Four children are playing a card game. The chart shows the number of cards each child has in his or her stack.
Name Number of Cards
Chris 7
Mike 8
Sally 10
Susan 25

Which is equivalent to Mike’s portion of the total number of cards?
A.) 2/25
B.) 16%
C.) 8/25
D.) 80%
(PLEASE EXPLAIN HOW YOU GOT THIS ANSWER)

The inequality that matches the region is [tex]y\geq -3[/tex].

What is linear inequality?

When a polynomial of degree 1 is compared to another algebraic expression of a degree less than or equal to 1, this is an example of a linear inequality, which is an inequality involving at least one linear algebraic expression. Different types of linear inequalities can be represented in a number of different ways.

The graph of the region shows a positive region which represents the value as a greater or increasing order.

The sign '>' represents the greater region.

So, the required answer is [tex]y\geq -3[/tex].

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The system that is represented in the graph include:

y > x² – 2x – 3

y > 3x + 4

The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. In this case, a graph consists of vertices connected by edges.

The graph shows a dashed upward opening parabola with a vertex at negative 1 comma negative 4, with shading inside the parabola. It also shows a dashed line passing through the points negative 2 comma negative 1 and 0 comma 3, with shading above the line.

This depicts y > x² – 2x – 3 and y > 3x + 4.

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Which system is represented in the graph?

y ≥ x2 – 2x – 3

y ≤ 3x + 4

y < x2 –2x – 3

y > 3x + 4

y < x2 – 2x – 3

y > 3x + 4

y > x2 – 2x – 3

y > 3x + 4

Answer:

1.) -12

2.) 28

3.) 40

Step-by-step explanation:

The elevation of an object is the height or depth of the object relative to the sea level. If the object is above sea level, its elevation will be positive. However, if the object is below sea level, its elevation will be negative. Therefore, we can conclude that the elevation of the fish is -12 m because it is below sea level.

Answer:

Based on these observations, the inequality represented by the graph is y > mx + b, where m is a positive number and b is a negative number.

Step-by-step explanation:

The graph represents a linear function. To find the inequality, we can find the equation of the line in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

From the graph, it can be seen that the slope of the line is positive, which means that as x increases, y also increases. Also, the y-intercept is negative, which means that the line crosses the y-axis at a negative value.

Based on these observations, the inequality represented by the graph is y > mx + b, where m is a positive number and b is a negative number.

Note that the exact values of m and b can be found by using two points on the line and solving for the slope and y-intercept using the formula for a line.

Answer: 123 students

32 % of 384 is 122.88. Since a percent of a person can't walk to school, we should round up. This means 123 students in the eighth grade walk to school each day.

I hope this helps and good luck <3!!

a. If you can play the game for free, the expected value is zero since there is no cost and no prize for winning.

b. To calculate the expected value when it costs $3 to play, we need to first find the probability of winning.

There are 8 possible outcomes on the spinner, and only one of them results in a win, so the probability of winning is 1/8. The probability of losing is 7/8.

The expected value is the sum of the product of each outcome and its probability. Let X be the amount won. Then:

E(X) = (1/8)($100) + (7/8)(-$3)

= $12.50 - $2.63

= $9.87

So the expected value when it costs $3 to play is $9.87. Since the expected value is positive, you can expect to make a profit in the long run.

However, this does not mean that you will win every time you play, as the outcome of each individual game is still random.

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The solution of the expression x = √176 is x = 13.27.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

An expression,

x² = 176

Taking the square root of the equation,

x = √176

x = 13.27

Therefore, the solution is x = 13.27.

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Answer:

To find out which rental car company is cheaper, you need to compare the cost for the same number of miles driven. Let's say you drive a total of "m" miles.

The cost for renting a car from Lou's Garage is 50 + 0.1m dollars.

The cost for renting a car from Jerry's Garage is 25 + 0.05m dollars.

To determine which option is cheaper, you need to compare these two expressions and find out which one is less. To do this, you can subtract the second expression from the first expression:

50 + 0.1m - (25 + 0.05m) = 25 + 0.05m

This equation shows that the cost of renting a car from Lou's Garage is 25 + 0.05m dollars more expensive than renting a car from Jerry's Garage for the same number of miles driven. Therefore, Jerry's Garage is the cheaper option.

The hybrid car will consume approximately 21.65 liters of gasoline to travel 132 km.To convert the hybrid car's fuel consumption rate from miles/gallon to kilometers/liter, we need to multiply by a conversion factor of 0.425 (1 mile = 1.609 kilometers, 1 gallon = 3.785 liters).

So the car's fuel consumption rate is 54.1 miles/gallon x 0.425 km/mile ÷ 3.785 liters/gallon = 6.09 km/liter.To find how many liters of gasoline the car will consume traveling 132 km, we can use the formula:

Gasoline consumed = distance traveled ÷ fuel consumption rate

Gasoline consumed = 132 km ÷ 6.09 km/liter = 21.65 liters (rounded to two decimal places).Therefore, the hybrid car will consume approximately 21.65 liters of gasoline to travel 132 km.

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Answer:

Kurram is elder by 19 months

You did not make enough money to buy the television with a total earnings of $458

To write an expression for total earnings, we can use the given rates of pay and multiply them by the unit rates of the activites and then add them together.

So the expression for total earnings (E) is:

E = 10x + 8y + 20z

Where

Using the given parameters in the question, the total earnings (E) in the last 4 weeks is

E = ($10 x 9) + ($8 x 26) + ($20 x 8)

Evaluate

E = $90 + $208 + $160

E = $458

$458 is less than the cost of television ($540)

This means that you did not make enough money

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Complete Question

You earn $10 for each lawn you mow. You earn $8 per hour working part time at an ice cream shop. You earn $20 cach day you deliver newspapers.

In the last four weeks, you mowed 9 lawns, worked 26 hours at the ice cream shop, and delivered newspapers 8 days.

Did you make enough to buy the television? Explain...

The television price is $540

Answer:Twerk

Step-by-step explanation:Twerk

The difference of the fractions 8/2 and 3/5 is given as follows:

17/5.

The difference operation for this problem is defined as follows:

8/2 - 3/5.

8 is divisible by 2, with a quotient of 4, hence the subtraction can be simplified as follows:

4 - 3/5.

With a common denominator of 5, we have that 4 x 5 = 20, hence:

20/5 - 3/5.

As the fractions now have a common denominator, we can subtract the numerators while keeping the denominator constant, thus the subtraction is given as follows:

(20 - 3)/5 = 17/5.

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a = 1st zero or root of the quadratic

b = 2nd zero or root of the quadratic

[tex]x^2-8x+k=0\implies (x-a)(x-b)=0\implies x= \begin{cases} a\\ b \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -ax-bx=-8x\implies -a-b=-8\implies -b=a-8\implies b=8-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{3a+4b=29}\qquad \implies \qquad \stackrel{\textit{substituting from above}}{3a+4(8-a)~~ = ~~29}\implies 3a+32-4a=29 \\\\\\ -a+32=29\implies 32=a+29\implies \boxed{3=a}\hspace{5em}\stackrel{ 8~~ - ~~3 }{\boxed{b=5}}[/tex]

[tex]~\dotfill\\\\ (x-3)(x-5)=0\implies x^2-8x+\stackrel{ \textit{\LARGE k} }{15}=0[/tex]

Any value of x that is less than or equal to -2 will make the inequality true.

What is Number line?

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.

To solve the inequality 3x - 1 <= -7, we can start by adding 1 to both sides to isolate the variable:

3x - 1 + 1 <= -7 + 1

Simplifying, we get:

3x <= -6

Next, we can divide both sides by 3 to solve for x:

3x/3 <= -6/3

Simplifying, we get:

x <= -2

This tells us that any value of x that is less than or equal to -2 will make the inequality true. We can represent this on a number line by shading all values less than or equal to -2

The circle at -2 indicates that -2 is included in the solution set, and the arrow pointing to the left indicates that all values less than -2 are also included in the solution set. Therefore, the number line that shows all of the values of x that make the inequality 3x - 1 <= -7 true is the one with all values less than or equal to -2 shaded.

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Step-by-step explanation:

h represents the number of hours

15 represents the initial price for bike rentals

0.75h represents that for every hour, the price of bike rentals increases by 0.75

Answer:

30%

Step-by-step explanation:

100-70=30

Answer: 1.25 and 1.33

Step-by-step explanation:

question 3:

both sides of 24 became sides that measure 30.

24 times x = 30

therefore x, the scale factor, is 1.25

question 4:

3 increases to 4 and 15 increases to 20 (you have to rotate these shape before anything else to see the corresponding changes)

15 times x = 20

20 divided by 15 is 1.33 repeating, so 4/3

If u ever had a side getting smaller in the second shape, the scale factor would be less than 1.

The correct answer on the equation representing Kona's mother's age is option a) K² - 4.

Let M represent the Kona's mother's age = M = K² - 4.

Now substitute the value by taking Kona's age be 10.

= 10² - 4

= 100 - 4

=96.

Since the difference is Kona's age squared with subtracting 4.

The problem states that Kona's mother's age is the difference between Kona's age squared and four, We are given that the K represents Kona's age. Therefore, the expression for Kona's mother's age can be written as  K² - 4. This is because we substitute the K for the Kona's age and square it, then subtract four to find the mother's age. Hence the correct is option A. The difference code refers to the answer or result formed after subtracting the given equation or expression.

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Complete question

Kona's mother realized that her age is the difference of Kona's age squared and four. If K represents Kona's age, which expression represents Kona's mother's age? a) K² - 4 b) K³ - 4 c) K² + 4 d) K³ + 4

Answer:

2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The rule for a 30:60:90 triangle is [tex]\sqrt{3}:x: 2[/tex]

That means that to get the bottom side, we can divide 4/2

That makes 2, so then we can find x by  multiplying 2 by [tex]\sqrt{3}[/tex]

That makes 2[tex]\sqrt{3}[/tex]

The line of the best fit of the scatter plot is added as an attachment

The missing graph is added as an attachment

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

The graph

A good line of best fit would have equal number of points on either sides

To plot the graph, we draw a line that divides the points on the graph evenly

This line when drawn on the scattered points divided the points approximately evenly

Hence, the line of the best fit is attached

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The value of t* would use for this interval is 1.699 to compute a 90% confidence interval.

It is given that the confidence = 90% or 0.9

also, the sample size (n) = 30

The degrees of freedom is the sample size decreased by 1:

df = n - 1

df   = 30 - 1

df = 29

The critical value t* can then be found in the row with df = 29 and in the column with c = 90% (or upper tail probability p = 0.05) using table B.

t* = 1.699

The image attached is t* table

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The value of 33.4 meters to centimeters is 3340 centimeters

Conversion of units is described as the  conversion between different units of measurement for the same quantity, and it is done mostly through multiplicative conversion factors.

It also involves multiple steps of multiplication or division by a numerical factor or, a conversion factor.

From the information given, we have to convert meters to centimeters

Note that;

100 centimeter = 1 meter

Then x centimeters = 33.4 meters

cross multiply

x = 100(33.4)

multiply the values

x = 3340 centimeters

Hence, the value is 3340 centimeters

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The unshaded area is 11.5 times bigger than the shaded area.

The area of the circle is given by:

A_circle = πr^2

where;

n this case, r = 10 cm, so:

A_circle = π(10 cm)^2 = 100π cm^2

The area of the semicircle is given by:

A_semicircle = (1/2)πr^2

where;

In this case, the diameter of the semicircle is 8 cm, so the radius is 4 cm:

A_semicircle = (1/2)π(4 cm)^2 = 8π cm^2

To find the area of the shaded region, we need to subtract the area of the semicircle from the area of the circle:

A_shaded = A_circle - A_semicircle

= 100π cm^2 - 8π cm^2

= 92π cm^2

The unshaded area is the area of the circle minus the area of the shaded region:

A_unshaded = A_circle - A_shaded

= 100π cm^2 - 92π cm^2

= 8π cm^2

So the unshaded area is 8π cm^2 and the shaded area is 92π cm^2.

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If radius of circle is tripled then area of circle will be increased by:9 times.

If the radius of a circle is tripled, then the new radius is three times the original radius, or R' = 3R, where R is the original radius and R' is the new radius. The area of a circle is given by the formula A = πR^2, where A is the area and R is the radius.

Substituting R' = 3R into the formula for the area of a circle, we get:

A' = πR'^2

= π(3R)^2

= 9πR^2

Therefore, the new area A' is 9 times the original area A. In other words, if the radius of a circle is tripled, the area of the circle will be increased by a factor of 9. This is because the area of a circle is proportional to the square of its radius.

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Answer: Just to get your attention (don't mind rating this)

Step-by-step explanation:

I'm sorry, but there's no table or information about the sample provided for me to estimate the mean speed of the sample. Can you please provide more information or clarify your question?

The measure of arc FE in the figure is 100 degrees

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

The circle and the intersecting chords

The value of arc FE represented by x is then calculated as

80 = 1/2(x + 60)

Cross multiply the equation

This gives

x + 60 = 160

Subtract 60 from both sides

x = 100

Hence, the measure of x is 100 degrees

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