The perimeter of the rectangle is 1 1/7 units
Perimeter of a rectangleThe formula for calculating the perimeter of a rectangle is given as:
P = 2(l + w)
Given the following
length. = 1/7 units
width = 1/2 units
Substitute
P = 2(1/7 + 1/2)
P = 2(9/14)
P = 9/7 = 1 1/7
Hence the perimeter of the rectangle is 1 1/7 units
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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).
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]
What is cos 60°?
1
.06
2
30⁰
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.
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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
A researcher surveyed 67 business majors
Answer:
Whats the question then?
Step-by-step explanation:
Julio es un alumno que faltó a las clases por ayudar a su familia a elaborar y vender quesos. Decidió sacar fotocopias al cuaderno de su compañero. Si cada fotocopia vale S/ 0.30 y debe calcular cuánto dinero necesita para pagar las fotocopias. Identifica cada variable, expresa como función, grafica y responde: ¿Cuánto pagará por 29 copias?
Es urgente por favor
Aplicando el concepto de precio unitario, concluimos que Julio debe pagar 8.70 soles peruanos por la producción de 29 fotocopias de los apuntes de un compañero.
¿Cuánto dinero debe pagar Julio por las fotocopias?
En esta situación, Julio debe pagar por 29 fotocopias de los apuntes de un compañero suyo. El monto a pagar es el producto del número de copias y el coste unitario de cada fotocopia, es decir:
x = (0.30 PEN) · (29)
x = 8.70 PEN
Aplicando el concepto de precio unitario, concluimos que Julio debe pagar 8.70 soles peruanos por la producción de 29 fotocopias de los apuntes de un compañero.
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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.
What are m and b in the linear equation y = 28x + 8?
Answer:
Step-by-step explanation:
y = mx + b is the formula to figure out your question
Now, the equation ( y = 28x + 8)
Already shows the m and b
m = 28
b = 8
Hope this helps! :)
If not ask me in the comments about your question and I’ll answer
PLEASE HELP ASAP I NEED TO PASS SUMMER SCHOOL ASAP
ILL MARK BRAINLIEST
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.
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.
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A linear function f(x) on a table. How do I find a solution for the value of f(4)?
x | f(x)
3 | -3.5
4 |
5 | 5.5
6 | 10
7 | 14.5
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.
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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.
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
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.
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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!
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
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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.
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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]
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
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Ross has $750 in a bank account that earns 9% in annual interest. Select an equation that represents this scenario.
PLS HELP
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.
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100 cubed as a power of 10
Answer:
100
Step-by-step explanation:
10^2 is 100 therefore it is 100
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
A map has the scale 1/3inch = 8 miles. If city a and city b are 12 inches apart on my map then how far apart are the city’s in real life
Solve the triangle. Round your answers to the nearest tenth
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
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