WILL UPVOTE
Solve: 16x2 − 81 = 0.
x = 4, 9
x = −4, −9
x = 9 over 4, x = −9 over 4
x = 81 over 16, x = −81 over 16
A container holds 16 pints of lemonade. how much is this in gallons?
Answer: 2 gallons of lemonade.
Step-by-step explanation:
The container holds 16 pints of lemonade, and we know that a pint corresponds to 0.125 gallons.
So 16 pints are equal to 16 times 0.125 gallons:
16*0.125 gallons = 2 gallons
Then the container holds 2 gallons of lemonade.
Ronnie is scheduling a chess tournament in which each player plays every other player once. He created a table and found that each new player adds more games to the tournament in an arithmetic sequence. Answer this set of project questions regarding the chess games.
table:
# of players | # of games
1 | 0
2 | 1
3 | 3
4 | 6
5 | 10
Which of the following is a recursive rule for the original sequence?
A) an = an-1 + n + 1
B) an = an-1 + n - 1
C) an = an-1 + n
D) an = n2+ n
How many games must be played when 7 players are in the tournament?
Justify each step of the solution by stating the property that was used to get to each step.
Given:
Step 1:
Step 2:
Step 3: 17x = 40
Step 4:
Step 1: Distributive Property. Step 2: Combine like terms. Step 3: Add 34x to both sides. Step 4: Divide by 17. x = 60/17.
Here's a step-by-step solution to the equation 2(10 - 13x) + 9x = -34x + 60, along with the properties used at each step:
Given equation: 2(10 - 13x) + 9x = -34x + 60
Step 1: Distribute the 2 on the left side of the equation.
Property used: Distributive Property
2 * 10 - 2 * 13x + 9x = -34x + 60
20 - 26x + 9x = -34x + 60
Step 2: Combine like terms on both sides of the equation.
Property used: Combining like terms
-26x + 9x = -34x + 60
(-26x + 9x) = (-34x + 60)
-17x = -34x + 60
Step 3: Add 34x to both sides of the equation to isolate the variable x on the right side.
Property used: Adding the same value to both sides of an equation to maintain equality.
-17x + 34x = -34x + 60 + 34x
17x = 60
Step 4: Finally, divide both sides by 17 to solve for x.
Property used: Dividing both sides of the equation by the same nonzero value to maintain equality.
(17x) / 17 = 60 / 17
x = 60 / 17
So, the solution to the equation is:
x = 60 / 17
Each step in this solution is justified by the properties of equality and arithmetic operations.
The complete question is here:
Justify each step of the solution by stating the property that was used to get to each step. Given: 2 (10-13x) + 9x = -34x + 60 Step 1: 20 - 26x + 9x = -34x + 60 Step 2: -17x = -34x + 10 Step 3: 17x = 40 Step 4: x =( 40)/(17) 40 on top of 17 as a fraction.
How to divide 219 by 3?
Which function is NOT continuous?
a. your altitude as a function of time while flying from reno to dallas?
b. time to travel from miami to pensacola as a function of driving speed?
c. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls?
d. area of a circle as a function of radius.
Answer:
C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
Step-by-step explanation:
If you eat two slices of a medium pizza with eight slices, what is the simplest fraction for the number of slices of pizza leftover?
A hotel cost $198including tax. what is a room for 2 weeks
Which is an equation in point-slope form for the given point and slope?
Point: (7, 4); Slope: 6
y – 7 = 6(x + 4)
y – 4 = 6(x – 7)
y – 4 = 6(x + 7)
y + 4 = 6(x – 7)
What do you do when you must solve a system of equations by elimination but all of the coefficients on the variables are different? What is important to remember when doing this?
I NEED HELP FAST!!!!!
Monique is factoring the expression 4x+16xy Her work is shown below.
Factors of 4x: 1, 2, 4, x
Factors of 16xy: 1, 2, 4, 8, 16, x, y
GCF: 4x
Factored expression: 4x(0+4y)
Which best describes the accuracy of Monique’s solution?
A. Monique’s solution is accurate.
B. Monique made an error when listing the factors, which affected the GCF and the factored expression.
C. Monique made an error when determining the GCF from her list of factors.
D. Monique made an error when writing the factored expression.
Answer with explanation:
Monique is factoring the expression 4x+16xy Her work is shown below.
Factors of 4 x→: 1, 2, 4, x
Factors of 16 x y:→ 1, 2, 4, 8, 16, x, y
G CF: 4 x
Factored expression: 4 x(0+4 y)→Incorrect
→4 x +16 x y= 4* x + 4 *4* x* y
= 4* x* (1+4 y)
while writing the factored expression, we have to break the terms into smaller terms that is into monomials and then we should take out the common factor between the two terms.
Option D: Monique made an error when writing the factored expression.
Identify the graph of 3i (See figures).
Answer:
on edu its B
Step-by-step explanation:
What is the slope of the line passing through the points (1, −5)(1, −5) and (4, 1)(4, 1)?
−2
−4/5
2
5/4
passes through (4,-5), slope = 3/4
Cobalt-60 has a half-life of about 5 years.
How many grams of a 300 g sample will remain after 20 years?
A. 0.0625 g
B. 9.375 g
C. 18.75 g
D. 37.5 g
The answer to this question is C, i took the test.
Hope you have a great day!
an aeroplane moving horizontally with a speed of 180 km/hr drops a food packet while flying at a height of 490m . the horizontal range of the packet is?? ...?
What is the simplest form of expression? 2a^2b^2/4a
Final answer:
To find the simplest form of the expression 2a^2b^2/4a, you divide both the numerator and the denominator by the common factor 2a. The resulting simplest form of the expression is ab^2/2.
Explanation:
The student has asked: What is the simplest form of the expression 2a^2b^2/4a? The simplest form is achieved by simplifying the expression through division since there are common factors in the numerator and the denominator. Here, we can divide both the numerator and the denominator by 2a, which is a common factor. This simplification process will give us the simplest form of the expression.
To simply the expression 2a2b2/4a, we can follow these steps:
Divide the numerator and denominator by the common factor 2a.This results in a2b2/2a becoming ab2/2 after reduction.Therefore, the simplest form of the expression is ab2/2.
In the equation below, what is the coefficient of the variable?
15 = 8x
A. =
B. 8
C. x
D. 15
What is the greatest factor of: 6x^2y^3 + 18x^3y^3 + 36x^3y^2
The greatest factor of the given expression is 6x^2y^2, found by identifying the common variables with the lowest exponents and the greatest common divisor of the coefficients.
Explanation:The student is asking to find the greatest common factor (GCF) of the algebraic expression 6x^2y^3 + 18x^3y^3 + 36x^3y^2. To find the GCF, we look for the highest exponents of the variables that are common in each term, and the largest coefficient that can evenly divide all the coefficients of the terms.
Firstly, we notice that each coefficient (6, 18, 36) is divisible by 6, so 6 is part of our GCF. Next, we see that the smallest exponent of x is 2 and the smallest exponent of y is 2 as well. So, x^2 and y^2 are also part of our GCF. The greatest factor is then 6x^2y^2.
Therefore, when we factor out the GCF from the expression, it would be written as:
6x^2y^2 (y + 3x + 6xy)
Learn more about Greatest Common Factor here:https://brainly.com/question/29584814
#SPJ2
A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees. What is the measure of the tangent tangent angle?
Answer:
[tex]M=45 degrees[/tex]
Step-by-step explanation:
It is given that A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees, thus in this the vertex lies outside, therefore
The measure of the tangent tangent angle is the half of the difference of the two given arc, that is
[tex]M=\frac{1}{2}(225-135)[/tex]
⇒[tex]M=\frac{90}{2}[/tex]
⇒[tex]M=45 degrees[/tex]
Therefore, The measure of the tangent tangent angle is 45 degrees.
Write each fraction as an expression with negative exponents.
v/w raised to the second power ...?
What is a math teachers favorite breakfast? Its an algebra math worksheet riddle
The math teacher's favorite breakfast is Pi.
Pi (π)The number pi is a mathematical constant whose value is (3.141592653589793238...). its decimal representation is neither end (such as 1/4 = 0.25) nor becomes repetitive (such as 1/6 = 0.166666...). And it is generally denoted by the Greek letter p or π.
In geometry, the pi is generally defined as the ratio of the circumference of the circle to its diameter.
[tex]\rm{\pi=\dfrac{Circumference}{Diameter}[/tex]
Learn more about Pi:
https://brainly.com/question/7676604
What is 22.5% written as a mixed number
how do you simplify radicals?
HELP
What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3,−4)?
a new website didicated to helping users research their ancestry had 200 visitors in the first week. the marketing director beleives that without an advertising compaign, the site will gain 50 new users each week. how many total visitors will they have after 12 weeks?
2. What is the decimal expansion of the following fraction?
2/3
_
0.06
_
0.6
0.23
2.3
A rectangular box has a perimeter of 36 inches. Which of the following equations represents the area of the rectangular box in terms of its width, w?
a. A = 36w - w2 b. A = 18w - w2 c. A = 36 - w2 d. A = 18 - w2
How do I set the proportions up
what are the base seven counting numbers just before and after 16 base seven ? ...?
Final answer:
In base seven, the number just before 16 is 15, and the number just after 16 is 20. These correspond to 5 and 14 in decimal notation, respectively.
Explanation:
The question asks for the base seven counting numbers just before and after 16 in base seven. In base seven, counting is similar to decimal but stops at 6 before moving to the next place value. The number 16 in base seven is written as 6 in base 10, since base seven does not have a digit for '7' or higher. Therefore, the counting sequence in base seven goes ...14, 15, 16, 20, 21... Thus, the number just before 16 in base seven is 15 (which is 5 in base 10), and the number just after 16 in base seven is 20 (which represents 14 in base 10).