A spool of ribbon is 85 inches long. riley needs to cut strips of ribbon that are 17 inches long. what are the possible numbers of strips that riley can cut?

Answers

Answer 1

Answer:

Answer:

80/14=5.7 OR 5 14 IN.

Step-by-step explanation:

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Solve -2 x + 6 = -20.

Answers

Answer:

x = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

-2x + 6 = -20

Step 2: Solve for x

Subtract 6 on both sides: -2x = -26
Divide -2 on both sides: x = 13

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: -2(13) + 6 = -20
Multiply: -26 + 6 = -20
Add: -20 = -20

Here we see that -20 does indeed equal -20.

∴ x = 13 is the solution to the equation.

Answer:

x = 13

Step-by-step explanation:

Subtract 6 from both sides: -2x = -26

divide both side by -2 to isolate x: x = 13

The arithmetic mean (A) of two numbers (a and b) is given by the formula A=a b2, and their geometric mean (G) is given by G=ab−−√. Their harmonic mean (H) is given by the formula G=AH−−−√. Which formula correctly gives H in terms of a and b?

Answers

Answer:

$H = (2ab)/(a+b)$

Step-by-step explanation:

As per the given statement:

The arithmetic mean (A) of two numbers (a and b) is given by the formula:

$A = (a+b)/(2)$ .....[1]

and

their geometric mean (G) is given by :

$G = √(ab)$ .....[2]

Their harmonic mean (H) is given by the formula:

$G = √(AH)$

Squaring both sides we get;

$G^2 = AH$

Substitute the given values we have;

$(√(ab))^2 =(a+b)/(2) \cdot H$

⇒ $ab = (a+b)/(2) \cdot H$

Multiply by 2 both sides we have;

$2ab = a+b \cdot H$

Divide both sides by a+b we have;

$(2ab)/(a+b) =H$

$H = (2ab)/(a+b)$

Therefore, the formula correctly gives H in terms of a and b is, $H = (2ab)/(a+b)$

$G=√(AH) \n G^2=(√(AH))^2 \nG^2=AH \nH=(G^2)/(A) \n \n A=(a+b)/(2) \hbox{ and } G=√(ab) \n \Downarrow \nH=(G^2)/(A)=((√(ab))^2)/((a+b)/(2))=(ab)/((a+b)/(2))=ab * (2)/(a+b)=(2ab)/(a+b) \n \n\boxed{H=(2ab)/(a+b)}$

Why might algebra tiles not be a good tool to use to factor x2 + 18x + 80? Explain.

Answers

For the polynomial x² + 18x + 80, to represent using algebra tiles would be difficult because the number of tiles needed would be very plenty.

Polynomial

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Algebra tiles is the use of tiles to represent variables and constants.

Given the polynomial x² + 18x + 80, to represent using algebra tiles would be difficult because the number of tiles needed would be very plenty.

Find out more on Polynomial at: brainly.com/question/2833285

Answer:

Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

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This is an sample response, so if u can put it in your own words.

What is the standard form of the equation for this circle?
(x – 4)2 + (y + 5)2 = 5.5
(x – 4)2 + (y + 5)2 = 30.25
(x + 4)2 + (y – 5)2 = 30.25
(x + 4)2 + (y + 5)2 = 11
(x + 4)2 + (y – 5)2 = 5.5