The movie theater sold 56 boxes of gummy bears during the week.At this rate how many boxes of gummy bears will the movie theater sell in a 6 week period

x - number of games

22x - cost of x tickets

10 - parking cost

The equation:

[tex]y=22x+10[/tex]

Answer:

y = 22x + 10

Step-by-step explanation:

Given,

The cost of each ticket = $ 22,

Let x be the number of tickets,

Then, the cost of x tickets = x × cost of each ticket

= 22x dollars,

Now, parking cost = $ 10,

So, the total cost of attending the game ( say y ) = cost of all tickets + parking cost

⇒ y = 22x + 10

Which is the required equation.

Answer:

y = x^2 + 9x + 6    No remainder.

Step-by-step explanation:

The divisor will be 3 The sign on the divisor switches.

3 || 1    +     6    -    21    -   18 ||

                 3         27     + 18

================================

      1          9         6          0

The answser is x^2 + 9x + 6

Answer:

The correct answer option is: The y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

Step-by-step explanation:

We are given a scatter plot with a best fit line as shown on the given graph.

The equation of the best fit line is given by:

y = 0.75x + 5

So with the help of the equation and by looking at the given graph, we can conclude about the representation of the y intercept that the the y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

Since the distance shown on the y axis is already 5 when the time started at 0 minutes.

By the fundamental theorem of algebra, we can factorize the quadratic as

[tex]2x^2-7x+N=2(x-r_1)(x-r_2)[/tex]

so that expanding the right hand side gives

[tex]2x^2-7x+N=2x^2-2(r_1+r_2)x+2r_1r_2[/tex]

[tex]\implies\begin{cases}-2(r_1+r_2)=-7\\2r_1r_2=N\end{cases}[/tex]

We're told that the product of the roots is -5, or [tex]r_1r_2=-5[/tex], so we get

[tex]2(-5)=N=-10[/tex]

The value of N for given conditions is -10. It can be calculated as shown below.

The quadratic equation given is:  [tex]2x^2 -7x + N = 0[/tex]

The product of roots of given equation is: -5

To find: Value of N

For quadratic equation [tex]ax^2 + bx + c = 0[/tex], we have:

[tex]\text{Product of roots} = \dfrac{c}{a}\\\\\text{Sum of roots} = \dfrac{-b}{a}[/tex]

For given quadratic equation, we have:

a = 2, b = -7, c = N

Thus, by above formula:

[tex]\text{Product of roots} = \dfrac{c}{a} = \dfrac{N}{2} = -5\\\\N = -5 \times 2 = -10[/tex]

Thus, value of N for given conditions is -10.

Learn more  about roots of quadratic equations here:

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Answer: [tex]\bold{\text{b.}\bigg(4,-\dfrac{1}{2}\bigg)}[/tex]

Step-by-step explanation:

x - 2 = -4y  →  x = 2 - 4y

3x + 2y = 11  

3(2 - 4y) + 2y = 11     replaced "x" with (2 - 4y)

6  - 12y + 2y = 11     distributed "3" on left side

6   - 10y        = 11      added like terms (-12y + 2y)

     - 10y        =  5      subtracted "6" from both sides

          y         [tex]= -\dfrac{1}{2}[/tex]       divided both sides by -10

Next, solve for x:

x = 2 - 4y

   [tex]= 2 - 4(-\frac{1}{2} )[/tex]

   = 2 + 2

   = 4

Answer:

your answer would be b

Step-by-step explanation:

Answer:

Any ordered pairs which have a slope of 5/4.

Step-by-step explanation:

The line has a slope of -4/5 which means the y values have a difference of -4 and the x values have a difference of 5. If the line is perpendicular to this line then its slope must be the negative reciprocal which is 5/4. Any points which have a difference in y values of 5 and a difference of x values of 4 will be on some line perpendicular to the original.

Answer:

165

Step-by-step explanation:

Answer:

[tex](x-6)[/tex] meters

Step-by-step explanation:

We  have been given that the area of a rectangle is [tex]x^2-11x+30[/tex] square meters and a length of [tex](x-5)[/tex] meters.

Since the area of a rectangle is product of its width and length.

[tex]\text{Area of rectangle}=\text{Width of rectangle*Length of rectangle}[/tex]

We can find width of our rectangle by dividing area of rectangle by length of rectangle.

[tex]\text{Width of rectangle}=\frac{\text{Area of rectangle}}{\text{Length of rectangle}}[/tex]

Let us substitute our given values in above formula.

[tex]\text{Width of rectangle}=\frac{x^2-11x+30}{x-5}[/tex]

Let us factor out numerator by splitting the middle term.

[tex]\text{Width of rectangle}=\frac{x^2-6x-5x+30}{(x-5)}[/tex]

[tex]\text{Width of rectangle}=\frac{x(x-6)-5(x-6)}{(x-5)}[/tex]

[tex]\text{Width of rectangle}=\frac{(x-6)(x-5)}{(x-5)}[/tex]

Upon cancelling out x-5 from numerator and denominator we will get,

[tex]\text{Width of rectangle}=(x-6)[/tex]

Therefore, the expression [tex](x-6)[/tex] meters represents width of the rectangle.

Answer:

the answer is x - 6, have a nice day

Answer:

6 books and 10 magazines

Step-by-step explanation:

Answer: 450 words

Step-by-step explanation:

Arjun: [tex]\dfrac{40 words}{1minute} \times\dfrac{30minutes}{} = 1200 words[/tex]

Dalia: [tex]\dfrac{55 words}{1minute} \times\dfrac{30minutes}{} = 1650 words[/tex]

  Dalia - Arjun

= 1650 - 1200

=      450

[tex]\frac{82}{450}\cdot100\%=\frac{164}{9}\%=18\frac{2}{9}\%[/tex]

Answer:

Step-by-step explanation:

(5 - 3i)(6 + 2i)

30 + 10i - 18i - 6i²

i² = - 1

30 - 8i - 6 - (- 1)

30 - 8i + 6

- 8i + 36

36 - 8i

Alternative D

I hope I helped you.

Answer: D

Step-by-step explanation:

  (5 - 3i)(6 + 2i)

= 5(6 + 2i)  -3i(6 + 2i)

= 30 + 10i  -18i - 6i²

= 30 - 8i -6(-1)    because i² = -1

= 30 - 8i + 6

= 36 - 8i

Answer:

1071/2

when you multiply the top you get 1071 and when you multiply the bottom you get 6. But if u want to simplify the answer could be 357/2

Plzzz give brainlest and thank me

Answer:

178.5

Step-by-step explanation:

First, Do 51/2, which is 25.5

Second do 25.5*21, which is 535.5

Third, do 535.5/5, which would be 178.5

So, the answer is 178.5

Hope this helps :)

Step-by-step explanation:

[tex]3x+\frac{5}{8}\geq 4x-\frac{1}{2}[/tex]

Subtract 5/8 on both sides

To subtract 5/8 we make the denominators same

[tex]3x\geq 4x-\frac{1*4}{2*4}-\frac{5}{8}[/tex]

Addition or Subtraction property of order is used

[tex]3x\geq 4x-\frac{9}{8}[/tex]

Subtract 4x on both sides

Addition or Subtraction property of order is used

[tex]-x\geq -\frac{9}{8}[/tex]

Now divide both sides by -1

Multiplication or Division property of order is used

[tex]\frac{-x}{-1} \geq \frac{-\frac{9}{8}}{-1}[/tex]

Multiplication or Division property of order is used

[tex]x\leq \frac{9}{8}[/tex]

Final answer:

The justification for solving the inequality involves using the Addition or Subtraction property of order to combine like terms and isolate the variable, and the Multiplication or Division property of order to solve for the variable, with an important note that dividing both sides by a negative number reverses the inequality symbol.

Explanation:

The justification for each step in solving the inequality 3x + 5/8 ≥4x − 1/2 can be broken down as follows:

3x + 5/8 ≥4x − 1/2 Given

3x ≥4x − 9/8 Addition or Subtraction property of order, subtracting 5/8 from both sides

−x ≥ − 9/8 Addition or Subtraction property of order, subtracting 4x from both sides

−x / −1 ≥ −9/8 / −1 Multiplication or Division property of order, dividing both sides by −1

x ≤9/8 Multiplication or Division property of order, understanding that dividing by a negative number reverses the inequality symbol

Each step involves manipulating the inequality while maintaining the balance, and the direction of the inequality changes when both sides are multiplied or divided by a negative number.

[tex]\text{The explicit rule of geometric sequence}\\\\a_n=a_1 r^{n-1}\\------------------------------\\\text{We have the recursive form}\ a_1=4,\ a_n=\dfrac{1}{3}\cdot a_{n-1}.\\\\\text{Therefore}\ r=\dfrac{1}{3}.\ \text{Substitute:}\\\\\boxed{a_n=4\left(\dfrac{1}{3}\right)^{n-1}}[/tex]

Answer:

Anne found the 10th term of the following sequence. Her steps are shown below.

3, 7, 11, 15, …

1. common difference = 4, a1 = 3

2. an = 3 + (n - 1)4

3. an = 3 + 4n - 4

4. an = 4n - 1

5. a10 = 4(10) – 1

6. a10 = 39

Analyze Anne’s work. Is she correct? If not, what was her mistake?

Yes, she is correct.

No, she needed to find the common ratio because it is a geometric sequence.

No, she substituted the wrong values into the rule to find the equation that represented the sequence.

No, she solved for the 10th term incorrectly.

Step-by-step explanation:

Answer:

The dimensions of rectangle a are 6x4 and dimensions of rectangle b are 6x2.

Step-by-step explanation:

We are given a square with area 36 squared cm. Therefore, dimension of the square will be 6 cm.

The square is cut into two rectangles with areas in the ratio 2:1.

Let the dimensions of the rectangles be 6*a and 6*b. Therefore, we can set up the ratio of areas as:

[tex]\frac{6a}{6b}=\frac{2}{1}  \\a=2b[/tex]

Moreover, we can set the combined area of rectangles equal to the area of square to form another equation:

[tex]6a+6b=36\\a+b=6[/tex]

Using substitution method, we can solve for 'a' and 'b' as shown below:

[tex]2b+b=6\\3b=6\\b=2[/tex]

And

[tex]a=2b\\a=2(2)\\a=4[/tex]

Therefore, dimensions of the two rectangles are 6x4 and 6x2, respectively.

Answer:

30,150, 210 ,330

Step-by-step explanation:

1/sin^2x = 4

Multiply each side by sin^2x

1 = 4 sin^2 x

Divide each side by 4

1/4 = sin^2 x

Take the square root of each side

sqrt(1/4) = sqrt(sin^2 x)

±sqrt(1/4) = sin x

±1/2 = sinx

Take the inverse sin of each side

arcsin (1/2) = arcsin (sin x)    and arcsin(-1/2) = arcsin (sin x)

30 = x                                                   -30 = x

                                                 But this is not between 0 and 360,

                                                        so we add 360

                                                        -30+360 = 330

We also have to look at the other locations where  sin x = 1/2

Taking the arcsin only gives values between -90 and 90

Since we are looking at the sin value, we take 180 - the value given

180 -30 = 150

180 --30

180+30 = 210

So our values are 30, 150,210,330

Answer:

it is 20% can you mark me brainless

Step-by-step explanation:

Answer:

 degree=2 leading coefficient=4

lowest degree = 3

maximum of 5 x-intercepts

[tex]y=-4x^7-5x+3[/tex] has y intecept 3

y approaches negative infinity

Step-by-step explanation:

(1) [tex]y=4x^2-3x+7[/tex]

Highest exponent is the degree of the function

Highest exponent =2  so degree =2

Coefficient of x^2 is 4, so leading coefficient is 4

(2) from the graph we can see that

As x approaches infinity, the graph goes down

As x approaches -infinity, the graph goes up

The value of y goes on the opposite direction. So it is a odd degree function. If degree =1  then the graph should be a line

Here the graph is like a curve. Also we have 2 x  intercepts . Hence lowest possible degree of the function is 3

(3) y=ax^5+cx^2+f

Here , the degree of the equation is 5

So we will get maximum of 5 x-intercepts

(4) To find the function that has y intercept of 3, we plug in 0 for x in each function

[tex]y=-4x^7-5x+3[/tex]

[tex]y=-4(0)^7-5(0)+3= 3[/tex]

[tex]y=-4x^7-5x+3[/tex] has y intecept 3

(5) [tex]y=-2x^{13}+25x^8-3[/tex]

Here degree is 13 that is odd  and leading coefficient is -2 ( negative)

Degree is odd and leading coefficient is negative so the graph of y goes down on the right side.

the graph of y approaches negative infinity when x approaches infinity

The degree and leading coefficient of the polynomial function y=4x2-3x+7 are 2 and 4 respectively. The maximum of x-intercepts for a polynomial graph y=ax5+cx2+f is 5. The polynomial function y=-4x7-5x+3 has a y-intercept of 3 and as x approaches infinity in the function y=-2x13+25x8-3, y approaches negative infinity.

1. The degree of the function y=4x2-3x+7 is 2 and the leading coefficient is 4. Therefore B. degree=2 leading coefficient=4 is correct.

2. As the image of the function graphed is not provided, it is impossible to definitively say what the lowest degree of the function is.

3. The maximum number of x-intercepts that can be found on a graph with the equation y=ax5+cx2+f is 5, matching the degree of the polynomial, so D. 5 is correct.

4. The polynomial function y=-4x7-5x+3 has a y-intercept of 3, therefore C. y=-4x7-5x+3 is correct.

5. Since the polynomial y=-2x13+25x8-3 has an odd degree and the leading coefficient is negative, as x approaches infinity, y approaches negative infinity. Therefore D. y approaches negative infinity is correct.

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Answer:

B, D, E- 12 per hat so 12x / 6 per scarf 6x

A -  Graph then find the order pair on the line

?

Problem 1

Answer: Choice A, Choice B, and choice C

---------

Explanation:

x = number of hats made,

12*x = total time to knit just hats (12 hrs to do 1 hat)

y = number of scarves made

6*y = total time to knit just scarves (6 hrs to do 1 scarf)

In total, it takes 12x+6y hours to knit everything (scarves+hats) and we want this total time to be 20 or less, so this means choice B is one of the answers

Choice A and choice C are also answers because they restrict how many scarves and hats we can make. Choice A says we can make at most 8 scarves. Choice C says the max number of hats we can make is 5.

The other inequalities won't apply so they can be crossed off the list.

=============================

Problem 2

Answer: choice A and choice B

---------

Explanation:

If you plug in x = -2 and simplify, you'll end up with f(x) = -4, so that helps confirm A is one of the answers. Choice B is the other answer because x = 2 leads to f(x) = 56

In contrast, if you plugged in x = 8, you'd end up with 4088 which is way off of the y coordinate 0 listed. The same story happens with x = 24 but the result is much much larger.

=============================

Problem 3

To be honest, I'm not sure what to make of this problem. If x is the decimal form of the sales tax, then 1+x would be the multiplier to help get the total cost. For example, if x = 0.02 then 1+x = 1+0.02 = 1.02, meaning that the final cost (after tax) is 102% of the original cost (before tax)

1+x isn't the amount of tax as that would be 15.85*x

The percent of tax would be 100*x (eg: x = 0.02 so 100*x = 100*0.02 = 2% tax rate)

The cost of the toy is given to be 15.85 so that answer is out as well.

=============================

Answer:

18 hours

Step-by-step explanation:

We work in fractions of the job done per hour.

So in the case of Tran alone he does 1/9 of the job per hour.

We have the equation 1/9 + 1/x = 1/6  where x is the time taken for Luis to deliver the newspapers.

1/9 + 1/x = 1/6

Multiply through by the LCM 18x:-

2x + 18 =  3x

18 = x

the answer is:

18 hours !

Answer: 40 Boxes

Step-by-step explanation: All you need to do is divide 800 by 20.

Answer:

40

Step-by-step explanation:

Answer:

  = 5  * 10 ^ 1/3

Step-by-step explanation:

3 log 2x=4

Divide each side by 3

3/3 log 2x=4/3

log 2x=4/3

Raise each side to the power of 10

10 ^(log 2x)=10 ^(4/3)

2x = 10 ^(4/3)

Divide by 2

2/2x =  1/2 * 10 ^(4/3)

x = 1/2 * 10 ^4/3

10 ^ 4/3  = 10 * 10 ^ 1/3

x = 1/2  ( 10)  10 ^ 1/3

  = 5  * 10 ^ 1/3

Answer:

1.5 hours

Step-by-step explanation:

using the relationship between distance/ speed / time

distance = speed × time

speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{248}{4}[/tex] = 62 mph

travelling at this rate then

time = [tex]\frac{distance}{speed}[/tex] = [tex]\frac{93}{62}[/tex] = 1.5 hours

Answers: (B) (2, -1) and (D) (5, 2)

Step-by-step explanation:

Inverse is when the x's and y's are swapped

Given: (-2, 5), (-1, 2), (0, 1), (2, 5)

Inverse: (5, -2), (2, -1) (1, 0), (5, 2)

The correct answer would be options (B) (2, -1) and (D) (5, 2)

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

Given that the set of points is on the graph of a function.

{(−2, 5), (−1, 2), (0, 1), (2, 5)}

We have to find the inverse of the function below :

{(−2, 5), (−1, 2), (0, 1), (2, 5)}

When the values of x and y are switched, the inverse is true.

(-2, 5) ⇒ (5, -2),

(-1, 2) ⇒ (2, -1),

(0, 1) ⇒ (1, 0),

(2, 5) ⇒ (5, 2)

Hence, the points {(5, -2), (2, -1) (1, 0), (5, 2)} are on the graph of the inverse.

The correct answer would be options (B) (2, -1) and (D) (5, 2)

Learn more about the inverse function here:

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Answer:

Step-by-step explanation:

The basic and simple way to calculate the probability of an event happening is by using this equation:

Our desired outcomes are picking either red or yellow candies. The number of desired outcomes in this case is the total number of red and yellow candies. 6 red + 3 yellow = 9

Number of desired outcomes = 9

Number of all possible outcomes in this case is the total number of candies in the bag. 10 green + 8 brown + 3 yellow + 8 blue + 6 red = 35

Number of all possible outcomes = 35

Use the formula and we get that the probabbility of drawing out a yellow or red candy is: 9/35, 0.257 or 25.7% (those are 3 different ways to write the probability)

Hi there! :)

Answer:

Jaime has 30 dimes in his pocket.

Step-by-step explanation:

First off, you need to know that:

A quarter is equal to = $0.25

A dime is equal to = $0.10

Jaime has 6 quarters, which means that he has 6 times $0.25:

6 × 0.25 = $1.50

Jaime has a total of $4.50 → Subtract the amout of money represented by the quarters and you'll be left with the amout of money represented by the dimes:

4.50 - 1.50 = $3

Jaime has $3 worth of dimes in his pocket. In order to know how many dimes $3 represents, you'll need to divide "3" by 0.10, which is what 1 dime is worth:

3 ÷ 0.10 = 30 → YOUR ANSWER

There you go! I really hope this helped, if there's anything just let me know! :)