Teresa says she stacks about 7 dishes by hand every minute.
What line represents Teresa’s statement?

A. Line a
B. Line b
C. Line c
D. Line d

Answer:

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

Step-by-step explanation:

(2x + 3)⁵

₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵

Use Pascal's triangle to find nCr.

[tex]\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right[/tex]

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵

(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

Answer:

4.25x ≤ 50

Number of drink = 11

Step-by-step explanation:

Given:

Amount of gift card = $50

Each drink cost = $4.25

Find:

Number of drink

Computation:

Assume;

Number of drink = x

So,

4.25x ≤ 50

x ≤ 11.76

so,

Number of drink = 11

Answer:

126:54, or

63:27,or

7:3

Step-by-step explanation:

we can see that 126 can be divided by 2, and so can 54, so we reduce to #2,

we can see #2 can be divided by 9, so we get to #3

Answer:

x is a real number

Step-by-step explanation:

Answer:

6.8127 × 10^16

Step-by-step explanation:

Hope this helps:)

Answer:

6.8127 *10^16

Step-by-step explanation:

Scientific notation is a way to make these numbers easier to work with. In scientific notation, you move the decimal place until you have a number between 1 and 10. Then you add a power of ten that tells how many places you moved the decimal.

Answer:

$56.50

Step-by-step explanation:

I think. Something close to that.

Answer:

Hi there!

Your answer is:

Estimated to 60.38$

Step-by-step explanation:

7.5 hrs yesterday

8.05$ per hour

7.5hrs * 8.05dollars per hour = 60.375$

Estimated to 60.38$

Answer:

3x^(2)+3x+4

Step-by-step explanation:

Answer:

[tex]3x^{2} +3x+4[/tex]

Step-by-step explanation:

1.)Remove the parentheses [tex]3x^{2}-4x+6+7x-2[/tex]

2.)Group like terms

3.)Add similar elements -4x-7x=3x = [tex]3x^{2}+3x+6-2[/tex]

4,)Add/Subtract the numbers 6-2=4

5.)[tex]=3x^{2} +3x+4[/tex]

Answer: two points

Step-by-step explanation:

The intersection of a circle and a regular hexagon can be two pints option (C) two points is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The intersection of a circle and a regular hexagon.

As we know, the polygon is a geometric figure with a finite number of sides in two dimensions.

On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

If the circle and regular hexagon will intersect on a coordinate plane then it will create two intersection points.

Thus, the intersection of a circle and a regular hexagon can be two pints option (C) two points is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

Answer: The academy has 18 students per teacher. The academy has 10 students per tutor. The academy needs 13 tutors for 130 students.

Step-by-step explanation:

54/3=18

60/6=10

130/10=13

Answer:

The academy has  19 students per teacher.

The academy has  12 students per tutor.

The academy needs  12 tutors.

Step-by-step explanation:

Answer:

y=28/3x+6

Step-by-step explanation:

If you use the slope formula,     y2-y1

                                                      _____\

                                                       x2-x1

You would get that the slope is 23/3 and you can see the y-intercept is 6 so you would get y=28/3x+6.                                                        

Answer:

maria : 1/3 =0.3 line on top of three

franco:1/4=0.25

Step-by-step explanation:

tried my best hope its right :)

Answer:

Maria: 1/3 cups for each gallon

Step-by-step explanation:

Maria: 2/3 for every 2 gallons.  2/3:2

Franco: 1 1/4 for every 5 gallons.  1 1/4/:5

Okay, so I'm actually going to do it my way.

Maria : [tex]\frac{2}{3} = 4/6\\\frac{4}{6} /2 =2/6[/tex]

So, I simply turn it into a bigger fraction and cut it in half!

So, Maria uses 1/3 of a cup for each gallon

Hope this will help you figure out Franco's!!!

Answer:

The area of the square is 12 squares unit

Answer:

The answer is no solution or 0 solutions

Step-by-step explanation:

-3x + 9 = -3(2x + 3)+3(x-4)+1

−3x+9=−6x−9+3x−12+1

−3x+9=−3x−20

9=−20

no solution

Answer:5/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Coordinates of K

Answer: It’s A

Step-by-step explanation:

Answer:

A,the loan balance decreases $500 per month.

Step-by-step explanation:

Answer:

Equation should be: 15x + 5 = y

Step-by-step explanation:

I do not know the amount of money that he owed

For Example :

15(12) + 5 = y

180 + 5 = y

y = 185

Sorry if I'm incorrect

Answer:

The Answer Should be x-3y=-4

Step-by-step explanation:

Answer:

x > -2

Step-by-step explanation:

Answer:

C: The graph is not a function of x because the line y = 0 intersects the graph at two points.

Step-by-step explanation:

The line y = 0 will intersect the ellipse at the points, (-4 , 0) , (4 , 0)

Answer:

I think the answer is 31 I'm not sure tho this isn't my strongest subject

Answer:

42.9% or 43%

Step-by-step explanation:

270÷630=0.4285714286

0.4285714286 × 100 = 42.85714286

Rounded - 42.9% or 43%

Step-by-step explanation:

% change = (new - original)/original × 100

= (8,000 - 5,000)/5,000 × 100

= 3,000/5000 × 100

= 60%

Answer:

Rewriting the equation in slope intercept form is: Y= -8x+4

Step-by-step explanation:

Im sure there's a faster way to solving this, but I'm just in 8th grade so I'm gonna apply what I know so far.

First of all, we know that our slope is -8... so we have y= -8x so far

From here, to find out y intercept I knew that our slope deals with all the points assigned, therefore we know that from -4 the change would be -8 so we get -12. We can also go the other way. This means that we plus 8 to get positive 4. (Side note: the change in our x value is 1 so we know that our y intercept is always dealing with a 0 in the x position) ex. (0,9) the y intercept would be 9.

To wrap things up, the slope is -8 and the y intercept is 4.

We then get Y= -8x+4

Hope this helps! :)

Answer:

f(4) = -28

Step-by-step explanation:

f(x) = -[tex]x^{2}[/tex] - 6x + 12

f(4) = -[tex]4^{2}[/tex] - 6(4) + 12

f(4) = -16 - 24 + 12

f(4) = -40 + 12

f(4) = -28