In this problem you will need to factor a GCF out of the polynomial first. Factor the following polynomial completely. 2k2−8k−90

Answers

Answer 1
2 (k^2 - 4k - 45)
2 (k - 9) (k + 5)

Related Questions

When a 7-ohm resistor is connected in a parallel circuit with a resistance of
x ohms, the total resistance R (in ohms) is given by:
R = 7/7/2
7+1
Find the resistance x (in ohms) that results in a total resistance of 6 ohms.
You may complete the work on your student work document. Type the final answer in the space below.
You must show work to receive full credit.

Answers

on solving the provided question we can say that for parallel combination, the equation will be  1/R = 1/R1 + 1/R2.

What is equation?

A mathematical equation is a formula that links two assertions and signifies equivalence with the equals sign (=). In algebra, a mathematical statement that proves the equality of two mathematical expressions is referred to as an equation. The equal sign, for instance, separates the variables 3x + 5 and 14 in the equation 3x + 5 = 14. There is a mathematical formula that explains the link between the two phrases that appear on either side of a letter. Frequently, the symbol and the single variable are the same. like in 2x - 4 = 2, for example.

we have,

Total Resistance (R) = 1.403 kilo-ohm.

R1 = 2.0 Kilo-ohm.

1.403 kilo-ohm = 1403 ohm.

for parallel combination, the equation will be

1/R = 1/R1 + 1/R2

[tex]1/1403 = 1/2000 + 1/ R2\\.1/1043 - 1/2000 = R2\\2000 - 1403 / 1403 x 2000 = 1/R2\\597/ 1403 x 2000 = 1/R2\\R2 = 1403 x 2000 / 597 = 2806000 / 597 = 4700.16\\R2 = 4700.16 ohm[/tex]

103 ohm = 1 kilo-ohm =>  4700 ohm = 4.7 kilo-ohm

so, R2 = 4.7 kilo-ohm.

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Question 2 (2 points)

If (63, x, 105) form a Pythagorean Triple, what is the value of x?

Answers

If (63, x, 105) generate a Pythagorean Triple, the value of x is 84.

Before starting to solve this problem we must know that the Pythagorean theorem is a theorem that realizes the sides of a right triangle and has many applications for it.

A Pythagorean Triple is a set of three integers that satisfy the Pythagorean Theorem, [tex]a^2 + b^2 = c^2[/tex]. In this case, 63 and 105 are two sides of a right triangle, and x is the third side. We can plug in the values and solve for x:
63² + x² = 105²
3969 + x² = 11025
x² = 7056
x = √7056
x = 84

Therefore, the value of x is 84, and the Pythagorean Triple is (63, 84, 105).

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Find the missing angle measurement.
?
OA) 3 degrees
OB) 13 degrees
OC) 23 degrees
OD) 90 degrees
67°

Answers

Answer:

23 degrees

Step-by-step explanation:

Sum of interior angles in a triangle = 180°


Sum of interior angles in the right- angled triangle in the question:
    67° + 90° + ? = 180°

= ? = 180° - 90° - 67°

? = Missing angle measurement = 23°

                                                           = 23 degrees

composite figure is shown. Which of the following represents the total area of the figure?

Answers

The total area of the composite figure can be found to be 24. 52 cm ²

How to find the total area ?

First, find the area of the first triangle :

= 1 / 2 x base x height

= 1 / 2 x 3 x 2. 7

= 4. 05 cm ²

The area of the second triangle :

= 1 / 2 x 3 . 4 x ( 6. 8 - 2 . 7 )

= 6. 97 cm ²

Then the area of the rectangle :

= 5 x 2. 7

= 13. 5 cm ²

The total area of the composite shape is :

= 13.5 + 6.97 + 4. 05

= 24. 52 cm ²

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A chess player ran a simulation twice to estimate the proportion of wins to expect using a new game strategy. Each time, the simulation ran a trial of 1,000 games. The first simulation returned 212 wins, and the second simulation returned 235 wins. Construct and interpret 95% confidence intervals for the outcomes of each simulation.

Answers

We are are 95% confident that the true proportion of wins using the new strategy will be between 0.1812 and 0.242895 in first simulation and between 0.1948 and 0.2732 in second simulation.

A chess player ran a simulation twice to estimate the proportion of wins to expect using a new game strategy. Each time, the simulation ran a trial of 1,000 games. The first simulation returned 212 wins, and the second simulation returned 235 wins. Construct and interpret 95% confidence intervals for the outcomes of each simulation.

A 95% confidence interval gives us a range of values that we are 95% confident contains the true proportion of wins that the new game strategy will produce in the long run. To construct the confidence interval for each simulation, we can use the following formula:

CI = p ± 1.96 * sqrt(p * (1 - p) / n)

where p is the sample proportion of wins, n is the number of trials, and 1.96 is the z-score corresponding to a 95% confidence level.

For the first simulation, p = 212 / 1000 = 0.212 and n = 1000, so the confidence interval is:

CI = 0.212 ± 1.96 * sqrt(0.212 * (1 - 0.212) / 1000)

CI = (0.1812, 0.2428)

This means that we are 95% confident that the true proportion of wins using the new strategy will be between 0.1812 and 0.2428.

For the second simulation, p = 235 / 1000 = 0.235 and n = 1000, so the confidence interval is:

CI = 0.235 ± 1.96 * sqrt(0.235 * (1 - 0.235) / 1000)

CI = (0.1948, 0.2732)

This means that we are 95% confident that the true proportion of wins using the new strategy will be between 0.1948 and 0.2732.

In general, larger sample sizes lead to narrower confidence intervals. In this case, both confidence intervals overlap, indicating that the two simulations are consistent with each other. This gives us additional confidence in the estimated proportion of wins using the new strategy.

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Answer:

the confidence interval for the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.209 and 0.261.

Step-by-step explanation:

got it right on the test :)

Please help I can’t do this

Answers

The four consecutive numbers which adds to give 130, are 31, 32, 33, 34

What are consecutive numbers?

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Given that, there are four consecutive numbers which adds to give 130,

According to the definition of consecutive numbers, we add 1 to each previous integer to get the successive integer,

Therefore, let us consider x, x+1, x+2, x+3 be the four consecutive numbers,

Therefore,

x+x+1+x+2+x+3 = 130

4x + 6 = 130

4x = 124

x = 31

Therefore, the required consecutive integers are, 31, 32, 33, 34

Hence, the four consecutive numbers which adds to give 130, are 31, 32, 33, 34

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Click to show whether each function is linear or non-linear.

Answers

The required solution is given as,

f(x) = 22 + x   = Linear

f(x) = x²+1       = Non-linear

f(x) = x³ +2x+1 = Non-linear

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Linear functions are functions that can be represented by a straight line on a graph. These functions have a constant rate of change and can be written in form f(x) = mx + b, where m is the slope of the line and b is the y-intercept.

Non-linear functions are functions that do not have a constant rate of change and cannot be represented by a straight line on a graph.

Thus, the required solution is given as,

f(x) = 22 + x   = Linear

f(x) = x²+1       = Non-linear

f(x) = x³ +2x+1 = Non-linear

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Solve the L.P.P graphically- Maximize z=y-2x subject to x-y >=2 ,x + y<=4 , x>=0 ,y>=0

Answers

Answer: 8y=2h

Step-by-step explanation: you have to subtract the first 2 numbers then add the others and then add letters and boom

Bella works at a popular clothing store. Last winter, her manager asked her to track the
store's sweater sales. This box plot shows the results.
Price of sweaters sold ($)
30
40
50
60
What fraction of the sweaters cost $50 or less?
80

Answers

Answer:

Answer is 1/2. Box plot is split into quarters. So 1/4 + 1/4 = 1/2

a frequency distribution usually has equal bin widths. T/F

Answers

A frequency distribution usually has equal bin widths is the true statement.

All the line charts are not used for the purpose of cross-sectional data. A scatter plot is very useful in this process of visualizing trends over time. A scatter plot essentially requires two quantitative variables (i.e., not categorical data).

The difference of the maximum and minimum values is divided by the number of bins.

1. Identify the maximum and minimum values of the quantitative data.

2. Subtract the minimum value from the maximum value to get the difference

3. Divide the difference by the number of bins to get the approximate width of each bin

The width of the bins in a frequency distribution of quantitative data can be estimated by dividing the difference between the maximum and minimum values of the data by the desired number of bins. This will provide an approximate size for each bin, that can then be used to construct the frequency distribution.

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5. y=-2² + 12x - 15
a=-2
b=12
11
·2
NO NEED FOR HELP ON QUESTION 5 and 7

Answers

The axis of symmetry, vertex, domain, and range of each of the quadratic function are as follows;

Axis of symmetry = 3.

Vertex = (3, 3).

Domain = {-∞, ∞}.

Range = {-∞, 3}.

Axis of symmetry = 4.

Vertex = (4, -2).

Domain = {-∞, ∞}.

Range = {-2, ∞}.

How to calculate the axis of symmetry of a quadratic function?

Mathematically, the axis of symmetry (vertex) of a quadratic function can be calculated by using this mathematical expression:

Axis of symmetry (vertex), Xmax = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

Note: The domain of a quadratic function (parabola) is always all real numbers on the x-axis of a cartesian coordinate.

For the given quadratic function y = -2x² + 12x - 15, we have:

Axis of symmetry (vertex), Xmax = -b/2a

Axis of symmetry (vertex), Xmax = -12/2(-2)

Axis of symmetry (vertex), Xmax = -12/-4 = 3.

Vertex (h, k) = (3, 3).

Domain = {-∞, ∞} or x ∈ R.

Range = {-∞, 3}.

x      y

1      2

1      4

3     3

For the given quadratic function y = 2x² - 16x + 30, we have:

Axis of symmetry (vertex), Xmax = -b/2a

Axis of symmetry (vertex), Xmax = -(-16)/2(2)

Axis of symmetry (vertex), Xmax = 16/4 = 4.

Vertex (h, k) = (4, -2).

Domain = {-∞, ∞} or x ∈ R.

Range = {-2, ∞}.

x      y

3     0

5     0

4     -2

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PLEASE ANSWER
!!!!!!!!

Answers

The measure of angle X is given as follows:

40º.

How to obtain the value of x?

We have two secants in this problem, and point C is the intersection of the two secants, hence the angle measure of x is half the difference between the angle measure of the largest arc by the angle measure of the smallest arc.

The arc angles are given as follows:

125º and 45º.

Hence the value of x is given as follows:

X = 0.5 x (125 - 45)

x = 40º.

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Hello can someone please help HHHHHHHEEEEELLLLLPPPPP

Answers

The value of m∠J in the triangle is 65°

How to find the value of m∠J in the triangle?

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

We have triangle HIJ and m∠H = (4x + 1)°, m∠I = (2x-6)° and m∠J = (6x-7)°.

Since the sum of angle in a triangle is 180°. We can say:

m∠H +  m∠I +  m∠J = 180°

(4x + 1)° + (2x-6)° + (6x-7)° = 180°

4x + 1 + 2x-6 + 6x-7 = 180

12x - 12 = 180

12x = 180 + 12

12x = 192

x = 192/12

x = 16

To find m∠J = (6x-7)°, put x = 12 into  m∠J = (6x-7)°. That:

m∠J = 6(12) - 7

m∠J = 72 - 7

m∠J = 65°

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Which angle is formed by a secant and tangent line?ANGA) GSEB) EGSC) NGL

Answers

In the image line segment SE is the tangent. The secant line making an angle with tangent line SE is NS. So the angle is ∠GSE. So option B is the correct answer.

Tangent is a line which intersect with only a single point on the curve. The point where the line meets is the point of tangency. Tangent line is always perpendicular to the radius drawn to the point of tangency. Here the tangent line is SE, point of tangency is S.

Secant lines are the lines which passes through two points of a curve. A chord drawn to the circle is a secant line. Here there are two secant lines NS and NA. Here only NS makes an angle with the tangent line.

So the angle made by a tangent and secant line is ∠GSE.

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The image for the question is attached below.

A
65°
Reflex Angle B =
degrees.

Answers

The measure of angle B is given as follows:

<B = 295º.

How to obtain the measure of angle B?

Angles A and B in the context of this problem are reflex angles, meaning that the sum of their measures is of 360º.

The measures are given as follows:

<A = 65º.<B is unknown.

Hence the measure of angle B is obtained as follows:

65 + <B = 360

<B = 360 - 65

<B = 295º.

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After the reflection of about X-axis,if the image of a point P is P’(-x,-y), in which quadrant does P lie and what is its coordinates?

Answers

The original coordinates are P(-x, y), and it is on the second quadrant.

In which quadrant does P lie and what is its coordinates?

Remember that for a general point (a, b), a reflection about the x-axis changes the sign of the y-component, so we will get the image (a, -b)

Here we know that the image after the refection is P' = (-x, -y), then the coordinates of point P are (-x, y)

If we assume both x and y to be positive, then point P would be on the second quadrant.

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my math question is "Jon buys 3 shirts for $20. write this as a rate" and the same thing for "Brenda records 76 songs on 4 albums, write this as a rate"

Answers

Answer: For Jon, buying 3 shirts for $20 can be written as a rate as follows:

The number of shirts Jon buys per dollar spent = 3 shirts / $20 = 3/20 shirts/dollar

For Brenda, recording 76 songs on 4 albums can be written as a rate as follows:

The number of songs Brenda records per album = 76 songs / 4 albums = 19 songs/album

So, the rate of songs Brenda records per album can be written as 19 songs/album.

Step-by-step explanation:

Complete the table for this triangle

Answers

Answer:

[tex]\sin A=\frac{a}{b}[/tex]

[tex]\cos A=\frac{c}{b}[/tex]

[tex]\tan A=\frac{a}{c}[/tex]

[tex]\csc A=\frac{b}{a}[/tex]

[tex]\sec A=\frac{b}{c}[/tex]

[tex]\cot A=\frac{c}{a}[/tex]

Step-by-step explanation:

Here are the definitions of the trig functions listed in the picture

[tex]\sin x=\frac{O}{H}[/tex]

[tex]\cos x=\frac{A}{H}[/tex]

[tex]\tan x=\frac{O}{A}[/tex]

[tex]\csc x=\frac{H}{O}[/tex]

[tex]\sec x=\frac{H}{A}[/tex]

[tex]\cot x=\frac{A}{O}[/tex]

Note:

[tex]A[/tex] = side adjacent to angle

[tex]O[/tex] = side opposite to angle

[tex]H[/tex] = hypotenuse

All 6 questions are about angle A.

The side adjacent to angle A is side c.

The side opposite to angle A is side a.

The hypotenuse is side b.

Therefore we can write

[tex]A=c\\O=a\\H=b[/tex]

Knowing that we can fill out the table.

[tex]\sin A=\frac{a}{b}[/tex]

[tex]\cos A=\frac{c}{b}[/tex]

[tex]\tan A=\frac{a}{c}[/tex]

[tex]\csc A=\frac{b}{a}[/tex]

[tex]\sec A=\frac{b}{c}[/tex]

[tex]\cot A=\frac{c}{a}[/tex]

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Answers

The length of line FG is 16 units

How to find length of FG

The length of FG is equal to length GH that is to say

line FG = line GH

From the problem, we have that

FG = x  + 11

GH = 3x + 1

Equation both lines

x + 11 = 3x + 1

collecting like terms

11 - 1 = 3x - 1

10 = 2x

rearranging and isolating x

2x = 10

x = 5

The line FG = x + 11 = 5 + 11 = 16 units

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Find the sum of interior angles for the polygon below:

Answers

Answer:

The polygon has 8 sides, so the sum of its interior angles is 1080 degrees. Each interior angle is equal to 135 degrees

the interior angle of a regular polygon is equal to the total number of its sides minus two, multiplied by 180 degrees divided by the number of sides. For example, in a regular polygon with 8 sides, one interior angle would equal 1080 degrees (8 - 2) x 180/8 = 1080.

There were 65 tickets sold for the school play the total cost of the tickets was $390 how much did each ticket cost

Answers

Answer: $6

Step-by-step explanation:

Divide $390 by 65 to find $6 per ticket.

Answer:

$6

Step-by-step explanation:

$390/65=6

select all of the options below that represent a continuous relationship

A. answers the number of problems in each of your homework assignments

B. The speed of an airplane during the flight from Los Angeles to New York

C. The temperature of an apple pie during the time it spends in the oven.

D. The number of pumpkins your family carves every year for Halloween.

E. is the first graph

F. is the second graph

Answers

The temperature of an apple pie during the time it spends in the oven shows the continuous relationship.

What is continuous function?

In mathematics, a continuous function is a function that does not have discontinuities that means any unexpected changes in value. A function is continuous if we can ensure arbitrarily small changes by restricting enough minor changes in its input.

A function f(x) is said to be a continuous function in calculus at a point x = a if the curve of the function does NOT break at the point x = a.

A continuous function, on the other hand, is a function that can take on any number within a certain interval. For example, if at one point, a continuous function is 1 and 2 at another point, then this continuous function will definitely be 1.5 at yet another point.

Therefore, option C and E are the correct answers.

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Keith needs to buy some pencils. Brand A has a pack of 24 pencils for $8.77. Brand B has a pack of 26 pencils for $9.84.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Unit price for the Brand A pencils:
Unit price for the Brand B pencils:
The better buy:
O Brand A
O Brand B
for each pencil
$for each pencil
Neither (They have the same unit price)

Answers

The brand that is the better buy based on their unit price is; Brand A

How to find the Unit Price?

A unit price is defined as the price for one item or measurement, such as a pound, a kilogram, or a pint, which can be used to compare the same type of goods sold in varying weights and amounts.

It is also referred to as a product's average price which is the result of dividing the product's total sales revenue by the total units sold.

Thus;

Unit price of Brand A = 8.77/24 =$0.365 per pencil

Unit price of Brand B = 9.84/26 = $0.378 per pencil

The cheaper one is the better buy which is Brand A.

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b. Write an equation relating the the number of individual songs s and the number
of albums a Jada can download. ax+by=c

Answers

Jada can get 4 albums or she can get 80 individual songs for $20. The equation will be written as 0.25s + 5a = 20.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that It costs $0.25 to download an individual song and $5 to download an album. Jada has $20 to spend downloading music.

The equation will be written as,

0.25s + 5a = $20

The number of individual songs will be,

0.25s = 20

s = 20 / 0.25

s = 80

The number of albums,

5a = 20

a = 20 / 5

a = 4

The complete question is given below.

It costs $0.25 to download an individual song and $5 to download an album. Jada has $20 to spend downloading music.

a. Make a table showing three ways Jada can spend $20 downloading individual songs and albums. (s the being number of individual songs and a being the number of albums.)

b. Write an equation relating the number of individual songs (s) and the number of albums(a) in standard form.

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Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?


1 mile = 5,280 feet


45 miles per hour

46 miles per hour

47 miles per hour

48 miles per hour

Answers

Answer:

Step-by-step explanation:

The best estimate of the speed Morris is traveling will be 48 miles per hour.

What is conversion?

Conversion means to convert the same thing into different units.

Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha.

We know that 1 mile = 5,280 feet.

Then convert the feet per second to miles per hour. Then the speed of the Morries will be

⇒ 3 feet / 1 second

⇒ (3 / 5285) miles / (1 / 3600) hour

⇒ (3 / 5285) x (3600)

⇒ 2 miles per hour

Then the best estimate of the speed Morris is traveling will be

⇒ 50 - 2

⇒ 48 miles per hour

The best estimate of the speed Morris is traveling will be 48 miles per hour.

48 miles per hour

3 feet / second

There are 5285 feet in a mile

60(seconds in a minute) x 60(minutes in an hour) which 60x60=3600 seconds per hour

3600x3 to find out how many feet per hour
3x3600=10,800 feet slower per hour

10,800 % 5,280 (feet in mile) = 2 mph slower

50mph - 2mph = 48mph

What is the doubling time formula?

Answers

The doubling time formula is used to calculate the time required for a quantity to double in size at a constant growth rate. The formula is: doubling time = ln(2) / r

Where ln(2) is the natural logarithm of 2, and r is the annual growth rate expressed as a decimal. The doubling time represents the number of time units it takes for the quantity to double, such as years, months, or days, depending on the time unit used for the growth rate. This formula is commonly used in many fields, such as finance, biology, and demography, to estimate the future growth of a quantity based on its current growth rate.

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Create a large coordinate graph on graph paper
and graph the triangle at right. Multiply the
y-coordinate of each point by 4. Then graph the
new shape. Make sure you connect your points.
List the points for the new shape. Are the two
figures similar? Why or why not?

Answers

The two figures (i.e. triangles) are similar triangles

How to determine if the triangles are triangles

Let's create a triangle with the following coordinates:

A = (0, 0)

B = (3, 0)

C = (0, 4)

To get the new coordinates, we need to multiply the y-coordinate of each point by 4:

A' = (0, 0 * 4)

B' = (3, 0 * 4)

C' = (0, 4 * 4)

So the new points are:

A' = (0, 0)

B' = (3, 0)

C' = (0, 16)

To determine if the two figures are similar, we need to check if they have the same shape but different sizes.

Specifically, the new triangle is four times larger in the vertical direction but has the same shape and angles as the original triangle.

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Carol buys a house for £2349000
she pays a 10% deposit

work out the amount of deposit paid by carol

Answers

Carol pays a 10% deposit, it means the amount of deposit she pays is £234,900.

To work out the amount of deposit paid by Carol, we need to find 10% of the house price. We can do this by multiplying the house price by 10/100 or 0.10.

Here are the steps to find the amount of deposit paid by Carol:

1. Start with the house price: £2349000
2. Multiply by 0.10 to find 10% of the house price: £2,349,000 x 0.10 = £234,900
3. The amount of deposit paid by Carol is £234,900.

So, the answer is £234,900.

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Mark collects Pokémon cards. He recently bought 24 cards to add to his collection. He decided to give of all of his cards to his little brother. If he gave a total of 15 cards to his brother, which equation best represents the situation?
A- 1/6c + 15 = 24
B- 1/6 + 24c=15
C- 1/6 (c + 24) = 15
D- 1/6c + 24=15

Answers

The required equation model for the given situation is 1/6 (c + 24) = 15. Option C is correct.

How to use the concept of the equation model?

The concept of the equation model is a fundamental part of mathematics, and it is used in a wide range of applications. Here are some ways in which the equation model is used,
1. Solving equations    2. Modeling real-world situations 3.Understanding relationships between variables.

here,
According to the question let the Pokémon cards Mark intially had be c,
So as per the given condition, Mark has c + 24 card and he gives 1/6 of his card to his little brother, which is 15 cards
The equation model of the situation is given as,
1/6(c + 24) = 15

Thus, the required equation model for the given situation is 1/6 (c + 24) = 15. Option C is correct.

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Solve for x
Plea help me

Answers

Answer:

x ≈ 73.4°

Step-by-step explanation:

using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{23}{24}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{23}{24}[/tex] ) ≈ 73.4° ( to the nearest tenth )

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