2
Write an equation in slope-intercept form that models the situation. In order to go bowling,
you must pay a one-time fee of $10 for rental shoes, and then pay $3 per game. Let y
represent the total cost of bowling after playing x games. * (5 Points)
y=-3x+10
y=3x+10
y=10x-3
y=10x+3
y=-10x+3

Since you cannot have a partial week, it would take Alex at least 5 weeks to work 51 hours at this rate.

Time and work is a mathematical concept that includes determining the amount of time necessary to do a specific quantity of labor. This idea is frequently applied in daily life and a number of industries, including manufacturing, construction, and project management.

Problems with time and work include two factors: the quantity of employees and the amount of time needed to finish a task. The quantity of effort is fixed and unchanging. The formula Work = Time * Number of Workers must be applied in order to overcome these issues.

For instance, if a task requires three people to finish it in six hours, the total quantity of work completed is six hours multiplied by three, or 18 hours.

How to solve?

If Alex works 3 hours a day and 4 days a week, he works a total of 3 hours * 4 days = 12 hours per week.

To work 51 hours, it would take Alex 51 hours / 12 hours/week = 4.25 weeks.

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The amount in dollars discounted from the regular price is $21

From the question, we are to determine the amount that is discounted from the regular price

From the given information,

The regular price is $30

and

The item is on sale for 70% off the regular price.

Thus,

The amount discounted from the regular price = 70% of $30

The amount discounted from the regular price = 70% × $30

The amount discounted from the regular price = 0.7 × $30

The amount discounted from the regular price = $21

Hence, the amount is $21

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Probability is the possibility of happening an event.

Given that, the gold prospector panned for gold 1000 times and actually found 53 times of those times.

The probability that he will find the gold next time is:

53/1000

= 0.053

Hence, the probability that he will find the gold the next time he pans for gold is 0.053.

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There were 14-floor seat tickets sold to their spring play.

A linear equation is defined as an equation in which the highest power of the variable is always one.

Let's assume x be floor seat tickets and y be balcony seats

As per the given formation, the equation would be as:

x + y = 800  ....(i)

110x + 8y = 7740 ...(ii)

Multiply by 8 into equation (i), and subtract into equation (ii),

110x + 8y - 8x - 8y = 7740 - 6400

102x = 1340

x = 1340/102

x = 13.7 ≈ 14

Therefore, there were 14-floor seat tickets sold.

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The equation of line is y = -2x - 8 and the slope is -2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = -2x - 8   be equation (1)

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

The slope of the line m = -2

The y intercept of the line b = -8

Now , the graph of the linear equation is given below

Hence , the equation of line is y = -2x - 8

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Answer: About 15 feet.

Step-by-step explanation: To solve this problem, we can use the Pythagorean theorem. The ladder forms the hypotenuse of a right triangle with the building and the ground, with the angle at the building forming the right angle. If the ladder is 8 feet away from the building, then the length of the ladder is the same as the length of the other leg of the triangle.

We can use trigonometry to find the length of this leg. In a right triangle, the tangent of an angle is equal to the length of the opposite side divided by the length of the adjacent side. In this case, the adjacent side is the length of the ladder and the opposite side is 8 feet, so we can write the following equation:

tan(25 degrees) = opposite side / adjacent side

tan(25 degrees) = 8 feet / adjacent side

To find the length of the adjacent side (the ladder), we can divide both sides of the equation by the tangent of 25 degrees:

adjacent side = 8 feet / tan(25 degrees)

According to my calculations, the length of the ladder is about 15 feet, so the correct answer is A: About 15 ft.

Answer:

5 bags of popcorn

3 drinks

Step-by-step explanation:

Let's set up a system of equations!

Let p equal the number of bags of popcorn and d be the number of drinks.

We know Ruby bought 8 total, so we know [tex]p + d = 8[/tex]. We also know that she spent $42 total, so we can multiply their respective costs by the number to set up another equation: [tex]6p+4d=42[/tex]. We have our system of equations now!

Let's use substitution to solve this. From the first equation, subtracting p from both sides gives us that [tex]d=8-p[/tex]. We can plug this into our second equation to solve for p. Plugging in this for d gives us [tex]6p+4(8-p)=42[/tex]. Multiplying through and then combining like terms results in [tex]32+2p=42[/tex]. We then can subtract 32 from both sides and divide us by 2, which gives us that p = 5.

Now we solve for d! We can plug in the value of p into the equation [tex]p+d=8[/tex], to get that d = 3. To check our work, we can plug these values into the other equation, which gives us [tex]6*5 + 4*3 = 42[/tex]. This is true, so our values are correct!

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The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

The graph is shown below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 2x - 3 for -2 ≤ x ≤ 3.

The x values are between -2 and 3

For x = -2,

y = 2 x (-2) - 3 = -4 - 3 = -7

For x = 3,

y = 2 x 3 - 3 = 6 - 3 = 3

Now,

The graph is shown below.

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The number of miles that Mr.Cruz drive in February is 40  miles .

In the question ,

it is given that ,

Mr.Cruz drove 70 miles in March .

let the number of miles that Mr.Cruz drive in January is "x" miles .

He drive 4 times as many miles in February as he did in January ,

So , the number of miles driven in February is = 4x .

he also drive 7 times as many miles in march as he did in January .

So , the number of miles driven in March is = 7x

According to the question ,

7x = 70

x = 10

So , miles driven in February is = 4(10)

= 40 miles .

Therefore , the number of miles driven is February is 40 miles .

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Proof that the bisector of an isosceles triangle also bisects the angle.

A line segment's midpoint is the point on the segment where it divides into two congruent parts. a right-angled segment bisector that crosses the segment. A line (or portion of a line) that cuts through the middle is known as a segment bisector.

When two lines cross at right angles or 90 degrees, they are said to be perpendicular to one another. A line that splits a line into two equally sized halves is known as a bisector. A line segment's perpendicular bisector implies that it intersects the segment at a 90-degree angle and splits it into two equal halves.

Let ABC be the isosceles triangle with AB=AC, B=C, and BAD=CAD as the vertical angle bisectors.

As a result, the triangles satisfy the ASA criterion.

⟹BD=DC

Thus, the base is divided by the vertical angel's bisector.

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One of the six countries sent 41 representatives to the congress.

What, in the simplest words, is the Congress?

The Congress is our country's legislative body, which drafts our laws. The United States Senate and the United States House of Representatives are the two branches of Congress.

                    Each state has two U.S. Senators and a minimum of one U.S. Representative; the number of U.S. Representatives that can be elected depends on the number of citizens in the state.

(1) One of the six countries sent 41 representatives to the congress

(2) Country A sent fewer than 12 representatives to the congress

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Answer:46 answers :)

Step-by-step explanation:

The median would lie in the mean of the 15th and the 16th position.

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.

The mean (average), mode, and standard deviation are some other descriptive statistics that are frequently contrasted with the median.

Given, the total number of basketball players present (n) = 30

Total number of attempts made = 6

Since there are even number of players present, 30, the location of the median would be n/2 and n/2 + 1 positions.

For 30, the positions would be

= 30/2 and 30/2 + 1

= 15 and 16th position

Hence, the median would lie in the mean of the 15th and the 16th position.

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To find the minimum sample size needed to estimate the mean of a population with a certain level of confidence and margin of error, you can use the following formula: n = (Z^2 * p * (1 - p)) / e^2

What is mean?

The mean, also known as the arithmetic average, is a measure of central tendency that represents the average value of a set of data. To calculate the mean of a set of numbers, you add up all the numbers in the set and then divide the sum by the number of numbers in the set.

n is the minimum sample size
Z is the z-score corresponding to the desired level of confidence (e.g. for a confidence level of 92%, the z-score would be approximately 1.75)
p is the estimated proportion of the population that has the characteristic of interest (e.g. if you are trying to estimate the mean age of a population and you believe that about 50% of the population is within 5 years of the true mean age, then p would be 0.5)

e is the margin of error (e.g. if you want the error to be within 5 years of the true mean age, then e would be 5)

Plugging in the values given in the problem, we get:

n = (1.75^2 * 0.5 * (1 - 0.5)) / 5^2

= (3.0625 * 0.5 * 0.5) / 25

= 0.122 / 25

= 0.0049

Since sample size must be a whole number, we would need to round up to the nearest integer, which would be a minimum of 1 sample. However, it is generally recommended to use a larger sample size to increase the precision and reliability of the estimate.

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Step-by-step explanation:

Area of parallelogram = base • height

Where,

Base = 4.5 cm

Height = 5 cm.

Area = 4.5 cm • 3 cm

Area = 13.5 cm²

Have a nice day :)

Slugging average is more indicative of a good batter rather than batting average.

The total number of bases a player accumulates per at-bat is represented by slugging percentage. In contrast to on-base percentage, which takes walks and hit-by-pitch pitches into account, slugging percentage simply considers hits. Slugging average is distinct from batting average in that not every hit is worth the same amount.

Given

Since Barrow is looking for a good batter for his team

In my point of view, Slugging average is more indicative of a good batter.

The slugging percentage is a player's average number of bases per at-bat. Slugging percentage, unlike on-base percentage, solely accounts for hits and excludes walks and hit-by-pitch pitches from its computation. In contrast to batting average, slugging percentage does not reward every hit equally.

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The value of a is -4 from the given system of linear equations.

The system of given equations are ax+12y=-6 and 2x-6y=4.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here, ax+12y=-6 -------(I) and 2x-6y=4 -------(II)

Given, no solution for the system

So, (a1/a2) = (b1/b2) ≠ (c1/c2)

Now, a/2 = 12/(-6)

a=-4

Hence, the value of a is -4 from the given system of linear equations.

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Answer:

A = 4

Step-by-step explanation:

4x2-20x=-3 and A(x2-5x)=-3

Hence:

4x2-20x = A(x2-5x)

4x^2 - 20x = A(x^2 - 5x)

Divide both sides by (x^2 - 5x) to isolate A:

(4x^2 - 20x)/(x^2 - 5x) = (x^2 - 5x) * A/(x^2 - 5x)  

A = (4x^2 - 20x)/(x^2 - 5x)

A = (4x(x - 5)) / (x(x - 5))  ==> factor each polynomial

A = (4x) / (x)   *   (x - 5)/(x - 5)

A = (4x) / (x)   *   1   ==> (x-5)/(x-5) = 1

A = (4x) / (x)

A = 4x/x  ==> simplify

A = 4

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Answer:

Step-by-step explanation:

A 10% slope is one that rises by 1 unit for every 10 units travelled horizontally (10 %). For example, a roof with a 10% slope that is 20 m across will be 2 m high. This is the same as a gradient of 1/10, and an angle of 5.71° is formed between the line and the x-axis.

Answer: x=7

Step-by-step explanation:

2/5=x+1/3x-1

find the LCD

15x-5

multiply 2/5 by 3x-1

multiply x+1/3x-1 by 5

6x-2=5x+5

x=7

Answer:

A store has apples on sale for $21.00 for 6 pounds.if an apple approximately 5 ounces,how many apples can you buy for $168.00?  

you can buy approximately 256 apples

Step-by-step explanation:

Part 1 The cost per pound of the apples on sale is —3.50—-

Part 2 you can buy——48——pounds of apples for $168.00

Part 3 since 1 pound =16 ounces,so there are about __3__apples in each pound

Part 4 you can buy approximately—256— apples for $168.00

Answer:

Step-by-step explanation:

x - 0.25x = 18

3/4x = 18

x = 24

Answer:

300

Step-by-step explanation:

the way to find perimeter is to add the numbers that are on the outside of the shape.

Answer: 300m

Step-by-step explanation: To find the Perimeter of the triangle or any shape, you need to add the length of the outside!

In this case, it is 104, 58, 138. Add all of them together you get 300m

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18 Kilos

Step-by-step explanation:

2646 /147 = 18

Simplifying the algebraic expression [tex]( x + 4 ) ( 2 x + 9 )[/tex] will give an answer [tex]2x^{2}+17x+36[/tex].

The technique of writing an algebraic expression in the most effective and compact form without altering the original expression's value is known as simplification.

The procedure involves gathering related phrases, which calls for adding or removing terms from an expression.

According to the distributive property of algebraic expressions, each term in an expression's sum or difference must be multiplied by a number outside of the parenthesis. A number is used as the value outside of the parenthesis with the total or difference.

Here the algebraic expression is:

[tex]( x + 4 ) ( 2 x + 9 )[/tex]

Use the distributive property to simplify the expression,

⇒ [tex]( x + 4 ) ( 2 x + 9 )[/tex]

⇒ [tex](x)(2x)+(x)(9)+(4)(2x)+(4)(9)[/tex]

⇒ [tex]2x^{2} +9x+8x+36[/tex]

⇒ [tex]2x^{2} +17x+36[/tex]

Therefore, the solution will be [tex]2x^{2} +17x+36[/tex] when the algebraic expression is simplified.

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Answer: (1/4)CD

Step-by-step explanation:

CD is 100% when the line segment is 25% of it or 1/4 of it! Then the line segment is (1/4)CD.

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The statistic said to be Unbiased Estimator If a statistic used to estimate a parameter is such that the mean of its sampling distribution is equal to the true value of the parameter being estimated.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem. Statistics are numerical representations of sample characteristics. One population parameter is the average income in the United States. On the other hand, a sample statistic is the average income for a sample taken from the United States. Although both figures correspond to the mean income, only one is a statistic.

Here,

The reported statistic is Independent Estimator If the mean of the sampling distribution for a statistic used to estimate a parameter matches the actual value of the parameter being estimated.

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In 1 day, there are 24 hours.

In 1 hour, there are 60 minutes.

To convert 1.3 days into hours, multiply by 24:

[tex]1.3*24=31.2[/tex]

Therefore, 1.3 days is equivalent to 31.2 hours.

To convert 31.2 hours into minutes, multiply by 60:

[tex]31.2*60=1872[/tex]

Therefore, 31.2 hours is equivalent to 1872 minutes.

1.3 days

31.2 hours

1872 minutes

Answer:

konsi bhasha h bhai ye?

Step-by-step explanation:

i dont understand