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Then looking at the equation that you solved for, look and see if there are any other equations that are related in some way to the original solved equation.
Pay close attention to the positive and negative signs.
Related Questions
Bertha and Vernon are competing in a diving competition. Bertha's dive ended -32 m from the starting platform. Vernon's dive ended -4 m from the starting platform. How many times farther was the end of Bertha's dive than the end of Vernon's dive?
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We have then:
Bertha's dive ended = -32 m
Vernon's dive ended -4 m
N = (Bertha's dive ended) / (Vernon's dive ended)
N = (- 32) / (- 4)
N = 8
Answer:
Bertha's dive was 8 times farther than the end of Vernon's dive
A 6 mile walking trail has a distance marker every 1/3 mile.
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Jenna wants to buy a new tablet that costs $242. She already has $62 and plans to save $12 per week. If w represents the number of weeks until Jenna has enough money to buy the tablet, write an equation that can be used to find the value of w
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Work I Did:
242 - 62 = 180
180 / 12 = 15
W = 15
Hope this helped,
Kevin
An equation to represents the given situation is 62+12w=242.
Given that, Jenna wants to buy a new tablet that costs $242.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let w be the number of weeks.
Jenna already has $62 and plans to save $12 per week.
Now, 62+12w=242
Therefore, an equation to represents the given situation is 62+12w=242.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he has for each.
Design component Number of options
Primary color 8
Secondary color 8
Sole color 8
Lace color 5
How many different shoe combinations can Arturo create?
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To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.
8 x 8 x 8 x 5 = 2560
Answer:
2,560
Step-by-step explanation:
okay so im working on it right now on khan
so you have to do 8x8x8x5
8x8 = 64 then 64x8=512 then 512x5=
2,560
now im not just going to leave you guys with this explaination because i dont really like people just putting answers up when it's wrong just for the points thats why i try to show proff on MOST of my work
the screenshot is below for proff
please mark me brainlist
The formula represents the surface area S of a cube with side lengths of X
S=6x^2
Answers
Rationalize the denominator by multiplying by the square root of 6:
[tex]\frac{\sqrt{S}*\sqrt{6}}{\sqrt{6}*\sqrt{6}}=x \\ \\ \frac{\sqrt{S*6}}{\sqrt{6*6}}=x \\ \\ \frac{\sqrt{6S}}{6}=x[/tex]
The formula S=6x^2 calculates the surface area S of a cube. It multiplies the square of the side length X by 6 since a cube has six faces. An example with X=2 gives the surface area S as 24 square units.
Explanation:The formula S=6x^2 in Mathematics is used to calculate the surface area of a cube. Each face of a cube is a square, and since a cube has 6 faces, this is why the surface area S is calculated as 6 times the square of the side length X. As an example if we have a cube with side length of 2 units (X=2), we can substitute X in the formula, giving us S=6*(2^2) = 24 square units, which is the total surface area of the cube.
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In the neighborhood park there is a circular grassy picnic area but half of the grass has died the city wants to replace the grass but needs to know the square footage of the damaged area if the circular picnic area is 150 feet across what is the square footage of the damaged area
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help me please i dont understand
Answers
Estimate the length of a sheet of notebook paper.
A. 24 mm
B. 2.4 cm
C. 24 cm
D. 2.4 mm
Answers
The required standard length of the paper of the notebook sheet is 24 cm. Option C is correct.
Given that,
To estimate the length of a sheet of notebook paper.
All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Here,
As per standard measurements, the length of the sheet of notebook paper for a standard notebook is 24 cm across the world.
This 24 cm is standardized as A4 size paper or A4 notebook.
Thus, The required standard length of the paper of the notebook sheet is 24 cm. Option C is correct.
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Simplify the expression. 6g + 12 – 4g + 5
Answers
6g - 4g + 12 + 5 Now combine them
2g + 17 Stop!!! Don't do any more.
Okay so we’re simplifying the expression here. Let’s calculate.
The answer is: 2g+17
Have a nice night!
~Brooke❤️
Sonia makes a wooden frame around a square picture. The frame is made of 4 congruent trapezoids. The shorter base is 9 in., the longer base is 12 in., and the height is 1.5 in. What is the area of the picture frame? PLEASE tell me why the answer is that answer.
Answers
Final answer:
The area of Sonia's picture frame is determined by calculating the area of one trapezoid with given dimensions and multiplying by four. The area of each trapezoid is 15.75 square inches, resulting in a total frame area of 63 square inches.
Explanation:
The area of Sonia's picture frame can be calculated by finding the area of one of the congruent trapezoids and then multiplying it by four, since there are four trapezoids making up the entire frame. The formula to calculate the area of a trapezoid is: Area = (1/2) × (base1 + base2) × height. In this case, the shorter base (base1) is 9 inches, the longer base (base2) is 12 inches, and the height is 1.5 inches. Substituting these values into the formula gives us: Area of one trapezoid = (1/2) × (9 in + 12 in) × 1.5 in = (1/2) × 21 in × 1.5 in = 15.75 in2. The total area of the frame is then four times this amount, which equals 63 in2. This answer explains how to calculate the area of a trapezoid and then applies the concept to find the total frame area.
A leaky pool loses 2 1/4 inches of water each day. Jermaine and Mildred are asked to determine the change in the amount of water in the pool over 5 days.
Jermaine’s Solution Mildred’s Solution
5(-2 1/4) 5(-2 1/4)
5(-2 -1/4) 5(-2 -1/4)
-10 -1/4 -10 -5/4
-10 1/4 -11 1/4
Which describes the reasoning used to determine whose solution is correct?
A. Jermaine is correct because -10 -1/4 equals -10 1/4.
B.Jermaine is correct because he distributed 5 correctly.
C.Mildred is correct because she multiplied 5 by –2 but not by -1/4.
D.Mildred is correct because she distributed 5 correctly.
Answers
5(-2 1/4) = 5(-2 + -1/4) = 5(-2) + 5(-1/4) = -10 + -5/4 = -10 + -1 1/4 = -11 1/4
Answer: D. Mildred is correct because she distributed 5 correctly.
Step-by-step explanation:
Since, the loss of water in one day = [tex]2\frac{1}{4}\text{ inches}[/tex]
⇒ The loss of water in 5 days = [tex]5(2\frac{1}{4})\text{ inches}[/tex]
⇒ The loss can be written with negative sign,
Thus, the expression that shows the changes in quantity of water in 5 days,
[tex]-5(2\frac{1}{4})[/tex]
[tex]=-5(2+\frac{1}{4})[/tex]
[tex]=5(-2-\frac{1}{4})[/tex]
[tex]=-10-\frac{5}{4}[/tex]
[tex]=-10-1\frac{1}{4}[/tex]
[tex]=-10-1-\frac{1}{4}[/tex]
[tex]=-11-\frac{1}{4}[/tex]
[tex]=-11\frac{1}{4}[/tex]
Since, the above steps are similar to that of Mildred's solution,
⇒ Mildred is correct.
Also, By the above explanation it is clear that jermaine incorrectly distribute 5 in his third steps.
⇒ Option D is correct.
The first six steps of the derivation of the Quadratic Formula are listed below, find the 7th,8th, and 9th steps
Answers
Final answer:
The derivation of the quadratic formula involves several steps, including identifying the unknown, identifying the knowns, choosing an equation, finding additional equations if necessary, solving simultaneous equations, eliminating terms, substituting known quantities, and checking the answer for reasonableness.
Explanation:
Derivation of the Quadratic Formula
Identify the unknown.Identify the knowns.Choose an equation, plug in the knowns, and solve for the unknown.Find an equation or set of equations that can help you solve the problem. If there is more than one unknown, additional equations may be necessary.Solve the simultaneous equations for the unknowns.Eliminate terms wherever possible to simplify the algebra.Substitute the known quantities, along with their units, into the appropriate equation and obtain numerical solutions complete with units.Check the answer to see if it is reasonable: Does it make sense?The seventh step is to take the square root of both sides. The eighth step is to isolate x by subtracting [tex]\(\frac{B}{2a}\)[/tex]. The ninth step simplifies the expression.
The seventh step is:
7. Take the square root of both sides to isolate x:
[tex]\[ x + \frac{B}{2a} = \pm \sqrt{\frac{b^2 - 4ac}{4a^2}} \][/tex]
The eighth step is:
8. Solve for x by subtracting [tex]\(\frac{B}{2a}\)[/tex] from both sides:
[tex]\[ x = -\frac{B}{2a} \pm \sqrt{\frac{b^2 - 4ac}{4a^2}} \][/tex]
The ninth step is:
9. Simplify and solve for x:
[tex]\[ x = \frac{-B \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]
This is the quadratic formula, which gives the solutions for the equation [tex]\( ax^2 + bx + c = 0 \)[/tex].
Can someone please help me
Answers
Plane 1: 12 game plan cost=$192
Cost of single game= 192/12 =$16
Plane 2: 28 game plan cost=$420
Cost of single game= 420/28 = $15
So plan 2 ( 28 games for $420) is the better plan .
Answer: 28 games for $420 is the better plan.
$192 / 12 = $16 a game
$420 / 28 = $15 a game
The 28-game plan is better value per game.
Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP
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polynomials can't have root variables. Nor can they be of the form 1/x. They can be monomials and there does not seem to be a restriction on numerical coefficients or numbers without variables
Polynomial is an expression of more than two algebraic terms.
So that makes 2, 3 and 6 polynomials
Edited Answer:
1) Binomials are included as polynomials
2) Variable must have power that is at least 1
Ans: 2, 3, 5, 6
(Apology for the mistake)
Which relationship describes angles 1 and 2?
Select each correct answer.
supplementary angles
complementary angles
vertical angles
adjacent angles
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how many rulers of 12-inches are needed to measure a door awnser
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Step 1
convert the dimensions of the door in cm to inches
we know that
1 in-------------> 2.54 cm
X----------------> 210 cm
X=210/2.54=82.67 in (height)
1 in-------------> 2.54 cm
X----------------> 80 cm
X=80/2.54=31.50 in (width)
the dimensions of a door are 31.50 in x 82.67 in
Step 2
calculate the amount of rules of 12-inches necessary to measure the height of the door
82.67 in (height)
if one rule-------------> measure 12 in
X----------------------> 82.67 in
X=82.67/12=6.8-----------> 7 rules
Step 3
calculate the amount of rules of 12-inches necessary to measure the width of the door
31.50 in (width)
if one rule-------------> measure 12 in
X----------------------> 31.50 in
X=31.50/12=6.8-----------> 2.62 ------------> 3 rules
the answer is
to measure a door are needed about 7 rules of 12-inches for the height and about 3 rules of 12-inches for the width
The local radio station played 9 hip-hop songs and 6 hard rock songs in one hour. What percent of the songs played during this hour was hip-hop?
Answers
Billy left home at 9 am and rode his bike to the park at an average speed of 10 miles per hour. He arrived at the park at 9:30 am. How many miles from the park is Billy’s home?
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Hope that helps.
10 miles per hour. half and hour is 30 minutes. half of ten miles is five
In m + 8, the variable m can have any value. Tell whether each statement is true or false. Then explsin your reasoning.
Answers
In algebra, the variable 'm' in the expression 'm + 8' can indeed take on any value; therefore, the statement is true because variables are meant to be placeholders for a wide range of numbers.
Explanation:In the expression m + 8, it is true that the variable m can have any value, which means that this expression does not impose any restrictions on the possible values of m. This type of statement involving a variable is common in mathematics, particularly in algebra where variables represent unknown quantities that can take on various values.
When evaluating statements for truth or false, the statement 'in m + 8, the variable m can have any value' is true. Variables, by their nature, are symbols that can represent any number, so unless specific limitations are given, we assume variables to have the full set of numbers (real numbers, integers, etc.) as potential values.
A circular racetrack
has a diameter of 1/2 mile. How far does a car travel in one lap aroiund the track? Round to the nearest tenth.
Answers
Diameter is given, but the formula requires the radius.
Radius= diameter ÷ 2= 1/2 ÷ 2= 1/2 * 1/2= 1/4= 0.25
C= circumference
π= 3.14
C= 2πr
substitute in numbers
C= 2(3.14)(.25)
C= 1.57 rounded to 1.6 miles
ANSWER: 1.6 miles
Hope this helps! :)
PLEASE HELP!!! NEED HELP ASAP!! EXTRA POINTS TO THE FIRST PERSON TO ANSWER!!
a school is constructing a new tennis courts. each rectangular court will, be enclosed by a 600 ft fence. the length of the rectangular region will be 60 ft longer than the width. what are the dimensions of the new courts? use an equation or a system of equations to explain how you determined your answer.
Answers
L = 60 + w
L = 180
W = 120
180 - 120 = 60
180(2) + 120(2) = 600
Use the given conditional statement to determine the converse and inverse statements. If a line is vertical, then it has undefined slope.
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1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:
conditional statement: p → q
inverse: ~p → ~q (the symbol ~ means the negation)
1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:
conditional statement: p → q
converse: q → p
2) converse of the given statement
conditional: If a line is vertical, then it has undefined slope.
converse: switch the hypothesis and the conclusion
if a line has undefined slope, then it is vertical <------- answer
3) Inverse of the given statement
conditional: if a line is vertical, then it has undefined slope.
inverse: negate both hypothesis and conclusion.
if a line is not vertical, then it does not have an undefined slope <---answer
1.) if the line has an undefined slope, then it is a verticle line.
2.) if the line is not vertical then it does not have an undefined slope
Please help! How many inches is this?
Answers
8.5^2 + 11^2 = c^2
72.25 + 121 = 193.25
sqrt of 193.25 = 13.9
13.9 inches
Evie has scores of 72, 78, 80 And 84 On four Science quizzes. What score must she get on the next quiz to have an average of at least 80?
Answers
(72+78+80+84+x)/5=80
*5 *5
72+78+80+84+x=400
314+x=400
-314 -314
x=86
Evie needs to get a score of 86 on her next science quiz.
the local chess club has 60 member. 24 of them are younger than twenty. what percent of members of the chess club are younger than 20
Answers
24/60
Simplify by dividing the numerator and denominator by the GCF, 12:
2/5
Percentages are parts of 100, so we want to get 100 in the denominator to find the percentage. 100 / 5 = 20, multiply numerator and denominator by 20:
40/100
This is 40 parts of 100 or 40%.
So 40% of the members of the chess club are younger than 20.
The local chess club has 60 members and 24 of the members are younger than 20. What percent of members are younger than 20?
The fraction [tex]\frac{24}{60}[/tex] represents the 24 members that are younger than 20 out of all the members in the club.
To find out what percent of members are younger than 20, we can turn [tex]\frac{24}{60}[/tex] into a percent.
We can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 24 and 60 using 12.
24 ÷ 12 = 2
60 ÷ 12 = 5
Now, we have our reduced fraction which is [tex]\frac{2}{5}[/tex].
2 ÷ 5 = 0.4
0.4 × 100 = 40%
Therefore, 40% of the chess club members were under 20.
Find tan(Q). A. 1/2 B. 2/2 C. 1 D. Cannot be determined
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Answer:
C.
Step-by-step explanation:
3.25 tons converted to pounds
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The answer is 6,500 pounds.
To convert tons to pounds, you can use the conversion factor that 1 ton is equal to 2,000 pounds. So, to convert 3.25 tons to pounds:
Multiply 3.25 tons by 2,000 pounds/ton to get the answer in pounds.3.25 tons * 2,000 pounds/ton = 6,500 pounds.Therefore, 3.25 tons is equal to 6,500 pounds.
How many different triangles can be drawn with one 60° angle and two sides measuring 2 inches each?
Answers
A farm is to be built in the shape of Quadrilateral ABCD as shown belo all fou sides are equal A = 13.2 feet B= 15.5 feet
Answers
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