Answer:
x = 9
Step-by-step explanation:
if three or more parallel lines are intersected by two or more transversals, the parallel lines divide the transversals proportionally , that is
[tex]\frac{3}{x}[/tex] = [tex]\frac{2.5}{7.5}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
x = 3 × 3 = 9
Name the number system in which only the whole numbers less than 5 are used -
The inequality representing the number system in which only the whole numbers less than 5 are used is given as follows:
{x ∈ W| x < 5}.
What are the inequality symbols?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.The inequality representing numbers less than 5 is given as follows:
x < 5.
As the numbers are whole numbers, the inequality is defined as follows:
{x ∈ W| x < 5}.
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73 Kilogram (kg) equals how many pounds (lbs)
The conversion of 73 Kilogram (kg) pounds (lbs) is 160.9358 lbs
Conversion of kilogram to pounds.The standard metric conversion of a unit weight from one S.I. unit to another follows a standard approach that is universally acceptable and timeless. For the conversion of 1 kilogram to pounds, 1 kg is equivalent to 2.2046 lbs.
To convert 73 kilograms to pounds, multiply 73 kilograms by 2.2046 lbs. Mathematically;
[tex]=73 \ kg \times \dfrac{2.2046 \ lbs}{1 \ kg}[/tex]
Cancel the common units
[tex]=73 \times \dfrac{2.2046 \ lbs}{1}[/tex]
= 160.9358 lbs
Therefore, we can conclude that the conversion of 73 kilograms (kg) to metric pounds (lbs) is 160.9358 lbs.
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5 over 6 divided by 3 over 8 in simplest form and a fraction
The value of the fraction is A = 20 / 9
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction be represented as A
Now , the first fraction is p = 5/6
Let the second fraction be q = 3/8
Now , the equation is A = p/q
On simplifying , we get
A = ( 5/6 ) / ( 3/8 )
A = ( 5/6 ) x ( 8/3 )
On further simplification , we get
The fraction A = ( 20 / 9 )
Hence , the fraction is A = 20/9
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what is x?
a
14.9
b
9.8
c
8.5
d
17.2
The value of x is 0.85 of the equation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let the given equation be 4x+2=5.4
We need to find the value of x
Substitute 2 from both sides
4x=5.4-2
4x=3.4
Divide both sides by 4
x=0.85
Hence, the value of x is 0.85 of the equation.
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Number of Mini Muffins
12
Price (dollars)
5.40
Amari bought 12 mini muffins for $5.40.
At this rate, what is the price of 4 mini muffins?
Use the table if it helps you with your thinking.
1.10
วว
dollar
Answer:
$1.80 per 4 mini muffins
Step-by-step explanation:
12 mini muffins = 5.40
divide by 3
4 mini muffins = 1.80
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Nellie spit 11 pieces of candy equally among ffriends. Which expression shows how many pieces of candy each friend received?
Answer:
11/x because split is the same as divide so she split 11 pieces with x people
Step-by-step explanation:
I need help on this
The fact that both rays are equal in the case at hand is not given, hence the incorrect statement will be (A) AB = AC.
What are rays?By selecting a curve that is perpendicular to the wavefronts of the actual light and points in the direction of energy flow, one can create an idealized geometrical model of light or other electromagnetic radiation known as a ray in the field of optics.
By segmenting the actual light field into discrete rays that can be computationally propagated across the system using ray tracing techniques, rays are used to mimic the propagation of light through an optical system.
As a result, even extremely complicated optical systems can be mathematically or computationally investigated.
For as long as light waves travel through and around objects whose dimensions are significantly larger than the light's wavelength, approximate solutions to Maxwell's equations are appropriate for use in ray tracing.
So, in the given situation it is nowhere given that both rays are equal, and hence the wrong statement will be AB = AC.
Therefore, the fact that both rays are equal in the case at hand is not given, hence the incorrect statement will be (A) AB = AC.
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If f(x) = ln(1 - x), then find f '(x).
1 over the quantity 1 minus x
(1 - x)2
1 over the quantity 1 minus x squared
1 over the quantity x minus 1
The required derivative of f(x) = ln(1 - x) is f'(x) = -1 / (1 - x).
What is derivative?A derivative is a two-party contract whose price or value is based on an underlying asset. Futures, options, forward contracts, and swaps are the four most popular types of derivatives. It is a financial instrument whose price and value are determined by the underlying assets.
According to question:The derivative of the natural logarithmic function is given by:
d/dx [ln(u(x))] = 1/u(x) * du/dx
So, to find the derivative of f(x) = ln(1 - x), we need to find the derivative of the inside function, which is 1 - x:
f'(x) = 1/[1 - x] * d/dx [1 - x]
= 1/[1 - x] * (-1)
= -1 / (1 - x)
So the derivative of f(x) = ln(1 - x) is f'(x) = -1 / (1 - x).
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How do I check 3(x+2)+2(x-8)=25?
Answer:
You check a solution to an equation by replacing the variable in the equation with the value of the solution
Step-by-step explanation:
I need help with this please and thank you.
The given expression is a fifth-degree polynomial.
When does an expression represent a polynomial?An expression represents a polynomial when these following conditions are satisfied:
Integer exponents.Non-negative exponents.The exponents for this problem are given as follows:
5, 2 and 1.
Hence the function represents a polynomial, of the fifth degree, as the highest exponent is of 5.
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Please help me the formula for the boiling of a square prism is v=s 2 h what is the volume of a prism where a = 1.5 cm h= 8 cm
The formula for the volume of a square prism is given as V = s^2 * h. V = s^2 * h = 1.5^2 * 8 = 2.25 * 8 = 18 cm^3 So the volume of the square prism is 18 cubic centimeters.
this is what weegy answered
1.1 How many KES would you get for R150?
The amount of KES that one would have to get for R150 is given as 1053.54 KES
How many KES would you get for R150?The KES tells us of the Kenyan currency. That is the Kenyan shillings. The R is the name that is used to refer to the Rands
Hence we would have to convert rands to KES
1 south African Rand is given as 7.0236
then 150 rand would be = ?
Hence the amount you would get of KES is: 7.0236 * 150
= 1053.54 KES
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Four times a number subtracted from 28 equals 12. What is the number?
Answer: 10
Step-by-step explanation:
4x - 28 = 12
4x - 28 = 12 + 28
4x = 40
4x/4 = 40/4
x = 10
I need the answer plssssss
Answer:
12 inches
Step-by-step explanation:
21/3=7
84/7=12
12 inches
Graph the line that passes through the two points. (0, 0), (13, 73) find the slope
Answer:
m = 73/13
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
(0, 0), (13, 73)
We see the y increase by 73 and the x increase by 13, so the slope is
m = 73/13
which expression is equivalent to -2w-9+5w+3
The equivalent of the expression -2w-9+5w+3 is 3(w-2)
What is equivalent of expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s). Examples is 2x+ 6y is equivalent to 2(x+3y)
The expression -2w-9+5w+3 can be factorized;
collect like terms
-2w-9+5w+3 = -2w+5w-9+3
= 3w-6
= 3( w-2)
therefore the equivalent of the expression -2w-9+5w+3 is 3(w-2)
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line y= 2x-1 is there 30,61 on the line?
No, The point (30, 61) does not lie on the given line y = 2x - 1.
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
The line,
y = 2x -1
To check if the point (30, 61) is on the line y = 2x - 1, we need to substitute x = 30 and y = 61 into the equation and see if the equation holds true.
So, we have:
y = 2x - 1
61 = 2(30) - 1
61 = 60 - 1
61 = 59
Since 61 is not equal to 59, the point (30, 61) is not on the line y = 2x - 1.
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due tmrw pls help on A and B
Answer:
(a) x= 20 (b) x= 41
Step-by-step explanation:
(a)
180-54= 126
360-126-90= 144
7x+4= 144
7x= 140
x= 20
(b)
(n-2)(180)= (5-2)(180)
= 540
(2x-10)+3x+(4x+20)+(2x-5)+(2x+2)= 13x+7
13x+7= 540
13x= 533
x= 41
What is the equation of the line that passes through the point (5,8) and has a slope of 1
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 1}(x-\stackrel{x_1}{5})\implies {\Large \begin{array}{llll} y=x+3 \end{array}}[/tex]
What is the value of x? 60 10 x
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]\cos 60^{\circ}=\frac{x}{10} \\ \\ \frac{1}{2}=\frac{x}{10} \\ \\ x=5[/tex]
I CAN GRAPH INEQUALITIES ON THE NUMBER LINE.
←+
x ≥6
H
15.5 > X
The graph of given inequalities is plotted on the number line is attached below.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequalities are x≥6 and 15.5>x.
The solution set of the inequality x≥6 is
{6, 7, 8, 9, 10, 11, 12, 13, 14,......}
Interval Notation: [6,∞)
x<15.5
Interval Notation: (−∞, 15.5)
Therefore, the solution set of the inequality x≥6 is {6, 7, 8, 9, 10, 11, 12, 13, 14,......}.
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What is the percent yield formula?
Answer:
Step-by-step explanation:
The percent yield formula is used to calculate the efficiency of a chemical reaction in producing a desired product. It is defined as the ratio of the actual yield of a product to its theoretical yield, expressed as a percentage.
The formula for percent yield is:
Percent Yield = (Actual Yield / Theoretical Yield) * 100%
where:
Actual Yield is the amount of product actually produced in the reaction.
Theoretical Yield is the maximum amount of product that could be produced in a reaction under ideal conditions, calculated from the stoichiometry of the reaction.
By using this formula, you can determine how well a reaction is performing and identify areas for improvement to increase the yield of the desired product.
A student needs at least three notebooks and three pencils. Notebooks cost #60 and pencils #36 and the student has #360 to spend. The student decides to spend as much as possible of his #360. a How many ways can he spend his money? b Does any of the ways give him change? If so, how much?
Answer:
Two ways.
(1) 4 notebooks,3 pencils, have change $12;
(2)3 notebooks, 5 pencils, have no change.
Step-by-step explanation:
set student buy x notebooks and y pencils,
x≥3,y≥3,
60x+36y≤360
if x=3, 180+36y≤360
36y≤180
y≤5
and y≥3, so y={3,4,5}
(1)when y=3, 60x≤360-36x3=252, x≤4.2,so x=4,
and change=360-36x3-60x4=12
(2)when y=4, 60x≤360-36x4=216, x≤3.6,so x=3,
and change=360-36x4-60x3=36, since student have to spend as much as possible of his money, $36 can buy a pencil, so this is not accepted.
(3)when y=5, 60x≤360-36x5=180, x≤3, so x=3,
and change =360-36x5-60x3=0
The student has two ways to spend his money on notebooks and pens. In one option, she can buy 4 notebooks and 3 pens and in the other option she can buy 3 notebooks and 5 pens.
How to find the possibilities of the student to buy pens and notebooks?To find the student's possibilities to buy pens and notebooks we must take into account his total budget of $360. Additionally, the values of the notebooks and pens that are: $60 and $36 respectively.
We must multiply the value of the notebooks by the number of notebooks that we believe the student can buy, this would be a range between 3 and 4 notebooks. Additionally, once we decide the number of notebooks we can divide the remaining money in the value of the pens to find the number of pens that the student can buy. According to the above:
4 * 60 = 240360 - 240 = 120120 / 36 = 3,33336 * 3 = 108108 - 120 = 123 * 60 = 180360 - 180 = 180180 / 36 = 55*36=180Learn more about notebooks in: https://brainly.com/question/29462625
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There are 4,000 books in the town's library. Of these, 2,400 are fiction. To find the percent of the books that are fiction, set up the percent equation.
Answer: 60%
Step-by-step explanation:
2,400/4,000 x 100/1
0.6 x 100 = 60%
Alicia hikes to see a waterfall. She records the weight of the items she put in her backpack in a table. Alicia's camera weighs 1\dfrac35\text{ kg}1 5 3 kg1, start fraction, 3, divided by, 5, end fraction, start text, space, k, g, end text less than her lunch. Record the weight of Alicia's camera in the table.
The weight of Alicia's camera is 8/5 kg. We can record this value in the table.
What is a fraction?
A fraction is a number that represents a part of a whole. It is expressed as a ratio of two numbers, where the top number is called the numerator and the bottom number is called the denominator.
We need to record the weight of Alicia's camera in the table. We know that the weight of her lunch is greater than the weight of her camera, and we know that the weight of her lunch is 2 kg. Therefore, the weight of her camera must be less than 2 kg.
We are also given that the weight of her camera is 1\dfrac35 kg. To convert this mixed number to an improper fraction, we can multiply the whole number (1) by the denominator of the fraction (5) and add the numerator (3), and then put the result over the denominator:
[tex]1\dfrac35 = \dfrac{1\times5+3}{5} = \dfrac{8}{5}[/tex]
Therefore, The weight of Alicia's camera is 8/5 kg. We can record this value in the table.
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Two parallel lines are cut by a transversal as shown below.
Suppose m3=41°. Find m6 and m2 8.
Since the two parallel lines are cut by a transversal and m∠3 = 41°, the measure of angles m∠6 and m∠8 include the following:
m∠6 = 139°.
m∠8 = 139°.
What are parallel lines?In Mathematics, parallel lines are two lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.
What is the Alternate Interior Angles Theorem?In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent:
m∠3 = m∠5 (alternate interior angles)
m∠5 + m∠6 = 180° (linear pair postulate).
41° + m∠6 = 180°.
m∠6 = 180° - 41°
m∠6 = 139°
m∠6 = m∠8 (vertical angles theorem).
m∠8 = 139°.
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What is the known probability when two events will both occur such that the probabilities of the individual events are from its product?
Answer:
The probability that two independent events will both occur can be calculated by multiplying the probabilities of the individual events. If event A has probability p(A) and event B has probability p(B), then the probability that both events A and B occur is given by:
p(A and B) = p(A) * p(B)
This relationship holds because the occurrence of event A does not affect the occurrence of event B, and vice versa. Hence, the two events are considered to be independent.
For example, if event A has a probability of 0.6 of occurring and event B has a probability of 0.7 of occurring, then the probability that both events will occur is 0.6 * 0.7 = 0.42.
What is the surface area of the square pyramid net?
The surface area of a square pyramid net can be found by adding the areas of the base and the four triangular faces.
First, find the area of the base by multiplying the length and width of the square base.
Area of base = length × width
Next, find the area of one of the triangular faces by using the formula:
Area of triangle = 0.5 × base × height
Since there are four triangular faces in a square pyramid, multiply the area of one triangle by four to find the total area of the triangular faces.
Area of triangular faces = 4 × (0.5 × base × height)
Finally, add the area of the base and the area of the triangular faces to find the total surface area of the square pyramid net.
Surface area = Area of base + Area of triangular faces
= (length × width) + (4 × (0.5 × base × height))
= (length × width) + (2 × base × height)
So, the surface area of a square pyramid net is the sum of the area of the base and the area of the four triangular faces.
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#3. The hourly tides (in feet) on a recent day in Seattle, Washington, can be modeled using the sinusoidal function y = 4.5 cos + 5.0, where the height (y) is a function of time (x). Time x=0 represents midnight. What is the water level at 9 a.m.?
Answer:At low tide the water reaches the 1-foot mark. Assume that high tide occurs at 12 noon and at midnight, and that low tide occurs at 6 pm and 6 am.
Step-by-step explanation:
how do i calculate percentage increase
Answer:
The percentage increase can also be calculated using this method. Imagine you have a function that adds the number 1 to a number between 0 and 10, which we call T. Now the percentage of the function's answer will be the percentage increase from T.
[tex]f=1+t\\t=0-10\\d=f\frac{t}{100} = percentage- f- of- t[/tex]
With this method, we obtain the percentage increase of the f function.
Step-by-step explanation: