest is $450, and for each additional guest, the charge increases by $125. So, we add 125 times the number of additional guests to the base charge of $450.

Answer:

1. True

2. True

3. False

Step-by-step explanation:

1. As long as a few of the animals reproduce the species should survive unless a terrible tragedy were to happen and all of the species lie with a d because their food ran out or their predators Drilled with a k them all. Honestly I am not sure about this question that much an even though these are fifth grade problems I am in fifth grade right now so yeah.

2. I did a quick search about this and I also used some of my logic and it would not make since if animals were to hang out in dry vernal pools. Unless there are animals out in the world that like living in stead plants and dried up water it would not make much since to choose false.

3. Scientists knowledge are growing every day so it is impossible to know everything about one subject because there is always more to learn.

Answer:

I hope this is helpful. enjoy

The solution to the system of equations is: x = 1 and y = 8.75.

Given the system of equations below:

3x + 4y = 38 ---> equation 1

5x - 4y = - 30 ---> equation 2

Add both equations together to eliminate variable y:

8x = 8

Divide both equations by 8

8x/8 = 8/8

x = 1

Substitute x = 1 into equation 1

3(1) + 4y = 38

3 + 4y = 38

4y = 38 - 3

4y = 35

y = 8.75

Therefore, the solution to the system of equations is: x = 1 and y = 8.75.

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Answer:

She wins 40 games

Step-by-step explanation:

I'm not the best at explaining but 5x12=60 so then we multiply 8 by 5 aswell and bam we have 40.

Answer:

Step-by-step explanation:

You will use Pythagoreans Theroy. which is going to give you the anwser of square root of 13.

Answer:

3.6

Step-by-step explanation:

We can use the Pythagorean Theorem for this problem which is a²+b²=c² .

So we'll make 2 "a", and 3 "b". So 2*2=4. Then 3*3=9

4+9=13

Now we need to find the square root of 13.

√13 = 3.60555127546399

Let's now round that number, which is going to be 3.6

Answer:

0.4245

Step-by-step explanation:

The probability that Z lies between -0.558 and 0.558 can be written as;

P(-0.558 < z < 0.558) = P(z < 0.558) - P(z < -0.558)

Using z - distribution table, we have;

P(z < 0.558) = 0.7122

P(z < -0.558) = 0.2877

Thus;

P(z < 0.558) - P(z < -0.558) = 0.7122 - 0.2877 = 0.4245

Answer:

Chris sells 5 tickets and Mary sells 16 tickets

Step-by-step explanation:

System of Equations

To solve the problem we call:

x = number of tickets sold by Chris

y = number of tickets sold by Mary

They sold a total of 21 tickets, thus:

x + y = 21            [1]

Mary sold adult tickets for $6.50 each and Chris sold student tickets for $4.00 each. The total income was:

4x + 6.5y = 124       [2]

Multiplying [1] by -4:

-4x - 4y = -84            [3]

Adding [2] and [3]:

2.5y = 40

Dividing by 2.5:

y = 40/2.5

y = 16

From [1]

x = 21 - 16 = 5

x = 5

Chris sells 5 tickets and Mary sells 16 tickets

The length of the diameter of the sphere is 30 cm.

The surface area of a sphere is given by the formula:

\(A = 4\pi r^2\)

where A is the surface area and r is the radius of the sphere.

We are given that the surface area of the sphere is 900π cubic cm. Therefore:

\(A = 4\pi r^2 = 900\pi\)

Dividing both sides by 4π, we get:

\(r^2 = 225\)

Taking the square root of both sides, we get:

r = 15

The diameter of the sphere is twice the radius, so:

d = 2r = 30

Therefore, the length of the diameter of the sphere is 30 cm.

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Answer: 59, 218

Step-by-step explanation:

5 ten thousands = 50,000

9 thousands = 9,000

2 hundreds = 200

1 ten = 10

8 ones = 8

50,000 + 9,000 + 200 + 10 + 8 = 59,218

Answer: 59,218

Step-by-step explanation:

The number that has 5 ten thousands, 9 thousands, 2 hundreds, 1 ten, and 8 ones is 59,218.

Answer:

5.04

Step-by-step explanation:

5.15 vs 5.04, .15 is greater than .04 because .04 is like comparing a 4 to a 15

Answer:5.04

Step-by-step explanation:

The range of the function m is [1, ∞). Thus, B is correct option.

The dοmain οf a functiοn is the cοllectiοn οf values that can be plugged intο it. This set represents the x values in a functiοn like f. (x). A functiοn's range is the set οf values that the functiοn can take οn. This is the set οf values returned by the functiοn when we enter an x value.

Tο determine the range οf functiοn m, we must first determine the set οf all pοssible functiοn οutput values.

Looking at the function graph, we can see that the lowest point is (3, 1) and the highest point is (∞, ∞).

As a result, the function m has a range of [1, ∞).

We can write: in interval notation:

m ∈ [1, ∞) range.

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The required product of the given expression \(5\times727\) is \(3635\).

Distributive property is defined as sum of two or more addends is multiplied by a number gives the same result by multiplying each addends separately and add the products.

For example:

\(a\times (b+c)=a\times b + a\times c\)

Partial product is defined as the product of each digit of a number is multiplied by each digit of other number separately.

Solving the expression using Distributive property and partial products:

\(5 \times 727 = 5 \times ( 700 + 27 )\\\)                     {∵ \(727=700+27\)}                  

Here, Applying the distributive property we get:

            \(= 5 \times700 + 5 \times27\\ = 3500 + 135\\ = 3635\)

Hence, the required value of the expression \(5\times727\) is \(3635\).

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The product of the 5×727 is 3635.

The definition of a distributive property states that when the sum of two or more addends is multiplied by a number, the results are the same whether the addends are multiplied individually or all at once. Like a×(b+c) = a × b + a × c.

The definition of a partial product is the result of multiplying each digit of one integer by each digit of the other number separately.

Given in question, 5 × 727

Using distributive property and partial product,

5 × 727 = 5 × (700 + 27)

            = 5 × 700 + 5 × 27

            = 3500 + 135

            = 3635

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Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

Answer:

$20-$14=$6

Step-by-step explanation:

this is correct because if you give the $20 to them and the toy costs $14 then you subtract that from the amount you gave them then whatever is left is how much you get back.

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The ordered pairings that cause the relation not to have a function are as follows: (1, 4) and (1, 3) are equivalent since they share the same x-value.

If the x-values map to only one y-value, the connection is a function. In other words, a function exists whether the relationship is one-to-one or many-to-one.

A function is a relation that states that there should be only one output for each input (or) that a function is a special form of connection (a set of ordered pairs) that follows a rule, i.e., every X-value should be coupled with only one y-value.

There must be no more than two y-values assigned to an x-value for a relation to be considered a function. Two separate x-values can, nevertheless, have the same y-values.

Because two y-values was assigned to the same x-value in the relation presented in the equation, the ordered pairings (1,4) and (1,3) prevent the relation from being a function. x = 1 has y = 4 and y = 3 correspondingly.

So,

When both ordered pairs are also included, the relation is no longer a function.

The ordered pairings that cause the relation not to have a function are as follows: (1, 4) and (1, 3) are equivalent since they share the same x-value.

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ANSWER

Yes, this forms a triangle

EXPLANATION

We want to check if the measurements 11, 11 and 11 can make the side of a triangle.

We will use the Triangle Inequality Theorem.

We have to check if the sum of any of the two measurements will be greater than the third. If yes, then, they can form a triangle and vice versa.

That is:

11 + 11 = 22

Since 22 is greater than 11, the measurements can form a triangle.

Here is an attachment with the answer. I hope this helps.

Answer:

the answer is 2.225.........

Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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Answer:

$3.90

Step-by-step explanation:

its B

The price of the ticket at which the student councils will maximize the profit is $3.90.

Option B is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of students = 480

Lowest ticket price = $3

Ticket price = $4.20

This means,

4.20 - 3 = 1.20

There is an increase of $1.20 which is 0.20 x 6 = $1.20.

The number of students who attended when the ticket price is $4.20.

= 480 - (6 x 20)

= 480 - 120

= 360

Profit:

= 360 x 4.20

= $1512

Ticket price = $3.90

This means,

3.90 - 3 = 0.90

There is an increase of $0.90 which is 0.20 x 4.5 = $0.90.

The number of students who attended when the ticket price is $3.90.

= 480 - (4.5 x 20)

= 480 - 90

= 390

Profit:

= 390 x 3.90

= $1521

Now,

Ticket price = $3.50

This means,

3.50 - 3 = 0.50

There is an increase of $0.50 which is 0.20 x 2.5 = $0.50.

The number of students who attended when the ticket price is $3.50.

= 480 - (2.5 x 20)

= 480 - 50

= 430

Profit:

= 430 x 3.50

= $1505

Now,

Ticket price = $4.00

This means,

4 - 3 = 1

There is an increase of $1 which is 0.20 x 5 = $1.

The number of students who attended when the ticket price is $4.20.

= 480 - (5 x 20)

= 480 - 100

= 380

Profit:

= 380 x 4.20

= $1520

We see that,

The profit is highest when the ticket price is $3.90.

Thus,

$4 ticket price will maximize the student council's profit.

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Answer:

A

Step-by-step explanation:

Answer:

Don't agree with 1 and 2, agree with 3

Step-by-step explanation:

1: -35 degrees Fahrenheit is colder than 35 degrees Fahrenheit.

2: A distance of 15 meters is greater than a distance of 10 meters, not less, so it is not closer to sea level.

3: A distance of 17 meters is less than a distance of 40 meters, so it is closer to sea level.

Answer:

15 miles per gallon

Step-by-step explanation:

unit rates compare units of one quantity to A SINGLE unit of another quantity

Answer:

15 miles per gallon.

Step-by-step explanation:

When it comes to unit rate, you are trying to find 1 of something. These typically have words like 'per'.

Answer:

11 inches

Step-by-step explanation:

All points that satisfy this Inequality will lie in the solution set.

Given that Start Fraction (x minus 2) squared Over 25 End Fraction + Start Fraction (y + 3) squared Over 4 End Fraction less-than 1, we need to find out which point lies in the solution set.

So, let's analyze the given inequality. We haveStartFraction (x minus 2) squared Over 25 EndFraction + StartFraction (y + 3) squared Over 4 EndFraction less-than 1Since the first term is a fraction with the denominator of 25, it will be maximum when the numerator is minimum. Similarly, the second term will be maximum when the numerator is minimum. Therefore, the given inequality will be maximum when x = 2 and y = -3.

Now, we can substitute these values into the inequality to find out the maximum value of the left side of the inequality. We haveStart Fraction (2 minus 2) squared Over 25 EndFraction + StartFraction (-3 + 3) squared Over 4 EndFraction = 0 + 0 = 0Since this value is less than 1,

all points that are close enough to (2, -3) will be a part of the solution set. In other words, all points whose distance from (2, -3) is less than the distance from (2, -3) to the point on the ellipse that is farthest from it, will be a part of the solution set.

Now, we need to find out the farthest point from (2, -3) on the ellipse.

We know that the ellipse has semi-major and semi-minor axes of lengths 5 and 2 respectively. Therefore, the farthest point from (2, -3) will be the point on the ellipse that lies on the major axis and is farthest from (2, -3).

This point will be (2, -3 + 2) = (2, -1). Therefore, the distance between (2, -3) and (2, -1) will be the maximum distance between (2, -3) and any point on the ellipse. We have d = |-3 - (-1)| = 2.

Therefore, the solution set will contain all points whose distance from (2, -3) is less than 2. In other words, the solution set will be a circle with center at (2, -3) and radius of 2.

We can write the equation of this circle as (x - 2)² + (y + 3)² < 4.

Therefore, all points that satisfy this inequality will lie in the solution set.

For example, the point (2, -2) satisfies this inequality, and therefore lies in the solution set.

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To determine which point lies in the solution set of the given inequality, we need to compare the value of the left side of the inequality to 1. If the left side is less than 1, the point lies in the solution set. If it equals or is greater than 1, it does not.

To determine which point lies in the solution set of the given inequality, we need to compare the value of the left side of the inequality to 1. Let's start by rearranging the inequality:

(x - 2)^2/25 + (y + 3)^2/4 < 1

If the left side of the inequality is less than 1, then the point (x, y) lies in the solution set. If the left side equals 1 or is greater than 1, then the point is not in the solution set. To visually represent the solution set, we can graph the equation of an ellipse.

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The graph of the function y = 1/3x - 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Check the picture below.

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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