Taylor and her children went into a movie theater and she bought $81 worth of bags of popcorn and candies. Each bag of popcorn costs $9 and each candy costs $4.50. She bought 6 more candies than bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of candies, y,y, that Taylor bought.

Kindly check below.

1) Examining the expressions inside the tiles, we can tell that:

2) Based on this we can tell the following relationship of equivalence:

Answer:

8 divided by 2

Step-by-step explanation:

The possible values of k such that the quadratic equation has real distinct roots are 1 / 2 and 2.

In this problem we find the case of a quadratic equation, of which the values of a variable k must be found such that the polynomial have real distinct roots. This can be done by using the discriminant of the quadratic formula, which is defined below:

For a · x² + b · x + c = 0, the discriminant is:

b² - 4 · a · c > 0

Then, if we know that a = k - 1, b = 2 and c = 2 · k - 3, then the possible values of k are:

2² - 4 · (k - 1) · (2 · k - 3) > 0

4 - (4 · k - 4) · (2 · k - 3) > 0

4 - (8 · k² - 8 · k - 12 · k + 12) > 0

8 · k² - 20 · k + 8 > 0

Whose form form is shown below:

8 · (k² - (20 / 8) · k + 1) = 0

8 · (k² - (5 / 2) · k + 1) = 0

8 · (k - 2) · (k - 1 / 2) = 0

The possible values of k are 1 / 2 and 2.

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A woman purchased 12 little frames and 10 large frames.

We create an algebraic equation in this question.

An algebraic equation is a mathematical statement that makes two expressions equal to one another.

In most circumstances, an algebraic equation consists of a variable, coefficients, and constants.

According to question, the equation will be

Let x = large frame

     y = small frame

x + y = 22                                     ---(1)

10x + 5y = 160                             ---(2)

Now, solve the eq(1) and eq(2),

we get, x = 10

     and, y = 12

If you want to cross-check you can do like that,

large frame price = $10

and, x = 10 (means 10 large frames women bought)

so the price will be = $ 10 * 10

                                = $100

Now, for the small frame price = $5

and, y = 12 (means 10 large frames women bought)

so the price will be = 12 * $5

                              = $60

Now total price is given = $160

and if we add both the prices of large and small frames = $100 + $60

we get, same as total price =  $160                                                                                              

Therefore, we can say that woman bought 10 large frames and 12 small frames.

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Answer:

2700 kg

Step-by-step explanation:

54 × 50 kg = 2700 kg

Answer:

30 feet

Step-by-step explanation:

i used a ruler, mm side. 1 mm = 1 foot

draw a horizontal line.

draw a vertical line 28mm high

use a protractor to find a line that connects to the base and top of vertical line.

measure said line

Answer:

Step-by-step explanation:

\text{sin }\color{purple}{71}=\frac{\color{green}{\text{opposite}}}{\color{#EB0000}{\text{hypotenuse}}}=\frac{\color{green}{28}}{\color{#EB0000}{x}}

sin 71=

hypotenuse

opposite

​

=

x

28

​

\text{sin }71=

sin 71=

\,\,\frac{28}{x}

x

28

​

\frac{\text{sin }71}{1}=

1

sin 71

​

=

\,\,\frac{28}{x}

x

28

​

x\text{ sin }71=

x sin 71=

\,\,28

28

Cross multiply.

\frac{x\text{ sin }71}{\text{ sin }71}=

sin 71

x sin 71

​

=

\,\,\frac{28}{\text{ sin }71}

sin 71

28

​

Divide both sides by sin 71

x=\frac{28}{\text{ sin }71}=29.613379...\approx29.61

x=

sin 71

28

​

=29.613379...≈29.61

slope is 3;

rise/run = y/x

6/2 = 3/1

Answer:

y=3x+3

Step-by-step explanation:

Use rise/run

Answer:

y=-9x+5

Step-by-step explanation:

y = -6x -25 is equation of slope intercept .

What exactly does slope intercept mean?

 The equation is  y = -6x + 8

     compare with equation y=mx+b

  slope m = -6

Use the point-slope method

y = -6x + 8    

point P(-1,-4)  point given (x1,y1)

y-y1=m(x-x1)  point-slope form

y - ( -1 ) = -6 ( x - (-4))

y + 1 = -6 ( x + 4 )

y + 1 = -6x - 24

y = -6x -25

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Answer: It jupes by 2 each year the rate is 2 to 1 year

Step-by-step explanation:

In zero years it alretey 1m so we can go to 1 where its 3 it juped by two more

The values of x = 14 and y = 12

In the diagram given, there are two parallel lines and three angles formed by cutting the parallel lines.

So here, angles (2x+7)° and (3x-7)° are corresponding angles.

That is they occupy relatively same position, that is both are above each parallel line.

So they are equal angles.

i.e., 2x+7 = 3x-7

⇒ 3x-2x = 7 +7

⇒ x = 14

Now the angles 2x+7° and 12y+1° are supplementary angles.

Supplementary angles are formed on a straight line between a line cutting the straight line.

That is their sum = 180°

i.e., 2x+7° + 12y+1° = 180

⇒ 2 x 14 + 7 + 12y +1 = 180

⇒ 28 + 8 +12y = 180

⇒ 36 +12y = 180

⇒ 12y = 180 -36

⇒ 12y = 144

⇒ y = 12

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The translation from AB to A’B’ is (x, y) → (x + 9, y + 2).

Given:

The coordinates of A(preimage) are (-5,1).

The coordinates of A'(image) are (4,3).

From the coordinates of the translated image, A'B' we can determine the transformations.

The translation applied to the point (-5,1) are (x, y) → (x + 9, y + 2).

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The students will earn $82.5 if they sell all the bottles of liquid soap.

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given that,

Total amount of liquid soap prepared by the students for a craft fair =

97.5 ounces

Weight of each bottle in which students poured the soap = 6.5 ounces

Let us first calculate the number of bottles, each contains 6.5 ounces of soap from 97.5 ounces of soap.

So, Number of bottles = [tex]\frac{97.5}{6.5}[/tex] = 15

It means, 15 bottles are prepared which contains 6.5 ounces of soap from 97.5 ounces of soap.

The amount at which each bottle is sold = $5.50

The total amount earned by selling all the bottles of liquid soap = 15×$5.50 = $82.5

Hence, The students will earn $82.5 if they sell all the bottles of liquid soap.

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Answer:

10.57

Step-by-step explanation:

44+400=444

(4+62)-24=

66-24=42

444/42=10.57

From the normal distribution it is calculated that 9.18% of people has an iq over 120.

Normal distributions are crucial to statistics because they are widely used in the natural and social sciences to represent real-valued regressors with unknown distributions.

We have to find P( X > 120 )

Thus find z score for  x =120

[tex]z=\frac{x-\mu}{\sigma}=\frac{120-100}{15}=\frac{20}{15}=1.33[/tex]

Thus we get:

P(X>120) = P(Z>1.33)

P(X>120) = 1 - P(Z<1.33)

P( Z < 2.67) = 0.9082

Thus

P(X>140) = 1 - P(Z<2.67)

P(X>140) = 1 - 0.9082

P(X>140) = 0.0918

Percentage = 9.18%

Therefore 9.18% of people has an iq over 120.

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Answer: 8

Step-by-step explanation:

found slope

the actual amount is 78000 dollar

Step-by-step explanation:

one pack cigarettes cost 25 dollar

3 pack cigarettes costs 75 dollar

20 years × 52 =1040

1040 weeks

1040 × 75 dollar

78000 dollar

Answer:

25kg

Step-by-step explanation:

65=x+x+15

65-15=2x

50=2x

25=x

Answer:

b

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]5^{3}[/tex] × [tex]5^{4}[/tex]

=[tex]5^{(3+4)}[/tex]

= [tex]5^{7}[/tex]

1. The frequency table will be:

Physics - Not in algebra = 9

Not in physics (Algebra) = 24

Not in physics (Not in algebra) = 2

Total (Not in physics) = 26

Total = 11

2. The students are enrolled in either algebra or physics is B. 38.

It was found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both.

Not in physics for algebra = 24

Not in physics = 2

The Total for the value will be:

= 24 + 2= 26

The students enrolled in either will be:

= Algebra + Physics - Both

= 29 + 14 - 5

= 43 - 5

= 38

This illustrates the concept of addition and subtraction of numbers.

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Answer:

Its B. 38

Step-by-step explanation:

Hope this helps :)

The value of y-coordinate from the given information is 36.

Given that, the water level rises 12 centimeters every 7 minutes and you record the data point of ​(21​, y).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

According to the question the water rises 12 cm every 7 minutes. Taking x to represent the time in minutes and y to represent the rise in cm then, find the rise y in time x as;

7 minutes = 12 cm

1 minute

(1×12)/7 = 12/7

Hence in 1 minute, the rise is 12/7 cm

Thus in 11 minutes, the rise will be ;

21  × 12/7 = 3 × 12 = 36 cm

So, (x, y) will be (21, 36)

Therefore, the value of y-coordinate from the given information is 36.

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The number of positive pairs that satisfy the given linear function is given by: 161.

We have to look at the graph of the function relative to the x-axis, more specifically if the function is above or below the x-axis, as follows:

In the context of this problem, the function is defined as follows:

4x + 12y = 640.

Which is a linear function, as both x and y have exponents of 1. The ordered pairs on the function are the values above the line. With integer numbers, that is, numbers that have no decimal parts, from the graph of the function given at the end of the answer, the values of x for which the function is positive is given by:

0 ≤ x ≤ 160.

Containing 161 values of x. Since this represents a function, each of the 161 values of x is associated to a value of y, meaning that there are 161 positive integer pairs (x,y) that satisfy the equation 4x + 12y = 640.

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By definition. a Translation is a transformation in which a figure is moved a fixed distance in a fixed direction.

The Image is the figure obtained after the transformation and the Pre-Image is the original figure.

In this case, you know that the figure shown in the picture must be translated 5 units up. Therefore, the rule for this transformation is:

You can identify that the marked point on the Pre-Image has the following coordinates:

Therefore, applying the rule for this transformation, you get that the coordinates of the marked point in the final figure, are:

The answer is:

Coordinates of the marked point in the original figure:

Coordinates of the marked point in the final figure:

Answer:

34

Step-by-step explanation:

The value would be 34

consequently, the time and a half rate will be 33 dollars per hour according to the query.

A higher rate of pay known as "time and a half" is normally only applied to hours that are over 40 in a workweek or that are worked extra.

Companies have different overtime pay practices, with time and a half as a typical rate.

Simply said, it means that for each hour performed within the time and a half window, the employee will receive payment in addition to their regular hourly rate of one half of that amount.

Time and a Half Rate = Hourly Rate * 1.5

According to the given question:

Time and a half rate =22$*1-1/2

   =22$*1.5

   =33$ per hour

Therefore, According to the question given the Time and a pay half rate will

be 33$ per hour.

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Answer: Two out of three concert-goers prefer country music.

Step-by-step explanation:

Toby is interviewing country music concert participants, and therefore isn't getting a diverse spread of interviewees and isn't getting accurate data.