The fractions equivalent to 2/5 are 4/10, 6/15, 8/20, etc.
Now, According to the question:-
Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number. This is the reason why these fractions get reduced to the same number when they are simplified.
Let us understand the two ways in which we can make equivalent fractions:
Multiply the numerator and the denominator by the same number, or,Divide the numerator and the denominator by the same number.Hence, the equivalent fractions for 2/5 are:
(2/5) × (2/2) = (2 × 2) / (5 × 2) = 4/10
(2/5) × (3/3) = (2 × 3) / (5× 3) = 6/15
(2/5) × (4/4) = (2 × 4) / (5 × 4) = 8/20
Thus, 4/10, 6/15, 8/20 are equal to 2/5,
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Is a triangle congruent if 1 angle of the triangle is congruent and 2 sides are congruent?
Answer:
When two pairs of corresponding angles and one pair of corresponding sides (not between the angles) are congruent, the triangles are congruent. Two triangles with one congruent side, a congruent angle and a second congruent angle.
Use the drop-down menus to complete each equation so the statement about its solution is true.
The value of x such that the equation "2x + 9 + 3x + x = 15" has One Solution(Unique Solution) is x = 1 .
The Solution of an equation is defined as the values that makes the equality in equation true. In other words, a solution is a value that is substituted for the unknown ,and the equation becomes an equality .
the equation is given as 2x + 9 + 3x + x = 15 ;
we have to find the value of x for such that it has One Solution ;
adding the like terms together ,
we get ;
6x + 9 = 15 ;
simplifying further ,
we get ;
6x = 15 - 9
6x = 6
x = 6/6 = 1
So , the solution of the the given equation such that it has one solution is x = 1 .
The given question is incomplete , the complete question is
Complete equation so the statement about its solution is true.
Find the value of x such that the equation 2x + 9 + 3x + x = 15 has One Solution . x = .
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What type of symmetry does this graph have?
Answer:
Line
Step-by-step explanation:
You could draw a line up the center, and it would be symmetrical.
How do you use the base formula?
The change of base formula is the formula that, by utilizing solely log calculations with a base of 10, will provide you with the result of a log with a different base.
The change of base formula is the formula that, by utilizing solely log calculations with a base of 10, will provide you with the result of a log with a different base. The formula instructs you to divide the parenthesized integer by the log of your base after taking the log of the number in parentheses.
The change of base formula is the formula that, by utilising solely log calculations with a base of 10, will provide you with the result of a log with a different base. The formula instructs you to divide the log of the value in the parenthesis by the log of your base.
[tex]log_{b}(x)=\frac{log_{10}(x)}{log_{10}(b)}[/tex]
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A ball is thrown into the air. Its height in
feet after t seconds is given by the
function h(t) = −5t² + 20t. How high will
the ball be after 3 seconds?
Answer:
15 ft
Step-by-step explanation:
h(t) = −5t² + 20t (Given)We need to find: height of the ball after 3 seconds.So, plug t = 3 in the above equation, we find:h(3) = −5(3)² + 20(3)->h(3) = −5(3)² + 20(3)->h(3) = −5(9) + 60->h(3) = −45 + 60->h(3) = 15 feetWhat is the solution of the system of equations y =- 4x 10?
The solution of the given system of equation is (8, -22).
In the given question we have to find the solution to the system of equations:
y = -4x + 10 and y = -2x - 6
We can solve the system of equation using the substitution method.
In substitution method we have to put the the value of one variable from one equation to the other equation.
We have to equations:
y = -4x + 10...................................(1)
y = -2x - 6.............................(2)
Now putting the value of y from the equation 1 in equation 2
-4x + 10 = -2x - 6
Add 6 on both side we get
-4x + 16 = -2x
Add 4x on both side, we get
2x = 16
Divide by 2 on both side, we get
x = 8
Now the value of x is 8.
Now putting the value of x in equation 1
y = -4(8) + 10
y = -32 + 10
y = -22
Hence, the solution of the given system of equation is (8, -22).
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The right question is:
What is the solution of the system of equations y = -4x + 10 and y = -2x - 6?
Select the methodology that would result in a subjective probability....
Dividing the number of favorable events by the number of possible events.
Studying the fraction of times in the past a particular event has happened.
Weighing the available information and assigning a probability.
Weighing the available information and assigning a probability.
A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.
So, as per the definition of subjective probability
Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus
Weighing the available information and assigning a probability.
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Can somebody help me find the value of x ? image attached .
Answer:
x = 23
Step-by-step explanation:
from the drawing BC = EF
we solve with an equation
x - 4 = 19
x = 19 + 4
x = 23
Decide whether the triangles are similar. If they are, write a similarity statement and state the reason justifying the similarity.
for 1 sale, an employee earns 1 token. for 2 sales, an employee earns 6 tokens. for 3 sales, an employee earns 12 tokens. for 4 sales, an employee earns 19 tokens. how many tokens will be earned for eight sales? (4 points) 46 48 53 57
For a total of 8 sales the employee earns about 57 tokens
What is an equation?An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.
Equations can be graphed, they are used to model many problems and theories.
If the employee by amount of sales obtains a greater benefit each time, which is stipulated as follows:
1 sale ---- 1 token2 sales --- 6 tokens3 sales --- 12 tokens4 sales ---- 19 tokensWe must put together an equation that relates the amount of sales with the amount of tokens.
2v --- 1 +5 = 63v --- 2v + 6 = 124v --- 3v + 7 = 195v --- 19 + 8= 276v --- 27 + 9 = 367v --- 36 + 10 = 468v --- 46 +11 = 57 tokens for 8 sales.Learn more about equations at:
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Franklin Middle School's spring concert is next week. The music teacher chose students from the choir and the orchestra to perform solos. There are 25 choir students, and 5 of them have a solo. There are 20 orchestra students, and 4 of them have a solo. Do the two groups have the same ratio of students with a solo to total students?
The two groups have the same ratio of students with solo to total students.
How to solve for ratios?We should know that ration is the quotient of two numbers. In mathematics ration is defined as as the number of times one number contains another number
The given parameters are
25 choir students
5 solo students from the choir
20 Orchestra students
4 solo orchestra students
Expressing the ratio of total choir students to total orchestra students and solo choir students to solo orchestra students we have
25:20 = 5:4
Dividing the left hand side by 5
5:4 = 5:4
In conclusion the ratio of total choir students to total orchestra students and solo choir students to solo orchestra students are the same = 5:4
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The intersection of Beech Street and fourth Street is 150 yards east of the intersection of Fort Street and Clover Street how many yards south is it
The amount of yards south that the intersection of Fort Street and Clover Street is given as follows:
450 yards.
How to obtain the slope?The slope of an inclined object is obtained as the division of the vertical distance of the street by the horizontal distance of the object.
The distances are classified as follows:
Vertical: south is negative, north is positive.Horizontal: west is negative, east is positive.The slope of the street is given as follows:
-3.
The east distance is given as follows:
150 yards.
Thus the south distance can be identified applying the slope as follows:
-3 = S/150
S = -3 x 150
S = -450 yards.
The negative number represents that the direction is south, hence the distance is only of 450 yards.
Missing InformationThe problem is given by the image shown at the end of the answer.
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The cutomer who purchaed all the item for $37. 85 tarted with with $52. 02 in hi pocket he decided to ue hi leftover money to buy lot of candy to decorate the gingerbread houe if each bag of candy cot $5. 50 how many whole bag of candy could he afford to buy?
The customer can afford to buy 2 whole bags of candy.
The customer started with $52.02 in his pocket and spent $37.85 on items, so he had $52.02 - $37.85 = $14.17 left over to spend on candy.Each bag of candy costs $5.50, so the customer can afford to buy $14.17 / $5.50 = 2.6 bags of candy.Since the customer can only buy whole bags of candy, he can afford to buy 2 whole bags of candy.In this problem, the customer started with $52.02 in his pocket and spent $37.85 on items, leaving him with $14.17 to spend on candy. Each bag of candy costs $5.50, so the customer can afford to buy $14.17 / $5.50 = 2.6 bags of candy. However, since the customer can only buy whole bags of candy, he can only afford to buy 2 whole bags of candy. This is the final answer to the problem.
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isabella is making a huge flag of her country, the republic of seychelles, on a canvas 202020 by 101010 meters long. to do that, she has to draw a diagonal line that begins at the bottom-left corner and ends at the top side of the flag, 6.66.66, point, 6 meters to the right. since the ends of the diagonal line are too far to put a ruler between them, isabella wanted to find the angle of the diagonal and draw it using a protractor. what is the angle, in degrees, between the diagonal line and the left edge of the flag? round your final answer to the nearest tenth.
The angle, in degrees, between the diagonal line and the left edge of the flag is 67.8 degrees.
To find the angle between the diagonal line and the left edge of the flag, you can use the Pythagorean theorem to calculate the length of the hypotenuse (the diagonal line) and one of the legs (the horizontal distance from the bottom-left corner to the end of the diagonal line). The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
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what percent is 35 out of 45
Answer: The correct answer is 77.77 %
Step-by-step explanation: To calculate the percentage, number or ratio that can be expressed as a fraction of 100.
Helpppp meeeeee. Merry Christmas!!
Answer:
Yup it the first one
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Amelie needs 2 3/8 cups flour for one recipe and 1 1/3 cups of flour for another recipe.
How many cups of flour does Amelie need in all?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
2 3/8 + 1 1/3 (LCD is 24)
= 2 9/24 + 1 8/24
= 3 17/24 cups
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Answer:
3 17/24
Step-by-step explanation:
2 3/8 + 1 1/3
2 3/8 = 19 /8
1 1/3 = 4/3
The common factor is 24
57/24 + 32/24 = 89/24
89/24 = 3 17/24
What is the arithmetic mean of the following numbers 3 5 6 7 9 6 8?
The mean for a given set of observations is 6.286.
What is mean?The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean. A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. When a data collection is arranged from least to largest, the median is the midway value. The mode is the number that appears the most frequently in a data collection.
Here,
given set of observation,
=3,5,6,7,9,6,8
=(3+5+6+7+9+6+8)/7
=6.286
The mean for given set of observation is 6.286.
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which statement is most likely to be true upon rolling a standard die more than 100 times? a.) the probability of getting a number less than 3 is close to 0.33 but does not change the probability of the next trial. b.) the probability of getting a number less than 3 is close to 0.33 and changes the probability of the next trial. c.) the probability of getting a number less than 3 is equal to 0.33 but does not change the probability of the next trial. d.) the probability of getting a number less than 3 is equal to 0.33 and changes the probability of the next trial.
The correct answer is c.) the probability of getting a number less than 3 is equal to 0.33 but does not change the probability of the next trial.
The probability of getting a number less than 3 on a standard die is always equal to 0.33, regardless of the number of times the die is rolled. The probability of an event occurring does not change based on the number of times the event has occurred in the past. Each roll of the die is an independent event, meaning that the outcome of each roll does not affect the probability of the next roll.
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What are the four ways to prove that two triangles are similar?
Using the SAS(Side-Angle-Side) Theorem, ASA(Angle-Side-Angle) Theorem, SSS(Side-Side-Side) Theorem and AA(Angle-Angle) Theorem we can easily prove that two triangles are similar.
If two triangles have an equal number of comparable angles and sides, they are said to be similar.
Similar figures are items that have two or more figures with the same shape but varying sizes.
Using the SAS(Side-Angle-Side) Theorem, ASA(Angle-Side-Angle) Theorem, SSS(Side-Side-Side) Theorem and AA(Angle-Angle) Theorem we can easily prove that two triangles are similar.
A portion on one polygon must correspond perfectly to a part in another polygon that is in a similar place. Even though two triangles are oriented differently from one another, you can conclude that their angles match if you can spin them to align in the same direction and notice that their angles are similar.
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Given AABE~ ADCE and BC intersects AD at E, what is the value of y
Answer:
Step-by-step explanation:
The value of y is unclear given the information provided. However, if BC intersects AD at E, then it stands to reason that y would be equal to the value of x. This is because, if BC intersects AD at E, then the two lines are parallel and therefore have the same value for y.
A line has a slope of. If one of the points on the
line is (-10, -16), which of the following could be
another point on the line? Show work.
a) (-5, -6) b) (4, 11) c) (0, 2)
d) (10, 22)
Which pair could be used
Another point on the line is (0,2).
The equation of a line, in point-slope form, is given by:
[tex]$$y-y_0=m\left(x-x_0\right)$$[/tex]
In which [tex]$\mathrm{m}$[/tex]is the slope and the point is [tex]$\left(x_0, y_0\right)$[/tex]
Slope of [tex]$9 / 5$[/tex] if one of the points on the line is [tex]$(-10,-16)$[/tex]
This means that [tex]$m=\frac{9}{5},\left(x_0, y_0\right)=(-10,-16)$[/tex]. So
[tex]$$\begin{aligned}& y-y_0=m\left(x-x_0\right) \\& y-(-16)=\frac{9}{5}(x-(-10)) \\& y+16=\frac{9}{5}(x+10)\end{aligned}$$[/tex]
Which of the following could be another point on the line?
We have to find a point for values of [tex]$x$[/tex] and [tex]$y$[/tex] which gives us an identity. So
x=-5, y=-6
Lets see
[tex]$$\begin{aligned}& -6+16=\frac{9}{5}(-5+10) \\& 10=\frac{9 * 5}{5} \\& 10=9 > \text { False }\end{aligned}$$[/tex]
So this is not the answer.
[tex]$$\begin{aligned}& x=4, y=11 \\& 11+16=\frac{9}{5}(4+10) \\& 27=9 * 14 / 5\end{aligned}$$[/tex]
False
Option C:
[tex]$$\begin{aligned}& \mathrm{x}=0, \mathrm{y}=2 \\& 2+16=\frac{9}{5}(x+10) \\& \frac{90}{5}=18 \\& 18=18\end{aligned}$$[/tex]
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How do you find the base of a triangle with only the height?
The hypotenuse and the known leg are squared. Subtract the squared length of the hypotenuse from the squared length of the leg. Finally, compute the result's square root.
What is triangle?A triangle is a polygon having three vertices and three edges. It is a fundamental geometric figure. Triangle ABC represents a triangle with three vertices: A, B, and C. Any three non-collinear points constitute a unique triangle and, by extension, a unique plane in Euclidean geometry. Triangles are polygons with three vertices that have three sides. The triangle's angles are constructed by joining the three sides end to end at a point. The triangle's three angles add up to 180 degrees.
Here,
Square the hypotenuse and the known leg. Subtract the squared length of the leg from the squared length of the hypotenuse. Finally, compute the square root of the result.
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What is the side included between the ∠ LMN and ∠ LNM of ∆ LMN?
Line MN is the side in between the 2 angles which are ∠LMN and ∠LNM in triangle △LMN.
What do we mean by sides in maths?An edge is a specific kind of line segment that connects two vertices of a polygon, polyhedron, or higher-dimensional polytope in geometry.
An edge, also known as a polygon side, is a line segment that forms the boundary of a polygon.
The sides of the angle are the two straight lines that unite to make it.
The intersection of two lines or rays that make an angle is known as its vertex.
So, according to the given figure, the side between ∠LMN and ∠LNM in triangle △LMN is side MN.
Therefore, line MN is the side in between the 2 angles which are ∠LMN and ∠LNM in triangle △LMN.
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what is the answer to the question
Answer: blah blah blah join my chatlet write join/johan chatlet with no spaes
Step-by-step explanation:
Mishka is on a long road trip, and she averages 70 mph for 2 hours while she's driving on the highway. While she's driving on side roads for 1 hour, she only averages 35 mph. What is the total distance that she covers on her road trip?.
Answer:
highway: 70 × 2 = 140 miles
side roads: 35 × 1 = 35 miles
total distance: 140 miles + 35 miles = 175 miles
im sorry if the answer is wrong :)
Solve for k.
k² - 19k - 20 =0
Answer:
k = -1, 20
Step-by-step explanation:
k² - 19k - 20 = 0
k² + 1k - 20k - 20 = 0 ==> 1 * (-20) = -20 and -20 + 1 = -19
k² + k - 20k - 20 = 0
k(k+1) - 20(k+1) = 0 ==> factor and simplify
(k-20)(k+1) = 0
k-20=0 ==> k=20
k+1=0 ==> k=-1
k = -1, 20
Answer:
k² - 19k - 20
(k-20) (k+1) = 0
k-20 = 0
k=20
k+1 = 0
k= -1
k= 20 and -1
How many cells in Excel 2022?
Number of Rows per Worksheet: 1,048,576. Number of Rows per Worksheet: 16,384. Total cells per Worksheet: 17,179,869,184.
Now, According to the question:
The specifications for Excel Worksheet current versions include: Number of Rows per Worksheet: 1,048,576. Number of Rows per Worksheet: 16,384. Total cells per Worksheet: 17,179,869,184.
How many sheets can Excel have?
Set default number of worksheets
It means you can set the number of how many worksheets initially be in a workbook. Inside the General options, you will find an option "Include this many sheets". You can change it to between 1 to 255. Step 1: First of all, open MS Excel and create a new workbook.
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8. Given f(x)= a(x-h)² + k is the vertex form of a parabola.
If a < 0, h> 0 and k < 0, then which of the following are true?
I. The vertex of f(x) Is In quadrant 2
II. The vertex of f(x) is in quadrant 4
III. f(x) has no x-intercepts
IV. f(x) has no y-intercepts
A. I and IV
B. II and IV
C. I and III
D. II and III
For the given statement f(x)= a(x-h)² + k is the vertex form of a parabola.
If a < 0, h> 0 and k < 0 Option B is correct.
Vertex of a Parabola
The vertex of a parabola is the point where the parabola crosses its axis of symmetry. If the coefficient of the x2 term is positive, the vertex will be the lowest point on the graph, the point at the bottom of the “ U ”-shape. If the coefficient of the x2 term is negative, the vertex will be the highest point on the graph, the point at the top of the “ U ”-shape.Given that:
f(x)= a(x-h)² + k
If a < 0, h> 0 and k < 0 then
f(x) = -1 (x - 1)^2 - 1
= -1([tex]x^{2} + 1^{2} - 2x[/tex]) - 1
= [tex]-x^{2} -1 + 2x[/tex] - 1
f(x) = -([tex]x^{2} - 2x + 2[/tex])
while making graph using the equation , we can find the vertex of f(x) is in quadrant 4 and has no y-intercepts.
Thus , the option B is correct.
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The graph shown here is the graph of which of the following rational
functions?