Their total bill for lunch was $56. Toni paid the check with three twenty dollar bills. Write an algebraic expression that represents the difference between how much Toni paid and actual amount of bill. Do not simplify.

Final answer:

To find the product of three consecutive nonzero integers, multiply the first number by the next two numbers in the sequence.

Explanation:

If the first integer is n, the next will be n+1 and the next to it will be n+2

The product of three consecutive nonzero integers can be calculated using the formula:

n * (n+1) * (n+2)= n(n^2 + 3n+ 2)=n^3 +3n^2 + 2n

where 'n' represents the first integer. For example, if we take 'n' as 2, the three consecutive nonzero integers would be 2, 3, and 4. So, the product would be 2 * 3 * 4 = 24= (2)^3+  3*(2)^2+ 2*2

Final answer:

To write a rational number as a repeating decimal, perform long division. -7/9 as a repeating decimal is -0.7777..., 11/15 is 0.7333..., and 8/3 is 2.6666...

Explanation:

To write a rational number as a repeating decimal, you need to perform a long division. Let's go through each of the given rational numbers:

1. -7/9

When you divide -7 by 9, you get -0.7777… with the 7s repeating. So, -7/9 as a repeating decimal is -0.7777…

2. 11/15

When you divide 11 by 15, you get 0.7333… with the 3s repeating. So, 11/15 as a repeating decimal is 0.7333…

3. 8/3

When you divide 8 by 3, you get 2.6666… with the 6s repeating. So, 8/3 as a repeating decimal is 2.6666…

Answer: The answer is biased :)

Answer:

Given inequality,

[tex]x+y<1[/tex]

For graphing the inequality :

The related equation of the given inequality,

x + y = 1

Having the x-intercept = (1,0),

y-intercept = (0,1),

Also, at (0,0),

0 + 0 < 1 ( True )

⇒ The area of the given inequality x + y < 1 must contain the origin.

Now, '<' show the dotted line.

Thus, by the above explanation we can plot the graph of the given inequality.

Answer: supplementary, complementary, neither.

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

The required line will be y = 3 which is passing through points (6,3) and (-4,3)

The slope of the line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Assume two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

To determine the line of passing through points (6,3) and (-4,3)

We have been given two points :(6,3) and (-4,3)

Let the required line will be:

(y - y₁) =  [(y₂ - y₁)/(x₂ -x₁ )](x -x₁  )

Here

x₁ = 6, y₁ = 3

x₂ = -4, y₂ = 3

(y - y₁) =  [(y₂ - y₁)/(x₂ -x₁ )](x -x₁  )

Substitute values in the above formula

(y - 3) =  [(3 - 3)/(-4 -6 )](x -6 )

(y - 3) =  [(0)/(-10 )](x -6 )

(y - 3) = 0

y = 3

Therefore, the required line will be y = 3

Learn more about the line of the equation here:

brainly.com/question/14511992

#SPJ5

The number of beads used to make 7 bracelets will be equal to 56 beads.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data given in the question,

Three bracelets have 24 beads, so start with the lowest number. Finding out how often beads are on a single bracelet will help you locate the solution the quickest. We shall know the answer on 24/3.

24/3=8.

Then multiplying 56 by 7 to get.

Then confirm that your response still makes sense.

3 x 8 = 24

5 x 8 = 40

7 x 8 = 56

9 x 8 = 72

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ2

Answer:

Atleast 53

Step-by-step explanation:

We are given that your basketball team has a goal  to collect atleast 160 blanket for a shelter.

Team member bought blankets on Monday =42

Team member bought blankets on Wednesday=65

We have to write an inequality and find the number of blankets  has to collect on Friday.

Let x be the number of blankets  bought by team members on Friday

According to question

[tex]42+65+x \geq 160[/tex]

[tex]107+x \geq 160[/tex]

Subtract 107 on both sides

[tex]107-107+x\geq 160-107[/tex]

[tex]x\geq 53[/tex]

Hence, team members bought atleast 53 blankets on Friday .

The number of hours will they be 280 miles apart will be 2 hours.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Two vehicles leave new york simultaneously going in inverse headings. one goes at a typical speed of 77 mph and the other at 63 mph.

The relative speed is given as,

S = 77 + 63

S = 140 miles per hour

The number of hours will they be 280 miles apart will be calculated as,

Time = 280 / 140

Time = 2 hours

The number of hours will they be 280 miles apart will be 2 hours.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

The solution for given equation 17=-13-8x is x = -15/4.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given equation is,

17 = -13 - 8x

Now to solve the equation following steps are followed :

adding 13 both the sides of the equation,

17 + 13 = -13 - 8x + 13

or, 17 + 13 = -13  + 13 - 8x

Solving them we get,

30 = - 8x

or, - 8x = 30

multiplying -1 both side

- 8x*(-1) = 30*(-1)

Solving them we get,

8x = -30

dividing both side by 2

8x/2 = -30/2

Solving them we get,

4x = -15

dividing both side by 4

4x/4 = -15/4

Solving them we get

x = -15/4

Hence,the solution for given equation 17=-13-8x is x = -15/4.

To learn more about equation :

https://brainly.com/question/22647731

#SPJ2

The value of x is 15.

For given question,

Two of the angles in a parallelogram measure 5x° and 7x°

The measure of an angle opposite to 5x° is also 5x°

Similarly the measure of an angle opposite to 7x° is also 7x°

So, we have the four angles of parallelogram as 5x°, 7x°, 5x°, 7x°

We know, the sum of all angles of quadrilateral is 360°

⇒ 5x° + 7x° + 5x° + 7x° = 360°

⇒ (5 + 7 + 5 + 7) x = 360

⇒ 24x = 360

⇒ x = 15

Therefore, the value of x is 15.

Learn more about parallelogram here:

https://brainly.com/question/1563728

#SPJ3

The figure that shows how a shape can be rotated about an axis to form a disc is (c) rectangle

The shapes in the figures are given as:

A. Rectangle

B. Semicircle

C. Inscribed semicircle

D. Another Rectangle

When the first rectangle is rotated about the axis, it forms a spiral shape

Rotating a semi-circle and the inscribed semi-circle about its axis would form a hemisphere

However, when a rectangle that has one of it sides on the axis is rotated, it forms a cylinder or disc

Hence, the figure is (d) rectangle

Read more about rotation at:

https://brainly.com/question/4289712