The conversion value of pounds to kilogram as per requirement is given by 141 pounds = ( 63.9576 ) kilograms.
Standard units pounds and kilograms are helpful in measuring the mass of the given object.One kilograms is equivalent to 2.20462 pounds.
This implies ,
⇒ 2.20462 pounds = 1 kilograms
Divide both the side by 2.20462 we get,
⇒( 2.20462 / 2.20462 ) pounds = ( 1 / 2.20462 ) kilograms
⇒ 1 pounds = ( 0.4536 ) kilograms
Now, Multiply both the side by 141 we get,
⇒ 141 pounds = ( 141 × 0.4536 ) kilograms
⇒ 141 pounds = ( 63.9576 ) kilograms
Therefore, the conversion factor of kilogram to pounds is 2.20462 this implies 141 pounds = ( 63.9576 ) kilograms .
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7. Margo can read 22 pages in 30 minutes.
How long would it take her to read a 100-page book?
Answer: x = 136.4 minutes
Step-by-step explanation:
x = (100/22)(30) minutes = 136.4 minutes
A 6-pack of bouncy balls costs $2. 76. What is the unit price?
A 6 pack of bouncy ball costs 2.76$ and the unit price of a bouncy ball is $0.46
To find the unit price of the bouncy balls, we need to divide the total cost by the number of bouncy balls in the pack. Since there are 6 bouncy balls in the pack and the cost is $2.76, we can calculate the unit price as follows: Unit price = total cost ÷ number of units
Unit price = $2.76 ÷ 6
Unit price = $0.46
Therefore, the unit price of a bouncy ball is $0.46.
Unit price is a measure of the cost of a single unit of a product. It is calculated by dividing the total cost of a product by the number of units in the package. The unit price is helpful when comparing the costs of different package sizes or brands of the same product. It allows consumers to make informed decisions about their purchases based on the value they receive for their money. Unit pricing is required by law in some countries, including the United States, to ensure transparency in pricing and to protect consumers from deceptive marketing practices. Overall, knowing the unit price of a product can help consumers save money and make more informed purchasing decisions.
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Original equation:
3(a-2) + 14 =8-6a
Solution: 3a-2+14-8-6a
3a +12=8-6a
9a + 12 = 8
9a = -4
a = -4/9
so what do you need help with
if i make $2949 a second how long will it take to get $2,000,000
it will take approximately 678.24 seconds, or about 11 minutes and 18 seconds, to earn $2,000,000 if you make $2949 per second.
Why it is?
We can use a simple formula to solve this problem:
Time = Amount / Rate
where Amount is the amount of money you want to earn ($2,000,000) and Rate is the rate at which you earn money per second ($2949).
Plugging in these values, we get:
Time = $2,000,000 / $2949 per second
Time = 678.24 seconds
Therefore, it will take approximately 678.24 seconds, or about 11 minutes and 18 seconds, to earn $2,000,000 if you make $2949 per second.
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How to convert 100 as a decimal?
The converted value of 100 percent to a decimal is equal to 1 which is denoted by 1.00.
Percent represents the given part out of hundred equally divided parts.Conversion of percent to decimal is divide the given number by 100.Converting 100 percent to decimal is divide 100 by 100 we get
1 percent is ( 1 / 100 )decimal
Substitute the required value of 100 percent we get,
⇒ 100 percent = ( 100 / 100 ) decimals
⇒ 100 percent = ( 1.00 ) decimals
Therefore, the conversion of 100 percent to decimal is given by 1.00 .
The above question is incomplete , the complete question is:
How to convert 100 percent as a decimal ?
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how to determine magnitude of order
For some values, such as the speed of light or the separation between the Earth and the sun, scientists and mathematicians long ago realized they needed a simpler way to write and refer to these large numbers.
They developed/created scientific notation at that time.
For us to estimate the order of magnitude:
Firstly, write the number in scientific notation.
Secondly, Round up to the nearest integer times a power of ten or power of ten.
Thirdly, Apply these estimates to your calculations.
Fourthly, If possible, compare the result to the exact one.
Example question, How many orders of magnitude are there in one million, for instance?
Answer will be, In order to represent the number 1,000,000, we will move the decimal to the left, stopping just before the first digit. The order of magnitude is determined by the quantity of left moves you make. Since we moved it six times, there are six orders of magnitude between ten and one million, which means that ten times six is equal to one million.
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A circle has diameter 6 cm. Calculate the area of the circle. Give the units of your answer.
Answer: 9pi cm squared
Step-by-step explanation:
The radius is diameter divided by 2, so radius = 3cm.
Now, the equation for area is pi * r^2
3 squared is 9, so the area is 9pi cm squared.
please help!! answer the question below
Answer:
Below
Step-by-step explanation:
Similar triangles due to A - A - A
Set up ratios
QR is to RS as QP is to TS
(x+2) / (2x-5) = 3/5 Cross multiply to get
5x+10 = 6x-15 subtract 5x from both sides of the equation
10 = x - 15 add 15 to both sides
25 = x
A law firm is going to designate associates and partners to a big new case. The daily
rate charged to the client for each associate is $800 and the daily rate for each
partner is $1800. The law firm designated twice as many partners as associates to the
case and was able to charge the client $17600 per day for these lawyers' services.
Write a system of equations that could be used to determine the number of associates
assigned to the case and the number of partners assigned to the case. Define the
variables that you use to write the system.
Answer:
Answer:
Associates=7
Partners=10
Step-by-step explanation:
Let the number of associates be x while partners be y. Since they are a total of 17 then
x+y=17
Therefore, x=17-y
Also considering the charges then
800x+1800y=23600
Subsituting x with 17-y then
800(17-y)+1800y=23600
13600-800y+1800y=23600
1000y=10000
Y=10
X=17-y=17-10=7
Look at the diagram in the image attached.
What is the measure of LLMN?
A. 67°
B. 71°
C. 109°
D. 113°
Answer:
67°
Step-by-step explanation:
Sum of the interior angles of a triangle = 180
To find x, set the sum of the supplementary angles to the 3 shown angles (x-6, x+9, x) equal to 180:
180 = (180-x+6) + (180-x-9) + (180-x)
180 = 536 - 3x
-357 = -3x
x = 119
119 - 6 = 113 this is the angle supplementary to ∠LMN, therefore:
m∠LMN = 180 - 113 = 67°
karen peyton and annie all ran in a race karen ran the race in 43.52 seconds peyton time running the race was 2.17 seconds more than karen time what was peyton time
i really need help
Answer:
Peyton = 45.69 seconds to run the race
Step-by-step explanation:
Karen = 43.52 seconds
Peyton = k + 2.17
Peyton = 43.52 + 2.17
Peyton = 45.69 seconds
Answer:
45.69
Step-by-step explanation:
If Peyton's time running the race was 2.17 seconds more than Karen's time, then we can calculate Peyton's time by adding 2.17 seconds to Karen's time.
Karen's time: 43.52 seconds
Peyton's time: 43.52 + 2.17 = 45.69 seconds
Therefore, Peyton's time running the race was 45.69 seconds...
dont understand this sorry please help
The range of the following graph is [-2, 3]
What is Range?In mathematics, the range of a function is the set of all possible output values (also called the codomain) that the function can produce for its input values. The range is a subset of the codomain, and it describes the vertical extent of the function's graph. The range can be finite or infinite, and it can contain repeating values or be a continuous interval.
The values of y coordinate depicts the values of range
So, the range of the following graph is [-2, 3]
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Express tan V as a fraction in simplest terms.
U
21
T
35
The value of tan V as a fraction in its simplest terms is 4/3.
What is the value of tan V?The figure in the image is a right triangle.
Angle θ = V Adjacent to angle V = 21Opoosite to angle V = UTtan V = ?First, we determine side UT using pythagoras theorem
UT = √( 35² - 21² )
UT = √784
UT = 28
Hence, using trigonometric ratio
Tangent = Opoosite / Adjacent
tanV = UT / UV
tanV = 28/21
tanV = 4/3
Therefore, the value of tanV is 4/3.
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Stacy has 3 collector’s cards. She receives 2 more cards each week that she volunteers
at the student center.
Let x = the number of weeks.
Let y = the number of collector’s cards.
Which equation represents the amount of cards Stacy has?
Pls help me
The equation represents the amount of cards Stacy has: y = 2x + 3
At the beginning, Stacy has 3 collector's cards. Then, for every week she volunteers at the student center, she receives 2 more cards.
Let x = the number of weeks.
y = the number of collector’s cards.
So, after x weeks, she will have received 2x more cards. Therefore, the equation that represents the amount of cards Stacy has after x weeks is:
y = 2x + 3
Where y represents the number of collector's cards and x represents the number of weeks Stacy has volunteered at the student center.
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F
00
Which mapping does not represent a function?
5
10
15.
20-
5-
10:
15
20
5-
10-
15
20-
5.
101
15
20
25
30
35
40
25
30
35
40
25
30
35
40
25
30
35
40
The relation can be a function is discussed below.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range.
Given:
We Know that in a function a input have only one output.
There no input value whose have the two distinct output at a same time.
We have attached question is not understood.
let us take example
Is A = {(1, 5), (1, 5), (3, -8), (3, -8), (3, -8)} a function?
We write the above data in table format then
x y
1 5
1 5
3 -8
3 -8
3 -8
Here we have input value 1 have two outputs but same value 5.
Thus, the Given relation A is a function
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Write an absolute value inequality for the graph below. Use ask for your variable.
The absolute value inequality for the graph is given as follows:
|x| < 3.
What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|x| = x, x ≥ 0.
|x| = -x, x < 0.
It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.
From the graph, the shaded region is less than 3 units from the origin, as |-3| = |3| = 3, hence the inequality is defined as follows:
|x| < 3.
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Leon has already had 4 science quizzes this semester. Going forward, he expects to have 4 quizzes per month.
Write an equation that shows how the total number of science quizzes, y, depends on the number of months that have passed, x.
The equation that shows how the total number of science quizzes, y, depends on the number of months that have passed, x is y = 4x.
An equation is a mathematical statement that shows the relationship between two or more values.
In this case, Leon has already had 4 science quizzes this semester and expects to have 4 quizzes per month going forward.
We can use an equation to show how the total number of science quizzes, y, depends on the number of months that have passed, x.
The equation for this would be y = 4x, where x is the number of months that have passed and y is the total number of science quizzes.
This equation shows that for each month that passes, the total number of science quizzes increases by 4
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The ratio of the sides of two similar is 2/3. The area of the smaller triangle is 36cm. Find the area of the larger triangle?
Answer:
[tex]\text{Area of larger $\triangle$} = 81 \:cm^2[/tex]
Step-by-step explanation:
Given.
Ratio of corresponding sides of two similar triangles = 2:3 or [tex]\dfrac{2}{3}[/tex]
Area of smaller triangle = 36 cm²
By the property of area of two similar triangle,
Ratio of area of both triangles = (Ratio of their corresponding sides)²
[tex]\dfrac{\text{Area of smaller $\triangle$ }}{\text{Area of larger $\triangle$ }} = \left(\dfrac{2}{3}\right)^2}[/tex]
[tex]\dfrac{36}{{\text{Area of larger $\triangle$ }}} = \dfrac{4}{9}[/tex]
Cross-multiplying we get
[tex]36 \times \dfrac{9}{4} = \text{Area of larger $\triangle$}\\\\81 = \text{Area of larger $\triangle$}\\\\\text{Area of larger $\triangle$} = 81 \:cm^2[/tex]
why is 41 a prime number ?
The number 41 is a prime number because it can be divided only by the number one and itself to yield remainder zero.
A prime number is defined as the number which is an integer, greater than one and has the ability to divide only by one and the number itself. The division here indicates that remainder should be zero.
Now, we see that 41 is an integer and it is greater than one. Additionally, it can not be divided by other numbers expect one and itself. These reasons make 41 a prime number.
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In the screenshots it shows directions answer for each number
1) All the angles are,
∠ 1 = 72°
∠ 2 = 54°
∠ 3 = 54°
∠ 4 = 72°
2) All the angles are,
∠1 = 59°
∠2 = 90°
∠3 = 90°
∠ 4 = 31°
3) All the angles are,
∠ 1 = 22°
∠ 2 = 68°
∠ 3 = 68°
∠ 4 = 90° (right angle)
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
1) From first figure,
⇒ ∠ 3 = 54° (Two sides are equal hence two angles are also equal)
Hence, We get;
∠3 + ∠4 + 54° = 180°
54° + ∠4 + 54° = 180
∠4 = 180 - 108
∠4 = 72°
Hence, We get;
∠ 1 = ∠ 4
∠ 1 = 72°
And, ∠2 = ∠3 = 54°
2) From second figure,
∠ 4 = 90 - 59°
= 31°
And, We have;
∠1 = 59°
And, Diagonal bisect each other.
Hence,
∠ 2 = ∠ 3 = 90°
3) From third figure,
∠ 2 = 68°
Hence, 2 ∠ 1 = 180 - 136°
2 ∠ 1 = 44°
∠ 1 = 22°
And, We have;
Since, ∠ 2 = 68°
Hence, ∠ 3 = 68°
And. ∠ 4 = 90° (right angle)
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What size is a 1/4-20 drill hole?
The size is a 1/4-20 drill hole is 5.1mm
Many factors contribute to tap failure or breakage, but one fundamental and obvious factor is often overlooked. The problem is that this factor cannot be calculated accurately using traditional tap/drill charts.
There have been many changes since the tapping/drilling chart was first developed - programmable machines, rigid tapping, synchronous tapping, better tool holders, special tapping fluids, higher quality taps, etc.
Most importantly, the drill bits used to make the holes to cut have improved. Enhanced drill bit geometries, new chip flute geometries, coolant holes, improved HSS and carbide grades, and coatings such as TiN and TiCN greatly improve hole quality and size.
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how to calculate optimum replacement interval
The economic life cycle analysis does not take into account factors such as technological advancements or changes in regulatory requirements, which can affect the optimal replacement interval.
Yet, it is important to review and update the analysis periodically to ensure that the replacement interval remains optimal.
There are the normal steps for calculating the optimum replacement interval using the economic life cycle analysis:
1. Estimate the annual maintenance and repair costs for the item, based on historical data or industry standards.
2. Estimate the annual operating costs for the item, such as energy or fuel costs.
3. Compare the total cost of ownership for the item over its expected useful life to the cost of replacing the item with a newer or more efficient model.
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Divide 15a6b4 by 5a2b.
Answer:
Step-by-step explanation:
15a6b4/5a2b
you can scrap the a and b
15*6*4/ 5*2=
now you keep simplifying the fraction
3*6*4/2=
3*6*2=
36
What is the conversion of 300 meters to miles ?
The conversion of the units 300 meters to miles is equal to 0.1864miles ( round up to four decimal places ) .
Meters and Miles both are units used to measure the length or the distance between any two or more points.
Conversion factor relating meters and miles is equal to
One meter = 0.000621371 miles
To get the value of 300 meters in miles multiply by converting factor we get,
300 meters
= ( 300 ) × ( 0.000621371 ) miles
= ( 0.1864113 ) miles
= ( 0.1864 ) miles ( round up to four decimals places )
Therefore, the conversion distance 300 meters to miles is given by ( 0.1864 ) miles ( round up to four decimals places ) .
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Which expression is equivalent to 9(3+8)?
Answer:
9*3+9*8 or 9*11
Distributive property
Answer:
99
Explanation
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
1) Add the values 3 and 8 to get 11 ( 9*11 )
2) Multiply 9 x 11 = 99
if the given triangles form 90 degree angle
then it is right angle if not form 90 degree
angle then it is not
It is possible to determine if a triangle contains
a right angle using Pythagoras' theorem . If the
squares of the two shorter sides add up to the
Answer:
hypotenuse squared
Step-by-step explanation:
for example
if we have a triangle with sides 6,8, and 10
then
36+64=100
the complete equation is
[tex]\sqrt{a^{2} +b^2[/tex]=c
If your good at Geometric Congruence, please answer the questions below in the photos. Please help, thank you.
Answer:
X=22 because of the symmetrical angle so 158+158=316 and one full angle = 360 then 360-316=44 and there are two sides so 44÷2=22
Are the two triangles similar?
Yes or no?
How do you know? I
Yes, the two triangles are similar because they have equal angles.
What are similar triangles?Two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling.
Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.
The missing side of the first triangle is 180-(111+24)
= 180-135
= 45°
The Missing angle of the second triangle is 180-(45+24) = 180-79
= 111°
This means that the corresponding angle of the triangle are equal and hence they are similar.
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Yes, the triangles are similar.
How to find similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Therefore, similar triangle have the corresponding angles equal to each other and the corresponding sides as a ratio of each other.
Hence, If two triangles have two of their angles equal, the triangles are similar by AA(angles angles).
Hence, let's check if two angles are equal in the triangles as follows:
180 - 111 - 24 = 45 degrees.
Therefore, the triangles are similar.
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Solve for the variable.
B.
3x
A
4x - 1
О
F
x2-x-2
D
The variable x has no true value in the similar shapes
How to solve for the variableFrom the question, we have the following parameters that can be used in our computation:
The figure
Using the figure, we have the following ratio
3x : 4x - 1 = 4x - 1 : x² - x - 2
Factorize
3x : 4x - 1 = 4x - 1 : x² + x - 2x - 2
So, we have
3x : 4x - 1 = 4x - 1 : x(x + 1) - 2(x + 1)
This gives
3x : 4x - 1 = 4x - 1 : (x - 2)(x + 1)
Express as fraction
3x/(4x - 1) = (4x - 1)/(x - 2)(x + 1)
So, we have
3x(x - 2)(x + 1) = (4x - 1)(4x - 1)
Using a graphing tool, we have
x = undefined
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This video demonstrates the Monty Hall Problem, named after the host of the game show "Let's Make a Deal" that originally aired in the 1960s and 1970s. In this show, contestants picked one of three curtains, one of which had a car behind it and the other two had goats. After contestants chose a curtain, Monty Hall showed the contestant what was behind one of the two curtains the contestant had not chosen. Then he offered the contestant the option to switch her choice. The men in the video set up an experiment to compare the two strategies for playing this game. Strategy A is to stick with the original choice. Strategy B is to switch the choice. How many times do the men perform each strategy?
The correct answer as per the video that demonstrates the Monty Hall Problem is option C. 20. That is how many times the men perform each strategy A and B.
Goats can be found behind two curtains and one behind each door.
Anytime a contestant selects a curtain, one of the certain to curtains informs the contestant that a goat was hiding behind all of this.
The contestant must choose one of two curtains, one of which has a car in it and the other of which has a goat on it. Therefore, there is an equal chance of. choosing either a goat or a car.
Similar to that, provided.
Probability A for strategies and tactics is 10%, or 2 out of every 20 trials.
80% of Strategy B's chance is equal to 16 accomplishments spread across 20 directions.
Thus,
16 success = 2 success + 2 success + 2 success + 2 success + 2 success + 2 success + 2 success + 2 success
Taking the common factor,
16 success = 8 (2 success)
Taking percentage on both sides,
80% = 8×10%
80% = 80%
Hence, the result value is as expected.
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Note that the full question is:
This video demonstrates the Monty Hall Problem, named after the host of the game show "Let's Make a Deal" that originally aired in the 1960s and 1970s. In this show, contestants picked one of three curtains, one of which had a car behind it and the other two had goats. After contestants chose a curtain, Monty Hall showed the contestant what was behind one of the two curtains the contestant had not chosen. Then he offered the contestant the option to switch her choice. The men in the video set up an experiment to compare the two strategies for playing this game. Strategy A is to stick with the original choice. Strategy B is to switch the choice. How many times do the men perform each strategy?
A. 3
B. 10
C. 20
D. 40
