After cross multiplying the given equation the value of x turns out to be 9.
What is cross multiplication?
In mathematics, specifically in abecedarian computation and abecedarian algebra, given an equation between two fragments or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.In cross-multiplication, we multiply the numerator of the first bit with the denominator of the alternate bit and the numerator of the alternate bit with the denominator of the first bit. Cross-multiplication can be used to add or abate unlike fragments snappily.Cross-multiplication is also appertained to as a butterfly system.21 × X =9×21
X = 9
After cross multiplying the given equation the value of x turns out to be 9.
Learn more about cross multiplication here: https://brainly.com/question/294036
#SPJ9
Find the quotient of 32×10-22 over 8×10-22
Answer:
5 4/29
Step-by-step explanation:
Rewrite as 298/58 and do the math
You want to put a 2 inch thick layer of topsoil for a new 25 ft by 34 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
the answer is d just did it
Which number has a 4 that is 10 times greater than the 4 in 542?
A. 5,420
B. 54.2
C. 5.42
D. 0.542
Answer:
A. 5,420
Step-by-step explanation:
4 in 542 is in the tens place and 4 in 5,420 is in the hundreds.
The number A. 5420 has a 4 that is 10 times greater than the 4 in 542.
What is the standard decimal form of numbers?The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.
Each digit has a face value and a place value.
The expanded form of 542 is 5×100 + 4×10 + 4.
So, 10 times greater than it should be a multiple of 100 or a digit in the hundreds place.
From the given options the number 5420 in the expanded form is,
5×1000 + 4×100 + 2×10 + 0.
So, The number 5420 has a 4 that is 10 times greater than the 4 in 542.
learn more about the expanded form of numbers here :
https://brainly.com/question/351709
#SPJ2
When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of the function a) 0 b)1 c)the same as the numerator
When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of the function is; a) 0
What is an Undefined Function?
A function that is a fraction is said to be undefined when the denominator is equal to zero. If there are variables in the denominator, the point at which the expression in the denominator is zero is the point where that function is undefined.
From the question, we want to know what the value of the denominator of a fraction will be to make that fraction undefined. From the definition above, it is clear that the value would be zero.
Read more about Undefined function at; https://brainly.com/question/13136492
#SPJ1
Which may be a cost of inflation?
Higher prices
Consumer panic
Higher pay for workers
Increased business profits
Answer:
consumer panic
Step-by-step explanation:
What is the equation of the tangent of f(x) 3 X at (1, 3)?
The Equation of the tangent line is y = 4x - 1.
According to the statement
We have to find that the equation of the tangent of the line.
So, For this purpose, we know that the
Equation of the tangent line can be found using the formula y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.
From the given information:
f(x) = 3 X at (1, 3)
Then
The tangent line of a curve y = f(x) is a line that touches the curve at a point (x0, y0). Its slope (m) is found by substituting the point where it is drawn in the derivative f'(x) and its equation is found by using y - y0 = m (x - x0).
From the given it is clear that the slope of the equation is a 3.
Then m = 3
then
y – y1 = m (x – x1)
Substitute the points here
y - 3 = 4(x - 1)
Then
y = 4x - 4 +3
y = 4x - 1.
So, The Equation of the tangent line is y = 4x - 1.
Learn more about Equation of the tangent here
https://brainly.com/question/6617153
#SPJ9
Which expression has the greatest absolute value?
Answer:
3 because everything is minus
4/5 + 1/2 - 1/3 in simplest form
Answer: 24/25
The answer to the question is 0.96, 0.96 in simplest form is 24/25
evaluate 2pq - r for p = 3, q = 2 and r = 5
Answer:
7
Step-by-step explanation:
[tex]2 \times p \times q - r\\= 2 \times 3 \times 2 - 5\\= 2 \times 3\\= 6\\= 6 \times 2\\= 12\\= 12 - 5\\= 7[/tex]
I NEED HELP PLS SOMEONE
1. 15/4 written as a decimal is 3.75
2. 5/6 written as a decimal is 0.83(repeating 3)
3. 11/3 written as a decimal is 3.6(repeating 6)
Division operationFrom the question, we are to write each fraction as a decimal
1. 15/4
3.75
4)15.00
-12
3.0
-28
20
-20
0
15/4 written as a decimal is 3.75
2. 5/6
0.833
6)5.00
-48
20
-18
20
-18
2
5/6 written as a decimal is 0.83(repeating 3)
3. 11/3
3.66
3)11.00
- 9
20
-18
20
-18
2
11/3 written as a decimal is 3.6(repeating 6)
Learn more on Division here: https://brainly.com/question/19112287
#SPJ1
Translate to an equation please.
four less than thirteen times a number is equal to that number added to eight
Hi
let call "a number" X.
then we have: 4-13X = X + 8 ..
A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests.
The system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y.
First, place a point on the graph representing the solution to the system of equations. Notice that one of the equations in the system has already been graphed.
Then, determine the approximate number of guests that were children and the approximate number of guests that were adults for that day.
The approximate number of guests that were children are 172 and adults are 278
How to determine the approximate number of guests that were children and adults for that day?From the complete question, we have the following system of equations
25x + 12y = 9014
x + y = 450
Make y the subject in x + y = 450
y = 450 -x
Substitute y = 450 - x in 25x + 12y = 9014
25x + 12(450 - x) = 9014
Expand the expression
25x + 5400 - 12x = 9014
Evaluate the like terms
13x = 3614
Divide both sides by 12
x = 278
Substitute x = 278 in y = 450 -x
y = 450 - 278
Evaluate
y = 172
Hence, the approximate number of guests that were children are 172 and adults are 278
Read more about system of equations at:
https://brainly.com/question/14323743
#SPJ1
reflection across y = -x please I need help I will mark you brainless
What number can be divided into 2 equal groups without a remainder?
Answer:
Step-by-step explanation:
When we divide one number by another and there is no remainder, the divisor A the quotient are the of the first number.
8/2=4
X,Y, and Z are collinear points on the same segment, and Y is between X and Z. If XY = 11 and XZ = 13, use the
Segment Addition Postulate to find YZ.
Answer: X, Y, Z are collinear points on the same segment, Then YZ=2.
Step-by-step explanation:
Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.
X, Y, Z are collinear points on the same segment, and Y is between X and Z.
As given Y is between X and Z
We can write,: YZ+XY=XZ
If, XY=11
XZ=13
Replace XY and XZ values in above equation
So, YZ+XY=XZ
YZ+11=13
Solve to get, YZ=13-11
YZ=2
So, X, Y, Z are collinear points on the same segment, and Y is between X and Z, use the segment addition postulate, then YZ=2.
Learn more about area here https://brainly.com/question/5191341
#SPJ9
The value of a phone when it was purchased was $500. It loses 1/5 of its value a year. What is the value of the phone after 1 year, 2 years, and 3 years?
Answer:
$200
Step-by-step explanation:
1/5 of 500 is 100 because 5 100s equal 500. so 3 years is 300. 500-300=200
The short-run production function of the Auto parts firm is given by Q (L)=5L-L2, where Q is the units of output and L is the number of labor hours. Recall that “marginal product of labor” is the change in the total product as we change the amount of hired labor. Please calculate the marginal product of labor.
Hint: Use the concept of first derivative.
I am sure that I am not calculate it correcctly, as I am getting L = 5 and Q = 0 when calculated using first derivative.
Please provide a detailed answer.
Thank you.
Using derivatives, the equation for the marginal product of labor is given by:
Q'(L) = 5 - 2L.
What is the marginal product equation?As stated in the problem, the “marginal product of labor” is the change in the total product as we change the amount of hired labor, hence it is given by the derivative of the production as a function of labor.
For this problem, the production function is given by:
Q(L) = 5L - L².
Hence the marginal product of labor is given by:
Q'(L) = 5 - 2L.
Which is the derivative of Q(L), found applying the derivative of a power of x, as follows:
[x^n]' = nx^(n-1).
More can be learned about derivatives at https://brainly.com/question/2256078
#SPJ1
What is the measure of Lx?
30°
45
x
Answer:
75 =x
Step-by-step explanation:
We can use angle addition to find the measure of angle x
30 + 45 = x
75 =x
Answer:
x = 75°
Step-by-step explanation:
x = 30° + 45°
x = 75°
In a bag of mixed nuts, 46% were peanuts, 0.16 were cashews, and 56 out of the 150 nuts were almonds. Select the statements that are true, based
on the information above. Select all that apply.
A. 16 of the nuts cashews
B. 1/6 of the nuts were cashews
C.69 of the nuts were peanuts
D.25 of nuts were cashews
Point W is the midpoint of Segment VY. VW=9x + 7 and WY = 16x - 28. Find VY.
since W is the midpoint, that simply means that both halves are twins, so
[tex]V\stackrel{9x+7}{\rule[0.35em]{10em}{0.25pt}} W\stackrel{16x - 28}{\rule[0.35em]{10em}{0.25pt}} Y \\\\\\ \stackrel{VW}{9x+7}~~ = ~~\stackrel{WY}{16x-28}\implies 7=7x-28\implies 35=7x\implies \cfrac{35}{7}=x \\\\\\ \boxed{5=x}\hspace{5em}\stackrel{VW}{9(5)+7\implies 52}\hspace{5em}\underset{52~~ + ~~52}{\stackrel{\textit{\LARGE VY}}{104}}[/tex]
The length of segment VY, represented by "a," is 25x - 21.
How to find the length of the segmentTo find the length of segment VY, we can use the fact that W is the midpoint of VY. The midpoint of a line segment divides it into two equal parts. Therefore, the length of VW plus the length of WY equals the length of VY.
Let VY be represented by "a." Then, according to the midpoint property:
VW + WY = VY
Substitute the given expressions for VW and WY:
(9x + 7) + (16x - 28) = a
Now, combine like terms:
25x - 21 = a
So, the length of segment VY, represented by "a," is 25x - 21.
Read more on segments here https://brainly.com/question/280216
#SPJ3
If 2log(x-y)=log x+log y,prove that 2 log(x+y)=log 5+log x+log
Let us understand the properties of Logarithms. In mathematics Logarithms are the inverse of exponential function. In the simplest case, the logarithm counts the number of times same factor in present in a repeated multiplication.
Logarithm of base 10 is also known as common logarithm.Logarithm of base e is called natural logarithm also written as( [tex]ln[/tex])A logarithm of a number 'x' to a base 'y' is defined as:
[tex]log_y^x=z (y > 0)[/tex]
which represents [tex]y^{z} =x[/tex]
According to the properties of Logarithm :
Product Law: [tex]log (a)+log(b)=log(ab)[/tex]Quotient Law: [tex]log (a)-log(b)=log(\frac{a}{b} )[/tex]Power Law: [tex]alog (x)=log(x)^{a}[/tex]Now let us solve the given problem:
[tex]2 log (x-y)=log x+ log y\\or,log(x-y)^2=log(xy)\\or,log(x^2+2xy+y^2)=log(xy)[/tex]
[tex]or,x^{2} +2xy+y^{2}=xy\\[/tex] ( taking anti-logarithms on both sides)
[tex]or,x^{2}+y^{2}=xy+2xy[/tex]
Now let us use the above equation to solve
Left Hand Side:
[tex]2 log(x+y)\\=log(x+y)^2\\=log(x^{2} +2xy+y^{2} )\\=log(x^2+y^2+2xy)\\=log(xy+2xy+2xy)\\=log(5xy)\\=log(5)+log(x)+log(y)[/tex]
=Right Hand side
Hence the statement is proved by using the properties of logarithm.
To learn more about Logarithm:
https://brainly.com/question/20785664
#SPJ9
Identify the errors made in finding the inverse of
y = x- + 12x.
x = y2+ 12x
y?=x-12x
y2=-11x
y=V-11x, for x 2 0
Describe the three errors.
The following mistakes were made in the solution of the inverse function:
There is an incorrect swap between the variables y and x.The ± sign should be included in the square root.The domain of the function is incorrect because the radicand can only have a real value if x is less than 0.What are inverse functions?The original value for which the function's output was provided is returned by the inverse function.F and G are inverse in terms of functions, with f(g(x)) = g(f(x)) = x.The initial value is returned by a function that is its inverse. The inverse of f is then g(y) = (y-5)/2 = x. (x).Therefore, the first error is caused by the incorrect variable swap.
The correct expression is:
x = y² + 12yThe following error is:
y = √-11xThe correct expression:
y = ± √-11xFinally, the domain is incorrect.
Because if x is 0 or positive, y = -11x has no true value.As a result, the following errors were made in the inverse function solution:
There is an incorrect swap between the variables y and x.The ± sign should be included in the square root.The domain of the function is incorrect because the radicand can only have a real value if x is less than 0.Know more about inverse functions here:
https://brainly.com/question/3831584
#SPJ9
The correct question is given below:
Identify the errors made in finding the inverse of y = x2 + 12x.
Describe the three errors.
Math is hard, math be hard, hard be math, math math math
Answer:
math BE hard hard hard hard
Answer:
Math is actually easy for me. I started going into 7th grade when I was in 6th grade and it was just a month after school started.
Step-by-step explanation:
I guess you guys need help. Everyone needs help sometimes and I get it. So math is easy for me but It might be hard for you. I'm out.
There are 10 marbles. What is the probability of drawing two yellow marbles if the first one is not placed back into the bag before the second draw?
Answer: 1/10
Step-by-step explanation:
Can someone please help me Write the ordered pair for each
letter on the graph
The ordered pair for each letter on the graph would be A at (2, 4), B at (-1, 2), C at (-3, -2), D at (2, 0), E at (0, 4), and F at (5, -5).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
As per the given graph,
The coordinates of point A would be (2, 4)
The coordinates of point B would be (-1, 2)
The coordinates of point C would be (-3, -2)
The coordinates of point D would be (2, 0)
The coordinates of point E would be (0, 4)
The coordinates of point F would be (5, -5)
Therefore, the ordered pair for each letter on the graph would be A at (2, 4), B at (-1, 2), C at (-3, -2), D at (2, 0), E at (0, 4), and F at (5, -5).
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ1
the mean weight of a group of 15 boys is 65 kg . one boy joins the group and his weight is 45 kg . what is the average weight of all the boys
I need the answer within 2 to 3 days!
Answer:
The new average is
63.75kg
Step-by-step explanation:
We have 15 boys with avg. weight of 65kg. That means that the sum of their weights is:
15*65kg = 975kg
We add a boy weighing 45kg. The new sum is
975kg + 45kg = 1020kg
To get the new average, we need to divide by the number of boys. It's no longer 15, because we've added one. It's now 16
avg_weight = 1020kg / 16 = 63.75kg
What is the area of FGH? (Please help it’s due tmrw !! I’ll mark you brainliest)
Answer:
102.0625 square units
Step-by-step explanation:
First determine the length of each side using the distance formula for two points. Then use Heron's formula to determine the area of a triangle given three sides
Distance Formula
The distance between two points is the length of the path connecting them
The distance between points (x₁, y₁) and (x₂, y₂) is given by the Pythagorean theorem:
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
Let's compute the lengths of the sides FH, FG and HG
The three vertices are F(-2, 5) G(7, -10) and H(-9, -6) as indicated on the graph
So length FG between (-2,5) and (7,-10)
[tex]FG= \sqrt {(7 - (-2))^2 + (-10 - 5)^2}[/tex]
[tex]= \sqrt {(9)^2 + (-15)^2}[/tex]
[tex]= \sqrt {{81} + {225}}[/tex]
[tex]= \sqrt {306}[/tex]
FG [tex]= 17.492856[/tex] (round to 17.5)
Length FH between(-2,5) and (-9, -6) is
[tex]FH = \sqrt {(-9 - (-2))^2 + (-6 - 5)^2}[/tex]
[tex]= \sqrt {(-7)^2 + (-11)^2}[/tex]
[tex]= \sqrt {{49} + {121}}[/tex]
[tex]= \sqrt {170}[/tex]
FH [tex]= 13.038405[/tex] (can be rounded to 13.04
Length GH between (7, -10) and (-9, -6) is
[tex]GH = \sqrt {(-9 - 7)^2 + (-6 - (-10))^2}[/tex]
[tex]= \sqrt {(-16)^2 + (4)^2}[/tex]
[tex]= \sqrt {{256} + {16}}[/tex]
[tex]= \sqrt {272}[/tex]
GH [tex]= 16.492423[/tex] (can be rounded to 16.5)
Determining the area of a triangle given 3 sides
Heron's formula allows us to find the area of a triangle given 3 sides If the sides are a, b and c the general form of Heron's formula is
[tex]Area = \sqrt {s(s-a)(s-b)(s-c)}[/tex]
where s is the semi-perimeter = [tex]\frac{a+b+c}{2}[/tex]
Substituting values we get
s = [tex]\frac{17.5+13.04+16.5}{2} = 23.52[/tex]
[tex]Area = \sqrt {23.52(23.52-17.5)(23.52-13.04)(23.52-16.5)}[/tex]
[tex]= \sqrt{23.52\cdot6.02\cdot10.48\cdot7.02}[/tex]
[tex]102.0625[/tex] square units
Tim always eats strawberries in multiples of three. Todd eats them in multiples of four and Rick in multiples of six. Gavin is not fussy
about it but likes cream to go with them. Uncle Sam wants each of the four kids to eat the same number of strawberries. What is the
minimum number of strawberries that he has to give to each kid?
Answer:
12
Step-by-step explanation:
3*4 = 12
12/6 = whole number
6/4 is not a whole number
12 is the lowest it could be.
Also those kids have issues.
Find the value of x.
to
75°
125°
x =
Answer:
USE AIR MATH!!
Step-by-step explanation:
hope that helps
Whatis the sum and classicalion of 3/20 + /10
Answer:
13 /20
Step-by-step explanation:
tou need to find LCM and do the process by your own