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

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

x + y = 320

7x + 10y = 2900

        {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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Answer:

3n + 5 = 23,

3n = 18

n = 6

since "n" = 6,

2n - 3

= 2×6 - 3

12 - 3

= 9

Answer:

Step-by-step

Closure property is true for division except for zero.

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.

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

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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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

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].

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

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.

False

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.

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

Answer: Dutch

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

Answer:

Uncle

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

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

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!

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

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

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.

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.

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

Answer:

11x + 10y

Step-by-step explanation:

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

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

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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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

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

Answer:

vertex: (-1,-2)

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

axis of symmetry is: x=-1

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.

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.