Victoria has 30 choclate bars and sells x amount of chocolate bars. Pedero has 60 choclate bars and sells twice as many. If at the end of the day they both sell the same amount of chocolate bars what equation can express the amount of chocolate bars Victoria sold?

Answer:

The single inequality -6 < x < 12, can be written as two inequalities thus

x > -6 and x < 12

Step-by-step explanation:

For the single inequality  -6 < x < 12,

To write the single inequality as two inequalities, first we will separate it into two as

-6 < x and x < 12

-6 is less than x means x is greater than -6, Hence, -6 < x can be written as

x > -6.

∴-6 < x and x < 12 becomes

x > -6 and x < 12

Hence, the single inequality -6 < x < 12, can be written as two inequalities thus

x > -6 and x < 12

Therefore, the correct option is the first one

x > -6 and x < 12

The original price of the sofa is $327.25.

Percentage is the fraction of an amount expressed as a number out of 100. The sign used to represent percentage is %.

When the price of the sofa is marked down, it becomes cheaper by the marked down percentage. The coupon also further reduces the price of the sofa.

Price of the sofa after the markdown = (1 - markdown) x original price

(1 - 0.3) x $550

0.7 x $550 = $385

Price of the sofa after the coupon = (1 - coupon) x price after the markdown

(1 - 0.15) x $385

0.85 x $385 = $327.25

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

#SPJ1

The third-degree polynomial equation with roots -4 and 6 + i is P(x) = (x + 4)(x - 6 - i)(x - 6 + i) or expanded form \(P(x) = x^3 - 8x^2 + 13x + 148\).

Let's denote the polynomial equation as \(P(x) = (x - r_1)(x - r_2)(x - r_3)\), where \(r_1 = -4, r_2 = 6 + i,\ and\ r_3 = 6 - i\).

Expanding the equation, we have:

\(P(x) = (x - (-4))(x - (6 + i))(x - (6 - i))\\P(x) = (x + 4)(x - 6 - i)(x - 6 + i)\\P(x) = (x + 4)((x - 6) - i)((x - 6) + i)\\P(x) = (x + 4)((x - 6)^2 - i^2)\\P(x) = (x + 4)((x - 6)^2 + 1)\\P(x) = (x + 4)(x^2 - 12x + 36 + 1)\\P(x) = (x + 4)(x^2 - 12x + 37)\\P(x) = x^3 - 8x^2 + 13x + 148\)

Therefore, the third-degree polynomial equation with the given roots is:

\(P(x) = x^3 - 8x^2 + 13x + 148\)

To know more about polynomial, refer here:

https://brainly.com/question/32536755

#SPJ4

Answer:

all you have to do is Just divided the numbers

Step-by-step explanation:

÷

Answer:

64w^2

Step-by-step explanation:

Because 8w is in parentheses, you must apply the exponent to both the 8 and w.

So, it becomes (8*8)(x*x) which equals (64)(x^2).

Which then gives you your final answer, 64x^2.

Answer: Its the tenths

Step-by-step explanation: :)

Work Shown:

f(x) = 5x - 7

f(3) = 5(3) - 7 .... every x replaced with 3

f(3) = 15 - 7

f(3) = 8

\( \: \)

Given :

To Find :

Calculating the value of x :

\(\sf : \implies \: 5x - 7\)

\(\sf : \implies \: 5(3) - 7\)

\(\sf : \implies \: 15 - 7\)

\(\bf : \implies \: 8\)

Hence,

\( \implies \boxed{ \bf \: \therefore \: The \: value \: of \: x \: is \: 8 \: } \\ \\ \)

Answer:

3.12

Step-by-step explanation:

Given:

The image above gives a better analysis of the image in the question

To get x, we will make use of the Pythagoras theorem.

since x is the hypotenuse

In the simplest radical form, x is equal to

Answer:1/6

Step-by-step explanation:

a)  The x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

b) The coordinates of the vertex are (0.75, -5.125).

c) By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

Setting f(x) = 0:

\(2x^2 - 3x - 5 = 0\)

To solve this quadratic equation, we can either factor it or use the quadratic formula. In this case, factoring is not straightforward, so let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 2, b = -3, and c = -5. Substituting these values into the quadratic formula:

x = (-(-3) ± √((-3)^2 - 4(2)(-5))) / (2(2))

x = (3 ± √(9 + 40)) / 4

x = (3 ± √49) / 4

x = (3 ± 7) / 4

This gives us two possible solutions:

x1 = (3 + 7) / 4 = 10/4 = 2.5

x2 = (3 - 7) / 4 = -4/4 = -1

Therefore, the x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or minimum, we need to consider the coefficient of the x^2 term in the function f(x). In this case, the coefficient is positive (2), which means the parabola opens upward and the vertex represents a minimum point.

To find the coordinates of the vertex, we can use the formula x = -b / (2a). In our equation, a = 2 and b = -3:

x = -(-3) / (2(2))

x = 3 / 4

x = 0.75

To find the corresponding y-coordinate, we substitute x = 0.75 into the function f(x):

f(0.75) = 2(0.75)^2 - 3(0.75) - 5

f(0.75) = 2(0.5625) - 2.25 - 5

f(0.75) = 1.125 - 2.25 - 5

f(0.75) = -5.125

Therefore, the coordinates of the vertex are (0.75, -5.125).

Part C: To graph the function f(x), we can follow these steps:

Plot the x-intercepts obtained in Part A: (2.5, 0) and (-1, 0).

Plot the vertex obtained in Part B: (0.75, -5.125).

Determine if the parabola opens upward (as determined in Part B) and draw a smooth curve passing through the points.

Extend the curve to the left and right of the vertex, ensuring symmetry.

Label the axes and any other relevant points or features.

By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

The x-intercepts help determine where the graph intersects the x-axis, and the vertex helps establish the lowest point (minimum) of the parabola. The resulting graph should show a U-shaped curve opening upward with the vertex at (0.75, -5.125) and the x-intercepts at (2.5, 0) and (-1, 0).

For more such questions on intercepts visit:

https://brainly.com/question/24212383

#SPJ8

Answer:

it might be 125 cuz it takes 10 100'to make 1000

The conversion 336g to m³ is impossible because they measure different units

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

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

Read more about metric units at

https://brainly.com/question/229459

#SPJ1

answer

43 minutes

explanation

:)

Answer:

Kindly check attached picture

Step-by-step explanation:

Based d on the instruction given.

1.)

-3 * 6 = 18

6 * - 2 = - 12

-3 * - 2 = 6

2.)

We use logical reasoning to find 2 numbers whichbwhen multiplied gives the number in the box in between :

The answers are given in the picture attached.

Answer:

30% gain

Step-by-step explanation:

$30 for 10 = $3 each

$46.80 for 12 = $3.9 each

percentage change = (final price- initial price)/inital price  *100

3.9-3 = 0.9

0.9/3 = 0.3

0.3 x 100 = 30

so gain of 30%

The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.

To learn more about dimensions, refer to:

https://brainly.com/question/1605852

#SPJ9

Answer:

which data? are you sure this question is complete

Answer: a) The equation of the least-squares regression line is y = -1.66x + 78.83. b) Residual =  7.11 inches. c) The residual is the deviation of a data point from the fitted regression line. In this case, the residual is 7.11 inches, indicating that the player who wears a size 9 and is 71 inches tall is taller than what would be expected based on the trend in the data.

Step-by-step explanation:

What is the least square regression and residual?

Least squares regression is a statistical method that is used to find the line of best fit for a set of data points. It involves finding the line that minimizes the sum of the squares of the differences between the actual data points and the predicted values on the line. The residual is the difference between the actual data point and the predicted value on the line.

Part A: The equation for the least-squares regression line can be found by using the following formula: y = bx + a

To find the values for a and b, we need to calculate the following values:

x: the mean of the shoe sizes,

y: the mean of the heights.

S x y: the sum of the products of the differences between the shoe sizes and x and the differences between the heights and y.

S x x: the sum of the squares of the differences between the shoe sizes and x.

X = (7+10+12+8+9.5+10+11.5+12.5+13.5+10) / 10 = 10.5

Y = (64+69+72+67+69+70+75+73+71+68) / 10 = 69.4

To find S x y and S x x, we use:

S x y = ∑(x - x)(y - y)

S x x = ∑(x - x)^2

Inserting the values from the table, we get:

S x y =-47.5

S x x = 28.5

Using values, we can calculate the slope and y-intercept of the least-squares regression line:

b = S x y / S x x = -47.5 / 28.5 = -1.66

a = y - bx = 69.4 - (-1.66)(10.5) = 78.83

So the equation of the least-squares regression line is y = -1.66x + 78.83

Part B: We can use the equation for the least-squares regression line to determine the residual for a player who wears a size 9 and is 71 inches tall. We calculate the player's height using the size 9 into the equation:

y=-1.66x+78.83=63.89 inches.

The residual is then calculated by deducting the expected height from the actual height: 7.11 inches =71- 63.89 inches.

Part C: The residual is the variation between the dependent variable's actual value (height) and its anticipated value according to the least-squares regression line. The athlete in this instance, who wears a size 9 and is 71 inches tall, is taller than what might be anticipated based on the trend in the data, according to the residual of 7.11 inches.

To learn more about least square regression and residual from the given link https://brainly.com/question/29740593

#SPJ1

The equation of the least-squares regression line is y = -1.66x + 78.83. b) Residual =  7.11 inches.

What is the least square regression and residual?
Least squares regression is a statistical method that is used to find the line of best fit for a set of data points. It involves finding the line that minimizes the sum of the squares of the differences between the actual data points and the predicted values on the line. The residual is the difference between the actual data point and the predicted value on the line.

Part A: The equation for the least-squares regression line can be found by using the following formula: y = bx + a
To find the values for a and b, we need to calculate the following values:
x: the mean of the shoe sizes,
y: the mean of the heights.
S x y: the sum of the products of the differences between the shoe sizes and x and the differences between the heights and y.
S x x: the sum of the squares of the differences between the shoe sizes and x.
X = (7+10+12+8+9.5+10+11.5+12.5+13.5+10) / 10 = 10.5
Y = (64+69+72+67+69+70+75+73+71+68) / 10 = 69.4
To find S x y and S x x, we use:
S x y = ∑(x - x)(y - y)
S x x = ∑(x - x)^2
Inserting the values from the table, we get:
S x y =-47.5
S x x = 28.5
Using values, we can calculate the slope and y-intercept of the least-squares regression line:
b = S x y / S x x = -47.5 / 28.5 = -1.66
a = y - bx = 69.4 - (-1.66)(10.5) = 78.83
So the equation of the least-squares regression line is y = -1.66x + 78.83
Part B: We can use the equation for the least-squares regression line to determine the residual for a player who wears a size 9 and is 71 inches tall. We calculate the player's height using the size 9 into the equation:
y=-1.66x+78.83=63.89 inches.
The residual is then calculated by deducting the expected height from the actual height: 7.11 inches =71- 63.89 inches.
Part C: The residual is the variation between the dependent variable's actual value (height) and its anticipated value according to the least-squares regression line. The athlete in this instance, who wears a size 9 and is 71 inches tall, is taller than what might be anticipated based on the trend in the data, according to the residual of 7.11 inches.

c) The residual is the deviation of a data point from the fitted regression line. In this case, the residual is 7.11 inches, indicating that the player who wears a size 9 and is 71 inches tall is taller than what would be expected based on the trend in the data.

To learn more about least square regression and residual from the given link
brainly.com/question/29740593
#SPJ1

sadad

asd

sda

ss

das

ds

dasd

as

dasdasd

Considering the volume of the given rectangular prism, the height is of 5.03 feet.

The volume of a rectangular prism of length l, width w and height h is given by:

V = lwh.

In this problem, we have that:

The volume is of 365 cubic feet, hence:

lwh = 365

(2h + 2)(h + 1)h = 365

(2h² + 4h + 2)h - 365 = 0

2h³ + 4h² + 2h - 365 = 0.

Using a cubic equation calculator, the height is of h = 5.03 feet.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

#SPJ1

The younger parent is at least 1 year old, and the older parent is 23 years old.

If your best friend's parents have an age gap of 11 years, then we can assume that one of them is 11 years older than the other. Let's call the younger parent "X" years old. Then the older parent must be X + 11 years old. Since your best friend is 12 years old, we know that both of her parents are older than 12. Therefore, we can set up an equation:

X + (X + 11) > 12

Simplifying this, we get:

2X + 11 > 12

2X > 1

X > 0.5

Since X must be a whole number (you can't have half a year of age), we know that X must be at least 1. Therefore, the younger parent is at least 1 year old. Using our equation, we can find the age of the older parent:

X + 11 = 12 + 11 = 23

Therefore, the younger parent is at least 1 year old, and the older parent is 23 years old.

To know more about age, refer to the link below:

https://brainly.com/question/27947853#

#SPJ11

It could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

The most accurate interpretation of the given confidence interval is as follows:

We are 95% confident that the true difference in mean wait time between Facility A and Facility B falls within the range of 0.32 minutes to 1.47 minutes.

This means that if we were to repeat the study multiple times and calculate a new confidence interval each time, we would expect that approximately 95% of those intervals would contain the true difference in mean wait time between the two facilities.

Furthermore, based on the observed data and the calculated confidence interval, we can conclude that the difference in mean wait time between Facility A and Facility B is likely to be positive, with Facility B having a higher mean wait time than Facility A. However, we cannot say with certainty that the true difference is exactly within this specific range; it could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

To know more about confidence interval  visit:

https://brainly.com/question/32546207

#SPJ11

Answer: x+y≤14

10x+5y>100

Step-by-step explanation:

Got it right! Hope this helps!

Yes, 90 degrees (clockwise) and -270 degrees (counterclockwise) are coterminal angles.

Two angles are coterminal if they share the same terminal side when drawn in standard position. In other words, coterminal angles differ by an integer multiple of 360 degrees.

To see if 90 degrees and -270 degrees are coterminal, we can add 360 degrees to the smaller angle (-270 degrees) and see if we get the other angle:

-270 + 360 = 90

Since we obtain 90 degrees after adding 360 degrees to -270 degrees, these two angles are coterminal. They share the same terminal side in standard position, even though their rotations have different directions (clockwise and counterclockwise).

Find out more on coterminal angles at https://brainly.com/question/23093580

#SPJ1

Answer:

C, 12,800

Step-by-step explanation:

40 x 320 = 12,800

Answer:

Vertex: (-2, 3) Axis of symmetry: x = -2 The parabola opens downward.

Step-by-step explanation: