Kana tried to solve the system of equations below. She says there are no solutions. Is Kana correct? Explain your reasoning.

Kana Tried To Solve The System Of Equations Below. She Says There Are No Solutions. Is Kana Correct?

Answers

Answer 1

The solution for the given system of equations:

x = 6 and y = 6.

Kana is incorrect about the solutions of the given equations.

What are algebraic properties?

Algebraic expressions and equations follow the same set of rules as numerical expressions and equations. The order of operations is preserved, and the laws governing addition and multiplication still apply.

Associative: a + ( b + c ) = ( a + b ) + c , a ( b c ) = ( a b ) c

Identity: a + 0 = a , a ⋅ 1 = a

Inverse: a + ( − a ) = 0 , a ⋅ 1 a = 1

Distributive: a ( b + c ) = a b + a c

Given equations,

4x-2y=12        -----(a)

2x+2y=24            -----(b)

Multiplying -2 to the equation (b) like kana solution

-2 (2x+2y=24 )

By Distributive property

-2(2x+2y) = -2(24)

- 4x - 4y = - 48     ---------(c)

Now adding equation (a) and equation(c)

    4x - 2y = 12

  - 4x - 4y = - 48

__+___+____+__

         - 6y  =  -36

⇒ y = 36/6 = 6.

Putting value of y in equation (b).

2(x) + 2(6) = 24

2x + 12 = 24

2x = 24 - 12

2x = 12

x =12/2 = 6

By the above calculation,

Value of x = 6 and

value of y = 6.

Hence, for the system of equations given

the solutions are:

x = 6 and y = 6

which proves that Kana is incorrect that there are no solutions.

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Related Questions

8. If you got 27 questions correct on
a test that has 32 questions, what
percent of the questions did you
correct on the test?

Answers

84.37 percent of the questions correct.

Set X is the set of all multiples of 6 between 15 and 70.
Which set is equivalent to set X?
A. {6, 12, 18, 24,...}
B. {6, 12, 18, ...,66}
C. {18, 24, 30, 36,...}
D. {18, 24, 30, ..., 66}
E. {18, 24, 30, ..., 70}

Answers

Answer:

D

Step-by-step explanation:

we have 2 conditions

1. to be a multiple of 6

2. to be between 15 and 70

A and B are not correct because have numbers les than 15

C is not correct because the numbers keep on going passed 70

E is not correct because 70 is not a multiple of 6

D is correct because has both conditions meet

A person is using a new teenis ball launching machine that is 15 inches by 14. Assuming the machine uses tennis balls that are spherical and 2.7 inches in diameter, how many tennis balls should fit in one of the top of the machine?

Answers

The number of tennis ball  fit in the machine are 305 balls.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

given dimensions of  machine 15 x 15 x 14

volume of machine is 15 x 15 x 14 = 3150 cubic inches

and shape of ball is spherical,

with dia = 2.7 inches

radius of ball = 2.7/2 = 1.35 inches

volume of sphere is 4/3πr³

V = 4/3πr³

V = 4/3(3.14)(1.35)³

V = 4/3(3.14)(2.46)

V = 10.30 cubic inches

the area covered by 1 ball is 10.30 cubic inches

the number of ball in machine is 3150/10.30

the number of ball in machine  = 305.82 = 305 approx

Hence  305 balls can be fit in machine.

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please help I don't get it NO LINKS or I'll report pls don't answer the question if u don't know​

Answers

Answer:

1 person got 68 inches

4 persons got 69 inches

2 persons got 70 inches

3 persons got 74 inches

1 person got 76 inches

A parent function is a linear function of the form y=b true of false

Answers

Answer:

False

Step-by-step explanation:

The parent function is the simplest function within a family of functions that defines the general form of that family.

Parent Functions

Parent functions are given in terms of y and x, where y is the output and x is the input. In linear functions, b represents a constant, specifically the y-intercept. Since the form y=b does not have an input it cannot be the parent function of linear lines. The graph of y=b would be a horizontal line with no slope. This does not define the general form of most linear functions. Additionally, since the slope has been changed to zero, it is not considered the simplest form of linear functions.

Linear Parent Function

The true parent function of linear functions is y=x. This function is the simplest linear function and has no transformations. Additionally, when graphed it is a diagonal line that defines the general shape of lines.

To create new linear functions the parent function, y=x, can be transformed by changing the coefficient of x to change the slope or by adding a constant to shift the graph vertically.

HELPPP PLEASE ASAPPP 20 POINTS!

Answers

It is 1/3

Have a good day :D

Which of the following points are solutions to the equation 3x - 4y - 8 = 12?
Select all that apply.
(0-5)
(4-2)
(8.2)
(-16-17)
(-1.-8)
(-40,-34)

Answers

I got 0-5
Sorry if I’m wrong I try

Find a polynomial that represents the perimeter of the rectangle.

Answers

Hi there!

[tex]\large\boxed{P = 4x^2 + 12x + 22}[/tex]

The perimeter of a rectangle is:

P = 2l + 2w

Thus, plug in the given length and width:

P = 2(2x² + 5x + 8) + 2(x + 3)

Distribute:

P = 2(2x²) + 2(5x) + 2(8) + 2(x) + 2(3)

Simplify:

P = 4x² + 10x + 16 + 2x + 6

Combine like terms:

P = 4x² + 12x + 22

Answer:

[tex]4x^2+12x+22[/tex]

Step-by-step explanation:

The perimeter of a rectangle is equal to [tex]2l+2w[/tex] where l is the length and w is the width. So, this rectangle would be equal to [tex]2\left(x+3\right)+2\left(2x^2+5x+8\right)[/tex]. Then, to find the polynomial simplify the expression. To do this first distribute the two 2s. This equals [tex]2x+6+4x^2+10x+16[/tex]. Then, add like terms to finish simplifying. This gives you the final answer of [tex]4x^2+12x+22[/tex].

The four approved methods of document destruction are

Answers

Answer:

1area

2 water

3 food

4 house

Answer:

shredding, incineration, pulping, and pulverization.

Step-by-step explanation:

Shredding: This involves cutting paper into small pieces using a shredding machine. The shreds are usually too small to be reconstructed, making it an effective method for destroying sensitive documents.

Incineration: This involves burning paper to ash using high heat. Incineration is a fast and efficient way to destroy large volumes of documents, but it is not always practical or environmentally friendly.

Pulping: This involves breaking down paper using water and chemicals to create a slurry that can be recycled or disposed of. This method is effective for destroying large volumes of paper, but it is not suitable for destroying documents with sensitive information.

Pulverization: This involves grinding paper into a fine powder using a pulverization machine. The powder is then disposed of or recycled. This method is effective for destroying documents with sensitive information, but it is not practical for destroying large volumes of paper.

I need help with this answer all of them correctly please.

Answers

Answer:

1 / 9

Step-by-step explanation:

Total number of letters = 9 ; This is the total possible outcomes

Number of letter D = 1 ; this is the required outcome

Recall:

Probability = required outcome / Total possible outcomes

P( choosing D) = 1 / 9

please help middle school math​

Answers

Answer:

Step-by-step explanation:

1)√320=8√5

(√125+√45)=8√5

(√500-√20)=8√5

ABC is an equilateral triangle.

2) area=1/2 lengh * h

1/2 * 4√15 * 8√5

=2√15 * 8√5

=80√3

Solve Using substitution 3x+5y=-28 Y=x+4

Answers

Answer:

(-6, -2) x=-6, y=-2

Step-by-step explanation:

3x + 5(x+4) = -28

3x + 5x+20=-28

8x+20=-28

8x=-48

x=-6

Y=-6+4

y=-2

On one day at a local minigolf course, there were 320 customers who paid a total of $2,900. If the cost for a child is $7 per game and the cost for an adult is $10 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.

7x + 10y = 2900
x + y = 320

7x + 10y = 320
x + y = 2900

10x + 7y = 2900
x + y = 320

10x + 7y = 320
x + y = 2900

Brainiest for correct answer

Answers

A system of equations to model this scenario is given as follows -

x + y = 320

7x + 10y = 2900

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.The general equation of a straight line is → y = mx + c

        {m} - slope                 {c} - intercept along the y - axis.

Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.

Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -

x + y = 320

7x + 10y = 2900

Therefore, a system of equations to model this scenario is

x + y = 320

7x + 10y = 2900

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This is the graph of a quadratic function i need help

Answers

Answer:

vertex: (-1,-2)

roots: (-3,0);(1,0)

axis of symmetry is: x=-1

Who is your favorite red dead character I need to see if u are smart

Answers

Answer: Dutch

Step-by-step explanation: He just needs the money

Answer:

Uncle

Step-by-step explanation:

please help guys ASAP

Answers

Answer:

180

Step-by-step explanation:

You do 24 x 4 + 64 which is = to 176 then rounded is 180

Hey guys! I need some help

Answers

Answer:

D

Step-by-step explanation:

8x+12y-2y+3x=11x+10y

Answer:

answer D

Step-by-step explanation:

8x+12y-2y+3x

11x+ 10y

If 3n+5=23 what is the value of 2n-3

Answers

Answer:

3n + 5 = 23,

3n = 18

n = 6

since "n" = 6,

2n - 3

= 2×6 - 3

12 - 3

= 9


16. The side length of a square ABCD is 18 inches. What is the side length of the square formed by joining the
midpoints of the sides of ABCD, to
the nearest tenth?

Answers

Therefore , the solution of the given problem of square comes out to be the ABCD  square is 18 inches

what is the side of length of square ABCD?

The side length of a square ABCD is 18 inches Each side of square ABCD is 18 inches The midpoints of ABCD are joined to form a square MNOP The figure is attached below

Here,

We need to find the side length of square MNOP

AMN form a Right angle triangle

We know AM =9  and AN= 9

To find MN , use Pythagoreans theorem

MN2=AM2+AN2

MN2=9square+9 square

MN2=162

Take square root on both sides

MN=9 root 2

so the side of the square MNOP is  9 square root 2 inches

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A family of 3 goes to a fair. Tickets cost $5 each, but
each person has a coupon. They pay $7 altogether.
How much money does each person save on buying
their ticket?

5x - 7 = 3

7 = 3(5 + x)

3x + 5 = -7

x + 7 = 3 x 5

Answers

Answer: $105

Step-by-step explanation:

Answer:

$2.66

Step-by-step explanation:

Step 1: Multiply the $5 to the family of 3

[tex]5 \times 3 = 15[/tex]

That's what they would have paid if they did not have a coupon. Now they have a coupon and only pay $7.

Step 2: Subtract what they paid from the result

[tex]15 - 7 = 8[/tex]

Now we have found how much they save altogether. To find how much they saved each;

Step 3: Divide the result found in step 2 by the family of 3

[tex]8 \div 3 = 2.66666\dots[/tex]

Each person saves approximately $2.66

The U.S. produces 9.08 million barrels of crude oil per day. It consumes 19.7 million barrels per day. How many barrels of oil have to be imported each day from other oil-producing countries?

help me pls if you cant and dont help me then. no links or report. pls help me giving brainless. ​

Answers

Answer:

pls give brainless

Step-by-step explanation:

How many barrels of oil does the US use per year?

The U.S. uses about 6.6 billion barrels per year. That is only enough oil to last the U.S. about three and a half years without importing oil from other countries. 84% of the reserves are concentrated in four states.

Write 162 as a product of primes.
Use index notation when giving your answer.

Answers

162= 2*3*3*3*3
=2*3^4

(5x+3y) - (2x-7y) +8x

Answers

Answer:

11x + 10y

Step-by-step explanation:

find the first term in geometric sequence if the 11th term is -160 and the ratio is -1/3​

Answers

Answer:

  -9447840

Step-by-step explanation:

You want the first term of a geometric sequence whose 11th term is -160 and whose common ratio is -1/3.

N-th term

The n-th term of a geometric sequence is ...

  an = a1·r^(n-1)

where a1 is the first term and r is the common ratio.

Using the given values, we have ...

  -160 = a1·(-1/3)^(11 -1)

  a1 = (-160)·(-3)^10 = -9447840

The first term is -9447840.

Jenny calculated the probabilities of pulling chops of different colors out of a bag.
Which color chip is MOST LIKELY to be pulled from the bag?

DON’T ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)

Answers

Answer:

I'm really sorry if i am wrong but i think Gold chip is most likely to be pulled from the bag.

Step-by-step explanation:

Let's convert each fraction given to the decimal form:

(Purple) [tex]\frac{1}{5}[/tex] = 0.2

(Gold) [tex]\frac{6}{10}[/tex] = 0.6

(White) [tex]\frac{1}{10}[/tex] = 0.1

(Red) [tex]\frac{2}{20}[/tex] = 0.2

=> since Gold chips' value is the most, the answer would be Gold Chip.

Hope this helps!

Cassandra baked a cake measuring 13 in. x 9 in. x 2 in. She wants to add frosting to the cake. The only side that will not be frosted is the bottom of the cake.
What is the surface area that will be frosted with icing?

O A 24 in. ^2

O B 117 in. ^2

O C 205 in. ^2

O D 322 in. ^2

DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)

Answers

Answer:

C

Step-by-step explanation:

The cake has a shape of a rectangle prism

first of all we can find the base area, that represents the top of the cake

base area = base x width = 13 x 9 = 117 in^2

Now we have to find the lateral area

base perimeter = (base + width) x 2 = (13 + 9) x 2= 44 in

LA = base perimeter x height = 44 x 2 = 88 in^2

total icing surface:

base area + LA = 117 + 88 = 205 in^2

Pls help. Cindi wants to cover the top and sides of this box with glass tiles that
are 1 cm square. How many tiles will she need?

Answers

Answer:

300 square centimeters

Surface area of box:

= 2(lb + bh +hl)

= 2(20×15 + 15×9 + 9×20)

= 2(300 + 95 + 180)

= 2 × 575

= 1,150 cm³

Area of tiles:

= 1 × 4 = 4 cm

No of tiles:

= 1,150/4

= 287.5 = 288

Total 288 tiles will be needed

Is the set of rational expressions closed under division

Answers

Answer:

Step-by-step

Closure property is true for division except for zero.

Exercises gives the positions s = f(t) of a body moving on a coordinate line, with s in meters and t in seconds.
a. Find the body’s displacement and average velocity for the given time interval.
b. Find the body’s speed and acceleration at the endpoints of the interval.
c. When, if ever, during the interval does the body change direction?
s = t^2 - 3t + 2, 0 <= t <= 2

Answers

Hi there!

a. Find the displacement by plugging in the values of the interval:

f(2) - f(0) = 0 - 2 = -2 meters.

Average velocity is the slope, thus:

[tex]v_{avg} = \frac{f(2) - f(0)}{2 - 0} = \frac{0 - 2}{2 - 0} = -1[/tex]

The average velocity for the interval is -1 m/s.

b. To find the speed at the endpoints, we must take the derivative to get the velocity equation:

f(t) = t² - 3t +2

f'(t) = 2t - 3, at t = 0, speed = |-3| = 3 m/s. At t = 2, speed = 2(2) - 3 = 1 m/s.

Acceleration is the second derivative, thus:

f''(t) = 2. The acceleration is 2 m/s² for both endpoints.

c. When the body changes direction, the first derivative changes signs. Thus:

0 = 2t - 3

3 = 2t, t = 1.5 sec. This is where the body changes direction.

If a pair of shoes was discounted from an original price of P5000 to P2800 what is the percent decrease or discount

Answers

Answer:  44% decrease

Work Shown:

a = old price = 5000

b = new price = 2800

c = change in price

c = b-a

c = 2800-5000

c = -2200

The value of c is negative to indicate a price decrease.

d = percent change

d = (c/a)*100%

d = (-2200/5000)*100%

d = -44%

There is a 44% decrease or discount.

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