The Additive inverse of 3/2 is -2/3.
Additive Reciprocal
An additive reciprocal is a number that is added to a given number to bring the sum to zero. For example, adding -3 to the number 3 will result in zero. So the additive reciprocal of 3 is -3. In our daily life, we come across situations where we cancel the value of a quantity by forming its additive reciprocal.
Additive Reciprocal in Fraction:
The additive reciprocal of the fraction a/b is -a/b and vice versa. This is because a/b + (-a/b) = 0. The additive reciprocal of a positive fraction is the same fraction with a negative sign, but for negative fractions the additive reciprocal is the same fraction without a negative sign.
Given, the number is 2/3
We have to find the additive inverse of the given number.
In mathematics, the additive inverse of a number ‘a’ is the number that, when added to ‘a’, yields zero.
So, 2/3 + (-2/3)= 0
Therefore, the additive inverse of 2/3 is -2/3.
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The rectangular floor of a classroom is 24 feet in length and 40 feet in width. A scale drawing of the floor has a length of 6 inches. What is the area, in square inches, of the floor in the scale drawing?
HURRYYYYYYYYYYY
The area of the floor in the scale drawing is 60 inches²
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Actual rectangular floor.
Length = 24 feet
Width = 40 feet
Scale rectangular floor.
Length = 6 inches
Width = 40/4 = 10 inches
The area of the scale rectangular floor.
= Length x Width
= 6 x 10
= 60 icnhes²
Thus.,
The area of the floor is 60 inches².
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I NEED HELP PLEASEEE!!!
If the radius is quadrupled, then the area of the new area to the old area will be 4:1
What is quadrupled?You should be aware that the quadrupled of a circle is four times the area of the old one.
In this case the area of the circle is denoted by
Area = πr²
Where r= radius=6 cm
The area of the old circle is 22/7 * 6 * 6
Area of the circle is = 113.1cm²
To this effect, the area of the new circle is 4(area of the old one)
Area = 4*22/7 * 6 * 6
Area = 3167/7
Area is = 452.6
This implies that 4(113.2) =452.6
In conclusion, you will discover that four times the area of the new circle is the old circle
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Please help I have a learning disability and need help with this.
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
( 3 6) 9 and 3 (6 9)
yes, it uses the Associative Property
yes, it uses the Commutative Property
yes, it uses the Identity Property
no they are not equivalent
Answer:
No, they are not equivalent.
Step-by-step explanation:
The first expression, (3 6) 9, is equal to 9, while the second expression, 3 (6 9), is equal to 3. The two expressions are not equivalent because they do not produce the same result when the operations are carried out. The properties of associativity, commutativity, and identity do not apply to these expressions.
Answer:
no they are not equivalent
Step-by-step explanation:
The two expressions are not equivalent. This is because the distributive property does not apply in this case, as the parentheses on the left side of the expression have precedence over the parentheses on the right side. Therefore, the expression on the left side would be evaluated first, resulting in a different answer than the expression on the right side.
HELP PLEASE! 100PTS!
You're playing a game of pool and it's your turn, but you have no direct shots. To make any shot, you will need to bank the cue ball (the white ball) off the side of the table before it hits your ball.
That means that you hit the cue ball so that it bounces off the side and then hits your colored ball, moving it in the direction of a pocket (hole). The angle that the ball hits the bumper is equal to the angle that it bounces off the bumper.
The cue ball is 18 inches from the top bumper (side of pool table) and 50 inches from the right bumper. The dimensions of the pool table are 96 inches in the horizontal direction by 46 inches in the vertical direction
By Solving this proportion will give you the value of the angle you need to aim your shot.
What is angle of elevation ?
angle elevation can be defined as the angle formed between line of sight and horizontal line.
Draw a diagram of the pool table, labeling the dimensions of the table and the position of the cue ball.
Since the cue ball is 18 inches from the top bumper and 50 inches from the right bumper, you can draw a right triangle with these side lengths.
The dimensions of the pool table can also be used to draw a right triangle, with the horizontal dimension (96 inches) as the base and the vertical dimension (46 inches) as the height.
These two triangles are similar because they are both right triangles and they share a right angle. Therefore, the ratios of their sides are equal.
You can use the ratios of the sides of these triangles to determine the angle at which you should aim your shot. To do this, you can set up a proportion using the corresponding sides of the two triangles. For example, you could use the ratio of the base to the height of the small triangle (18 inches to 50 inches) and set it equal to the ratio of the base to the height of the large triangle (96 inches to 46 inches).
Hence, by Solving this proportion will give you the value of the angle you need to aim your shot.
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cuanto es 5X-3>-2X+4
Answer:
Step-by-step explanation:
7x > 7, o 7(x > 1).
es x>1
espero y te ayude esto
Compare the rules of two games. Game A: Two six-sided dice are thrown. The numbers on the dice determine which player gets a point. Player 1 gets a point if the product of the numbers on the dice is even. Player 2 gets a point if the product is odd. Game B: Two six-sided dice are thrown. The numbers on the dice determine which player gets a point. Player 1 gets a point if the sum of the numbers on the dice is even. Player 2 gets a point if the sum is odd. IN Which statement accurately describes whether these games are fair?
Answer:
Neither game A or B is fair
Step-by-step explanation:
statement accurately describes whether these games are fair is neither game A nor game B.
What is probability?Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
For, game A:
Odd x odd= odd,odd x even= eveneven x even = evenNot fair
For game B,
Odd + odd = eveneven + even= evenodd+ even= oddAgain, unfair.
P (odd, odd)= 1/4
P(even, even)=1/4
P(odd, even)=1/2
Hence, none of the game is fair.
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The population of Canada is 3.5×10^7, and the population of the world is 7.0×10^9. How many times larger is the population of the world compared to Canada's population?
No links
Only answer if your going to help
Answer:
The population of the world is 200 times of the population of Canada.
Step-by-step explanation:
Given that,
Canada's population = [tex]3.5\times 10^7[/tex]
The population of world = [tex]7.0\times 10^9[/tex]
We need to find how many times larger is the population of the world compared to Canada's population. It can be solved as follows :
[tex]\dfrac{W}{C}=\dfrac{7.0\times 10^9}{3.5\times 10^7}\\\\\dfrac{W}{C}=200\\\\W=200C[/tex]
So, the population of the world is 200 times of the population of Canada.
Solve the following system of equations algebraically:
y = x² - 15x + 60
y=x-3
Since the square root of a negative number does not exist in the real numbers, there are no real solutions for x. Therefore, the system of equations has no solutions.
Define Algebric expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
What is variables and constants ?A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.
To solve this system of equations algebraically, we can substitute y = x-3 into the first equation
y = x² - 15x + 60
x-3 = x² - 15x + 60
x² - 16x + 63 = 0
We know that this quadratic equation has no real solutions because its discriminant (b^2 - 4ac) is negative, so the system of equations has no real solutions.
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A 5/44 lottery requires choosing five of the numbers 1 through 44. How many different lottery tickets can you choose
The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060. This can be calculated using the combination formula, which is:
[tex]nCr = n / (r(n-r))[/tex]
where n is the total number of options (43) and r is the number of choices (5).
so, [tex]43C5 = 43 / (5(43-5)) = 8,145,060.[/tex]
Lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.
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Convert 1.45454... into a ratio of two integers. Enter your answer as a fraction in lowest terms.
Answer:
16/11
Step-by-step explanation:
Let x = 1.45454...
Multiply both sides by 100:
100x = 145.454...
Subtract both sides by x:
100x - x = 145.454... - x
100x - x = 145.454... - 1.45454...
99x = 144
x = 144/99
The term can be simplified in lowest as 16/11. Hence, 1.45454... can be written as the ratio of two integers of 16/11
In SHORT BINGO, a $5\times5$ card is filled by marking the middle square as WILD and placing 24 other numbers in the remaining 24 squares. Specifically, a card is made by placing 5 numbers from the set $1-10$ in the first column, 5 numbers from $11-20$ in the second column, 4 numbers $21-30$ in the third column (skipping the WILD square in the middle), 5 numbers from $31-40$ in the fourth column and 5 numbers from $41-50$ in the last column. One possible SHORT BINGO card is: To play SHORT BINGO, someone names numbers, chosen at random, and players mark those numbers on their cards. A player wins when he marks 5 in a row, horizontally, vertically, or diagonally. How many distinct possibilities are there for the values in the first row of a SHORT BINGO card
The first row of the SHORT BINGO card contains 5 numbers, one from each of the sets $1-10$, $11-20$, $21-30$, $31-40$, and $41-50$. Since the WILD square is in the middle of the card, it does not affect the possibilities for the first row.
A probability simple definition is what?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
For the first column, there are 10 possibilities, as it can contain any number from the set $1-10$.
For the second column, there are 10 possibilities, as it can contain any number from the set $11-20$.
For the third column, there are 9 possibilities, as it can contain any number from the set $21-30$ except the one already used.
For the fourth column, there are 10 possibilities, as it can contain any number from the set $31-40$.
For the fifth column, there are 10 possibilities, as it can contain any number from the set $41-50$.
The total number of distinct possibilities for the values in the first row of a SHORT BINGO card is the product of the possibilities for each column, which is:
10 * 10 * 9 * 10 * 10 = 90000.
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Complete the equation describing how x and y are related -2
The equation of the line found is:
y = 3x + 1.
Since the rate of change is always the same, that is, when x changes by 1, y always changed by the same value, this is a linear equation.
Linear equation:
A linear equation is an equation in which the greatest power of a variable is always 1. Also called the 1 degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The standard form of linear equations in two variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant.
The equation of a line is given by:
y = mx + b
In which:
m is the slope, that is, by how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0.
From the table, when x =0 and y =1 , thus b = 1.
When x = and y = 1 . When x =1 and y = 4 , when x = 2 and y =7 , and so on. That is, when x changes by 1, y changes by 3, and the slope is m = 3.
The equation of the line is:
y = 3x + 1.
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Pleaseeee help
Given that one standard deviation below the mean is 24 and one standard deviation above the
mean is 31, what is the Mean?
A)55
B)34
C)27.5
D)28
Answer:
C. 27.5
Step-by-step explanation:
since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.
we would first subtract the two values
31-24 = 7
we would then divide that number by 2 since we are finding the average between the two numbers
7/2 = 3.5
using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)
24+3.5 = 27.5
31-3.5 = 27.5
since both calculated numbers were equal, we know that we calculated the mean correctly.
PlsAnsweRRRRR
The median value is .
Answer:
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.
Step-by-step explanation:
Answer:
the median in this case would be 45
Step-by-step explanation:
(i’m going off what the other person said) since theres 5, you pick the one in the middle.
A PE Teacher pays a total of $960 for 6 basketballs and 8 volleyballs. The price of 6 basketballs is equivalent to 8 volleyballs. How much does each basketball cost than each volleyball?
solve by assuming question
Answer: solving by forming simple algebra equation
Step-by-step explanation:
8x (x is the cost of 1 volleyball)
6y (y is the cost of 1 basketball)
We know that cost of 8 volleyballs is = cost of 6 basketballs
i.e. 8x = 6y
& total money spent to buy 8 volleyballs and 6 basketballs is $960
so we can write;
8x + 6y = 960
= (6y) + 6y = 960
= 12y = 960
= y or cost of 1 basketball is (960/12) = $80
& if we want to know the value of x (cost of 1 volleyball)
8x = 6y
= 8x = 6(80)
& x = 6(80/8)
= 6 (10) = 60
so the cost of basketball is $80 & 1 volleyball is $60
Hope it helps :)
p.s. that the equation I formed were made as if I was making an assumption & the conditions were kept uniform from the beginning, this is very applicable in day to day scenario; for e.g. when you go out with you friends to eat and have to split the bill - this assumption and division is called algebra - so value this education!
Two angles of a quadrilateral measure 200° and 50°. The other two angles are in a ratio of 2:9. What are the measures of those two angles?
Answer:
20° and 90°
Step-by-step explanation:
Let 2x = measure of 1st angle
then 9x = measure of 2nd angle
The sum of the measures of the angles of a quad is 360
200 + 50 + 2x + 9x = 360
250 + 11x = 360
11x = 110
x = 10
2x = 20°
9x = 90°
Which statement describes the relationship between the
function and its inverse?
O The range of both f(x) and f'(x) is all real numbers.
O. The domain of both f(x) and f'(x) is all real numbers.
O The range of f(x) is y > 0 and the domain off'(x) is
X>0.
O The domain of f(x) is x > 0 and the range of f1(x) is
y>0.
Answer:
The third,
The range of [tex]f(x)[/tex] is [tex]y > 0[/tex] and the domain of [tex]f^{-1} (x)[/tex] is [tex]x>0[/tex]
Step-by-step explanation:
The solution to the function is range of f(x) is y > 0 and the domain of f' ( x ) is x > 0
Define domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. Once we enter an x value, the function outputs this sequence of values.
The collection of results from a relation or function is known as the range. It is, in other words, the range of potential y values. As ordered pairs of the form (x,y), the y coordinate is provided after the x coordinate. After the input is a list of the output.
Given the data,
Let's write the function as f. ( x )
The function's inverse is now presented as
Function is equal to f'(x), where x and y intercepts are switched.
The range of f(x) is now all the values of y.
And , y > 0
Hence, x > 0 defines the domain of f' (x).
As a result, the domain of f' (x) is x > 0 while the range of f(x) is y > 0.
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[tex]4x \sqrt[ + 15 - 15]{?} [/tex]
Answer:
please what subject is this
Eliminate the parameter in the equations x = and y = t – 4. How can the rectangular equation be described? cubic linear quartic quadratic
x= t^ 1/3 !!!
edg 2021 cumu review
Answer:
Step-by-step explanation:
If [tex]x = t^{1/3}[/tex], then [tex]t=x^{3}[/tex]
Now, puting [tex]t[/tex] value in the other equation, we have
[tex]y=x^{3} - 4[/tex]
Therefore, is a cubic equation
Rectangular equation be described as the cubic equation. The cubic equation is obtained after rearranging the equation. Option A is correct.
How do we determine the solution to an equation?We do the identical actions on both sides to ensure that the equality of both expressions is maintained.
Solving equations entails determining the values of the variables involved for which the equation is valid.
Given equation;
[tex]\rm x = t^{\frac{1}{3} }\\\\ t=x^3[/tex]
Put the value of t in the equation;
y = t – 4
y=x³-4
The obtained equation is cubic in nature.
Hence,rectangular equation be described as the cubic equation.
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Lololol helpppo plssss
Answer:
-50
Step-by-step explanation:
7 - (7 * 11 - 1) ÷ 2 - (5)² + 6
7 - (77 - 1) ÷ 2 - 25 + 6
7 - (76) ÷ 2 - 25 + 6
7 - 38 - 25 + 6
-31 - 19
-50
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
B. [tex] - 50[/tex] ✅
Step-by-step explanation:
[tex]7 - \frac{7 \times 11 - 1}{2} - ({5})^{2} + 6 \\ = 7 - \frac{77 - 1}{2} - 25 + 6 \\ = 13 - 25 - \frac{76}{2} \\ = - 12 - 38 \\ = - 50[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $13.48
The amount of the tip is approximately $
What is the perimeter of the rectangle??
Answer:
46 cm
Step-by-step explanation:
perimeter is just all the lengths of all the sides added up.
You have a circle-shaped mirror in your bedroom. To figure out where to hang it, you must find the diameter of the circle. You know the radius is 34 centimeters. How long is the diameter in inches? (Diameter = 2xradius) ( 1in = 2.54cm)
A. 26.8 inches
B. 86.4 inches
C. 172.7 inches
D. 13.4 inches
The diameter of a given circle, measured in inches, is 26.8 inches, according to the solution.
The correct option is A.
What makes it called a circle?A circle is a circular shape that can be created by tracing a moving point in a plane so that its distance from thea specified point remains constant. From the Greek word kirks, which means hoop or ring, comes the term circle.
How can a circle be so strong?Circular shapes give us a feeling of completion, assurance, and harmony from a psychological perspective. They stand for the concepts of oneness, integration, and wholeness. In addition to lacking angles, they also lack a beginning and an end. Because of this, a circle is a strong, yet secure, kind, and benign element.
According to the given information:Given,
Radius of circle= 34cm=13.36 inches
Diameter= 2x radius
Diameter = 26.8 inches
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Find output, g, when the input, r, is 4. g= 25-3r
when the input r, is 4, then the output g, is 13.
The function g = 25 - 3r gives the output g when the input r is given.
If we substitute r = 4 into the equation, we get:
g = 25 - 3×4
g = 25 - 12
g = 13
Therefore, when the input, r is 4, the output g, is 13.
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The diameter of a circle is 8 inches what is the circumference
Answer:
25.12
Step-by-step explanation:
8 x 3.14
Answer:
Circumference= 2πr
Raduis is half of the diameter so the radius is 4 in.
2 x 3.14 x 4= 25.12
The circumference of the circle is 25.12 in
if there were 125 students in 5 buses what is the ratio of students to buses
Answer:
125:5
Step-by-step explanation:
obvious.
can you please help that will be super kind of u to do that
Answer:
B
Step-by-step explanation:
I think your supposed to just count the dots
Answer:
B. 18
Step-by-step explanation:
The number of observations here means every time they saw how many pennies someone brought in. So you count up the total number of dots from 0-50 on here, and there are 18.
Sorry I'm dum,b and don't know scientific notation very well please explain for brainly =D
Answer:
Step-by-step explanation:
How did you miss this? it's just about moving the decimal place to where it makes better sense. which just means, it's easier to read, and maybe to compare with other numbers. Like how maybe
1,000,000,000,000 might be harder to compare to 1,000,000,000,000,000 than if it looked like this in scientific notation
1.0 x[tex]10^{12}[/tex] and
1.0 x[tex]10^{15}[/tex]
right away you can see the difference, right?
the lower two numbers are the same as the upper two numbers , just to be clear.
also, if the number is much messier like this
2,254.2356111142254 then it's good to put into scientific notation as
2.254 x [tex]10^{3}[/tex]
scientific notation always puts the decimal after the very 1st digit never like this
22.54 x[tex]10^{2}[/tex]
that's not correct scientific notation. The decimal always goes right after the 1st digit like this
3.00 x[tex]10^{8}[/tex] Km/s maybe you'll recognize this as a very close approximate for the speed of light? anyway, hope that helps
How do I find the indicated value?
Answer:
65ᵗʰ Term of the sequence is 479
50ᵗʰ Term of the sequence is 346
Step-by-step explanation:
1.)Here,
First Term = a₁ = 3
Second Term = a₂ = 10
Third Term = a₃ = 17
Now,
Common Difference (d)
d = a₂ - a₁ = (-7) - (-15) = -7 + 15 = 8
d = a₃ - a₂ = 1 - (-7) = 1 + 7 = 8
Here, Common Difference is same everywhere
Now, For 65ᵗʰ term, n = 65
aₙ = a + (n - 1)d
a₆₅ = (-15) + (65 - 1) × 8
a₆₅ = (-15) + 64 × 8
a₆₅ = (-15) + 512
a₆₅ = 479
Thus, 65ᵗʰ Term of the sequence is 479
2.)Here,
First Term = a₁ = -15
Second Term = a₂ = -7
Third Term = a₃ = 1
Now,
Common Difference (d)
d = a₂ - a₁ = 10 - 3 = 7
d = a₃ - a₂ = 17 - 10 = 7
Here, Common Difference is same everywhere
Now, For 50ᵗʰ term, n = 50
aₙ = a + (n - 1)d
a₅₀ = 3 + (50 - 1) × 7
a₅₀ = 3 + 49 × 7
a₅₀ = 3 + 343
a₅₀ = 346
Thus, 50ᵗʰ Term of the sequence is 346
-TheUnknownScientist
Emmet had c caramels. Then his sister took 5 of the caramels. Write an expression that shows the number of caramels Emmet has left.
Answer:
C - 5
Step-by-step explanation:
We know
Emmet had c caramels
His sister took 5 caramels, that means subtract 5, so the equation is
c - 5