Ava has $5 more than two-thirds of the amount Dan has. Ava has $23. What is the number of dollars Dan has?

Angle ECD and Angle FDC are same-side interior angles. They lie on the same side of the transversal and are on the inside of the two parallel lines. Same-side interior angles are supplementary, meaning that they add up to 180.

(40x + 15) + (5x + 30) = 180

45x + 45 = 180

45x = 135

x = 3

Angle ECD = 40(3) + 15 = 120 + 15 = 135

Angle FDC = 5(3) + 30 = 15 + 30 = 45

Hope this helps!

Answer:

There are 8 bottles in each box.

Step-by-step explanation:

Victor has 12 boxes with 'n' number of water bottles in each box.

A dozen is same as 12.

Now, 12 boxes and each with 'n' number of bottles. Total number of bottles in '12' boxes is 12n bottles.

Now, it is removing 12(a dozen) bottles from 12n bottles which gives 84.

So, 12n -12=84

Add both sides 12

12n= 96

Divide both sides by 12

n=8

So, there are 8 bottles in each box.

Answer:

[tex]1[/tex]

Step-by-step explanation:

Step 1:  Find the value

[tex]3^{3} - (4)(2)[/tex]

[tex]9 - (4)(2)[/tex]

[tex]9 - 8[/tex]

[tex]1[/tex]

Answer:  [tex]1[/tex]

the correct answer is BBBBBBBBB

Step-by-step explanation:

1. The length is one more thrice it's width. The height is 4 more than it width. We can represent the

[tex](3x + 1)(x + 4)[/tex]

[tex](3 {x}^{2} + 13x + 4)x = 720[/tex]

Multiply it by x.

[tex]3 {x}^{3} + 13 {x}^{2} + 4x = 720[/tex]

[tex] 3{x}^{3} + 13 {x}^{2} + 4 x - 720[/tex]

The possible roots

The possible roots are plus or minus is1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720. By a long list of substitution, 5 is a root. So this means that x=5. So the width has to be

[tex]x = 5[/tex]

2. First. we apply the Rational Root Theorem so the possible roots are plus or minus 1,2,3,6.

Let check via synethic division to see which are roots.

Let try 1 and -1 first. If we plug 1 into the equation, we get

[tex]1 - 2 - 5 + 6 = 0[/tex]

So 1 or (x-1) is a solution. Since it's a solution we can divide this into our original polynomial to get us a new polynomial that is more simplified. If we apply synthetic division, we get a new polynomial in

[tex] {x}^{2} - x - 6[/tex]

We can then factor this into

[tex](x - 3)(x + 2)[/tex]

So our roots or factors is

[tex](x - 1)(x - 3)(x + 2)[/tex]

Answer:

Circles have equations such as: (x -h)² + (y -k)² = radius²

You need terms raised to the power of 2

Step-by-step explanation:

Answer:

32 years

Step-by-step explanation:

8x12 because there are 12 inches in a foot

8x12=96

96/3

96/3=32

Answer:

32 years

Step-by-step explanation:

y = years

1 foot  = 12 inches

12 × 8 = 96

Now, plug in random numbers into the expression below to find how long it takes for the tree to grow 8 feet.

3y

3 × 10 = 30

3 × 20 = 60

3 × 30 = 90

3 × 31 = 93

3 × 32 = 96

It will take the pine tree 32 years to grow 8 feet, or 96 inches.

Step-by-step explanation:

Hey there!

Given;

[tex]1st \: expn = 26 {m}^{4} {n}^{2} [/tex]

= 2*13 m⁴ n²

2nd expn = m² n

Therefore, greatest common factor is; m²n.

Hope it helps!

The values of x between which the relative maximum occurs is between the x-values; -1 and 1

The known parameters;

The table of the partial set of the polynomial values is presented as follows;

[tex]\begin{array}{rcr}\mathbf{x}&&\mathbf{g(x)}\\-2&&-14\\-1&&-2\\0&&0\\1&&-4\\2&&-6\\3&&2\end{array}[/tex]

From the table above, we have that g(x) is maximum (g(x) = 2) when x = 3

Method;

Define and find the relative maximum

The relative maximum of a function, is given by a point where the graph of the function changes direction from 'continuously' increasing values of the function before the point to 'continuously' decreasing values of the function after the point

From the table, at x = -2, -1, 0, g(x) = -14, -2, 0, and is therefore, increasing

Where, x = 0, 1, 2, we have g(x) = 0, -4, -6, therefore, g(x) is decreasing

The maximum value of g(x), in the region where g(x) changes from increasing to decreasing is g(x) = 0, which is given between the x-values of -1 and 1

Therefore, the relative maximum is most likely to occur between the values of x = -1, and x = 1, which is the option -1 and 1

Learn more about relative maximum here;

https://brainly.com/question/2321623

Answer:

$377

Step-by-step explanation:

Volume of a cylinder is;

V = πr²h

Where;

r is radius

h is height

We are given;

radius; r = 4 m

Height; h = 15 m

Thus;

V = π × 4² × 15

V = 753.9822 m³

Cost of filling the tank is $0.5 per m³.

Thus, total cost to fill this tank is;

C = 0.5 × 753.9822

C = 376.9911

C ≈ $377

Answer:

21x+4

Step-by-step explanation:

X’s: 21x

#’s: 4

So it will be 21x+4

Answer:

[tex]4x^3-2x^2+5x-6+\frac{1}{x}[/tex] is a polynomial

Step-by-step explanation:

a polynomial is a set of numbers with multiple terms that are not simplify able

[tex]9x^7y^{-3} z[/tex] is not a polynomial because its actually one term, there is no addition/subtraction of different terms.

-13 is a single number, so not a polynomial

13x^-2 is also a single number, not a polynomial

Answer:

245 cm³

Step-by-step explanation:

Volume of a triangle = length x width x height / 3

7 x 7 x 15 = 735

735/3 = 245

volume of a triangle =length×width height 3

7×7×15=735

735/3=24

Answer:

-2/12

Step-by-step explanation:

Given Rational Numbers are 4/7 and 13/7

Adding them we get 4/7+13/7

= (4+13)/7

= 17/7

Therefore, the Sum of 4/7 and 13/7 is 17/7.

Add 5/12 and -3/12?

Given Rational Numbers are 5/12, -3/12

Adding them we get 5/12+(-3)/12

= (5-3)/12

= -2/12

Answer:

16ml is the answer.......mmmm...

Answer: 1⅓ batch of cookies

Step-by-step explanation:

From the question, we are given the information that a cook has 4 cups of raisins to make oatmeal cookies and that the recipe requires 3 cup of raisins for each batch of cookies.

Therefore, the number of batches of cookies that the cook can make will be the number of cups of rasins that the cook has divided by the number of reasons needed for each cookie. This will then be:

= 4/3

= 1⅓ batch of cookies

Answer:

what the product of 2 and 3

Step-by-step explanation:

x-3y=6

-3y=6-x

3y=x-6

y=x/3-2

option 4 is the answer

Answer:

1,2, and 4

Step-by-step explanation:

I attached a picture with the graph

y= -4 is a straight horizontal line (red line) and  

y≤10 will give a horizontal line passing trough y=10 (blue line)

the solution is all points under and on the line  y=10

1, 2, and 4 are part of the solution set

(the blue area is the solution of the system of equations)

Answer:

( - 2, 7 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

Patrick thinks that when 'a' is a negative integer and 'b' is a positive,

Let "a = -2" and "b = 3"

a). a - b is positive.

a - b = -2 - 3

            = -5 {negative]

Therefore, statement is False.

(a - b) is negative.

b). b - a is positive.

b - a = 3 - (-2)

       = 3 + 2

       = 5 [Positive]

Statement is True.

c). a - (-b) is negative.

a - (-b) = a + b

          = -2 + 3

          = 1 [Positive]

False.

But it's true when a = -5 and b = 3

a - (-b) = -5 - 3

           = -8 [Negative]

Answer:

(x + 2)(4x - 2).

Step-by-step explanation:

(x+2)(2x+1)+(x+2)(2x-3)

Note that  (x + 2) is common to 2 parts of the expression. So we have:

(x + 2)(2x + 1 + 2x - 3)

= Ix + 2)(4x - 2)

Answer:

it will be the correct answer..

because

The median is the most informative measure of central tendency for skewed distributions or distributions with outliers. For example, the median is often used as a measure of central tendency for income distributions, which are generally highly skewed.

Answer:

30 words per minute

Step-by-step explanation:

Take the number of words and divide by the number of minutes

150/5 = 30

300/10 =30

450/15 = 30

600/20 = 30

30 words per minute

Answer:

janae types 30 words each minutes.

Step-by-step explanation:

if 5minutes = 150 words

[tex]1 \: minute = \frac{150words}{5minutes} [/tex]

[tex] = \: 30words[/tex]

Answer:

b≥ - 8/3

Step-by-step explanation:

-3b-5≥-6b - 13.

Add 6b to each side

-3b+6b-5≥-6b+6b - 13

3b-5≥ - 13

Add 5 to each side

3b-5+5≥ - 13+5

3b≥ - 8

Divide by 3

3b/3≥ - 8/3

b≥ - 8/3

The value of f(-2.2) according to the given function; f(x) = [x] +3 is; f(-2.2) = 0.8

According to the question;

Hence, to evaluate the function at; f(-2.2);

We substitute -2.2 for x as follows;

Read more on linear functions;

https://brainly.com/question/15602982

Answer:

I believe the answer is 1

Step-by-step explanation:

edge 2022

Answer:

Step-by-step explanation:

Bonjour,

3x + y = 1

y = 6 - 4x

3x +6-4x= 1

-x+6 = 1

Answer:

(4, 0)

(-1, 3)

(2, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (2, 1)

Point (-3, 4)

Point (0, 0)

Rule (x + 2, y - 1)

Step 2: Translate

Substitute in points into rule.

Point (2, 1) → (2 + 2, 1 - 1) = (4, 0)

Point (-3, 4) → (-3 + 2, 4 - 1) = (-1, 3)

Point (0, 0) → (0 + 2, 0 - 1) = (2, -1)