Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches are greatest lenght of the pieces by greatest common factor.
What does "largest common factor" mean?
A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the largest, we refer to the GCF of 12, 20, and 24 as four.a. As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.
First we will factor out all three numbers completely
60 = 2 × 2 × 3 × 5
48 = 2 × 2 × 2 × 2 ×3
72 = 2 × 2 × 2 × 3 × 3
The common factors are: 2, 2 and 3
Thus the GCF = 2 × 2 × 3 = 12
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
b. For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So
Number of pieces for blue cloth = 60/12 = 5
Number of pieces for gold cloth = 48/12 = 3
Number of pieces for white cloth = 72/12= 6
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descartes earns $5 for each lawn that he mows. the mows 7 lawns . he spends $20 on a video game. how much money does he have left??????
Answer:
he has $15 left
Step-by-step explanation:
$5 for each lawn
$5 * 7 lawns = $35
$20 on a video game
$35 - $20 = $15
Which statements are true? Select the five correct answers.
Answer: I guess?
Step-by-step explanation:
2^5/4 = 2^5/2^a = c
a= b= c=
What are the answers pls
Answer:
mass of 1 mole 2^5/4=2^5/2a=c=0g
Step-by-step explanation:
Need help with the introduction to probability lesson, photo is attached below.
Answer:
For A.) there are only 2 so 2/8 would become0.25
B.) 4 even number 4/8= 1/2 = 0.50
C.) 1 Red 1/8= 0.125
D.) 5 Not blue 5/8 = 0.625
E.)3 Blues 3/8= 0.375
F.) 0 because there are no 9 so it's not possible
Step-by-step explanation:
Convert 6 hours into weeks. Round your answer to the nearest hundredth.
Answer:
6 Hours = 0.0357 Weeks
Rounding off o nearest hundredth we get
=> 0.36
All done!
210 sticks of gum each stick sold for 50 cents how much money did i make
2/3+3/5 dont mind this i just need help
The result of the expression given as 2/3+3/5 is: 19/15
To solve this exercise we have to perform a mathematical operation of division with fractions:
2/3+3/5
We apply the least common multiple of the denominators and we get:
Least common multiple of denominators: 3*5 = 15
[(15/3)*2 + (15/5)*3] / 15
[(5*2) + (3*3)] / 15
(10 + 9) / 15
19/15
What is a fraction?
Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.
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Hat app is similar to game dvr but captures screenshots and generates a report of all actions taken?
The ideal substitute is OBS Studio, which is both open source and free. Simple Screen Recorder, Camtasia Studio, are other fantastic applications.
What is Windows Gamebar?
The Game Bar in Windows 10 is a feature made to make it easier for players to record gameplay, stream it online, take pictures, and use the X box app quickly. Although it is a useful tool, not everyone needs to use it or wants to have it on their PC.Is audio captured by Windows game capture?
When recording games, you can change the audio settings listed below: When recording a gaming clip, you can choose to record audio as well. When recording a game, you can decide whether you want to also capture the system and microphone audio.Learn more about Windows game
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3x + 2.3 = 11.6 help please
Solution:
[tex]x=3.1[/tex]
Hope this helps!
Answer:
x = 3.1
Step-by-step explanation:
3x + 2.3 = 11.6
3x = 11.6 - 2.3
3x = 9.3
x = 9.3/3
x = 3.1
Check:
3*3.1 + 2.3 = 11.6
9.3 + 2.3 = 11.6
What is the greatest common factor of 16, 44, and 28?
Answer:it is 4
4*4=16,4*11=44, 4*7=28
Step-by-step explanation:
The greatest common factor of 16, 44, and 28 is 4.
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, are three numbers 16, 44, and 28.
All numbers are divisible by 2 but it is not GCD.
The GCD of three numbers 16, 44, and 28 is 4 as 4 is the highest number
that cam divides each of these numbers.
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please help thank you!!
What is the value of cosine (startfraction 4 pi over 3 endfraction)? negative startfraction startroot 3 endroot over 2 endfraction negative one-half one-half startfraction startroot 3 endroot over 2 endfraction
The value of Cos(4π/3) is (-1/2) i.e., negative one half.
The given function is Cosine (Start fraction 4 pi over 3 end fraction) and this can be written simply as,
Cos(4π/3)
On splitting 4π/3 in two parts, this can also be written as
= Cos(π + (π/3))
(π + (π/3)) lies in the third quadrant and in the third quadrant the value of cosine function is negative. So, using quadrant sign for cosine function, this can be written as
= -Cos(π/3)
Now, Substitute the value of Cos(π/3) = 1/2.
= (-1/2)
Cos(4π/3) = (-1/2)
The value of Cos(4π/3) is (-1/2) i.e., negative one half.
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Answer:
It's B
Step-by-step explanation:
Please help me solve this please
Answer:
Step-by-step explanation:
what is the question>
How to solve it??? Which formula to be use. Also which sides would be taken??
The values of x and y are x = 45/7 and y = 42/5
How to determine the values of x and y?To calculate the value of x
Here, we make use of the ratio
AC : BC = AQ : QP
This gives
x : 5 = x + 9 : 12
Express as fractions
x/5 = x + 9/12
Cross multiply
12x = 5x + 45
Evaluate the like terms
7x = 45
Divide by 7
x = 45/7
To calculate the value of y
Here, we make use of the ratio
AB : BC = AP : PQ
This gives
6 : 5 = 6 + y : 12
Express as fractions
6/5 = 6 + y/12
Cross multiply
30 + 5y = 72
Evaluate the like terms
5y = 42
Divide by 5
y = 42/5
Hence, the values of x and y are x = 45/7 and y = 42/5
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EASY LOOKING FOR ANSWER HELP
Answer:
I forgot the answer
Step-by-step explanation:
3.2*10^8, 1.2*10^8, 7*10^5, 5*10^3
Graph The Lines (Algebra 1)
Answer:
See the picture below
Step-by-step explanation:
Your equations are in the slope-intercept form of a line. The equations are make up of a slope and a y-intercept.
y = mx + b The m is the slope (the steepness of the line) and b is the y-intercept. This is where the line crosses the y axis.
I would start with the y intercept. Look at the first equation
y = x -8 The -8 tells us that this graph crosses the y axis at (0,-8) From that point, we will use the slope. The slope is the number before the x. If we do not see a number than it is 1. We want to make this a fraction. What is 1 as a fraction? 1/1 This means that from -8 where the graph crosses the y axis we will follow the pattern of up one, one to the right.
Let's look at the second graph
y = -x + 5. This tells us that we cross the y axis at (0,5). Our slope is -1. What is -1 as a fraction? -1/1. This means that we will move down 1 and right one. We will follow that pattern.
Let's look at the third graph
y = 3/4x - 1 We cross the y axis at (0,-1) From that point we move up 3 and right 4.
y = 3 means that no matter what x is, y will be -3. This creates a horizontal line.
x = -4 means that not matter what y is, x will be -4. This creates a vertical line.
Kevin went shopping for a new scooter. He bought one on sale for 15% off its regular price of $140. If sales tax is 8%, what was the total cost of the scooter?
Answer:
128.52
Step-by-step explanation:
140 × (1-0.15) = 119
119 × 1.08 = 128.52
Answer:
$128.52
Step-by-step explanation:
Firstly to find the price of the scooter, you divide 140 by 100 and then multiply it by 15. The answer is what you subtract from the original price.
15(140/100) = 21
140 - 21 = 119
Now that we have the price of the scooter after the discount, we need to figure out the price of the sales tax. Sales tax is based on the reduced price, so we need to take the same steps as before to find the price. Divide 119 by 100, then multiply it by 8, then add the total to 119.
8(119/100) = 9.52
119 + 9.52 = 128.52
Answer = $128.52
1. What is the slope of the line that passes through the given points? (1
(2, 12) and (6, 11)
0-11
4
4
04
04
Answer:
Step-by-step explanation:
The slope of the line that passes through the given points (2, 12) and (6, 11) is -1/4.
If the interest rate is 12.5 percent, what is the present value of $200 received in one year?
177.78 is the present value of $200 received in one year.
What do interest rates mean?
An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.What is an example of interest rates?
The basic interest formula is as follows, for instance, if you take out a $20,000 loan with a five-year term and a 5% interest rate: $5,000 in interest results from multiplying $20,000 by.05 by 5.
PV=FV * (1+i)^-n
=200\1.125
= 177.78
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What is an equation of the line that passes through the
points (2, -3) and (2, 6)?
Answer: It is the point where the line crosses the x axis of the cartesian coordinates. We can write an equation of the line that passes through the points y=0 as follows: Using the equation: y = 3x – 6, put y=0. To find the x-intercept. 0 = 3x – 6. 3x = 6. The x-intercept is 2 of the slope-intercept form of line
(-3,4), (2, y); m=5
Answer:
I think y is 29
Step-by-step explanation:
It's what the results gave me
Pls help HElp Asap. .
Given g(x) = −4x + 4, identify the domain, range, and x-intercept of the function.
The domain of the function is -∝ < x < ∝, the range of the function is -∝ < y < ∝, and the x-intercept of the function is (-1, 0)
How to identify the domain, range, and x-intercept of the function?The equation of the function is given as
g(x) = 4x + 4
The function g(x) is a linear function.
There is no restriction on the input values and output values of a linear function
This means that the domain and the range of a linear function are the set of all real numbers
Set g(x) to 0, to determine the x-intercept
So, we have
4x + 4 = 0
Divide through by 1
So, we have
x + 1 = 0
Evaluate the like terms
x = -1
Hence, the domain of the function is -∝ < x < ∝, the range of the function is -∝ < y < ∝, and the x-intercept of the function is (-1, 0)
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Pls read to picture below
Answer:
1) 6a
2) 8
3) 18a
Step-by-step explanation:
1) [tex] \sf {2a}^{ - 1} \times {3a}^{2} [/tex]
Simplify using exponent rule with the same base
[tex] \sf \: 2 \times {3a}^{ - 1 + 2} [/tex]
Multiply the monomials
[tex] \sf \: 6a {}^{ - 1 + 2} [/tex]
Calculate the sum or difference.
[tex] \sf \: {6a}^{1} [/tex]
Calculate the power
[tex] \sf \: 6a[/tex]
2) [tex] \sf( \frac{1}{2} ) {}^{ - 3} [/tex]
simplify using negative exponents rule [tex] \sf {a}^{-n} = \frac{1}{{a}^{n}} [/tex]
[tex] \sf {2}^{3} [/tex]
calculate the power
[tex] \sf \: 8[/tex]
3) [tex] \sf {2a}^{ - 1} \times {(3a)}^{2} [/tex]
Simplify using exponents rule with the same exponent
[tex] \sf {2a}^{-1} × {3}^{2} × {a}^{2}[/tex]
Simplify using exponents rule with the same base a ^ n + a ^m = a ^n+m
[tex] \sf 2×{3}^{2} ×{a}^{-1+2} [/tex]
Calculate the power
[tex] \sf 2 × 9a {}^{-1+2}[/tex]
[tex] \sf 18a[/tex]
2(I) We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.
8348 = 8350(rounded to 3 SF)
2(ii) 0.00796 = 0.0080
2(II) 6.329 = 6
2(III) 0.05684 = 0.0568
Step-by-step explanation:
1.i
2a^-1 × 3a²
remember, when we multiply factors with the same base value or variable, we keep that base value or variable and simply add the exponents.
-1 + 2 = 1
so, we get
2×3 × a¹ = 6a
1.ii
(1/2)^-3
remember, the "-" on the exponent just means 1/...
so, it is actually
1 / (1/2)³ = 1 / 1/8 = 8
1.iii
2a^-1 × (3a)²
similar to the first one, but remember, when we put the product of factors to a certain power, we need to do this for every factor of the inner multiplication :
2a^-1 × 9a² = 2×9 × a¹ = 18a
2.
the first significant figure is the first digit in the number reading from the left, that is not 0. it can be before or after the decimal point.
any digit (now continuing to read further to the right) after the first significant figure is again a significant figure even if it is 0.
i.
8.348 is rounded to 3 significant figures : 8.35
ii.
0.00796 is rounded to 2 significant figures :
0.0080 or 0.008 (because if the last digit after the decimal point is a 0, we can ignore it).
iii.
6.329 is rounded to 1 decimal place : 6.3
iv.
0.05684 is rounded to 3 decimal places : 0.057
3.
the sum of interior angles in a polygon is (n − 2) × 180°. where n is the number of sides.
as deca stands for 10, a decagon has 10 sides and 10 vertexes.
the sum of its inner angles is
(10 - 2) × 180° = 8 × 180° = 1440°
1170° of that is already covered by the first 7 angles.
so, we have left
1440 - 1170 = 270°
for the remaining 3 angles (that are all equal).
so,
270 = 3×angle
angle = 270/3 = 90°.
so, all of the 3 remaining angles are 90°.
Mr.Myers picked 13 1/8 bushels of red delicious apples and 27 2/8 bushels of golden delicious apples. How many bushels of apples did he pick ?
Answer:
40 3/8 bushels of apples
Step-by-step explanation:
13 1/8 bushels and 27 2/8 bushels
13 1/8 + 27 2/8 =
(13 + 27) = 40
(1/8 + 2/8) = 3/8
40 3/8
Ravi presses f12 (command shift s) and then clicks on the tools button. what is he doing?
He is opening a dialog box to access a second workbook by pressing F12 and then clicking tool box.
A dialog box is a temporary window an application creates to retrieve user input. An application typically uses dialog boxes to prompt the user for additional information for menu items.It (also spelled dialogue box, also called a dialog) is a common type of window in the GUI of an operating system. The dialog box displays additional information, and asks a user for input. For example, when you are using a program and you want to open a file, you interact with the "File Open" dialog box.
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30 POINTS
Write and solve an absolute value equation for the minimum and maximum times for an object moving at the given speed to travel the given distance. Absolute value 3 ft. 10 ft/s for 30 ft
Answer:
Step-by-step explanation:
12
A submarine starts at 0 units and has groups of 3 floats and groups of 4 anchors attached.
Using these groups of floats and anchors, write as many different expressions as you can that would make the submarine's final position -5 units.
The following are three equivalent expressions for the submarine's final position:
-(5)(3) - (2)(4), -(5)(3) + (-2)(4) and -(5)(3) + (2)(-4)
What is defined as the equivalent expressions?Equivalent expressions have been expressions that perform the same function despite their appearance. If 2 algebraic expressions have become equivalent, they have the same value when the same value(s) for variable are used (s).Equivalent Expressions Examples:3(x + 2) and 3x + 6 have been equivalent expressions since their values remain constant for any value of x.Based on the question,
Each float advances by 5 units.Each group takes a two-unit step.As a result, the submarine's final position is:
Final = -(5)(3) - (2)(4)
The minus "-" symbol indicates that the submarine is sinking.
Thus, the following are equivalent expressions for the submarine's final position:
-(5)(3) - (2)(4), -(5)(3) + (-2)(4) and -(5)(3) + (2)(-4)
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Graph the inequality.
y ≥ |x+5|-3
The graph that represents the inequality is graph b
Graph of inequalitiesFrom the question, we are to graph the given inequality
The given inequality is
y ≥ |x+5|-3
To graph the inequality, we will write the inequality as an equation and we will find some of the points on the line
When x = 0
y = |x+5|-3
y = |0+5|-3
y = |-3
When y = 0
y = |x+5|-3
0 = |x+5|-3
0 = (x + 5) - 3 and 0 = -(x + 5) -3
3 = x + 5
x = 3- 5
x = -2
and
0 = -(x + 5) -3
x + 5 = -3
x = -3 - 5
x = -8
The graphs that has the points above are graphs b and d.
Since the inequality sign is ≥ when y is the subject, the solution to the inequality is above the lines.
Hence, the graph of the inequality is graph b.
The graph of the inequality is shown below
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a pizza parlor can make 100 pizzas in an evening. they make 40 pepperoni pizzas and 60 extra cheese pizzas. they are producing each pizza at the lowest possible cost. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. this pizza parlor is what?
The pizza parlor is technically efficient, but its not allocatively or economically efficient because technically efficient if all supply is used, allocate is if desired demand is met.
What is meant by technically efficient?Technical efficiency is related to how productive a company can be given this same fewest inputs, as well as resources, required to complete a task.
An input would be any quantifiable resource required to produce an output, or product. Labor, materials, and equipment are all examples of inputs. Outputting cakes, for example, necessitates at least the mentioned inputs: bakers, ingredients, and ovens.What is meant by economically efficient?The concept of economic efficiency is related but distinct. Technical efficiency seeks to minimize inputs, whereas economic efficiency seeks to minimize costs, that might or might not necessitate fewer inputs.
In other words, the company wants to cut costs as much as possible even while meeting production targets. For instance, the bakery would perhaps purchase cheaper materials to lower costs without lower productivity.To know more about technical efficiency and economic efficiency, here
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The complete question is;
A pizza parlor can make 100 pizzas in an evening. They make 40 pepperoni pizzas and 60 extra cheese pizzas. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. This pizza parlor is what?
Technically efficient
allocatively efficient
economically efficient
A formula for 6 gallons of light green paint uses 3/8 gallon of white paint. Liam has 9/16 gallon of white paint. Does Liam have enough white paint to make 8 gallons of light green paint?
Yes, 9/16 gallon of white paint is enough for Liam to make 8 gallons of light green paint.
How do you defined the term unitary method?It is a method for estimating the value of a single unit from of the value of multiple units, as well as the value of multiple units from of the value of a single unit. With in unitary method, we everytime count the value of a unit one or quantity first, and then calculate the values of more or lesser quantities.For the given conditions; use unitary method.
3/8 gallons white paints ------> 6 gallons of light green paint.
Thus, from 1 gallons of white paint.
1 gallons white paints ------> (6×8)/3 gallons of light green paint.
For preparing 8 gallons of light green paint, multiply both side of equation by 9/16.
9/16 gallons white paints ------> (6×8)/3 × (9/16) gallons of light green paint.
on solving.
9/16 gallons white paints ------> 9 gallons of light green paint.
The requires value for light green paint is 8 gallons, we have prepared more than that that is 9 gallons.
Thus, Liam has sufficient white paint to make 8 gallons of light green paint.
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