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20 POINTS​

The completed statement that described the situation indicated by the graph of the linear system of equations representing Carson and Romeo distance from the shore is presented as follows;

The graph of the system of equations show that Romeo was floating close to Carson and then swam alongside Carson

The system of equations represented on the graph has an infinite number of solutions because the two lines in the system of equations are the same line

A system of linear equations are a set of linear equations that are formed by the same variables, and which work together.

The points on the graph of the equation, obtained from a diagram of a similar question online are; (0, 5), (1, 6), (2, 7), (3, 8), (4, 9) (5, 10)

Therefore, the slope of the equation representing the distance from the shore is, m = (6 - 5)/(1 - 0) = 1

The y-intercept, the point where x = 0, is (0, 5), which indicates that the y-intercept is c = 5

The equation of the line in slope-intercept form, y = m·x + c, therefore is; y = x + 5

Please find attached the graph in the question of the equation created with MS Excel

The details of the question obtained from a similar question on the internet indicate that the graph of the equation of Carson's distances and the graph of the equation of Romeo's distances are the same straight lines.

The y-intercept of the graph represent the location where the Carson and Romeo where initially floating, therefore;

Romeo was floating close to Carson

The coinciding graphs indicates that Carson and Romeo swam side by side

The equations of the distances which are equivalent, indicates that the system of equations has an infinite number of solutions

The reason the system of equations have an infinite number of solutions is because the two lined overlap

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Answer: 6.7

Step-by-step explanation:

Answer:42/72 simplify =7/ 12

Step-by-step explanation:

Answer:

$3.94

Step-by-step explanation:

Since it is three apples and we want to know how much six apples would cost, we should just multiply $1.97 by 2. We have to double it.

1.97x2= $3.94

Answer:

$3.94

Step-by-step explanation:

So if 3 apples cost $1.97, then 6 apples cost twice that.

$1.97 x 2 = $3.94

Answer: a = 9.3

Hope this helps you!

There are B receives an amount of $35,733.33 more than C.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Let "b" be the amount that B receives.

A receives 1/2 × b, and C receives 1/3 × b.

The total amount that A and C receive is 1/2 × b + 1/3 × b = 5/6 × b.

Since A, B, and C are to share $44,000 in the ratio a:b:c, the total amount that A and C receive is 5/6 × b = $44,000.

Solving this equation for b, we get:

b = $44,000 / (5/6)

b = $44,000 x (6/5)

Apply the multiplication operation, and we get

b = $53,600

Therefore, B receives $53,600, and C receives 1/3 x $53,600 = $17,866.67.

B receives $53,600 - $17,866.67 = $35,733.33 more than C.

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The smallest integers k and m that satisfy this are k=1450 and m=975, so N = 1131.

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

If N is 22 percent less than one integer k, then

N = 78/100 k

= 38k/100

In N is 16 percent greater than another integer m, So

N = 116m / 100

= 29m/25.

Therefore, k is divisible by 50 and m is divisible by 25.

Setting these two equal, we have 38k/100 = 29m/25.Multiplying by $50$ on both sides, we get 39k = 58m

Hence, The smallest integers k and m that satisfy this are k=1450 and m=975, so N = 1131.

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Answer:

$32

Step-by-step explanation:

75/100=24/x

75x=100(24)

75x=2400

/75.   /75

x=32

hopes this helps please mark brainliest

Answer:

answer above is correct!

Step-by-step explanation:

25% of 32 is 8

32-8 is 24, aka 75% of the og price:)

Answer:

255

Step-by-step explanation:

If 422 guests were at a hotel and 170 ordered food, The percentage of food would clearly be 255.

Using basic conversion rule and division, the answer is the weight of each page is 2g.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

mass of book=0.65 kg = 650g

mass of cover=400g

number of pages=125

mass of pages= 650-400

=250

mass of each page= 250/125

=2g

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Answer: 17 chores

Step-by-step explanation:

5x+55=140

5x=85

5x/5=85/5

x--->chores

x=17

Answer:

Step-by-step explanation: if you subtract 17 from 16.15 you will get your answer of 0.85 so if you turn that to a percentage you will get .00085

Answer:

w = 6 / 21.

Step-by-step explanation:

To solve this equation, we first need to get all of the terms with the variable w on one side of the equation and all of the constants on the other side. To do this, we can use the distributive property to combine like terms on each side of the equation.

We can use the distributive property to combine the two terms on the left side of the equation to get 5 + 16w = 21w. This gives us the equation 21w = 6 - 45.

Next, we can add 45 to both sides of the equation to get 21w + 45 = 6 + 45. This simplifies to 21w + 45 = 51.

Finally, we can divide both sides of the equation by 21 to get the value of w. This gives us the equation w = (51 - 45) / 21 = 6 / 21.

Therefore, the solution to the equation is w = 6 / 21.

Answer:

The initial value in the given table is 41. This is the total cost to rent a costume for 1 day, which is the smallest number of days listed in the table. The initial value represents the fixed refundable security deposit that the costume rental store charges, which is a constant amount that does not depend on the number of days the costume is rented for.

Step-by-step explanation:

The equation of line that passes through points (-4, -5) and (-5, -7) is 2x - y + 3 = 0.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

The formula for equation of line that passes through points (x₁, y₁) and having slope m is, y - y₁ = m (x - x₁)

The given points are (-4, -5) and (-5, -7)

To find the equation of line, use formula,

y - y₁ = m (x - x₁)

Where m = (y₂ - y₁) / (x₂ - x₁)

For the points (-4, -5) and (-5, -7),

The slope m = (-7 - (-5)) / (-5 - (-4)) = (-7 + 5) / (-5 + 4) = -2 / -1 = 2

The required equation of line,

y - (-5) = 2 (x - (-4))

y + 5 = 2 (x + 4)

y + 5 = 2x + 8

2x - y + 3 = 0

The required equation of line is 2x - y + 3 = 0.

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Answer: See explanation.

Step-by-step explanation:

Any false inequality has no solution. For example |x+3|<-2 has no solutions for x. The graph would not display any answers for x as there is no solution due to the absolute value.

Answer:

3

Step-by-step explanation:

w(0) = 2(0) + 3

w(0) = 0 + 3

w(0) = 3

To paint 111 square meters of walls, it takes 6.05 hours. The result is obtained by using the speed of Natsumi to paint per hour.

With a constant speed to paint the wall, Natsumi has done painting as the shown data in the table.

Area (square meters) - Time (hours)

This is a problem with comparison. Let's take two samples of the data!

From the data, we know that for every additional 15 square meters, the time needed increases by 0.75 hours.

Then, we can continue the table.

The speed of Natsumi to paint per hour is

15/0.75 = 20 square meters/hour

The remain area

111 - 105 = 6 square meters

Time needed for the remain area is

6/20 = 0.3 hours

To paint 111 square meters of walls, it takes

x = 5.75 hours + 0.3 hours

x = 6.05 hours

Hence, time needed to finish painting and cleaning up 111 square meters of walls is 6.05 hours.

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A function in the variable w giving the cost C is 81.77 dollars.

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers.

Surface area of an open lid container is:

A=2×sides+Base

So,

A=2(lh+wh)+lw

Cost of the base is $5 per square meter and the cost of the sides is $3 per square meter.

Now, the cost function is:

C=3×2(lh+wh)+5×lw

C=6(lh+wh)+51w

Here, the length is twice the width then,

l=2w

C=6(2wh+wh)+5×2w²

C=6(3wh)+10w²

C=18wh+10w²

And we know that the volume is,

V= lwh

2w²h=10

h=5/w²

C=18wh+10w²

C=18w×(5/w²)+10w²

C=(90/w)+w²

C'=(-90/w²)+20w

0=(-90/w)+20w

20w=(90/w²)

20w³=90

w³=45

w=1.65

C=(90/1.65)+10×1.65²

C=81.77

Therefore, a function in the variable w giving the cost C is 81.77 dollars.

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a) Two mathematical expressions in terms of t showing Conor's total cost for going to the movie theater are:

b) Using one of the mathematical expressions above, Conor's total cost for going to the movie theater is $14.36.

Mathematical expressions are combinations of numbers and variables, using mathematical operations such as addition, subtraction, multiplication, division, and exponentiation.

Mathematical expressions are also known as algebraic expressions.

The cost of a ticket to a movie = t dollars

Amusement tax on each ticket = 15%

a) Mathematical Expressions to model the total cost, t:

Total cost = 1.15t

Total cost = t + 0.15t

b) Price of a movie ticket = $12.49

Conor's total cost = 1.15(12.49)

= $14.36

Using algebraic expressions, when Conor purchases a movie ticket for $12.49, including a 15% amusement tax, brings the total cost to $14.36.

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According to the given statement the probability that the hand contain exactly 2 face card is [tex]\frac{1}{221}[/tex].

Calculating a result or perhaps the probability that an event would ever occur is known as simple probability. Probability statistics are used by insurance firms to calculate the probability that they'll have to give out a claimed. By dividing one possible outcome by all other possible possibilities, one may determine a basic probability.

A regular 52-card deck is used to deal a poker hand, which consists of 4 cards.

The total number of cards in a deck 52

Number of faces cards in a deck = 2

Number of cards not face cards = 50

The total number of combinations of drawing 4 cards out of 52 cards = [tex]={ }^{52} C_4[/tex]

Now , the combination of 4 cards such that exactly 2 of them are face cards =  [tex]{ }^{2} C_2 \times{ }^{50} C_2[/tex]

That probability that perhaps the collection will comprise exactly six face cards is as follows:

= [tex]\frac{{ }^{2} C_2 \times{ }^{50} C_2}{{ }^{52} C_4}[/tex]

[tex]=\frac{\frac{2 !}{2 ! 0 !} \times \frac{50 !}{2 ! 48 !}}{\frac{52 !}{4 ! \times 48 !}}[/tex]

=[tex]\frac{1}{221}[/tex]

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Split infinitives are grammatical structures where the words "to" and "infinitive" are separated. Move the phrase separating the infinitive from the split position to get rid of the split infinitive.

In the given question we have to explain, what is a split infinitive and how we fix it.

As we know that,

Split infinitives are grammatical structures in which an adverb or adverbial phrase separates the "to" and "infinitive" halves of what is more often known as the to-infinitive in modern linguistics.

A split infinitive is created when the word "to" and the infinitive verb are separated by an adverb. To eliminate the split infinitive, move the phrase that divides it from the split place.

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The amount of money that Monica needs to deposit  each month in order to save up $10,000 in 5 years is; $91017.17865

The formula for compound interest is;

A = P (1 + r/n)^(nt)

where;

A is the total amount of money in the account after the interest has been compounded.

P is the initial deposit.

r is the interest rate.

n is the number of times the interest is compounded in a year

t is the number of years the money is deposited.

We are told that Monica would like to save up $10,000. Thus;

The initial deposit = $10,000.

The interest rate = 2.05%.

The number of times the interest is compounded per year; n = 12 (because the interest is compounded monthly),

The number of years the money is deposited; t = 5.

Plugging these values into the compound interest formula, we get:

A = 10000 (1 + (0.0205 / 12))^(12 * 5)

A = 10000 (1.001708333)^60

A = 10000 (1.101717865)

A = $101017.17865

Thus, the total amount of money in the account after 5 years will be $101017.17865.

Since Monica wants to save up $10,000, we can subtract this amount from the total amount in the account to find out how much she needs to deposit each month in order to reach her goal:

101017.17865 - 10000 = 91017.17865

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Total degree of freedom should be known to determine the critical values for an independent sample t test.

The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the number of items in the data sample.

An independent t-test must be performed, and the following is required: a single categorical variable with two levels and groups that is independent. a single ongoing dependent variable.

For instance, the number of degrees of freedom to be employed in computations would be n - 1 if the sample size on a chi-square test was 'n'. to figure out the degrees of freedom for an N=9 sample size. 9 less 1 equals 8 (df=9-1=8).

Hence we get the required answer.

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Answer:

9

Step-by-step explanation:

for this we make systems of equations

x= 2 points plays

y= 5 points play

2x+5y=34+29

2x+5y=63

x+y=18

  -y.  -y

x=18-y

2(18-y)+5y=63

36-2y+5y=63

16+3y=63

-36.    -36

3y=27

/3.  /3

y=9

hopes this helps

Step 1: Subtract 5 from Both Sides

10x + 5 = 3x - 23

10x = 3x - 28

Step 2: Subtract 3x from Both Sides

10x = 3x - 28

7x = -28

Step 3: Divide Both Sides By 7

7x = -28

x = -4

Answer: x = -4

Hope this helps!

Answer:

-4

Step-by-step explanation:

Given,

10x+5=3x-23

10x-3x=(-23)-5

7x=-28

x=-28/7

x=-4

The slope of the line passing through (-2, 3) and (2, 7) will be equal to 1.

Slope of the line is needed for the equation of the line and it is the measure of the degree of steepness of any given curve and If there are  two points (x₁, y₁) and (x₂, y₂) and we need the slope then the formula of finding the slope between these points is expressed as

m = (y₂ - y₁)/(x₂ - x₁)

where m is the slope between the points, (y₂ - y₁) is difference between the y coordinates and (x₂ - x₁) is the difference between the x coordinates.

Now the points given are (-2, 3) and (2, 7), so the difference between the coordinates is expressed as

Now the slope will be equal to

m = (7 - 3)/(2 + 2)

m = 4/4

m = 1

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The regression model is assumption of ols assumes that there is no correlation between the error and the independent variables

What is the Assumption of Linearity?

Linearity Assumption (OLS Assumption 1) - The model will be inaccurate and therefore unreliable if it is fitted to data that is not linearly connected. Extrapolating from the model is likely to produce inaccurate results. As a result, you must always draw a graph of the observed and anticipated values. The linearity assumption is confirmed if the graph is symmetrically distributed over the 45-degree line. By applying non-linear transformations to the independent variables, you can change the functional form of the regression if the linearity requirements are violated.

The OLS assumption of no multi-collinearity says that there should be no linear relationship between the independent variables.

Hence, The regression model is the assumption of ols assumes that there is no correlation between the error and the independent variables.

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