a fast-food restaurant offers 6 different burgers, 5 different side orders, 8 different flavor drinks, and 9 different flavors of ice cream. in how many ways can a combo containing 2 burgers, 2 different sides, 3 different flavor drinks, and 3 ice cream flavors be made? a) 36 b) 705,600 c) 404,040 d) 165 e) 2,160 f) none of the above.

The nth term of the given sequence is 6n

The given sequence is 6, 12, 22, 36,....

The formula to find the nth term is

T(n) = a + (n-1)d       ... (1)

Where n is the number of terms

a is first term

d is common difference

Here

n = n. a = 6,

d = 12 - 6 = 6

Substitute the values in equation (1)

T(n) = 6 + (n-1)6

⇒ T(n) = 6 + 6n - 6

⇒ T(n) = 6n

Hence the nth term of the given sequence is 6n

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You can see pic..

Preston left with $5 and correct expression for to find solution is option(B) i.e, 15 - (6.5 + 2 * 1.75)

What is an Algebraic Expression?

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression. For example, 3x² − 2xy + c is an algebraic expression.

Given,

Total money Preston have = $15

He buys the ticket for = $6.50

And, two snacks = $1.75 each

so the cost of two snacks is = 1.75 * 2 = $3.5

Total cost for ticket and snacks = $3.5 + $6.50 = $10

Now, he spent money on snacks and ticket $10 and he have total money $15 so,

Preston left with = $15 - $10

                           = $5

Therefore, Preston left with $5 and correct expression for to find solution is option(B) i.e, 15 - (6.5 + 2 * 1.75)

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Answer:

yhj

Step-by-step explanation:

all in the text bag with you high bag GM DJ tee SB hy DJ DJ TV DJ DJ DJ DJ CB jus DJ tty 464+7557+56(6)=7

Answer:

78

Step-by-step explanation:

x + 12 = 90

x = 78

The car travels 30 miles in 45 minutes with the speed 40 miles/hour with the constant speed.

Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. The distance traveled by a moving object in a specific amount of time is its speed. How quickly something is moving is determined by its speed. The distance traveled by an object in a given amount of time divided by the time gives the object's average speed.

Here,

45 minutes/60 minutes= .75 hours (this gives you the amount of time in hours)

time x speed = distance

.75 hours time x 40 mph speed = 30 miles distance

With a constant speed of 40 miles per hour, the car covers 30 miles in 45 minutes.

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The minimum score needed to receive a grade of 'a' is 87.92

Given that,

At a nearby university, a professor noticed that her students' exam results were regularly distributed, with a mean of 73 and a standard deviation of 11. 8.75 percent of the professor's students achieved grades of A, she told us.

Mean = μ = 73

Standard deviation = σ =  11

Using the standard normal table,

⇒ P(Z > z) = 8.75%

⇒ 1 - P(Z < z) = 8.75%

= 1 - P(Z < z) = 0.0875

= P(Z < -1.36) =1- 0.0875

= P(Z < 1.3563) =0.9125

∴ Z = 1.3563                              ( Using standard normal z-table )

Using z-score formula ;

x= z * σ + μ

x=1.3563 * 11 + 73

x=87.92

So, the minimum score needed to receive a grade of 'a' is 87.92

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Answer: D

Step-by-step explanation:

-7(-4-(4)(-6))

-7(-4-(4)(-6))

=140

The area of the shaded portion of the parallelogram is 35.43  centimeter square

The base of the parallelogram = 8 centimeter

The height of the parallelogram = 6 centimeter

The area of the parallelogram = Base × Height

= 8 × 6

= 48 centimeter square

The radius of the circle = 2 centimeter

The area of the circle = π × [tex]r^2[/tex]

= π × [tex]2^2[/tex]

= 12.57 centimeter square

The area of the shaded region = The area of the parallelogram - The area of the circle

Substitute the values in the equation

= 48 - 12.57

= 35.43 centimeter square

Hence, the area of the shaded portion of the parallelogram is 35.43  centimeter square

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The fraction 7/2a+4/a*a can be written as (7 + 8a) / 2a

What is a fraction?

In general, any number of equal pieces is represented by a fraction, which is a portion of the entire. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many pieces of a particular size there are in spoken common English. In other words, a fraction indicates the components of a whole or group of items.

Solution Explained:

First, we simplify the equation

=  [tex]\frac{7}{2a} + \frac{4}{a} X a[/tex]

=  [tex]\frac{7}{2a} + 4[/tex]

= [tex]\frac{7 + 8a}{2a}[/tex]

Therefore, the equation can be written as (7 + 8a) / 2a

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i gotchu what do u want

Answer:

175

how will convert it in mixes fraction when there is no division number

From the coefficients of the quadratic equation and the vertex of the parabola, it was found that the graph again crosses the x-axis  in x=7.

The standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

For solving the quadratic function, you should find the discriminant: Δ=b²-4ac and then use this variable in the formula: [tex]\frac{-b \pm \sqrt{\Delta} }{2a}[/tex] .

The given equation is a quadratic function because have a degree equal to 2. Therefore, the graph is represented by a parabola. The vertex of the parabola is given by the coordinates(xv= -b/2a, yv= -Δ/4a).

From the given figure, it is possible to see that:

For x= -1, you have y=0, then:

ax²+bx+c=0 -> x=-1

a (-1)²-b+c=0

a*1-b+c=0

a-b+c=0 (1)

For y= 2, you have x=0, then:

ax²+bx+c=0

a*0²+b*0+c=2

0+0+c=2

c=2 (2)

As, a-b+c=0 (1) and c=2 (2), you have:

a-b+c=0

a-b+2=0

a-b=-2 (3)

Now, you should use the information about the xv.

[tex]x_v=\frac{-b}{2a} =3[/tex]

-b=6a

b=-6a

From equation 3, you will find the coefficient a .

a-b=-2 (3)

a-(-6a)= -2

a +6a =-2

7a= -2

a=-2/7

If a= -2/7, from equation 3 you can find the coefficient b.

b=-6a = -6* (-2/7)=12/7

Thus, the quadratic equation of the plot is: ax²+bx+c

[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex]

Now, you should find the roots for the found equation :[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex].

[tex]x_{1,\:2}=\frac{-12\pm \sqrt{12^2-4\left(-2\right)\cdot \:14}}{2\left(-2\right)}[/tex]

[tex]x_1=\frac{-12+16}{2\left(-2\right)}=-1,\:x_2=\frac{-12-16}{2\left(-2\right)}=7[/tex]

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Answer:

4:1

Step-by-step explanation:

12÷3=4

3÷3=1

white to blue

12 : 1

To make 21 gallons of 3% disinfectant solution, 7 gallons of 5% solution are used, and 14 gallons of 2% solution are used.

21 gallons of the 3% solution is required.

Therefore, the amount of disinfectant in the solution

= 3/100  X  21 gallons

= 0.63 gallons

Let the amount of 5% disinfectant solution used be x

Therefore,

the amount of 2% disinfectant solution used is (21 - x)

Now, the amount of disinfectant added through these solutions must be equal to the amount of disinfectant in the solution.

Hence,

5/100 X x  +  2/100 X (21 - x) =  0.63

or, 5x/100 + (42 - 2x) / 100 = 0.63

or, 0.05x + 0.42 - 0.02x = 0.63

or, 0.03x = 0.63 - 0.42

or, 0.03x = 0.21

or, x = 0.21 / 0.03

or, x = 7

Therefore 21 - x = 14

Hence 7 gallons of 5% solution is used and 14 gallons of 2% solution is used.

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The inequalities to represent the Ann situation is t > 40.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

In Mathematics, the relationship between two values that are not equal is defined by inequalities.

Therefore, an expression with an inequalities  have the signs <, >, ≤ and ≥.

Let's represent the situation with an inequalities.

Therefore, Ann exercises no less than 40 minutes per day.

let

t = Ann's amount of exercise (in minutes per day).

The inequalities to represent the situation is as follows:

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Answer:

7/65

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Because answer would be 4/10 or 5/10

Answer:

b

Step-by-step explanation:

In the given equation  4 - 2y + 3 = - 9, y is equal to 8.

The equation is a statement in which the values of two mathematical expressions are equal (indicated by the sign =).

To find the value of y from the given equation

∴  4 - 2y + 3 = - 9

=> 4+3 -2y = -9

=> 7 - 2y = -9

=> 7 + 9 = 2y

=> 16 = 2y

=> 16/2 = y

=> 8 = y

=> y = 8

So, the value of y in the above equation 4 - 2y + 3 = -9 is 8.

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The linear equation parallel to 8y=6x+5  is:

y = (3/4)*x - 4

Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.

Here we want to find a line parallel to:

8y = 6x + 5

Rewriting this in slope-intercept form we get:

y = (6x + 5)/8

y = (3/4)*x + 5/8

Then a parallel line to this one will be:

y = (3/4)*x + b

To find the value of b, we use the fact that this line must pass through the point (-8, -10).

-10 = (3/4)*(-8) + b

-10 = -6 + b

-10 + 6 = b

-4 = b

Then the linear equation is:

y = (3/4)*x - 4

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The net yardage the team had after those 4 plays is -32.

From the information, the football team averaged a loss of 8 yards in each of 4 plays.

In a situation where they did not gain any yards, the net yardage the team had after those 4 plays will be:

= Yards loss × Number of matches

= -8 × 4

= -32

This illustrates the concept of multiplication that was used to calculate the net yardage.

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To select the community, there are 20 ways available.

What is Combination?

A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant.

Solution:

Since 2 particular students are to be included,

we have to arrange 3 students from 6 students.

nCr = n! / (n-r)!*r!

6C2 = 6!/ (6-3)! 3!

6C2 = 6*5*4*3!/ 3! * 3*2

6C2 = 5*4 = 20

Thereofre, there exists 20 ways of doing the above mentioned.

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Answer: The sum of two prime numbers is always even (which is composite).

Hope this helped :)

Answer:

A

Step-by-step explanation:

the arithmetic sequence is the one in which the difference between the one and the next term is a constant.

0,7,14,21,28,35,42...

this is an arithmetic sequence with a common difference of [7]

Answer:

3.24759526401

Step-by-step explanation:

divide that

The word problem including the given equation is mentioned below.

Given, a system of equations

x + y = 0

2x - y = 6

We have to make a word problem using the given system of equations.

Ram and Rahul are two friends and both attempt a test of 10 marks. Now, Ram prepared for the test whereas Rahul didn't prepared for the test and marked the wrong answers in the test. If negative marking is allowed in the test and it is given that, sum of the marks of both the students is zero. Also, twice the marks of Ram is 6 less than the marks of Rahul.

Find the marks of both the students.

Hence, the word problem including the given equation is mentioned above.

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Answer:

2x+4=52

2x+19=67

2x+13=61

(I gotta be honest I can’t fully remember how to name the angles but to not set you astray I just put the equation each angle goes to)

x=24

Step-by-step explanation:

the sum of all three angles is equal to 180 degrees

So we can add all of these angles and set it equal to 180 like this

(2x+19)+(2x+4)+(2x+13)=180

Simplify by adding common terms

6x+36=180

   -36.  -36

6x=144

/6.  /6

x=24

So now to find the angles we just fill in x with 24

2(24)+4

48+4

52

2(24)+19

48+19

67

2(24)+13

48+13

61

Hopes this helps please mark brainliest