If;
[tex]\frac{x}{11}=a[/tex] and[tex]\frac{y}{11} =b[/tex]then these variables must meet the following conditions below;
[tex]a+b=\frac{7}{11}[/tex][tex]a-b=\frac{3}{11}[/tex]In rational expressions (fractional numbers), if the denominators are equal, arithmetic operations are performed with the numerators. Therefore;
[tex]x+y=7[/tex][tex]x-y=3[/tex]If we add both equations at the same time, we get the following result;
[tex]x+y+x-y=7+3[/tex][tex]2x=10[/tex][tex]x=5[/tex]Now that we have found the unknown x, we can find the unknown y.
[tex]x+y=7[/tex][tex]5+y=7[/tex][tex]y=2[/tex]Now let's write our fraction pairs.
[tex](\frac{5}{11},\frac{2}{11} )[/tex]Answer:
[tex]\frac{5}{11}[/tex] and [tex]\frac{2}{11}[/tex]
Step-by-step explanation:
let the 2 fractions be x and y , x > y , then
x + y = [tex]\frac{7}{11}[/tex] → (1)
x - y = [tex]\frac{3}{11}[/tex] → (2)
add the 2 equations term by term to eliminate y
2x + 0 = [tex]\frac{10}{11}[/tex]
2x = [tex]\frac{10}{11}[/tex] ( divide both sides by 2 )
x = [tex]\frac{5}{11}[/tex]
substitute x = [tex]\frac{5}{11}[/tex] into (1) and solve for y
[tex]\frac{5}{11}[/tex] + y = [tex]\frac{7}{11}[/tex] ( subtract [tex]\frac{5}{11}[/tex] from both sides )
y = [tex]\frac{2}{11}[/tex]
the pair of fractions are [tex]\frac{5}{11}[/tex] and [tex]\frac{2}{11}[/tex]
A quadratic function passes through the points (−3, 20), (0,−1), and (2, 15).
What is the equation of the function in standard form?
A) f(x)=3x^2−x−2
B) f(x)=3x^2−x+2
C) f(x)=3x^2+2x−1
D) f(x)=3x^2−2x−1
The quadratic equation in standard form is y = 3 · x² + 2 · x - 1. (Correct choice: C)
How to derive the quadratic equation associated with a set of three points
In accordance with the fundamental theorem of algebra, a quadratic function can be found by knowing three distinct points. Quadratic functions are polynomials of the form, known as standard form:
y = a · x² + b · x + c
Where a, b, c are real coefficients.
If we know that (x₁, y₁) = (- 3, 20), (x₂, y₂) = (0, - 1) and (x₃, y₃) = (2, 15), then the coefficients of the polynomial are found by numerical methods:
9 · a - 3 · b + c = 20
c = - 1
4 · a + 2 · b + c = 15
The solution to the system of linear equations is (a, b, c) = (3, 2, - 1). The equation is y = 3 · x² + 2 · x - 1.
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Here are Ryan's scores in nine French tests.
4
6
4
7
8
a
6
7
7
The mean of Ryan's nine scores is 6
Work out the value of a.
Answer:
a = 5
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
= [tex]\frac{4+6+4+7+8+a+6+7+7}{9}[/tex] = 6 ( multiply both sides by 9 to clear fraction )
49 + a = 54 ( subtract 49 from both sides )
a = 5
how do i solve this? |34a−3|=9
tell if the lines are parallel, perpendicular or neither
a- 3x–4y =6 and 3y= –4x+9
b- y= 1⁄2x–7 and 6x–12y = 24
A. The lines with equation 3x - 4y = 6 and 3y = -4x + 9 are perpendicular
B. The lines with equation y = 1⁄2x - 7 and 6x - 12y = 24 are parallel
How do I determine if the lines are parallel or perpendicular?From the equation of lines, we can detect if they are parallel or perpendicular as follow:
Parallel lines have the same slope (or gradient). Thus, m₁ = m₂Perpendicular lines have slope that have the following property: m₁ × m₂= -1With the above information, we can obatin the answer to the questions. Details below
For question A.
We shall determine the slope of each line. This can be obtained as follow:
3x - 4y = 6
Rearrange
4y = 3x - 6
y = 3/4x - 6/4
Comparing y = 3/4x - 6/4 with y = mx + c, the slope is 3/4
3y = -4x + 9
y = -4/3x + 9/3
Comparing y = -4/3x + 9/3 with y = mx + c, the slope is -4/3
Slope (m₁) of 3x - 4y = 6 is 3/4Slope (m₂) of 3y = -4x + 9 is -4/3m₁ × m₂
3/4 × -4/3 = -1
Thus, we can say: 3x - 4y = 6 and 3y = -4x + 9 are perpendicular
For question B.
We shall determine the slope of each line. This can be obtained as follow:
y = 1/2x - 7
Comparing y = 1/2x - 7 with y = mx + c, the slope is 1/2
6x - 12y = 24
Rearrange
12y = 6x - 24
y = 6/12x - 24/2
y = 1/2x - 12
Comparing y = 1/2x - 12 with y = mx + c, the slope is 1/2
Slope (m₁) of y = 1/2x - 7 is 1/2Slope (m₂) of 6x - 12y = 24 is 1/2m₁ = m₂
Thus, we can say: y = 1/2x - 7 and 6x - 12y = 24 are parallel
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Please answer number 8.
Answer:
Step 2
Step-by-step explanation:
In basic algebra, if one side is positive then you must subtract on both sides, and if one side is negative then you must add on both sides to isolate the x variable.
A boy scout has 3 meters of rope. He cuts rope into cords ⅗ meters long. How many cords will he make?
Number line please.
Answer:
5
Step-by-step explanation:
If he wants to cut it into 3/5 meters long then each rope is 0.6 meters long.
3/0.6 = 5
Anupa's favorite fraction is equal to $\frac{5}{3}$. The sum of the numerator and denominator of Anupa's favorite fraction is $160$. What is the difference between the numerator and denominator of Anupa's favorite fraction?
The difference between the numerator and denominator of the fraction parameters is 40
How to determine the difference between the fraction parameters?From the question, the fraction is given as
5/3
The above fraction can be represented as
5x/3x
This is so because of the following equation
5x/3x = 5/3
The above is calculated by dividing the numerator and the denominator by the common factor x
Solving further, we have
Sum of the numerator and denominator = 160
This means that
5x + 3x = 160
Evaluate the sum in the above equation
So, we have
8x = 160
Divide both sides of the fraction by 8
So, we have
x = 20
The required difference is represented as
Difference = 5x - 3x
Evaluate
Difference = 2x
Substitute x = 20 in Difference = 2x
So, we have
Difference = 2 x 20
Evaluate
Difference = 40
Hence, the difference between the fraction parameters is 40
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Ahmed recorded a temperature drop of 2 degree F and a second temperature drop of 3 degree F. What is the total change in temperature?
Answer:
a drop of 5 degree F, or -5 °F
Step-by-step explanation:
You want to know the total change in temperature after a drop of 2 degree F and a second temperature drop of 3 degree F.
ChangeThe total change will be the sum of changes.
We can figure the total drop in temperature as the sum of drops:
2 °F +3 °F = 5 °F . . . . the total drop in temperature
If we use negative values to represent temperature drops, then the total change can be written as ...
(-2 °F) +(-3 °F) = -5 °F . . . . . the total change in temperature
__
Additional comment
We often find it convenient to use negative numbers to represent decreases, drops, amounts below some reference level, and so on. Positive numbers can be used for the same purpose if we define the meaning of a positive number in the context.
Here, we can identify a temperature drop by saying it is a drop of 5 degrees, where a positive temperature drop means a change to a lower value. Or, we can say it is a change of -5 degrees, where a positive change is defined as a change to a higher value.
Defining the meaning of positive and negative numbers is especially important when an "improvement" is a reduction in some value (cost, for example). A positive improvement may mean a negative change, and vice versa.
Describe the error in finding the distance between A(6, 2) and B(1,-4). X AB = V(6-2)2 +[1-(-4)] = 142 +52 = V 16 + 25 = 141
The distance between two points can be calculated using the formula;
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]For points;
[tex]A(x_1,y_1)\text{ and B}(x_2,y_2)[/tex]Given the points;
[tex]\begin{gathered} A\left(6,2\right)and \\ B\left(1,-4\right) \end{gathered}[/tex]The distance between the two points can be calculated using the above formula;
[tex]\begin{gathered} AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} \\ AB=\sqrt{(-4-2)^2+(1-6)^2} \\ AB=\sqrt{(-6)^2+(-5)^2} \\ AB=\sqrt{36+25} \\ AB=\sqrt{61} \end{gathered}[/tex]The distance between the two points is;
[tex]AB=\sqrt{61}=7.81[/tex]Khadija is trying to pick out an outfit for the first day of school. she can choose from 2 pairs of pants, 2 t-shirts, and 6 pairs of shoes. how many different outfits does khadija have to choose from?
Using the Fundamental Counting Theorem, it is found that Samantha has 24 different outfits to choose from.
What is the Fundamental Counting Theorem?
It is a theorem that states that if there are n things, each with n1 ,n2 , n3, ..... nn ways to be done, each thing independent of the other, the number of ways they can be done is:
N= n1*n2*n3.....nn
In this problem:
For the pants, there are 2 options, hence n1=2 .
For the t-shirts, there are 2 outcomes, hence n2=2.
For the shoes, there are 9 outcomes, hence n3=6.
Thus, the total number of outfits is given by:
N = 2 x 2 x 6 = 24.
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5. Ramya exercises every 8 days and Deepika every 4 days • Ram and Deepike exerised today. After how many days they exercise together again?
Using LCM, Ramya and Deepika will exercise together after 8 days.
How do I figure out LCM?Step 1: Use the repeated division method to identify the prime factors of the supplied numbers.
Write the numbers in exponent form in step two. Only those prime factors' product with the highest power should be sought.
Step 3: The LCM of the provided numbers is the product of these factors with the highest powers.
Factors of 8 = 2 × 2 × 2
Factors of 4 = 2 × 2
LCM of 8 and 4 = 8
∴ Ramya and Deepika will exercise together after 8 days.
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Correct Question -
Ramya exercises every 8 days and Deepika every 4 days • Ramya and Deepika exerised today. After how many days they exercise together again?
What is the point of (7.0) after translation right 2 units and up 1 unit?
Answer:
(9, 1 )
Step-by-step explanation:
a translation 2 units right means add 2 to the x- coordinate
a translation of 1 unit up means add 1 to the y- coordinate.
(7, 0 ) → (7 + 2, 0 + 1 ) → (9, 1 )
Write an inequality statement comparing m and n. Using complete sentences, explain how you know that your inequality is true.
The inequality statement comparing m and n is m > n.
The inequality is true because m is further along the number line than n
What is an inequality?It should be noted that an inequality is simply used to express the information given hat aren't equal.
Based on the number line that's drawn we came we that is close to 3 and n is close to 1.
Therefore, this shows that m is greater than n.
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expressions for 50-42+10
Answer: look it up on calculator
Step-by-step explanation:
What is the solution to -(5m+11) = 3 (m - 41)
Answer:
m = 14
Step-by-step explanation:
-(5m+11) = 3 (m - 41)
-5m -11 = 3m - 123
-5m -3m = -123+11
-8m = -112
m = -112/-8
m = 14
a set of license plates has three letters followed by 5 digits. (a) in how many ways can a license plate be made with three letters followed by 5 digits? (letters or digits may be repeated.)
The license plate can be made in 1,757,600,000 ways
For the license plate, we need 3 letters out of 26 letters of the English alphabet and 5 digits out of 0-9
For the alphabet:
So, the first letter can be chosen in 26 ways
The second letter can be chosen in 26 ways
The third letter can be chosen in 26 ways
For the digits:
The first number can be chosen in 10 ways
The second number can be chosen in 10 ways
Similarly, the remaining three numbers can be chosen in 10 ways each
So, total ways = 26*26*26*10*10*10*10*10 = 1,757,600,000
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when a plumber is called the cost of the service call is 65$ for them to show up at your house, plus an additional $30 per hour
PLEASE SOLVE ALL OF THEM I WILL GIVE U THE WORLD
Answer:
Step-by-step explanation:
y=30x+65
y=30(3)+65
y=90+65
y=155
A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $9.75, and tickets cost $13.75 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.
group of friends have $150 to spend on the amusement park admission and parking.
150 - 13.50 = 136.50
136.50 / 22.75 = 6
x = 6
13.50 + 22.75x = 150
13.50 + 22.75(6) = 150
22.75 * 6 = 136.50
136.50 + 13.50 = 150
Round to nearest hundred thousand
449,387 rounds to _,and 350,030rounds to _.what is the estimate of 449,387+350,030
Answer:
800,000
Step-by-step explanation:
^3√-1
0-1
O undefined
01
O-3
The answer of the given question of radicals is -1.
What is radicals?
A surd or radical is an unresolved root, particularly one that employs the radical symbol. A radical expression is any expression that contains a radical, whether it is a square root, a cube root, or a higher root, while an algebraic expression is any statement that does not contain any transcendental functions or transcendental numbers. The root test is used to determine the radius of convergence of a power series. The nth roots of 1 are known as roots of unity, and they play an important role in many areas of mathematics, including number theory, equation theory, and the Fourier transform.
Given, ∛-1
if we evaluate this radical then,
∛-1 = -1
because 1 perfect cube.
Hence, the answer is option(a) i.e, -1
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Divide 2x2 7x â€"" 3 by 2x 5. which expression represents the quotient and remainder? x 1 x 1 â€"" x 1 x 1 â€""
The required solution of given polynomial equation is [tex]x+1-\frac{8}{2x+5}[/tex] .
Given polynomial equation is [tex]2x^{2}+7x-3[/tex] which is to be divided by [tex]2x+5[/tex]
In case of division of polynomials we Long division method to calculate final value of the given equation.
For solving given equation let us start from;
[tex]\frac{2x^{2} +7x-3}{2x+5}[/tex] = [tex]x+\frac{2x-3}{2x+5}[/tex]
[tex]x+\frac{2x-3}{2x+5}[/tex] = [tex]x+1 +\frac{-8}{2x+5}[/tex]
[tex]x+1-\frac{8}{2x+5}[/tex]
The final solution for given equation is [tex]x+1-\frac{8}{2x+5}[/tex]
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To solve the inequality StartFraction m over negative 7 EndFraction less-than-or-equal-to 14, what should be done to both sides? I NEED TO GET THIS DONE NOW HELP IM SO CONFUSED
To solve the inequality given by -n/7 ≤ 14 , -7 should be multiplied to both sides of the inequality .
Any monotonically rising function can, by definition, be applied to both sides of an inequality without changing their connection to one another (provided that both expressions are in the domain of that function).
If a monotonically falling function were applied to both sides of an inequality, the inequality relation would be reversed.The rules for the additive inverse and the multiplicative inverse for positive numbers serve as illustrations of the use of a monotonically declining function.If the function is strictly monotonic and the inequality is strict (a b, a > b), the inequality remains strict.If only one of these conditions is fulfilled, the resulting inequality is not strict. The conditions for both additive and multiplicative inverses really serve as a demonstration that a strictly monotonically dropping function is being applied.The inequality is -n/7 = 14
or, -n ≤ 14 × 7
or, -n ≤ 98
or, n ≥ -98
Therefore the first step is solve the inequality is to multiply both sides by 7.
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Lauren Rodriquez earns 8.35 per hour as a swimming instuctor . How many hours per week must she work if she wants to earn approximately 190.00 per week
A unit rate is the amount of a quantity at the rate of one.
The number of hours per week to earn approximately 190 is
22 hours 45 minutes
What is a unit rate?A unit rate is the amount of a quantity at the rate of one.
It is written as a ratio with a denominator of one.
Example:
If 3 miles in 3 minutes then 1 mile in 1 minute.
We have,
The amount earned per hour = 8.35
This can be written as:
1 hour = 8.35
Multiply 190/8.35 on both sides.
190/8.35 x 1 hour = 190/8.35 x 8.35
22.75 hours = 190 ____(1)
1 hour = 60 minutes
0.75 hour = 45 minutes
From (1) we get,
22 hours 45 minutes = 190
Thus,
The number of hours per week to earn approximately 190 is
22 hours 45 minutes.
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Rectangle A is 5 in by 7 in. If the scale factor is 4, what is the area of the new rectangle B? How does it compare with the first rectangle?
The area of rectangle B is 560 square inches.
What is the area of rectangle?Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle.
Given that,
Scale factor = 4
Rectangle A has
length = 5 inches
breadth = 7 inches
Area of a rectangle A = length×breadth
= 5×7
= 35 square inches
Scale factor is 4 so length and width of a new rectangle is
length = 5×4 = 20 inches
breadth = 7×4 = 28 inches
Area of a rectangle B = length×breadth
= 20×28
= 560 square inches
Hence, The area of rectangle B is 560 square inches.
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ANSWER QUICK I WILL GIVE BRAINLIEST!
the difference between a number and seven eighths exceeds negative two thirds f plus 7 over 8 is greater than 2 over 3 f minus 7 over 8 is less than or equal to negative 2 over 3 f minus 7 over 8 is greater than negative 2 over 3 f minus 7 over 8 is less than negative 2 over 3
The correct statement is f minus 7 over 8 is greater than negative 2 over 3. Option C
What are inequalities?Inequalities are defined as mathematical relation with an unequal comparison between two numbers, elements, quantities or mathematical expressions.
They are mostly used in the comparison of two numbers on the number line on the basis of their size of magnitude.
From the information given, we have that;
The difference between a number and seven eighthsIt also exceeds negative two thirdsLet the number be f
This is expressed as;
f - 7/8 > -2/3
This is written in word form as;
f minus 7 over 8 is greater than negative 2 over 3
Hence, the expression is f - 7/8 > -2/3
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Answer:
Step-by-step explanation:
c i have spoken
Jon buys 3 shirts for $20.
Answer: I think the answer is 6.70$ or 6.66666667
Step-by-step explanation:6.70 x 3 = 20.1
But You Multiply 6.66666667 x 3 = 20
If you explain and I’ll give you brainiest if not but the correct answer I’ll accept that also just NO nonsense answers!!!
Answer:
1: missing: x values are 4 and 2. missing y values are 20.
2: missing: x values are 12. missing y values are 5 and 3.
3: missing x value is 18. missing y value is 2 and 5.
4: missing x values are, 5, 8, and 12
fill in answers are going from in order left to right
is 12.6 repeating a fraction
Answer: You Welcome
Step-by-step explanation:
12.6 Repeating Decimal = 12 2/3 as a Fraction
Answer:
no, it not
Step-by-step explanation:
It's not a repeating decimal because
A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is not the case here, which means that our answer is as follows:
12/6
= no.-repeating
Solve one half equals one-fourth times the quantity y plus one-eighth end quantity for y.
y equals one half
y equals three fourths
y equals fifteen over eight
y equals three halves
Like can you do this quickly lol
The value of y in the equation 1/2 = 1/4y + 1/8y when solved is y = 4/3 .
A linear equation in one variable is defined as an equality between two expression either or both containing the variable .
A linear polynomial over a field, from which the coefficients are taken, can be reduced to a linear equation by equating it to zero.There is only one answer when there is only one variable. The term "linear equation" frequently alludes indirectly to this specific situation, in which the variable is appropriately referred to as the "unknown."When we say we've solved an equation, we mean we've found the value of the variable that, if we plugged it into the equation, would make it true or balanced.The given expression can be written a linear equation of the form :
1/2 = 1/4y + 1/8y
Simplifying the equation we get :
y = 4 / 3
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Choose an expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power.
The equivalent expression is (-2)^2. Option D
What are index forms?Index forms are simply defined as mathematical expressions with a number or element raised to a variable or number.
Example for index forms are;
2^7
5^2
6^x
2^y
What are equivalent expressions?Equivalent expressions are defined as algebraic expressions that are equal to each other but have different arrangement of its values or elements.
From the information given, we have that;
negative two raised to the fourth power = (-2)^4negative two raised to the second power = (-2)^2Now, substitute the values, we have;
(-2)^4/(-2)^2
Take inverse of the power
(-2)^4 - 2
Subtract the values
(-2)^2
Hence, the expression is (-2)^2
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The complete question:
Choose an expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power.
a. 6
b. (-2)^4
c. 8
d. (-2)^2
Answer:
d
Step-by-step explanation: