Answer:
So let start with 1/4 simplest form of that would be 9/4 and for 11/24 simplest would be just that so now we got 11/24 - 9/4 = 1/72
Step-by-step explanation:
11/24
4/9
now we do 11 x 9 equals 99 so now 4 x 24 = 96
now we take the two new denominators2 24 and 9
and we do 24 x 9 = 216 so now we got
99/216
96/216
now 99 - 96 is 3 so we got a new fraction
3/216 now we just simplify that so we get 1/72
Perform the indicated operation. Be sure the answer is reduced
. a+b/a^(2) b + a-b/ab^2
Answer:
Step-by-step explanation:
[tex]\frac{a+b}{a^2b} +\frac{a-b}{ab^2} \\=\frac{b(a+b)+a(a-b)}{a^2b^2} \\=\frac{ab+b^2+a^2-ab}{a^2b^2} \\=\frac{b^2+a^2}{a^2b^2} \\or\\=\frac{1}{a^2} +\frac{1}{b^2}[/tex]
Jessica has half of her investments in stock paying a 7% dividend and the other half in a stock paying 13% interest. If her total annual interest is $780, how much does she have invested?
Answer:
$7800
Step-by-step explanation:
The total interest earned can be found by summing the earnings from each of the investments.
SetupLet x represent the total amount invested. Then Jessica's earnings are ...
(x/2)(0.07) +(x/2)(0.13) = 780
SolutionSimplifying the equation gives ...
(x/2)(0.07 +0.13) = 780
0.10x = 780
x = 7800 . . . . . . . . divide by 0.10
Jessica has $7800 invested.
the set of ordered pairs represents a function
(1, 3) (2, 9) (k, 12) (5, 9) (8, 0)
Which of these could be the value of k
Answer:
12
Step-by-step explanation:
because it digit havbeen given ad k
Write 3.3.3.3.3.3.3.3. With exponential notation
Answer:
the answer is 3power 7
3^7
Answer:
3^8
Step-by-step explanation:
Solve the system using elimination. ''x-3y=9 and -x+3y=-9
Answer:
Infinitely many solutions.
Step-by-step explanation:
Let's solve your system by elimination.
x−3y=9;−x+3y=−9
x−3y=9
−x+3y=−9
Add these equations to eliminate x:
0=0
Answer:
Infinitely many solutions.
A researcher surveyed 67 business majors
Answer:
Whats the question then?
Step-by-step explanation:
A rectangular piece of paper is 44 cm long and 20 cm wide. A cylinder is forms by rolling the paper along its length. Find its volume
ASAP ⠀⠀⠀⠀⠀⠀⠀
Answer:
3081.24 cm³ (nearest hundredth)
Step-by-step explanation:
Formulas
[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]
[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
If a rectangular piece of paper is rolled along its length to form a cylinder:
circumference = 44 cmheight = 20 cmTo calculate the volume of the formed cylinder, determine the radius by using the circumference formula:
[tex]\implies \sf 2 \pi r = 44[/tex]
[tex]\implies \sf r = \dfrac{44}{2 \pi}[/tex]
[tex]\implies \sf r =\dfrac{22}{\pi}[/tex]
Substitute the round radius into the formula for Volume and solve for V:
[tex]\implies \sf V=\pi \left(\dfrac{22}{\pi}\right)^2(20)[/tex]
[tex]\implies \sf V=\pi \left(\dfrac{484}{\pi^2}\right)(20)[/tex]
[tex]\implies \sf V=\left(\dfrac{484}{\pi}\right)(20)[/tex]
[tex]\implies \sf V=\dfrac{9680}{\pi}[/tex]
[tex]\implies \sf V=3081.239698...cm^3[/tex]
Therefore, the volume of the cylinder is 3081.24 cm³ (nearest hundredth).
evaluate if y=4 and z= -2 7y+z=?
Answer:
26
Step-by-step explanation:
7(4)+-2
28-2=26
Step-by-step explanation:
y = 4 and z = -2
[tex] = 7y + z[/tex]
[tex] = 7 \times 4 + ( - 2)[/tex]
[tex] = 28 - 2[/tex]
[tex] = 26...[/tex]
Solve ABC. Round decimal answers to the nearest tenth.
The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. The given triangle can be solved as shown below.
What is Sine rule?The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ B}{\beta} =\dfrac{Sin\ C}{\gamma}[/tex]
where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
For the given triangle, using the sine rule the ratio of the angle and the sides of the triangle can be written as,
[tex]\dfrac{Sin\ A}{18} =\dfrac{Sin\ B}{11} =\dfrac{Sin\ C}{c}\\\\\dfrac{Sin\ 72^o}{18} =\dfrac{Sin\ y^o}{11} =\dfrac{Sin\ x^o}{c}[/tex]
Taking the first two ratios,
[tex]\dfrac{Sin\ 72^o}{18} =\dfrac{Sin\ y^o}{11}\\\\y = 35.54^o[/tex]
The sum of all the angles of a triangle is 180°.
72° + 35.54° + x° = 180°
x = 72.46°
Now, using the sine ratio,
[tex]\dfrac{Sin\ 72^o}{18} =\dfrac{Sin\ 72.46^o}{c}\\\\c = 18.046[/tex]
Hence, the given triangle is solved.
Learn more about Sine Rule:
https://brainly.com/question/17289163
#SPJ1
I have data on lower class, middle class and upper class. What is a mathematical process that would provide a simple numerical summary value for the income levels in
each group.
Answer:
You can find the mean, by adding all the terms in each data set and dividing by the number of terms. For example, if there were four data points, you would add them all up and divide by four.
hope this helps!
complete the steps to add the equations from part CNE this will make one side of the Pythagorean theorem.
The equation that can be used for finding the lengths in the Pythagoras theorem include:
b² = c² - a²
a² = c² - b²
c² = a² + b²
What is Pythagoras theorem?It should be noted that a Pythagoras theorem is simply the theorem that's used in finding the missing length of a right angled triangle.
In this case, the equation that can be used to find the sides in a Pythagoras theorem has been given.
Learn more about Pythagoras theorem on:
brainly.com/question/343682
#SPJ1
Given a sample variance of 6, what is the approximate sample standard deviation?
The sample standard deviation is 2.45.
What is the sample standard deviation?Standard deviation measures the spread of a dataset around its mean. The variance measures the average degree to which each data point differs from the mean.
The standard deviation is the square root of the variance.
Standard deviation = √6 = 2.45
To learn more about standard deviation, please check: https://brainly.com/question/26201837
#SPJ1
PLEASE HELP ME!!!!!!!!!
Answer:
(a) (5, -3)
Step-by-step explanation:
The "substitution method" for solving a system of equations requires that you write an expression that can be substituted for a variable in one or more of the other equations in the system.
Expression to substituteThe given equations are ...
y = x -82x +3y = 1We notice the first equation gives an expression for y. This is exactly what we want to substitute for y in the second equation.
SubstitutionWhen the expression (x-8) is substituted for y in the second equation, you get ...
2x +3(x -8) = 1
This simplifies to ...
5x -24 = 1
SolutionThis 2-step equation can now be solved in the usual way:
5x = 25 . . . . . . add 24 to isolate the variable term
x = 25/5 = 5 . . . . . divide by the coefficient of x
Note that we now know what the correct answer choice is.
Using the expression for y, we find ...
y = x -8 = 5 -8 = -3
The solution is (x, y) = (5, -3).
__
The attached graph confirms this solution.
Sam earns $912 each week working his full time job. His employer has a 13.6% tax deduction on all monies earned each week. Calculate the tax deduction Sam paid for that week. Sam earns $ 912 each week working his full time job . His employer has a 13.6 % tax deduction on all monies earned each week . Calculate the tax deduction Sam paid for that week .
Sam paid $ 124.032 as tax deduction each week.
What is an Equation ?An equation is a mathematical statement formed when an algebraic expression is equated by an equal sign by a constant or algebraic expression.
It is given that
weekly earnings of Sam is $912
Tax deduction is 13.6 %
Let the amount of Tax deduction is represented by $x
Then the equation formed is
x = 13.6 % 912
x = 13.6 *912 /100
x = $ 124.032
Therefore Sam paid $ 124.032 as tax deduction each week.
To know more about Equation
https://brainly.com/question/10413253
#SPJ1
Which expression is equivalent to –2(5x – 0.75)? 10x – 0.75 10x 0.75 –10x – 1.5 –10x 1.5
Answer: -10x+1.5
Step-by-step explanation:
[tex]-2(5x-0.75)=-10x+1.5[/tex]
6. If x and y are positive integers, and
3x + 2y = 21, what is the sum of all
possible values of x?
An equation is formed of two equal expressions. The sum of all possible values of x is 16.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
3x + 2y = 21
3x = 21 - 2y
x = (21-2y)/3
Since the value of x is needed to be positive, the value of 2y must not exceed 21. Also, the value of (21-2y) must be a multiple of two.
Now, the values of y that will satisfy the given condition in the equation are 0, 3, 6, and 9.
Further, the sum of the possible values of x are,
Sum = 7 + 5 + 3 + 1 = 16
Hence, the sum of all possible values of x is 16.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
What is the LCM of 4 and 18
Answer:
36
Explanation:
Multiples of 4 are:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64,...
Multiples of 18 are:
18, 36, 54, 72, 90, 108, 126, 144,...
The least common multiple of 4 and 18 is 36.
The side of a square is x units. Which one of following expressions represents the perimeter?
if the perimeter=s+s+s+s
=x+x+x+x
What is cos 60°?
1
.06
2
30⁰
find the volume of the sphere
Answer:
The volume = 5 276.66928645188 cm³
Step-by-step explanation:
let V be the volume of the given sphere.
V = (4/3)×π×r³ ,where r is the radius of the sphere
r = 21.6÷2 = 10.8 cm
Then
V = (4÷3)×π×(10.8)³
= 5 276.66928645188 cm³
Solve the triangle. Round your answers to the nearest tenth
56. Thermometer A reads xº.
Thermometer B reads 2° below the
reading on thermometer A.
Thermometers C and D each read 4°
less than twice the reading on
thermometer B. What is the average
temperature, in degrees, of the 4
thermometers?
E. x - 4
2
F. x - 4
G. 3x 9
445
H. 3x - 9
What is the answer
All the options are incorrect. the required average is (3x-9)/2.
Thermometer A reads xº.
Thermometer B reads 2° below the reading on thermometer A = x-2
Thermometers C and D each read 4° less than twice the reading on thermometer = 2(x-2)-4
Average of the values is the ratio of total sum of values to the number of values.
As per question,
A=x
B = x-2
C.D = 2(x-2)-4= 2x-8
Average = A + B + C + D /4
= x+x-2+2x-8+2x-8/4
= 6x-18/4
= 3x-9/2
Thus, the required average of temperature = 3x-9/2.
Learn more about average here:
brainly.com/question/24057012
#SPJ2
Kim is running in a marathon to raise money for a charity. She will run 26 kilometres. Her boss says she will double the total amount she collects from her colleagues. How much will her boss have to give Kim?
Her boss would give Kim a total of $2x
How to determine the total amount?The given parameters are:
Distance = 26 km
Assume that the amount raised during the marathon is
Amount = x
From the question, we have:
Boss = Double the amount
This means that:
Boss = 2 * Amount
Substitute Amount = x
Boss = 2x
Hence, her boss would give Kim a total of $2x
Read more about products at
https://brainly.com/question/10873737
#SPJ1
fill the blank
7,504,12_ is divisible by 4
Answer:
4
Step-by-step explanation:
When we substitute the blank for 4 and divide by 4, 7,504,124/4 is 1,876,031 :)
Have an amazing day!!
Please rate and mark brainiest!!
What amount of money must Kurt Blixen invest at 4.75% to have it earn $10,000 in 90 days?
Answer:
He have to invest $527.777778 .
Step-by-step explanation:
X : 4.75% = $10,000 : 90
a card is drawn from a deck of cards. event A is that the card obtained is a 2 and B is that the card is a spade. these event do not overlap.
true
false
Event A and Event B are events that do not overlap. This statement is false.
Do events A and B overlap?Two events overlap if there is a chance that both events occur together. A spade has a number 2. Thus, it is possible to pick a spade that has the number 2 on it. Thus, these events are dependent events.
To learn more about a deck of cards, please check: https://brainly.com/question/14971929
#SPJ1
what is x(3x+2) expanded
Answer:
[tex]3x^{2} +2x[/tex]
Step-by-step explanation:
Using the rainbow expansion method:
[tex]x(3x+2)=3x*x+x*2\\ = 3x^{2} +2x[/tex]
Answer:
3x² + 2x
Step-by-step explanation:
x (3x + 2)
= x*3x + x*2
= 3x² + 2x
Sonia works at a bakery. The function f(x) represents the amount of money Sonia earns per loaf, where x is the number of loaves she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 9x2 + 1
g of x equals the square root of the quantity 2 x cubed
A function assigns the value. The function f(g(x)) represents the amount that Sonia will earn per hour by baking bread.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given f(x)=9x²+1 and g(x)=√(2x³). Therefore, the value of f(g(x)) will be,
[tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex]
= 9(2x³) + 1
= 18x³ + 1
The function f(g(x)) represents the amount that Sonia will earn per hour by baking bread.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ1
16 / 4 * (3 - 1)
a) 2
b) 4
c) 8
Hello,
if :
[tex] \frac{16}{4(3 - 1)} = \frac{16}{4 \times 2} = \frac{16}{8} = 2[/tex]
if :
[tex] \frac{16}{4} \times (3 - 1) = 4(3 - 1) = 4 \times 2 = 8[/tex]
Answer:
Hello! The answer is c) 8.
Step-by-step explanation:
To solve this question, we need to follow the order of operations. This can be done through PEMDAS - parentheses, exponents, multiplication, division, addition, and subtraction.
First, we need to solve what's in the parentheses:
[tex]\frac{16}{4} * 2[/tex]
Now we can multiply and we get:
[tex]\frac{32}{4}[/tex]
This can be further simplified by doing 32 ÷ 4 to get 8.
Therefore, the answer is c) 8
(sec x + tan x)((1-sin x/cos x)=1 Please show calculations why you did those calculations. I need help!!!
Step-by-step explanation:
[tex]( \sec(x) + \tan(x) )( \frac{1 - \sin(x) }{ \cos(x) } )[/tex]
[tex]( \frac{1}{ \cos(x) } + \frac{ \sin(x) }{ \cos(x) } )( \frac{1 - \sin(x) }{ \cos(x) } )[/tex]
[tex]( \frac{1 + \sin(x) }{ \cos(x) } )( \frac{1 - \sin(x) }{ \cos(x) } )[/tex]
[tex] \frac{1 - \sin {}^{2} (x) }{ \cos {}^{2} (x) } [/tex]
[tex] \frac{ \cos {}^{2} (x) }{ \cos {}^{2} (x) } [/tex]
[tex] = 1[/tex]