Answer:
it takes 110 minutes
Step-by-step explanation:
Answer:
it takes approximately 110 minutes
n^2-2n-3=0 complete the square method
Answer:
n = - 1 , n = 3
Step-by-step explanation:
n² - 2n - 3 = 0 ( add 3 to both sides )
n² - 2n = 3
to complete the square
add ( half the coefficient of the x- term)² to bpth sides
n² + 2(- 1)n + 1 = 3 + 1
(n - 1)² = 4 ( take square root of both sides )
n - 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 1 to both sides )
n = 1 ± 2
Then
n = 1 - 2 = - 1
n = 1 + 2 = 3
18 9/10 + 8 3/10 ?????.....
27 2/10
or
27 1/5
----------------------------------
What number would you need to multiply the first equation by to eliminate the y variable when solving the system of equations by elimination?
We would need to multiply the first equation by -4 to eliminate the y variable when solving the system of equations by elimination.
The first equation is: 3x + 4y = 5
To eliminate the y variable when solving the system of equations by elimination, we need to multiply the first equation by -4. This is because when two equations are multiplied by the same number, any terms that have the same variable will be eliminated when the equations are added together.
Formula:
3x + 4y = 5
-4(3x + 4y = 5)
3x + 4y = 5
-12x - 16y = -20
Thus, we would need to multiply the first equation by -4 to eliminate the y variable when solving the system of equations by elimination.
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How do I do this ? Because I’m having trouble with problems like this .
Answer:
[tex]\sqrt[3]{x^{9} x}[/tex]
Step-by-step explanation:
When you are multiplying powers that have the same bases (in this case x) you add the exponents. If you do not see an exponent, the exponent is 1.
9 + 1 = 10
Select all of the equations below in which a is directly proportional to b.
a=b²
b
= 1/1/20
a=
2
a= ²
b
a=2b
a=b+2
The equations which show direct proportion between a and b are:
a=2b and a=b/2.
What is direct proportion?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝. In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.
Example: x and y are two quantities or variables which are linked with each other directly, then we can say x ∝ y. When we remove the proportionality symbol, the ratio of x and y becomes equal to a constant, such as x/y = C, where C is a constant.
Given, two variables a and b
If two variables a and b are in direct proportion
then,
a/b = constant.
1. a = b²
a/b = b
which is not constant
⇒ a is not in direct proportion with b.
2. a = 2b
a/b = 2
which is constant
⇒a is in direct proportion with b.
3. a = b/2
a/b = 1/2
which is constant
⇒ a is in direct proportion with b.
4. a=b+2
a/b = 1+2/b
which is not constant
⇒ a is not in direct proportion with b.
5. a = 2/b
ab = 2
⇒a is inversely proportional to b.
Hence, In equation a=2b and a=b/2, a is directly proportional to b.
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Solved previously.How many three-digit positive integers $x$ satisfy $3874x 481\equiv 1205 \pmod{23}$
The solution indicates 40 positive three-digit integers of this kind are available.
What are Positive integers?The numbers used for counting as well as organizing are known as natural numbers in mathematics. Cardinal numbers and ordinal numbers are two different types of numbers that are used for counting and ordering, respectively.
Which of these integers are negative?Left of zero on the number line, a negative number is an integer. It is not zero, though.
According to the given information:Any solution x will mod 23 will also have x+23n as a solution, for some integer n.
Since;
900/23 = 39 3/23,
we know:
There are 39 or 40 three-digit integers of this form.
As it happens,
100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n,
hence 40 solutions to the equation.
The equation reduces, mod 23, to
10x = 11
Its solutions are x = 23n +8.
This shows There are 40 three-digit positive integers of this form.
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Jay wants to go paddleboarding at least 8 hours each week. If he averages 2 hours per day, write and solve an inequality to find how many days he will have to go kayaking.
An inequality to find how many days he will have to go kayaking. is; d ≥ 4
How to solve Inequality word problems?We are told that Jay wants to go paddle boarding at least 8 hours each week. This means greater than or equal to 8. That is the minimum number of hours each week is 8 hours.
Now, we are told that he averages 2 hours per day. If the number of days is given by d, then we have the inequality as;
2d ≥ 8
Divide both sides by 2 to get;
d ≥ 4
That is the domain of the number of days required to go kayaking
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Is a polynomial yes or no?
we can find out the polynomial by the degree of the Polynomial.
Polynomial
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division
Degree of polynomial
The degree of a polynomial is defined as the highest exponent of a monomial within a polynomial. Thus, a polynomial equation having one variable which has the largest exponent is called a degree of the polynomial.
Types of polynomial
Depending upon the number of terms, polynomials are divided into the following categories:
1-Monomial
2-Binomial
3-Trinomial
4-Polynomial containing 4 terms (Quadronomial)
5-Polynomial containing 5 terms (pentanomial ) and so on.
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The graph of a proportional relationship contains the point (-12, 3)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling In the boxes.
y= __/__ x
The corresponding equation of the proportional relationship will be;
⇒ y = - 1/4x
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The graph of a proportional relationship contains the point (-12, 3).
Now,
Let the equation of the proportion is,
⇒ y = kx
Where, 'k' is constant of proportion.
Since, The graph of a proportional relationship contains the point (-12, 3).
Hence, Substitute x = 0 12 and y = 3 in above equation we get;
⇒ 3 = k × - 12
⇒ 3 / (-12) = k
⇒ k = - 1/4
Thus, The equation of the proportion is,
⇒ y = - 1/4x
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What is the factor of 3x² 12xy?
The factor of expression 3x² 12xy is 3x². To find the factor, we need to divide 12xy by 3x². We start by dividing the coefficients, 12 divided by 3 is 4. Then we divide the x terms, x divided by x is 1. Finally, we divide the y terms, y divided by y is 1. Therefore, the factor of 3x² 12xy is 3x².
The factor of expression 3x² 12xy is 3x². To find the factor, we need to divide 12xy by 3x². We start by dividing the coefficients, 12 divided by 3 is 4. Then we divide the x terms, x divided by x is 1. This means that the x part of the factor is 3x. Next, we divide the y terms, y divided by y is 1. This means that the y part of the factor is y. When we combine the two parts, 3x and y, we get the factor of 3x². Therefore, the factor of 3x² 12xy is 3x². This means that 3x² is a factor of 12xy, which can be seen by multiplying 3x² by 4y, which results in 12xy. This shows that 3x² is a factor of 12xy.
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Fill in the blank question.
Miss Wade's science class of 20 students is going on a field trip to the zoo. Each student will also take a train ride around the zoo. Mr. Sexton's class of 25 students is going on a field trip to the state park and will take a canoe trip. Admission to the zoo is twice that of the state park's entry fee as shown in the table. Each group will spend the same total amount of money.
Answer:
The total cost of the science class trip to the zoo is $1200
Step-by-step explanation:
The cost of the science class trip to the zoo is $1200, and the cost of Mr. Sexton's class trip to the state park is $1000.
Find the gradients of lines A and B.
Answer: The Gradient of line A and B are
2 and -1
Step-by-step explanation:
For the given two points A(x1, y1) and B(x2, y2)
The gradient of the line AB is y2-y1/x2-x1
So the gradient of line A is
5-1/2-0
2
the gradient of line B is
5-0/0-5
-1
0.2(x+50)-6=0.4(3x+20)
Answer:
2
Step-by-step explanation:
0.2(x+50)-6=0.4(3x+20) multiply both sides by 10 to clear the decimals
2(x + 50) = 4(3x + 20) distribute across the terms in the parentheses
2x + 100 = 12x + 80 subtract 80, 2x from both sides
20 = 10x divide both sides by 10
x=2
what's 1/2r+3<6 two step inequalities
Answer:
r < 6
Step-by-step explanation:
[tex] \implies \dfrac{1}{2}r + 3 < 6[/tex]
[tex] \implies \dfrac{r}{2} < 6 - 3[/tex]
[tex] \implies \dfrac{r}{2} < 3[/tex]
[tex] \implies r < 3 \: \cdot \: 2[/tex]
[tex] \implies \underline{ r < 6}[/tex]
What is a perfect 1st interval?
A perfect interval which identifies the distance between the first note of a major scale and given unison, 4th, 5th or either the octave. Those given intervals can be given in the extra theoretical name as “perfect”.
Perfect intervals has only basic form. The first (also called prime or unison), fourth, fifth and eighth (or octave) are all known as perfect intervals. These intervals are known as "perfect" since these types of intervals sound and they provide the certain frequency ratios which are simple as whole numbers. Perfect intervals sound "perfectly consonant" . that means which are played together, there is a sweet tone to the interval. It sounds perfect or resolved. Whereas, a dissonant which sounds and feels tense and in need of their resolution.
Interval qualities are classified as major, minor, harmonic, melodic, perfect, augmented, and diminished. since ,lower a perfect interval by a half step it becomes a diminished and when it is raised it to a half step it becomes augmented of an interval .
When it is in lower and provides a major non-perfect interval a half step and it becomes a minor interval then if we raise it to a half step it becomes augmented level then if we raise to lower a minor interval by a half step it becomes diminished level , then if we raise a minor level interval a half step it becomes a major level interval.
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Coach Brown buys packs of Gummi Bears at $0. 60 and resales them at $1. 0. At what percent did he mark the candy up?
A. 10. 47
B. 3. 59
C. 9
D. 67
E. 69
F. 10. 25
If the coach buys the packs of Gummi Bears at $0.60 and resales them at $1 , then the percent markup for the candy is (d) 67% .
The price for which the Coach buys Gummi Bears is = $0.60 ;
the price at which the Coach resales them is = $1 ;
So , the Markup is the difference in the price of purchase and price of resale of the candy ,
that means ; the [tex]Markup = \$1 - \$0.60[/tex] ;
= $0.4
So , the Percent Markup is = [tex]\frac{0.4}{0.6} \times 100[/tex]
= 66.66666...
≈ 67% .
Therefore , the percent Markup for the Candy is 67% .
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A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of five brand new words that are related to words that were on the original list. Students were also asked to provide their GPAs. Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for the number of incorrectly identified related words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages
The proportion and percentage is as follows;
[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & 0.34 & 34 \% \\ 5-6 & 50 & 0.32 & 32 \% \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]
What is the difference between proportions and percentages?A percentage represents a ratio or fraction with a denominator that is always 100 as opposed to a proportion, which asserts the equivalent of two ratios or fractions.
Given
[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & & \\ 5-6 & 50 & & \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]
To estimate the total frequency:
Total = sum f
Total = 29 + 53 + 50 + 22 + 1
Total = 155
The proportion (p) exists calculated by:
[tex]$p = \frac{f}{\text { Total }}[/tex]
The percentage (P) exists calculated by:
P = p × 100 %
For interval 7 - 8, we have:
p = 53 / 155 = 0.34
P = 0.34 × 100 % = 34 %
For interval 5 - 6, we have:
p = 50 / 155 = 0.32
P = 0.32 × 100 % = 32 %
So, the complete table is:
[tex]$\begin{array}{cccc}\text { Score Interval } & f & \text { Proportion } & \text { Percentage } \\ 9-10 & 29 & 0.19 & 19 \% \\ 7-8 & 53 & 0.34 & 34 \% \\ 5-6 & 50 & 0.32 & 32 \% \\ 3-4 & 22 & 0.14 & 14 \% \\ 1-2 & 1 & 0.01 & 1 \%\end{array}$[/tex]
The complete question is:
A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student volunteers to perform an online memory task. The students saw a list of 60 words and were then asked to recognize a list of five brand new words that are related to words that were on the original list. Students were also asked to provide their GPAs.
Consider the following data set, which was collected from student volunteers in 2009. The table gives the frequency for the number of incorrectly identified related words. Use the dropdown menus to complete the table by filling in the missing values for the proportions and percentages.
Score Interval f Proportion Percentage
9â10 29 0.19 19%
7â8 53
5â6 50
3â4 22 0.14 14%
1â2 1 0.01 1%
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a club treasurer is solving a problem using the expression shown. -23.50 + 5 which problem is the treasurer MOST LIKELY solving? A. There is a club member who pays 23.50$ in dues each month for 5 months. What is the total amount, in dollars, that the member pays in dues? B. There are 5 club memebers who each owe the club 23.50$ in dues. What is the total balance, in dollars, of the members accounts? C. a total of 23.50$ in dues is owed to the club. There are 5 club memebrs who each owe the same account in dues. What is the amount, in dollars, that each member owes in dues? D. A total of 23.50$ in dues is owed to the club. There are 5 club members who each owe the same amount in dues. What is the balance,in dollars, of each members account?
When the treasurer is solving a problem using the expression shown. -23.50 ÷ 5, the problem that the treasurer is lost likely solving is D. A total of -$23.50 in dues is owed to the club. There are 5 club members who each owe the same amount in dues. What is the balance,in dollars, of each members account?
How to illustrate the expression?From the information, the club treasurer is solving a problem using the expression shown. -23.50 ÷ 5. An expression show the relationship between the variables.
In this case, a total of $23.50 in dues is owed to the club. There are 5 club members who each owe the same amount in dues.
The correct option is D.
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Write a rule to describe each transformation.
J(2, 2), (3, 4), H(4,3), G(3,0)
to
J'(-1,2), I'(0, 4), H'(1, 3), G'(0, 0)
The only difference is a -2 in x in 1 transformation in 2 transformation. The function is shifted up by b units with f (x) + b.
what are transformations ?Transformations can be divided into four categories: translation, reflection, rotation, and dilation. Rotate, reflect, or translate the geometric figures on a coordinate plane. The label given to a function, f, that maps to itself is the transformation, or f: X X. The pre-image X is transformed into the picture X after the transformation. It is possible to utilize any operation, or a combination of operations, in this transformation, including translation, rotation, reflection, and dilation.
given
J(2, 2), (3, 4), H(4,3), G(3,0) to J'(-1,2), I'(0, 4), H'(1, 3), G'(0, 0)
in 2 transformation as the only change is that -2 in x in 1 transformation
The function is shifted up by b units with f (x) + b.
The function is shifted downward by b units when f (x) b.
The function is moved left by b units when f (x + b) is used.
The function is moved right b units by the expression f (x b).
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Which shows the given inequalities in slope-intercept form? y < four-fifthsx – one-fifth y < 2x 6 y > four-fifthsx – one-fifths y < 2x 6 y > negative four-fifthsx one-fifth y > 2x 6
y < 4/5x - 1/5 ,y > -4/5x + 1/5, y < 2x + 6, y > 2x + 6 are all in slope-intercept form
The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.
so the given equation are also in the form of slope intercept form
y < 4/5x - 1/5
y > -4/5x + 1/5
y < 2x + 6
y > 2x + 6
are all in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.
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Let's say you accepted a part-time job working in a bakery. The baker sells a bag of rolls containing 13 rolls (or a
baker's dozen). The baker made 158 rolls before leaving for the evening. He asks you to make sure each roll is
packaged before going home. What is the greatest number of bags you will need, and should you try to sell any
extra rolls so as not to have leftovers?
Answer:
52 bags and 2 extra
Step-by-step explanation:
Simply divide the no. of rolls by no. of rolls per bag
Answer:
12 bags
Step-by-step explanation:
158 rolls ÷ 13 rolls/bag = 12.15 bags
You will have 12 full bags plus about 2 extra rolls left over, which you can try to sell separately or as a "pack" of 2. Or, you can sell one overstuffed bag with 2 extra rolls in it (for a total of 15 rolls) for a little extra on the price.
What do () mean in math?
Parentheses are employed to indicate changes to the usual order of operations.
Define round brackets.The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.
Mention other brackets as well.{}, [] are other type of brackets.
In mathematical expressions, parentheses are employed to indicate changes to the usual order of operations (precedence rules). In an expression like, the portion of the expression enclosed in parentheses,, is first assessed, and the outcome is then incorporated into the remaining portions of the expression.
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The scale drawing of a building has a height of 10 centimeters. The actual building is 20 feet high. How many centimeters in the scale drawing represent one foot on the actual building?
a. 1/2
b. 30
c. 10
d. 2
Answer: 1/2
Step-by-step explanation:
The question is asking you to find how many centimeters in the scale drawing equal 1 foot on the actual building. The answer will be 1/2 because 1 centimeter is equal to 2 feet in reality. But since we want to know the answer of how many centimeters is in 1 foot, we will divide that in half, to get an answer of 1/2 centimeter, or A.
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What is the reflection point of (- 3/4 across the line y 2?
According to the following graph, the reflection point of (-3,4) across the line y = 2 is (-3,0).
The term reflection point in math is defined as
Here we need to find the reflection point of (-3, 4) across the line y = 2.
Here first we have t plot the point on the graph, and then we have to plot the line equation y = 2 on the graph,
Here in order to find the reflection of a point along the x-axis, then we have to keep the abscissa constant and see the reflection of ordinate along the x-axis.
Based on these rule, the resulting graph is obtained as follows.
Through the graph we have identified that the resulting reflection point is (-3,0).
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What is the answer of 2x^2 4x 6 0?
The answer of the equation "2x^2 - 4x - 6 = 0" is -1 and 3.
The equation is solved using factorization:
2x^2 - 4x - 6 = 0 , given equation
2x^2 - 6x + 2x - 6 = 0 , factorizing
2x(x - 3) + 2 ( x - 3 ) = 0 , taking 2x common from the first two terms and 2 common from the last two terms
(2x + 2) (x - 3) = 0
now solving further
( 2x + 2 ) = 0 & ( x - 3 ) =0
2x = (0 - 2) , x = (0 + 3)
2x = (-2) , x = 3
x = (-2/2)
x = -1
Thus, the equation gives the solution as x = -1 and x = 3.
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How do you plot 1 3 on a graph?
By drawing a number line and then marking it as 0 and 1, and by dividing the distance in 3 equal parts we can graph 1/3 on the number line, where each part will be equal to the 1/3.
A number line is a diagram of a graded straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present.
For drawing 1/3 on a number line, we will follow the following steps:
We will first draw a line and mark 0 and 1 on it.
In between 0 and 1, we will divide the total distance into 3 equal parts, where one part will represent (1/3)th portion.
Hence. by marking there we can locate 1/3 on the number line.
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The correct question may be like:
How do you plot 1/3 on a graph.
What is step 3 in problem solving?
Step 3 is Define the problem Goals.
there are 8 steps, which are as follows,
1- Define the Problem
2- Clarification of the Problem
3- Define the problem Goals
4- Identify main Cause of the Problem
5- Develop a Action Plan
6- Execute that Action Plan
7- Analyze the Results
8- Continuous Improvements
Problem solving
Problem solving is the method of determining the problem and then clarify the doubts and prepare a action plan and then execute the action plan and find out the desired results and if the results are not appropriate then improve the action plan and your way of doing until you get the desired results.
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The function m(L)=0. 00001L3 gives the mass m in kilograms of a red snapper of length L centimeters. Determine the function that gives the length L in centimeters of a red snapper as a function of its mass m in kilograms. Then find the length of a four-year-old snapper that weights about 1. 5 kilograms
Therefore , the solution of the given problem of area comes out to be AB/DC =5 Imagine that your square is made out of more compact unit squares.
What is area?Area is the quantity that describes how much space .A surface or an object's shape occupy. Use a pencil to mark a square on the paper. Specifically, a 2-D figure. A shape's area on paper is referred to as its "Area" in this sentence. Imagine that your square is made out of more compact unit squares.
Since the heights of both trapezoids are equal, and the area of ABEF is twice the area of FECD, AB+ EF/2 = 2(DC+EF /2) AB + EF / 2= DC + EF,
AB + EF = 2DC + 2EF. EF is exactly halfway between AB and DC, so EF = AB + (AB+ DC)/2 = 2DC+ AB + DC, so 3/2 AB + 1/2DC = 3DC+AB, 1/2AB =5/2DC => AB/DC =5 Therefore , the solution of the given problem of area comes out to be AB/DC =5.
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Help please yes ok lol
a. The ratio of rows of corn to beans is 13 : 12 or 13/12 or 13 to 12.
b. The ratio of rows of lettuce to the total number of rows in the garden is 5 : 52 or 5 to 52 or 5/52.
a. The ratio using the word 'to' is corn to beans.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
We know a ratio between a and b can be written as a : b, a/b or a to b.
From the given information the ratio of rows of corn to beans is,
corn/beans = 13/12 Or 13 : 12 Or 13 to 12.
The ratio of rows of lettuce to the total number of rows in the garden is,
lettuce/total number of rows in the garden = 5/52 Or 5 : 52 Or 5 to 52.
The ratio using the word 'to' is corn to beans.
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The ruthless queen has asked the royal pharmacist to create a concoction which will straighten her curly hair. If the pharmacist combines a mixture containing 10% milkweed with another mixture containing 50% milkweed to create a 5 ounce mixture containing 30% milkweed, how many ounces of the 10% mixture will the pharmacist use?
The pharmacist utilized a 10% percentage mixture, according to the solution, in a quantity of 2 ounces.
The formula for calculating percentages?To calculate the percentage, we must first determine the value's ratio to the sum of its parts. We must then multiply the result by 100.
Since when do we utilize percentages?Comparing two quantities while rebasing the second quantity to 100 is the most fundamental use of percentages. If the proportion of employed women who are women is of relevance to us, let's say.
According to the given information:We are aware that m = CV, where
V = volume and c = concentration
Let
M is equal to 6.5%, m' is equal to 7.9%, and m = 3.7%.
It is known that m + m' = M.
where cv + c'v' = CV
Since cv + c'v' = CV, the formula is:
c = 3.7% concentration = 0.037;
v = volume of 3.7% = 1 ounce;
c = 7.9% concentration = 0.079;
v' = volume of 7.9%;
C = 6.5% concentration = 0.065;
and V = volume of 6.5% = v + v'
We obtain by altering the values of the variables in the equation
3.7% × 1/3.7% + 7.9 %v' = 6.5%(v + v')
3.7% + 7.9 %v' = 6.5%(1 + v')
3.7% + 7.9 %v' = 6.5% + 6.5%v'
7.9%v' - 6.5%v' = 6.5% - 3.7%
1.4%v' = 2.8%
v' = 2.8%/1.4%
2 ounces are v'.
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