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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Part 1: Mapping Diagrams
Look at the mapping diagrams below, which represent two different relations. The relation on the
left is a function since each value in the blue set is paired with one value in the yellow set. For
the function on the left, the domain is {0, 1, 2, 3) and the range is {0, 1.69, 3.38, 5.07).
1. Is the relation on the right a function? Explain.
20
70
-60
3
-6
2
5
Based on the definition of a function,
1. The relation on the right is not a function.
2. Domain: {20, 70, -60}
Range: {3, -6, 2, 5}
What is a Function?A relation that is defined as a function has each domain value that is assigned to only one possible range value, in such a way that, each of the domain element cannot have two different range element that corresponds to it.
1. The relation on the right has a domain element, -60, which corresponds to two different range element, -6 and 2.
Therefore, the relation on the right is not a function.
2. The domain of the relation that is not a function is: {20, 70, -60}
The range of the relation that is not a function is: {3, -6, 2, 5}
In summary, based on the definition of a function,
1. The relation on the right is not a function.
2. Domain: {20, 70, -60}
Range: {3, -6, 2, 5}
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Approximate 5√3 to the nearest tenth.
Please helpppp!!!!!
A tree casts a shadow that is 28 feet long. A person who is 5 feet tall casts a shadow that is 8 feet long. Using similar triangles and proportions find the height x of the tree. Show all your work.
Answer:
Step-by-step explanation:
30 feet.
a group of students is given a 10 by 10 grid to cut into individual unit squares. the challenge is to create two squares using all of the unit squares. their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. which equation represents x, the side length of the greater square? x2 (x – 2)2
The correct option is C. x² + (x – 2)² = 100.
The equation which depicts x, the side length of the greater square is x² + (x – 2)² = 100.
What is square?In geometry, a square is a plane figure with 4 equal sides as well as 4 right (90°) angles. A square is a subset of a rectangle (an equilateral rectangle) and a subset of a parallelogram (an equilateral & equiangular one).
Now, as per the question;
Let x be the larger square's side length. Because it is two units larger than the relatively small square, the smaller square's side length would be (x-2).The side length squared, or the quantity of unit squares contained in the larger square, would give the quantity of unit squares within the larger square or x².The side length squared, or the number of unit squares in the smaller square, would give the number of unit squares within the smaller square or (x-2)².These total the quantity of unit squares in a 10 by 10 square, or 10² = 100.This is given by relation shown by expression;
x² + (x-2)² = 100
Therefore, the equation which represents x, the side length of the greater square is x² + (x-2)² = 100.
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The complete question is-
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.
Which equation represents x, the side length of the greater square?
A. x² + (x – 2)² = 10
B. x² + 2x² = 10
C. x² + (x – 2)² = 100
D. x² + 2x² = 100
The measure of m/JML is 85°. Select all the true statements.
M
(6x + 2)°
K
(4x+3) °
L
A. m/JMK = 10°
B. m/KML = 11°
C. m/JMK = 50°
D. m/KML = 35°
E. m/JMK - m/KML = m/JML
Answer:
C an D are correct
Step-by-step explanation:
we add the two angles so as to find the value of x,
(6x+2)+(4x+3)=85
10x+5=85
10x=80
x=8
m/JMK=6x+2=6(8)+2=48+2=50°
m/KML=4x+3=4(8)+3=32+3=35°
so only C and D are correct
The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively. Then the correct options are C and D.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The measure of angle ∠JML is 85°. ∠JMK = 6x + 2 and ∠KML = 4x + 3.
We know that the sum of the angles ∠JMK and ∠KML is equal to the angle ∠JML. Then we have
∠JMK + ∠KML = ∠JML
6x + 2 + 4x + 3 = 85°
10x = 80°
x = 8°
Then the angles will be
∠JMK = 6 × 8 + 2
∠JMK = 48 + 2
∠JMK = 50°
∠KML = 4 × 8 + 3
∠KML = 32 + 3
∠KML = 35°
The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively.
Then the correct options are C and D.
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Solve for X
[tex]\log _ { 3 } x = 9 \log _ { x } 3[/tex]
pls gv step by step explaination
Answer:
[tex]x=27, \quad x= \dfrac{1}{27}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{3.7 cm}\underline{Logs Laws}\\\\$\log_ba=\dfrac{\log_ca}{\log_cb}$\\\\\\$\log_ab=c \iff a^c=b$\\\end{minipage}}[/tex]
Given equation:
[tex]\log_3x=9\log_x3[/tex]
Change the base of 9logₓ3 to base 3:
[tex]\begin{aligned}\implies \log_3x & =9\log_x3\\\\& =\dfrac{9\log_33}{\log_3x}\\\\&=\dfrac{9(1)}{\log_3x}\\\\&=\dfrac{9}{\log_3x}\end{aligned}[/tex]
Therefore:
[tex]\implies \log_3x=\dfrac{9}{\log_3x}[/tex]
[tex]\textsf{Let }\log_3x=u:[/tex]
[tex]\implies u=\dfrac{9}{u}[/tex]
[tex]\implies u^2=9[/tex]
[tex]\implies u=\pm3[/tex]
[tex]\textsf{Substitute back in }u=\log_3x:[/tex]
[tex]\implies \log_3x=\pm3[/tex]
Case 1
[tex]\implies \log_3x=3[/tex]
[tex]\implies 3^3=x[/tex]
[tex]\implies x=27[/tex]
Case 2
[tex]\implies \log_3x=-3[/tex]
[tex]\implies 3^{-3}=x[/tex]
[tex]\implies \dfrac{1}{3^3}=x[/tex]
[tex]\implies x=\dfrac{1}{27}[/tex]
Answer: x=3 x=1/27
Step-by-step explanation:
[tex]log_3x=9log_x3\\[/tex]
The area of acceptable values:
[tex]x > 0\ \ \ \ x\neq 1\\Hence,\\x\in(0,1)U(1,+\infty)[/tex]
Solution:
[tex]\displaystyle\\log_3x=\frac{9}{log_3x} \ \ \ \ \ \boxed{ log_ab=\frac{1}{log_ba} }\\\\Multiply\ both\ parts\ of\ the\ equation\ by\ log_3x :\\\\log^2_3x=9\\log^2_3x=3^2\\ log_3x=б3\\\\log_3x=3\\\\x=3^3\\x=3*3*3\\x=27\\\\\\log_3x=-3\\x=3^{-3}\\\displaystyle\\x=(\frac{1}{3})^3\\ x=\frac{1}{3}*\frac{1}{3}*\frac{1}{3} \\ x=\frac{1}{27}[/tex]
Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
Answer:
Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
Step-by-step explanation:
Find the value of t0.05 for a t-distribution with 9 degrees of freedom. round your answer to three decimal places, if necessary.
Not sure how to go about this
A bag contains 25 balls 20 of which are blue what percentage of balls are not blue
Answer:
20%
Step-by-step explanation:
20/25 = blue
This means 5/25 of the balls in the bag are NOT blue
(25-20 = 5)
We need to convert 5/25 to a percentage
[tex]\dfrac{5}{25} = \dfrac{5\times4}{25\times4}=\dfrac{20}{100}[/tex]
% = per cent
"per" means "out of"
"cent" means "one hundred"
so
20/100 = 20%
p+17=9 i need help ASAP
Answer:
P = -8
Step-by-step explanation:
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 75 pounds. There were 3 more small boxes shipped than large boxes and the total weight of all boxes was 1455 pounds. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system
Answer: The equations are:
X+3=Y;
45X + 75Y = 1455 ;
The variables used are X and Y specifying number of small and large boxes
Step-by-step explanation:
Let X be the number of small boxes
Let Y be the number of big boxes
The first equation is: X+3=Y; ( Since there were 3 more small boxes shipped than large boxes )
The second equation is: 45X + 75Y = 1455 ( this is because the small box weighs 45 pounds and big box weighs 75 pounds. The total weight of the small boxes is 45 times the weight of each individual box. And the total weight of the second boxes is equal to 75Y.)
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Answer:
Step-by-step explanation:
The variables used are A and B specifying number of small and large boxes
Let the number of small box is A
Let the number of large box is B
The first equation is: A+3=B;
( Since there were 3 more small boxes shipped than large boxes )
The second equation is: 45A + 75B = 1455 ( this is because the small box weighs 45 pounds and large box weighs 75 pounds. The total weight of the small boxes is 45 times the weight of each box. And the total weight of the second boxes is equal to 75B.)
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Solve for x in this figure.
Enter your answer in the box.
x = °
The value of x in the hexagon given in the image above is: 132°.
What is the Sum of an N-Sided Polygon?The sum of all interior angles of an n-sided polygon = (n - 2)180, where n is the number of angles/sides of the polygon.
The polygon shown is a hexagon with six (6) interior angles. Find its sum.
Sum of the hexagon = (6 - 2)180
Sum of the hexagon = 720°
This means that if we add the measures of all the six interior angles of the given hexagon, we would get 720°.
Therefore:
x + 108 + 113 + 132 + 75 + 160 = 720
x + 588 = 720
x = 720 - 588
x = 132°
Thus, the value of x in the hexagon given in the image above is: 132°.
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The larger of two numbers is 17 more than the smaller number. The sum of the two numbers is 71.
Answer:
The smaller number is 27 and the larger number is 44
Step-by-step explanation:
Let x = the larger number
Let y = the smaller number
x + y = 71
x = y + 17 Substitute in y + 17 for x in the first equation.
x + y = 71
y +17 + y = 71 Combine the y's.
2y + 17 = 71 Subtract 17 from both sides of the equation
2y = 54 Divide both sides of the equation by 2
y = 27. Plug 27 in for y for either of the two original equation to find x
x + y = 71
x + 27 = 71 Subtract 27 from both sides of the equation
x = 44
What is the output of the following command, given that value1 = 2.0 and value2 = 12
if value1 = 2.0 and value2 = 12, then the output of a following command = 24.0
The correct option is A.
Briefing:The output of the given document is issued is 24.0 (2.0 * 12=24, i.e., it is simply the multiplication operation) if both values, i.e., value 1 and value 2, are taken into consideration as decimal data type values.
A simple data type is what, exactly?There is only one value represented by simple data types. Integer: a basic data type used in the creation of policies. A positive or negative whole number is represented by the integer data type. 0, 1, 2, 3, and 4 are examples of integers.
Why do we employ data types?An attribute of data that instructs a computer system how to interpret its value is called the data type. Knowing the different types of data makes it possible to collect information in the desired format and ensure that the values of each property are as expected.
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I understand that the question you are looking for is:
What is the output of the following command, given that value1 = 2.0 and value2 = 12? print (value+ value2)
A) 24.0
B) value + value2
C) 24
D) 2.0 + 12
What is 90.5-7.83? Please show your work too! Thanks.
The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.
Is the sequence of transformations mapping △ABC to △DEF an isometry?
Yes. The sequence of transformations is an isometry because it contains only non-rigid transformations.
Yes. The sequence of transformations is an isometry because it contains only rigid transformations.
No. The sequence of transformations is an isometry because it contains only non-rigid transformations.
No. The sequence of transformations is an isometry because it contains only rigid transformations.
Answer:
Yes. The sequence of transformations is an isometry because it contains only rigid transformations.
Step-by-step explanation:
Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.
The rule of the transformation is given as,
(4, -4) ⇒ (1 - x, 2 - y)
Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.
The graph of transformation is attached below.
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Help, please.
I’m not sure how to do it, but it’s part of a puzzle.
Answer:
x = 14 y = 59
Step-by-step explanation:
the angle (5x - 11) is equal to the angle (3x + 17) and 3x+ 17 is equal to y
5x - 11 = 3x + 17
5x - 3x = 17 + 11
2x = 28
x = 28/2
x = 14
3x+17 = y
3(14) + 17 = y
y = 59
Step-by-step explanation:
Fact 1: Alternate angles are equal.
Angles, (5x-11)° and (3x+17)° are ALTERNATE angles and so,
(5x-11)° = (3x+17)°
5x - 3x = 17 + 11
2x = 28
x = 28 ÷ 2
x = 14
NB: x does NOT have the degree sign because it's NOT an angle on its own, but rather within the bracket/part of the calculation to get the angle degree.
Fact 2: Opposite angles are equal.
Y° and (3x+17)° are OPPOSITE angles
y = (3x+17)°
y = (3x14) + 17
y= 42 + 17
y = 59°
Hope this helps!
Someone help me with this question
Answer:
Angle Bisector I believe
Step-by-step explanation:
Apologies if I am wrong
How many planes in the diagram contain point W
There are [tex]Three[/tex] planes in the diagram containing point "W".
As per the question statement, We are given a diagram comprising of various planes and we are supposed to find out the number of planes comprising of point "W".
To solve this question, we should have the knowledge of what exactly is a plane.
Plane: A plane is a two - dimensional doubly ruled surface extended across by two linearly independent vectors.In the given diagram, we can see that the point "W" lies on the plane formed by the following points:
[tex]U-R-W-V[/tex] [tex]R-W-S[/tex] [tex]V-W-S-T[/tex]As Point "W" is common is all the given [tex]Three[/tex] planes hence "3" is the correct answer.
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PLEASE HELP FAST PLEASE PLEASE
Answer:
6
Step-by-step explanation:
Because 5×12 is 60
and 1×12 is 12
Add them and you get 72 and 6
Hope this helps!
BELL RINGER # 6
If the function f is defined by f(x) = 3x + 4,
then 2 f(x) + 4 =
(A) 5x + 4
(B) 5x + 8
(C) 6x +4
(D) 6x+8
(E) 6x + 12
Answer:
(E) 6x+12
relations: A relation R is the subset of the cartesian product of X x Y, where X and Y are two non-empty elements. It is derived by stating the relationship between the first element and second element of the ordered pair of X × Y. The set of all primary elements of the ordered pairs is called a domain of R and the set of all second elements of the ordered pairs is called a range of R.
functions: A relation ‘f’ is said to be a function, if every element of a non-empty set X, has only one image or range to a non-empty set Y.
f(x) = 3x + 4
2 * f(x) + 4 = (2 × f(x)) + 4
From above equation
= (2 × (3x + 4)) + 4
= (2 × 3x) + (2 × 4) + 4
= 6x + 8 + 4
= 6x + 12
Therefore, the value of 2f(x) + 4 is ′6x + 12′.
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what is the lcm of 12,27,30
Answer:
The least common multiple of 12, 27 and 30 is 540.
Please mark as brainliest
given that 23x-32y =o where x and y are number bases express x in terms of o and y
Expressing x in terms of 0 and y gives x = 0 + (32/23)y
Given the expression 23x-32y = 0 with number bases x and y.
This equation actually expresses 0 in terms of x and y as 0 is isolated to one side of the equality.
We have to express x in the same equation in terms of 0 and y.
So we need to isolate x to one side of the equality.
23x-32y = 0
⇒23x = 0 +32y
Dividing throughout by 23 gives,
⇒ x = 0 + (32/23)y
This is x expressed in terms of 0 and y
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Laci and leon are saving money to go to an amusement park. laci has $1 more than 4 times the amount of money leon has. together, they have $76. write an equation to determine how much money they have together. 4x 1 = 76 x 4x − 1 = 76 4x − 1 = 76 x 4x 1 = 76
Answer:
Leon has $15 and Laci has $61
Step-by-step explanation:
Let x = the amount Leon has. So 4 times that plus $1 would be 4x+1. Our equation is:
x + (4x+1) = 76
Combine like terms
5x + 1 = 76
Subtract 1 from both sides
5x = 75
Divide both sides by 5
x = 15. This is Leon. Laci is 4(15) +1, or 61.
Determine the solutions of the equation:
Absolute value of the quantity one fifth times x plus 2 end quantity minus 6 equals two.
x = −50 and x = 30
x = −30 and x = 50
x = −20 and x = 50
x = 30 and x = 10
Answer:
x = -50 and x = 30
Step-by-step explanation:
Given equation:
[tex]\left|\dfrac{1}{5}x+2\right|-6=2[/tex]
To solve an equation containing an absolute value, isolate the absolute value on one side of the equation:
[tex]\implies \left|\dfrac{1}{5}x+2\right|-6+6=2+6[/tex]
[tex]\implies \left|\dfrac{1}{5}x+2\right|=8[/tex]
Set the contents of the absolute value equal to both the negative and positive value of the number on the other side of the equation, then solve both equations:
Equation 1 (negative value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=-8\\ &\textsf{Subtract 2 from both sides}: \quad & \dfrac{1}{5}x+2-2&=-8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=-10\\ &\textsf{Mulitply both sides by 5}: &5 \cdot \dfrac{1}{5}x&=5 \cdot-10\\&\textsf{Solution}:& x & = -50\end{aligned}[/tex]
Equation 2 (positive value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=8\\ &\textsf{Subtract 2 from both sides}: \quad &\dfrac{1}{5}x+2-2&=8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=6\\ &\textsf{Mulitply both sides by 5}:&5 \cdot \dfrac{1}{5}x&=5 \cdot6\\ &\textsf{Solution}:&x & = 30\end{aligned}[/tex]
Solutions
Therefore, the solutions are: x = -50 and x = 30.
Please help loll and show your work if you can
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
10) -6(-5+r) = 102
30 -6r =102
-6r = 72
r = -12
11) -1 = x - 4 +4
x =-1
12) 0 = -6x -2x
-8x = 0
x= 0
13)5n+ 4n =9
n =1
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Can someone please help me with thiss
Answer:
3 over 4 is the slope
Step-by-step explanation:
y2 - y1 over x2 - x1 is how you get the slope. To get those points you simply pick two points, it doesn’t matter which 2.
Answer:
slope = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, 4) and (x₂, y₂ ) = (7, 16) ← 2 ordered pairs from the table
m = [tex]\frac{16-4}{7-(-9)}[/tex] = [tex]\frac{12}{7+9}[/tex] = [tex]\frac{12}{16}[/tex] = [tex]\frac{3}{4}[/tex]
Solve the equation 4e - 5 + 2e = e + 3 - 2e
for e.
Answer:e=8/7=1.143
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*e-5+2*e-(e+3-2*e)=0
Add 8 to both sides of the equation :
7e = 8
Divide both sides of the equation by 7:
e = 8/7 = 1.143
And then you get
Divide both sides of the equation by 7:
e = 8/7 = 1.143
Answer:
4*e-5+2*e-(e+3-2*e)=0
Add 8 to both sides of the equation :
7e = 8
Divide both sides of the equation by 7:
e = 8/7 = 1.143
And then you get
Divide both sides of the equation by 7:
e = 8/7 = 1.143
Step-by-step explanation:
In order to figure out who will go first in a game, your friend asks
pick a number between 1 and 25.
you to
a.
What are the possible outcomes?
Answer:
Step-by-step explanation:
There are 25 numbers between and including 1-25, so there are 25 possibilities. The possible outcomes are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
the height of the wall is half the length. you know the perimeter of the rectangular wall is 48 feet. What is the area of the wall?
Answer:
128 feet²
Step-by-step explanation:
48 = x + x + 2x + 2x = 6x
x = 8
x × 2x = 8 × 16 = 128