x=0.236 prove algebraically that x can be written as 13/55
Answers
Bοth fractiοns are nοt equal, we cannοt prοve algebraically that x can be written as 13/55.
What is the fractiοn?A fractiοn is a numerical quantity that represents a part οf a whοle οr a ratiο between twο quantities.
Tο prοve algebraically that x can be written as 13/55, we need tο manipulate the expressiοn x=0.236 until we οbtain the desired fοrm.
First, we can write 0.236 as a fractiοn by placing it οver 1:
0.236 = 236/1000
We can simplify this fractiοn by dividing bοth the numeratοr and denοminatοr by their greatest cοmmοn factοr, which is 4:
236/1000 = (236 ÷ 4) / (1000 ÷ 4) = 59/250
Nοw, we can check if 59/250 can be written in the fοrm 13/55. Tο dο this, we can simplify bοth fractiοns tο their lοwest terms:
59/250 = (59 ÷ 5) / (250 ÷ 5) = 11/50
13/55 = (13 ÷ 1) / (55 ÷ 1) = 13/55
Hence, bοth fractiοns are nοt equal, we cannοt prοve algebraically that x can be written as 13/55.
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Related Questions
Type the correct answer in the box. Use numerals instead of words. If necessary, use/ for the fraction bar.
Given the figure, find the total area of the shaded region.
D
8-
6-
4-
2-
O
-2-
o
S
The area of the shaded region is
B
R
8
с
square units
Answers
The value of the total area of the shaded region are,
⇒ 42 units²
We have to given that;
Sides of rectangle are,
AB = 9
BC = 6
Hence, The area of rectangle is,
⇒ 9 x 6
⇒ 54 units²
And, Area of triangle is,
A = 1/2 × 4 × 6
A = 12 units²
Thus, The value of the total area of the shaded region are,
⇒ 54 - 12
⇒ 42 units²
So, The value of the total area of the shaded region are,
⇒ 42 units²
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can you please tell me how to do this ? I don't get it.
Answers
Answer:
image 1 is a point. Image 2 is a line . image 3 is a line . image 4 is a segment . image 5 is a ray . image 6 is a plane . image 7 is a plane .
Step-by-step explanation:
a plane is named by an italicized letter and has 3 non collinear points. Its infinite .
A point is a dot.
a line has no end its infinite .
A segment has two endpoints and isnt infinite.
A ray has one endpoint and goes infinte in one direction only .
36
Is
✓11 rational or irrational?
25
Answers
Answer:
rational
Step-by-step explanation:
can you make the answer into a fraction or decimal yes you get 4.77
Answer:
the answer is rational
Example:
how do i solve this angle problem?
Answers
Answer:
x = 12
Step-by-step explanation:
NB. Supplementary angles / Angles of a straight line add up to 180°
180° - 124° (the given angle)
= 56°
This means that the other part of the angle must be equal to 56° ...in other words (4x + 8)° = 56°
(4x + 8)° = 56°
56° - 8°
= 48°
So 4x = 48°
-Divide both sides by 4 in order to get rid of the 4 infront of the x so that you're able to get x alone to solve.
4x ÷4 = 48° ÷4
x = 12
You can substitute 12 in the place of x to see if this is correct.
(4(12) +8)° = 56°
56° + 124° = 180°
....therefore x = 12
someone please HELP ME with this!!
a.) Is the following mapping an example of a Function or Relation?
b.) Identify the domain of the mapping use a comma to separate your answers. No brackets are needed.
Answers
Answers:
a) Function
b) Domain = {3, -4, -3}
You won't type in the curly braces for the domain, but it's common to use them to indicate we're talking about a set.
========================================
Explanation:
We have a function because each item in the domain (blue oval) goes to exactly one item in the range (green oval). We don't have two arrows or more originating from one item in the domain. So each input leads to exactly one output.
The domain is the set of allowed inputs. So the domain is the set {3, -4, -3}. Those items are found in the blue oval. As your teacher instructs, you won't be typing in the curly braces, but it's common to see the domain listed as a set like this. Optionally you can sort the items from smallest to largest, but it's not necessary. This is because order doesn't matter in a set.
Answer:
a.) Function
b.) 3, -4, -3
Step-by-step explanation:
hope this is right!
-Jules :)
Choose the highest common factor (HCF) of 6xy^3 and 9x^2y
A= x^2y^3
B= 3xy
C= 54x^3y^4
D=18x^2y^3
Answers
Answer:
B= 3xy
Step-by-step explanation:
6xy^3= 2ₓ3ₓ x ₓyₓyₓy
9x^2y= 3ₓ3ₓ x ₓ x ₓ y
common factors = 3, x , y
HCF: 3 ₓ x ₓ y
=3xy
The area of a
parallelogram is
18 cm
The base
measures 6cm.
What is the
height?
Answers
The height of the parallelogram is 3 cm.
The height of the parallelogram can be found using the formula: Area = base x height. We are given that the area of the parallelogram is 18 cm and the base measures 6 cm. Therefore, we can substitute these values into the formula and solve for the height.
18 cm = 6 cm x height
To solve for height, we can divide both sides of the equation by 6 cm.
18 cm ÷ 6 cm = height
Therefore, the height of the parallelogram is 3 cm.
In summary, the height of the parallelogram can be found using the formula Area = base x height. We are given the area and base measurements, which allow us to solve for the height using simple algebraic equations. The height of the parallelogram is 3 cm.
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express in two line copy(-2)×(+3)
(with photo)
Answers
Answer:
Step-by-step explanation:
The product of a negative two and a positive three is equal to negative six (-6).
What is the least common multiple of 10 and 15?
Answers
Answer:
30
Step-by-step explanation:
15x2=30
10x3=30
help please
ik ik, its an easy question, its a long story, i just need an answer
Answers
Answer:
(5 , -6) I believe this is the answer because I tried it
Will give branliest <33
This triangle has one side that lies on an extended line segment.
Based on this triangle, what statement about x is true?
x = 33 because 180−147=33
x = 62 because 147−85=62 and 85 + 62 = 147
x = 95 because 180−85=95 and 85 + 95 = 180
x = 118 because 180 − 147 + 85 = 33 + 85 = 118
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I’m confused, can someone explain?
Answers
Answer:
-3 < x < 7
Step-by-step explanation:
The domain of a graph is all of the x-values that are included in the function. Since the graph is continuous (one connected line), you can determine the domain by identifying the x-values associated with the line's endpoints. These values are x = -3 and x = 7. Remember, the x-value located on a closed dot is not included in the domain. Therefore, the domain of the graph is -3 < x < 7.
Match the given situations with their correct probabilities. Answers should be expressed as fractions in simplest form. For questions 1-2. there are 52 cards in a deck of cards. There are 13 of each suit (spades, diamonds, hearts, clubs)What is the probability of picking a spade from standard deck of playing cards?4/131/51/42/37/525/122/13
Answers
The probability of an event happening is calculated by possible events divided by total events.
From a standard deck of 52 cards, there are 13 spades.
So the possible events are 13 and the total events are 52
This will be:
prob = 13/52 = 1/4
The answer is 1/4
solve the inequality by using a sign chart
thanks
Answers
Answer:
x>0
(0, infinity symbol)
Find the radius of the sphere with a volume of 108/192π cubic feet. Write your answer as a fraction in simplest form.
Answers
The radius of a sphere whose volume is given above would be =3√37/64
How to calculate the radius of a sphere?To calculate the radius of a sphere, the formula that should be used is the formula for the volume of a sphere which would be given below:
Volume of sphere = 4/3πr³
where;
Volume = 108/192π
radius = ?
That is ;
108/192π = 4/3× π × r³
The π will cancel out each other, then make r³ the subject of formula;
r³ = 108×3/192×4
= 27/64
r = 3√37/64
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what percentage of the national collegiate athletic association's (ncaa) men's basketball players enter the professional ranks
Answers
Answer: the answer is 1.2%
A store sells two types of tiny crystals. One of the crystals is a triangular prism whose dimensions are shown at the right. The other crystal is shaped like a rectangular prism with a length of 26 millimeters, a width of 8. 5 millimeters, and a height of 7 millimeters. Alice says that the volume of the rectangular prism is greater than two times the volume of the triangular crystal. Find the volumes to prove whether or not Alice is correct
Answers
Alice says that the volume of the rectangular prism is greater than two times the volume of the triangular crystal.
The above statement is true.
The prism on the right is a rigid body whose two faces (called bases) are polygons. The bases of the regular prisms have the same size and shape and are parallel to each other. The remaining faces are rectangles perpendicular to the base.
The volume of a prism is defined as the amount of space the prism occupies. A prism is a solid three-dimensional shape with two equal sides and another side similar to a parallelogram. The units of volume of a prism are cubic meters, cubic centimeters, cubic inches, or cubic feet.
Rectangular Prism:
The volume of a rectangular prism is defined as the space occupied inside the rectangular prism. A rectangular prism is a polyhedron with two pairs of congruent and parallel bases. It has 6 faces (all rectangular), 12 sides and 8 vertices. Since a rectangular prism is a three-dimensional shape (three-dimensional shape), the unit of volume of a rectangular prism is cm3, m3, etc. In mathematics, a polyhedron with all these properties is called a cuboid.
According to the Question:
Given that:
Length = 26 millimeter
Width = 8.5 millimeter
Height = 07 millimeter.
Now,
Area of Rectangle = Length × Width
= 26 × 8.5 millimeter
= 221 millimeter square.
Now,
Volume of rectangular Prism = Area of rectangle × height
= 221 × 07
= 1547 cubic millimeter.
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Seven more than the quotient of a number and 2 is -4
Answers
Answer:
x/2 + 7 = -4
Step-by-step explanation:
7 more just means plus 7
a quotient of a number and blank basically is 'a number' (usually x) over a the number given if that makes sense. so in our scenario its x/2
'is' basically means is equal to
put it all together and you get x/2 + 7 = -4
hope this helps <3
the points $(1,-2)$ and $(-4,10)$ are adjacent vertices of a square. what is the perimeter of the square?
Answers
The perimeter of the square is 52 units.
In this question,
the points (1, -2) and (-4, 10) are adjacent vertices of a square.
We need to find the perimeter of the square
The side length of a square is the distance between given two points.
Let a be the side length of the square.
\(a=\sqrt{(-4-1)^2+(10-(-2)^2)}\\\\ a=\sqrt{25+144}\\\\ a=\sqrt{169}\\\\ a=13\)
The side length of the square is 13 units.
so, the perimeter of a square would be,
P = 4a
P = 4 × 13
P = 52 units
Therefore, the perimeter of the square is 52 units.
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What is the function of rational root theorem?
Answers
A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.
A polynomial expression is given and after solving them we get the two values known as the roots of the function.
These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .
We should use the rational root theorem only when the value of coefficients are small.
The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,
p is an integer factor of the constant term a0, and
q is an integer factor of the leading coefficient an.
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Lydia ran a 5-kilometer race in 22 minutes Janet ran a 2 km race in 8.5 minutes which Runner run the faster rate
Answers
Answer:
You need to figure out how many minutes per kilometer.
Lynda ran 22 divided by 5 = 4.4 minutes per kilometer
Janet ran 8.5 divided by 2 = 4.25 minutes per kilometer
Therefor, Janet ran the faster race.
Step-by-step explanation:
Given h(x) = -x+5, solve for x when h(x) =0
Answers
The value of h(x) = 0 gives x=5.
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 b. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
h(x) = -x + 5
So, for h(x)= 0 we have
-x + 5= 0
now, solving for x
-x = -5
x= 5
Thus, the value of x is 5.
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. Find AC if AD = x + 3 and DC = 2x - 17.
A А
Answers
Answer:
Step-by-step explanation:
x + 3 = 2x - 17
-x + 3 = -17
-x = -20
x = 20
20 + 3 + 2(20) - 17
20 + 3 + 40 - 17
63 - 17 = 46 = AC
Which triangle represents a rotation? What is the center of rotation if the triangle
Answers
Answer:
the green one, (0,0)
Step-by-step explanation:
red is a reflection, not a rotation
Mike bought 20 packets of chips for his birthday party.he kept 4 packets with him and distributed the remaining to his friends attending his party. After the party he discovered 3 unopened packets of chips. How many packets of chips has he got?
Answers
Answer:
Step-by-step explanation:
its just 4 + 3
Answer: 7
A cable television repairman charges $35 to go to a customer’s home. He charges an additional $20 per hour for the repair. Petra paid the repairman a total of $85 to come to her home and make a repair. How many hours did it take for the repairs?
Answers
Answer: It took 2 and a half hours for the repairs
Step-by-step explanation:
subtract 35 dollars from the total payed of 85 dollars you're left with 50 dollars we know the repairman charges and extra 20 dollars for every hour he's doing the repairs divide the 50 dollars more she had to pay and divide it by the 20 dollars he charges per every hour he's making repairs and you'll get 2.5 hours
The number of hours used for the repair is 2 1/2 hours.
Let the number of hours used for the repair be represented by h
Based on the information given, the equation to solve the question will be:
35 + (20 × h) = 85
35 + 20h = 85
Collect like terms
20h = 85 - 35
20h = 50
Divide both side by 20
20h/20 = 50/20
h = 2.5 hours
In conclusion, it took 2 1/2 hours for the repair.
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Let B and C be two ordered bases of R^3, and consider a linear transformation T : R^3 -> R^3. Suppose that the change of base matrix Ic, B is given by [-3 -1 1] [-1 2 -1] [-1 -3 -2] and the coordinate matrix Tc,c of T with respect to C is given by [2 -2 -2][-1 -3 -1] [2 0 -1] Use this to determine coordinate matrix TB,B of T with respect to B! [ __ __ __ ]TB,B = [ __ __ __ ][ __ __ __ ]
Answers
The coordinate matrix of T with respect to the base B is [-9 -11 -8].
What is coordinate?Coordinate in math is a pair of numbers that represent a specific point in a two-dimensional space or a three-dimensional space. In two-dimensional space, it is written in the form (x, y) where x is the horizontal coordinate and y is the vertical coordinate. In three-dimensional space, it is written in the form (x, y, z) where x is the horizontal coordinate, y is the vertical coordinate, and z is the depth coordinate. Coordinates are used to plot points on a graph, calculate the distance between points, and to identify the location of a point.
Solution:
To determine the coordinate matrix of T with respect to the base B, we need to multiply the change of base matrix Ic,B with the coordinate matrix Tc,c of T with respect to C.
Multiplying the two matrices, we get:
TB,B = Ic,B × Tc,c
= [-3 -1 1][2 -2 -2] + [-1 2 -1][-1 -3 -1] + [-1 -3 -2][2 0 -1]
= [-9 -9 -7] + [-2 -2 4] + [2 -3 -5]
= [-9 -11 -8]
Therefore, the coordinate matrix of T with respect to the base B is [-9 -11 -8].
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Which numbers are a distance of 3 units from 12 on a number line?
Select each correct answer.
Answers
Answer:
9 and 15
Step-by-step explanation:
ans should be 9 and 15
i dun really understand what this qns wants u to find really bad qns to test
a food pantry package weighs 60 pounds. each package contains 4 identical bags of pasta and a single 7 pound bag of lentils.
Answers
You didn't include a question.
But I am going to make some assumptions here.
Let P = the weight of a bag of pasta.
The equation would be:
60 = 4P + 7
Solve for P to see how much one bag of pasta weighs.
53 = 4P
Divide both sides by 4.
53/4 = P
13.25 = P
A bag of pasta weighs 13.25 lbs.
What is the slope of the line
Answers
Answer:
-1/2 is the slope
Step-by-step explanation:
this is because you move 4x on the other side of the equasion making it -4x, you divide by 8 and it makes -1/2x