the quotient of y and 27
y ÷ 27
27 ÷ y
y ÷ 27 + y
y × 27
im literally so confused pls explain how you got the answer bc someone told me and means multiplication and math but apparently it doesnt so
It should be noted that the quotient of y and 27 will be y ÷ 27. The correct option is A.
How to illustrate the information?It should be noted that quotient simply means the quantity that's produced when two numbers are divided. A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio. The quotient is the result of dividing two numbers by each other. As in the case of 8 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8, while the divisor is 4.
When we divide a number, the result we ultimately get is the quotient. The mathematical symbol (÷ ) denotes division, a technique for allocating items equally among groups.
In their case, the quotient of y and 27 simply means the division of the numbers. This will be y ÷ 27.
Therefore, the correct option is A.
Learn more about quotient on:
brainly.com/question/11418015
#SPJ1
Choose the definition for the function.
(-x+ 2
a. y = x + 1
(-x+ 2
b. y = x + 1
{
x < 1
x ≥ 1
x ≤1
x> 1
S-x+ 2
x+1
c. y = {
(-x+ 2
d. y = x + 1
x > 1
x ≤ 1
x ≥ 1
x < 1
Enter
Answer:
can you add a photo of the questions? So it's easier to see
Two numbers are given below.
34,856
39,670
a) Approximate the sum of these numbers
by first rounding each number to the
nearest hundred.
b) Find the exact sum of these numbers,
then round this value to the nearest
hundred.
a) The approximate sum of the numbers by first rounding each number is 74,600
b) The exact sum of the numbers rounded to the nearest hundred is 74,500
From the question, we are determine the approximate sum of the given numbers
The given numbers are
34,856 and 39,670
a) Round 34,856 to the nearest hundred
34,856 to the nearest hundred is 34,900
Also,
Round 39,670 to the nearest hundred
39,670 to the nearest hundred is 39,700
Now,
Add the rounded numbers
34,900 + 39,700 = 74,600
b) The exact sum of the numbers is
34,856 + 39,670 = 74,526
Rounding the result to the nearest hundred
74,526 rounded to the nearest hundred is 74,500
Hence, the exact sum of the numbers rounded to the nearest hundred is 74,500
Learn more on Addition of numbers here: https://brainly.com/question/3026759
#SPJ1
Evelyn is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 18 stuffed cats and 12 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over. What is the greatest number of groups Evelyn can place her stuffed animals into?
The greatest number of groups Evelyn can place her stuffed animals into
= 6 Groups.
We have been given that
Evelyn should donate her collection of stuffed animals in which
No. of stuffed cats = 18
No. of stuffed dogs = 12.
We have to find out number of groups with no stuffed animals left over.
for solving this question we can use GCF
What is GCF (Greatest Common Factor)?
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
How can we find GCF?
The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number.
18 and 12 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 12.
The common factors of 12 and 18 are 1, 2, 3 and 6. The greatest common factor of them is 6.
In each groups no. of cats and dogs are (3cats , 2 dogs)
Hence , 6 is the greatest number of groups Evelyn can place her stuffed animals into.
To learn more about greatest common factor
visit - https://brainly.com/question/219464
#SPJ9
NEED ANSWER ASAP WILL GIVE 40 POINTS
-6≥ 10-8x
Answer:
x≥2
Step-by-step explanation:
-16≥ -8x
x≥2
Given f(x)=2x²+4, find the value of f(−1)
Answer:6
Step-by-step explanation:
when x is -1 y is 6. input -1 as x in the equation and solve, otherwise graph.
what is greatest common denominator of 72 and 159)
Answer:
3
Step-by-step explanation:
The greatest common divisor (GCD) of two nonzero integers a and b is the greatest positive integer d such that d is a divisor of both a and b (Wikipedia)
To find out which is the GCD of 72 and 159, keep factoring both until they cannot be factored any more
Then take the factors common to both list of factors; the greatest among them is the GCD
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 159 are: 1, 3, 53, 159
The common factors are 1, 3
So GCD is 3
Trapezoid WXYZ has vertices at W(–5, –1), X(–3, –1), Y(–2, 1), and Z(–6, 1). Trapezoid WXYZ is translated so that the coordinates of Y' are (0, 3). What will be the coordinates for W′?
Solution :
the coordinates for W′ = (-1,3)
Trapezoid :
A trapezoid is necessarily a convex quadrilateral in Euclidean geometry. The parallel sides are called the bases of the trapezoid. The other two sides are called the legs (or the lateral sides) if they are not parallel; otherwise, the trapezoid is a parallelogram, and there are two pairs of bases). A scalene trapezoid is a trapezoid with no sides of equal measure
Y = (-2,1)
Y' = (0,3)
Unit shift for Y to Y'
By distance formula :
yy' = [tex]\sqrt{{(x2-x1})^{2} +( y2-y1)^{2} }\\[/tex]
= root of (2)^2 +(2^2)
= root of 4+4
Root of 16
= root of 4
Unit shift for Y to Y' = 4
then
w = (-5,-1)
shift by adding 4
W' = (-5+4, -1+4)
W' = (-1,3)
the coordinates for W′ = (-1,3)
More details : brainly.com/question/14126731
#SPJ9
Order the numbers from smallest to largest:
\large \mid4\mid,\sqrt{9},-3,\mid-5\mid,-3^2,2^3
Reorder answers
1.
\large -3
Reorder answers
2.
\large -3^2
Reorder answers
3.
\large \sqrt{9}
Reorder answers
4.
\large \mid4\mid
Reorder answers
5.
\large \mid-5\mid
Reorder answers
6.
\large 2^3
The rational numbers ordered from smallest to largest are given as follows:
-3², -3, sqrt(3), 4, 5, 2³.
What are rational numbers?Rational numbers are numbers that can be represented by fractions, such as integers and terminating or repeating decimals.
They are ordered as follows:
negative infinity, ..., -5, ..., -3, ..., 0, ..., 3, ..., 5, ..., positive infinity.
That is, large negative are the smallest, and large positives are the greatest.
For this problem, the numbers are given as follows:
4.sqrt(9) = 3.-3.5.-3² = -9(as it is not inside the parenthesis, only 3 is squared and the negative sign stays).2³ = 8.Hence the ordering, from least to greatest, of the numbers is given as follows:
-3², -3, sqrt(3), 4, 5, 2³.
More can be learned about rational numbers at brainly.com/question/12088221
#SPJ1
A circle has a diameter of 9cm a square has a side length 5cm use pythagoras theorem to show the square will fit in the circle without touching the sides
The answer is 9cmsquare +5cmsquare equal to =106cm
Simplify.
√81x6y2
Assume all variables are nonnegative.
Answer:
9x³y²
Step-by-step explanation:
To simplify, factorize 81 in powers of 2 ; x⁶ in powers of 2 and y² in powers of 2.
[tex]\sf \sqrt{81x^6y^2}=\sqrt{9^2 * x^{3*2}*y^2}[/tex]
[tex]\sf = \sqrt{9^2* (x^3)^2)* y^2}\\\\ = 9 * x^3*y^2\\\\=9x^3y^2[/tex]
Marcelo plays a carnival game six times he spent three tokens to play each game and he won 7 tokens each game write two different expressions that can be used to find the total profit in tokens that Marcelo made
The expressions that can be used to find the total profit in tokens that Marcelo made is (7 × 6) - (3 × 7) and 42 - 21.
How to illustrate the information?From the information, Marcelo plays a carnival game six times he spent three tokens to play each game and he won 7 tokens each game.
The appropriate expression will be:
= (7 × 6) - (3 × 7)
= 42 - 21
= 21
Learn more about expressions on:
brainly.com/question/25968875
#SPJ1
How can you express 5 1/3 + -7 2/3 as the sum of its integer and fractional parts
The sum of its integer and fractional parts is 5 + (-7) + 1/3 + 2/3. Option D
What are fractions?Fractions are defined as part of a whole.
The types of fractions include:
Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractionsGiven the expression;
5 1/3 + -7 2/3
The integers are:
5 and -7
The fractions are;
1/3 and 2/3
The sum of the integers and fractional parts are;
5 + (-7) + 1/3 + 2/3
Thus, the sum of its integer and fractional parts is 5 + (-7) + 1/3 + 2/3. Option D
Learn more about fractions here:
https://brainly.com/question/11562149
#SPJ1
Express as trinomial
(2x-2)(2x+8)
The trinomial form of the given expression (2x-2)(2x+8) is 4x² + 12x - 16.
What is the trinomial form of the given expression?Given the expression in the question;
(2x-2)(2x+8)
Expand using FOIL Method.
Apply distributive property
(2x-2)(2x+8)
2x( 2x + 8 ) -2( 2x + 8 )
Apply distributive property
2x(2x) + 8(2x) -2(2x) + 8(-2)
Perform the operation
2x(2x) + 8(2x) -2(2x) + 8(-2)
4x² + 16x - 4x - 16
Combine like terms
4x² + 16x - 4x - 16
4x² + 12x - 16
Therefore, the trinomial form of the given expression (2x-2)(2x+8) is 4x² + 12x - 16.
Learn more about FOIL Method here: https://brainly.com/question/2092062
#SPJ1
Given that 2x+7=27 and 3x+1=28 does 2x+7=3x+1 explain
It is false that 2x + 7 = 3x + 1
How to determine the true statement?The equations are given as
2x + 7 = 27
3x + 1 = 28
The above equations have different values
This means that
It is false that 2x + 7 = 3x + 1
The above statement is true because 27 does not equal 28
Hence, it is false that 2x + 7 = 3x + 1
Read more about equations at
https://brainly.com/question/13763238
#SPJ1
How do I set up the equations for these two problems so I can find X?
The values of x and measures of angles are:
1. x = 12; m<PQS = 71°; m<PQT = 142°; m<TQR = 41°
2. x = 8; m<GDH = 126°; m<FDH = 200°; m<FDE = 137°
How to Find the Measures of Angles?1. Since QS bisects angle PQT, therefore:
measure of angle PQS = measure of angle SQT
Given:
m<SQT = 8x - 25
m<PQT = 9x + 34
m<SQR = 112°
Thus:
m<PQT = 2(m<SQT)
Substitute
9x + 34 = 2(8x - 25)
9x + 34 = 16x - 50
9x - 16x = -34 - 50
-7x = -84
x = 12
m<PQS = m<SQT = 8x - 25
Plug in the value of x
m<PQS = 8x - 25 = 8(12) - 25
m<PQS = 71°
m<PQT = 9x + 34 = 9(12) + 34
m<PQT = 142°
m<TQR = m<SQR - m<SQT [angle addition theorem]
m<TQR = 112 - 71
m<TQR = 41°
2. Given:
m<GDE = 8x - 1
m<EDH = 6x + 15
m<CDF = 43
m<GDE = m<EDH [reason: DE bisects GDH]
Substitute
8x - 1 = 6x + 15
8x - 6x = 1 + 15
2x = 16
2x/2 = 16/2
x = 8
m<GDH = 2(m<GDE)
m<GDH = 2(8x - 1)
m<GDH = 16x - 2 = 16(8) - 2
m<GDH = 126°
m<FDG = 180 - m<CDF - m<GDE
m<FDG = 180 - 43 - (8x - 1)
m<FDG = 180 - 43 - (8(8) - 1)
m<FDG = 180 - 43 - 63
m<FDG = 74°
m<FDH = m<FDG + m<GDH
m<FDH = 74 + 126
m<FDH = 200°
m<FDE = m<FDG + m<GDE
m<FDE = 74 + 63
m<FDE = 137°
Learn more about measures of angles on:
https://brainly.com/question/25770607
#SPJ1
If x is a binomial random variable with n = 20 and p = 0.25, the expected value of x is:_________
The expected value with a sample size of 20 and a probability of 0.25 will be 5.
What is the expected value?The anticipated value is an extension of the weighting factor in statistical inference. Informally, the anticipated value is the simple average of a significant number of outcomes of a randomly selected variable that was separately chosen.
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
If x is a binomial random variable with n = 20 and p = 0.25. Then the expected value is given below.
E(x) = 20 x 0.25
E(x) = 5
The expected value with n = 20 and p = 0.25 will be 5.
More about the expected value link is given below.
https://brainly.com/question/13945225
#SPJ1
Marianna represented several percents as portions of 100 in the pictures below.
A 10 by 10 block of 100 where 8 columns of 10 are shaded.
A 10 by 10 block of 100 where the first row, and 2 and a half squares of the second row are shaded.
A 10 by 10 block of 100 where 1 row of 10 is shaded.
A.Write the percent represented in each picture.
B.Write the portion represented in each picture as a fraction in at least two different ways.
A) The percentage represented in each picture is as follows:
A-1) 80%
A-2) 12.5%
A-3) 10%
B) The portion represented in each picture is written as a fraction as follows:
B-1) 80% = 8/10 or 4/5
B-2) 12.5% = 1.25/10 or 1/8
B-3) 10 = 1/10 or 2/20
What is a percentage?A percentage is a fraction of 100.
A percentage is also a ratio, showing how much of the whole is contained by the portion.
Percentages are written with the percentage sign (%).
Data and Calculations:A-1) 80% for A 10 by 10 block of 100 where 8 columns of 10 are shaded.
A-2) 12.5% for A 10 by 10 block of 100 where the first row, and 2 and a half squares of the second row are shaded.
A-3) 10% for A 10 by 10 block of 100 where 1 row of 10 is shaded.
Learn more about percentages at https://brainly.com/question/24877689
#SPJ1
What is the Domain, Range, and Function?
Step-by-step explanation:
domain = (0,2)
range=(4,-4)
funcion =quadratic
Already did the gradient a , just stuck on gradient B
The gradient of line B is (-1).
What is gradient?The gradient of a line is used to calculate the steepness of a line and determines how much it is inclined with reference to the x-axis. To calculate the gradient of any line, the x and y coordinates of a line are used. In other words, it is the ratio of the change in the y-axis to the change in the x-axis.
The gradient is the measure of the steepness of a straight line.
Given:
coordinates taken from line B is (5, 0) and (-2, 7)
we have [tex]y_2[/tex]= 7, [tex]y_1[/tex]= 0, [tex]x_1[/tex]= 5, [tex]x_2[/tex] =-2
now, substituting the values then,
The gradient is
=[tex]( y_2- y_1)/ (x_2 - x_1)[/tex]
=(7-0) / (-2 - 5)
=7 /(-7)
=-1
Hence, the gradient is -1
Learn more about gradient here:
https://brainly.com/question/24200465
#SPJ1
Plane H contains four points. Points A, C, and D form a diagonal line on the left. Point B is to the right of point C.
Which points are coplanar and noncollinear?
points A and D
points C and D
points A, C, and D
points A, B, and D
Answer:
Points A B D
Step-by-step explanation:
I am assuming in the plane, all the points are inside. For it to be non- collinear, I am pretty sure there has to be points not on the line. In this Case, only A C D are actually on a line. Since B is to the right of C, I don't think that will make a good line. So that is the answer I am going with.
Answer:
d)a ,b,d
Step-by-step explanation:
Solve each equation. Check your answers.
ln 4 r²=3
After solving the equation the value of r in 4 r²=3 is [tex]\sqrt{3/4}[/tex].
We have to find r in 4 r²=3
⇒ 4 r² = 3
⇒ r² = 3/4
⇒ r = [tex]\sqrt{3/4}[/tex]
So, r is equal to [tex]\sqrt{3/4}[/tex]
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
Learn more about linear equations
https://brainly.com/question/14323743
#SPJ4
Let f(x)=4 x, g(x)=1/2 x+7 , and h(x)=-2 x+4 . Perform each function operation. (g⁰ f)(x)
The answer to this question is (gof)(x)=2x+7
According to question:
Given: f(x)=4 x, g(x)=1/2 x+7,h(x)=-2 x+4
(gof)(x)=g(f(x))=g(4x)=1/2×4x+7=2x+7(fog)(x)=f(g(x))=f(x/2+7)=4×(x/2+7)=2x+28We always simplify everything in brackets first using BODMAS. Therefore, in order to compute f(g(x)), g(x) must first be calculated and then substituted within f(x). Similar to this, in order to determine g(f(x)), f(x) must first be computed and then substituted in g(x). In other words, the sequence is important when locating the composite functions. It implies that g(f(x)) and f(g(x)) may not be equal. The following procedures are used to obtain the composite function f(g(a)) for any two functions f(x) and g(x).
By changing x = a in g, find g(a) (x).
Put x = g(a) into f to find f(g(a)) (x)
∴(gof)(x)=2x+7
LEARN MORE ABOUT COMPOSITE FUNCTIONS HERE:
https://brainly.com/question/10687170
#SPJ4
According to the empirical rule, ________ will be within two standard deviations of the mean.
According to the empirical rule, 95% will be within two standard deviations of the mean.
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean. Three-sigma limits that follow the empirical rule are used to set the upper and lower control limits in statistical quality control charts and in risk analysis such as VaR.
The empirical rule is used often in statistics for forecasting final outcomes. After calculating the standard deviation and before collecting exact data, this rule can be used as a rough estimate of the outcome of the impending data to be collected and analyzed.
To know more about "Empirical Rule"
Refer this link:
https://brainly.com/question/10093236
#SPJ4
For the following problems, consider a restaurant owner who wants to sell T-shirts advertising his brand. He recalls that there is a fixed cost and variable cost, although he does not remember the values. He does know that the T-shirt printing company charges $440 for 20 shirts and $1000 for 100 shirts. 331. a. Find the equation C = f (x) that describes the total cost as a function of number of shirts and b. determine how many shirts he must sell to break even if he sells the shirts for $10 each.
To read more about functions:
brainly.com/question/1942499
#SPJ9
For each pair of functions, find f(g(x)) and g(f(x)) .
f(x)=x+3, g(x)=x-5
A composite function exists as a function that depends on another function. The value of f(g(x)) = x-8 and g(f(x)) = x-2.
What is meant by composition function?In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.
Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.
Let the two functions be f(x) = x+3 and g(x) = x-5
f(g(x)) = f(x-5)
simplifying the above equation, we get
f(x-5) = x-5+3
f(g(x)) = x-8
g(f(x)) = g(x+3)
simplifying th above equation, we get
g(x+3) = x+3-5
g(x+3) = x-2
Therefore, the value of f(g(x)) = x-8 and g(f(x)) = x-2.
To learn more about composition function refer to:
brainly.com/question/10687170
#SPJ4
Anya's grandparents decide they want to invest at the bank. They have $35,000 they are willing to invest for 6 years. If they get a 4% interest rate and compound quarterly, how much can they expect to have in their account at the end of their investment time.
Round to the nearest cent (if necessary). Show all work for full credit.
The amount they will expect to have in there account at the end of the investment is 44,440.71 dollars.
How to find compound interest?He grand parents wanted to invest in a bank.
They have $35,000 they are willing to invest for 6 years.
The interest rate is 4% and compounded quarterly.
The amount they will have in there account after 6 years can be calculated as follows:
using compound interest formula,
A = p(1 + r/n)ⁿᵇ
Where
p = principalr = interest rateb = time in yearsn = compoundTherefore,
p = 35000
r = 4% = 0.04
n = 4
b = 6
Amount = 35,000(1 + 0.04 / 4)⁴ˣ⁶
Amount = 35,000(1.01)²⁴
Amount = 35,000 × 1.26973464853
Amount = 44440.7126986
Amount = 44440.71 dollars
Therefore, the amount they will expect to have in there account at the end of the investment is 44,440.71 dollars.
learn more on compound interest here: https://brainly.com/question/24810521
#SPJ1
Bob has a window that is 114 square feet. The window is in the shape of a square. Which of the following expresses the length of one of the sides of the window? A 1142 B √57 C √114 D√111 E 1143 answer as soon as possible :)
The expression of the length of one of the sides of the window is √114
What are areas?The area of a shape is the amount of space on the shape
Which of the following expresses the length of one of the sides of the window?The area of the window is given as
Area = 114 square feet
The shape of the window is a square
The area of a square is calculated as
Area = Length^2
So, we have
114 = Length^2
Take the square root of both sides
Length = √114
Hence, the expression of the length of one of the sides of the window is √114
Read more about area at
https://brainly.com/question/25292087
#SPJ1
Solve please and thanks
Answer: (10, 8)
Step-by-step explanation:
To solve a substitution question, you have to make sure either x or y is alone on the other side of equal sign.
-x + y = -2
^^^this becomes y = -2 + x
Now, since you know what "y" is, you simply replace "y" with our new equation in the other equation.
-x - 2(-2+x) = -26
Then, you do order of operations to get the answer.
First, do distributive property.
-x + 4 - 2x = -26
Next, solve the equation.
-3x + 4 = -26
-3x = -30
x = 10
Since you found what "x" is, you substitute "x" and in one of your equations to find "y", it doesn't matter which one.
-(10) + y = -2
-10 + y = -2
y = 8
Finally, after you got "x" which is 10, and "y" which is 8, you put them in an ordered pair (x, y) which is (10, 8).
P.S. I use Sora and Deltamath too!
Your friend used some simple functions and found that (f⁰g)(x)=(g⁰f)(x) , and concluded that function composition is commutative. Give an example to show that your friend is mistaken.
The composition of f and g, as (fog)(x) = f(g(x)) for functions f and g. g should be applied to x. If fog(x) = x and gof (x) = x for all x values in the domain of f and g, then they are inverse functions.
What is meant by function composition?In mathematics, function composition is an operation in which two functions, f and g, generate a new function, h, in such a way that h(x) = g(f(x)). This means that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Define fog, the composition of f and g, as (fog)(x) = f(g(x)) for functions f and g. g should be applied to x. If fog(x) = x and gof (x) = x for all x values in the domain of f and g, then they are inverse functions.
In math, the domain (the x-values) of one function becomes the range (the y-value answers) of the next function. Composition notation is as follows: (f o g)(x) = f(g(x)) and exists read “f composed with g of x” or “f of g of x”.
To learn more about function composition refer to:
https://brainly.com/question/20759060
#SPJ4