the question in English is
THE SQUARE PERIMETER X IS TWO THIRDS OF THE SQUARE PERIMETER Y. THE PERIMETER OF THE SQUARE Y IS TWO THIRDS OF THE PERIMETER OF THE SQUARE Z. THE AREA OF THE SQUARE X IS 16 CM2 WHAT IS THE AREA OF THE SQUARE Z?
Let
Px--------> the perimeter of square x
Py--------> the perimeter of square y
Pz--------> the perimeter of square z
Ax--------> the area of square x
Az--------> the area of square z
Step 1
Find the length side of the square x
we know that
[tex]Px=\frac{2}{3} Py[/tex] -------> equation A
[tex]Py=\frac{2}{3} Pz[/tex] -------> equation B
[tex]Ax=16\ cm^{2}[/tex]
[tex]Ax=x^{2}[/tex]
so
[tex]x^{2}=16[/tex]
[tex]x=4\ cm[/tex]
Step 2
Find the perimeter of square x
[tex]Px=4x[/tex]
substitute the value of x in the formula
[tex]Px=4*4=16\ cm[/tex]
Step 3
Find the perimeter of square y
use the equation A
[tex]Px=\frac{2}{3} Py[/tex]
solve for Py
[tex]Py=\frac{3}{2} Px[/tex]
substitute the value of Px
[tex]Py=\frac{3}{2}16=24\ cm[/tex]
Step 4
Find the perimeter of square z
use the equation B
[tex]Py=\frac{2}{3} Pz[/tex]
solve for Pz
[tex]Pz=\frac{3}{2} Py[/tex]
substitute the value of Py
[tex]Pz=\frac{3}{2} 24=36\ cm[/tex]
Step 5
Find the area of square z
we know that
the area of the square z is equal to
[tex]Az=z^{2}[/tex]
Find the length side of square z
[tex]Pz=4z[/tex]
[tex]Pz=36\ cm[/tex]
so
[tex]4z=36[/tex]
[tex]z=9\ cm[/tex]
substitute the value of z in the area's formula
[tex]Az=9^{2}=81\ cm^{2}[/tex]
therefore
the answer is
the area of the square z is [tex]81\ cm^{2}[/tex]
f(x) = 1 x g(x) = x − 4 Can you evaluate (g ○ f)(0)? Explain why or why not.
Answer:
To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.
Step-by-step explanation:
NO, because the resulting function for (g ○ f)(0) tends to infinity
An undefined term or function is a term or function that does not exsit.
A composite function is a function that is placed in another function.
Given the functions
f(x) = 1/x g(x) = x − 4
Before we can calculate the composite function (g ○ f)(0), we ned to first calculate (g ○ f)(x) as shown:
(g ○ f)(x) = g(f(x))
g(f(x)) = g(1/x)
Substitute x as 1/x in g(x) as shown:
[tex]g(f(x)) =g(\frac{1}{x} )\\g(\frac{1}{x} )=(\frac{1}{x}-4 )\\Find \ the \ LCM\\g(\frac{1}{x} )=(\frac{1-4x}{x} )\\[/tex]
NExt is to check whether we can evaluate (g ○ f)(0) by substituting x = 0 into the resulting function as shown:
[tex]g(f(0) )=(\frac{1-4(0)}{0} )\\g(f(0) )=(\frac{1}{0} )\\g(f(0) )=\infty[/tex]
We can see that the resulting function tends to infinity which shows that g ○ f)(0) cannot be evaluated.
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Kim rented a bike from Kayla’s bikes. It cost $20 Plus $8 per hour. If Kim paid $52, then she rented the bike for how many hours?
x = the number of hours
write an equation of the problem: 8x + 20 = 52
subtract 20 from each side: 8x = 32
divide each side by 8: x = 4
she rented the bike for 4 hours.
combine terms to simplify. 93a-3b-10a+6
93a - 3b - 10a + 6 = (93a - 10a) + (-3b) + (6) = 83a - 3b + 6
A plane traveled 2135 miles with the wind in 3.5 hours and 1855 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of wind.
Answer:
The speed of air in still air =570 mph and
speed of wind = 40 mph
Step-by-step explanation:
Given that plane travelled 2135 miles in 3.5 hours with the wind.
Let the velocity of plane be x and that of wind be y.
Then with the wind speed =x+y and
against the wind the speed = x-y
Use distance = time x speed
Since travelled 2135 miles in 3.5 hours we have
2135 = 3.5 (x+y) ... i
Similarly with x-y speed it travelled 1855 miles in 3.5 hours
i.e. 1855 = 3.5(x-y) ... ii
Solving these two we can get x and y
i-ii gives
3.5y+3.5y = 2135-1855 = 280
i.e. 7y =280
Or y = 40 mph
Substitute in i
3.5(x+40) = 2135
x+40 = 610
x = 570 mph
Hence the speed of air in still air= x =570 mph and
speed of wind = 40 mph
To find the speed of the plane in still air and the speed of the wind, set up a system of equations using the given information and solve them simultaneously.
Explanation:To find the speed of the plane in still air and the speed of the wind, we can set up a system of equations using the given information. Let's call the speed of the plane in still air 'p' and the speed of the wind 'w'.
Given that the plane traveled 2135 miles with the wind in 3.5 hours, we can represent this as p + w = 2135/3.5.
Similarly, given that the plane traveled 1855 miles against the wind in 3.5 hours, we can represent this as p - w = 1855/3.5.
Solving these two equations simultaneously will give us the values of 'p' and 'w'.
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The equation -x = y + 7 written in slope-intercept form is
y = x + 7
y = -x - 7
y = -x + 7
I think that it's B, y = -x - 7 because first you'd subtract y to get it on the other side then add x and then you'd need to make the y positive so you would divide x + 7 by -1 and that would make it y = -x - 7.
Answer:
Step-by-step explanation:
Start with -x = y + 7. Subtract 7 from both sides. Then y = -1x - 7. This is the equation in slope-intercept form.
I Need help please I don’t understand this
Remember that parentheses come first. Follow PEMDAS
CAN SOMEONE PLEASE HELP ME!!!!!
The probability is 15%.
The answer you are looking for is 15%.
To find this answer, you must add up all the CDs to find the total. The total number of CDs is 40, which you divide into 6 (6/40). In doing so, you'll get 0.15, which you multiply by 100 to make it a percent. Thus making the answer 15%.
I hope this helps!
Does 14.2857143 round to a whole number
Answer:
Yes it can be rounded to the nearest whole Number 14
Step-by-step explanation:
Which statement most accurately summarizes the text? forensic science version.
A.Criminal investigators still solve crimes in the same manner Sherlock Holmes solved crimes many years ago.
B.Forensic science is a complicated process that relies too much on human perception and not enough on actual scientific evidence.
C. From the several types of evidence that can be presented at trial, including eyewitness testimony, forensic evidence is the most reliable.
D. Solving crimes involves law enforcement officials working together to gather many types of evidence to construct a clear picture of a crime.
I feel the best answer would be c
If y = 6x - 4 which of the following sets represents possible inputs and outputs of the function represented as ordered pairs?
(0,-4) (1,2) (3,14)
(5,20) (2,10) (-1,-3)
(-3,-15) (6,25) (3,5)
(4,18) (0,10) (0,-2)
The only of these that is a proper set of ordered pairs for this equations is A) (0,-4) (1,2) (3,14)
In order to prove this, you need to put each ordered pair into the equation and prove that it is a true statement. Below are the examples of this for A.
(0, -4)
y = 6x - 4
-4 = 6(0) - 4
-4 = 0 - 4
-4 = -4 (TRUE)
(1, 2)
y = 6x - 4
2 = 6(1) - 4
2 = 6 - 4
2 = 2 (TRUE)
(3, 14)
y = 6x - 4
14 = 6(3) - 4
14 = 18 - 4
14 = 14 (TRUE)
Therefore, each of these ordered pairs works in the equation.
The set of ordered pair which is representing the inputs and outputs of the given function is (0,-4) (1,2) (3,14)
What are functions?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that, is a function, y = 6x - 4, we need to identify the possible inputs and outputs of the function from the given ordered pairs,
To find the same, we need to put each ordered pair into the equation,
(i) (0, -4)
y = 6x - 4
-4 = 6(0) - 4
-4 = 0 - 4
-4 = -4 [correct]
(ii) (1, 2)
y = 6x - 4
2 = 6(1) - 4
2 = 6 - 4
2 = 2 [correct]
(iii) (3, 14)
y = 6x - 4
14 = 6(3) - 4
14 = 18 - 4
14 = 14 [correct]
Therefore, each of these ordered pairs satisfy the equation.
Hence, the set of ordered pair which is representing the inputs and outputs of the given function is (0,-4) (1,2) (3,14)
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The function c(x) = 0.5x+70 represents the cost c (in dollars) of renting a truck from a moving company, where x is the number of miles you drive the truck.
a. Graph the function and identify its domain and range. Write your answers as inequalities.
Thankss!!!!
Given function: c(x) = 0.5x+70.
Where c is the cost (in dollars) and x is the number of miles you drive the truck.
If we compare given function by slope-intercept form y=mx+b, we get
Slope m = 0.5 in fractions could be written as 1/2.
And y-intercept b =70.
So, in order to graph it, we need to plot y-intercept at 70 first and then plot some more points using rise/run = 1/2.
The red line is the graph for the given function.
We can see that starting value of cost is $70 for 0 number of miles.
x values represents domain and C(x) represents range.
We can take x values greater than or equal to 0 and C values greater than equal to 70.
Therefore, Domain: x≥0 and Range : C(x) ≥ 70.
how many times does 3 go into 22
7 1/3 because 7 times 3 equals 21 then you add 1 and it makes 7 and 1/3
Divide 3 with 22
22/3 = 7.33 repeating
7.33 = 7 1/3
3 goes into 22 7 1/3 of a time
hope this helps
Benjamin had 1/2 lb of modeling clay. He used 1/5 lb on Monday and another 1/4 lb on Tuesday. How many pounds of clay does Benjamin have left after Tuesday? Enter your answer in simplest fractional form in the box.
Answer: 1/20 pounds
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Modeling clay available: 1/2lb Modeling clay used: 1/5 lb on Tuesday and 1/4 on Tuesday.So, we have to subtract the amount of clay used (1/5 +1/4) to the amount of clay available (1/2).
Mathematically speaking:
1/2 lb - ( 1/5 lb +1/4 lb) =
1/2 lb - 9/20 lb = 1/20 lb = 1/20 pounds
which value x makes the equation 0.75(x+20)=2+0.5(x-2)
0.75(x+20)=2+0.5(x-2)
Distribute on both sides
0.75x+15= 2+0.5x-1
Add common factors
0.75x+15=1+0.5x
Subtract 0.5x on both sides
0.25x+15=1
Subtract 15 on both sides
0.25x=-14
Divide by 0.25 on both sides
x = -56
The value of x that will make both equations to be equivalent to each other is = -56
From the equation:
0.75(x + 20) = 2 + 0.5(x - 2)
Open brackets
0.75x + 15 = 2 + 0.5x - 1
Collect like terms
0.75x - 0.5x = 2 - 1 - 15
0.25x = - 14
Divide both sides by 0.25
[tex]\mathsf{\dfrac{0.25x}{0.25} =\dfrac{ - 14}{0.25}}[/tex]
x = -56
Therefore, we can conclude that the value of x that will make both equations to be equivalent to each other is -56
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how would you find the ordered pair for point H
if 6 sandwich rolls cost $1.44, how much will 26 rolls cost?
$6.24. This is because 1.44 / 6 = 0.24, and 0.24 x 26 = 6.24.
the answer is $37.44
i need help with this riddle
Clue 1 : My number has two digits,and both digits are even.
Clue 2: the sum of my numbers digits is 10.
Clue 3. My number has 4 as a factor.
Clue 4 the difference between the two digits of my number is 6 .
If we see first option: A. 28.
a) Both digits 2 and 8 are even.
b) Sum of 2 and 8 is 10.
c) 28 has a factor 4.
d) Difference between 8 and 2 is 6.
Therefore, correct option is A. 28.
Answer:i would say A)28
Step-by-step explanation:
Stable electron configurations are likely to contain ____.
How many unpaired electrons are in a sulfur atom (atomic number 16)?
A- Stable electron configurations are likely to contain - filled energy sub-levels.
B- How many unpaired electrons are in a sulfur atom (atomic number 16)? Answer is 2
Answer:
Conexus:
Step-by-step explanation:
B, C, D, C, C, A.
PLZ HELP. Marcus and 3 friends collected $1,548 for charity and will give the same amount to 18 different groups
How many money will each group get?
You created a new playlist in 100 of your friends listened to it and shared if they likedThe new playlist or not nadhi said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25 Dylan said that for every three people who like to playlist one person did not Do Nadhii and Dylan Agree explain why or why not
Given
You created a new playlist in 100 of your friends listened to it and shared if they liked
The new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.
Dylan said that for every three people who like to playlist one person did not
Find out Do Nadhii and Dylan Agree or not.
To proof
As given in the question
created a new playlist in 100 of your friends listened to it and shared if they liked
new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.
Simply the ratio of people who liked the playlist to those who did not like the playlist
[tex]= \frac{75}{25}[/tex]
[tex]= \frac{3}{1}[/tex]
Thus
[tex]\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}[/tex]
also
Dylan said that for every three people who like to playlist one person did not
In the form of ratio written as
[tex]\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}[/tex]
the value of both new playlist and Dylan said about the ratio of people who liked the playlist to those who did not like the playlist is 3:1.
The value both of their ratio are equivalent .
Thus Nadhii and Dylan Agree
Hence proved
5n = -20 . How do I solve this equation?
Get the variable alone by doing the same thing to both sides. You will divide 5 by both sides which gets you to 5n/5 = -20/5. You can then cancel out the 5n/5 to get just n. Then find the greatest common factor of the numerator and denominator of -20/5, and then cancel out the GCF.
The answer is n = -4
The solution to the equation 5n = -20 is n = -4.
How did we get the value?To solve the equation 5n = -20, you can follow these steps:
Step 1: Divide both sides of the equation by 5 to isolate the variable n.
(5n) / 5 = (-20) / 5
Simplifying the equation gives you:
n = -4
So the solution to the equation 5n = -20 is n = -4.
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simplify (2 x 10^3) (4 x 10^-5)
the answer to this problem is 2/25. I got this by simplifying both exponents which changes the equation to (2)(1000)(4)(1/100000). Then you multiply the other numbers by its simplified exponent and makes the equation 2000(1/25000). The last step is to multiply those two and you get your answer, 2/25(simplified version) :)
To simplify (2 x 10^3) (4 x 10^-5), you multiply the numbers 2 and 4 to get 8 and add the exponents +3 and -5 to get -2, giving the final result of 8 x 10^-2.
Explanation:To simplify the expression (2 x 10^3) (4 x 10^-5), you need to multiply the numbers (2 and 4) and the exponents of 10 (+3 and -5) separately. To multiply 2 and 4, you get 8. When multiplying numbers with exponents, you add the exponents together. So, 10^3 multiplied by 10^-5 is the same as 10^(3 - 5), or 10^-2. So the answer is 8 x 10^-2.
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PLEASE HELP, OFFERING A GOOD AMOUNT OF POINTS FOR WHO HELPS.
Vanessa wants to cover her closet floor with tile’s that are 1/3 feet on each side the closet is 3 1/3 feet wide on a 6 foot deep. How many towels with Vanessa need to cover the closet floor
She will need 51
3.4 multiple by 6 for the sq feet then multiple by 3.4 which gives
24.4 sq feet divided by .4 is 51
Answer:
180 tiles.
Step-by-step explanation:
We have been given that Vanessa wants to cover her closet floor with tile’s that are 1/3 feet on each side the closet is 3 1/3 feet wide on a 6 foot deep.
To find the number of tiles needed to cover the closet floor, we will divide area of closet floor by area of each tile as:
[tex]\text{Area of closet floor}=3\frac{1}{3}\text{ feet}\times 6\text{ feet}[/tex]
[tex]\text{Area of closet floor}=\frac{10}{3}\text{ feet}\times 6\text{ feet}[/tex]
[tex]\text{Area of closet floor}=10\text{ feet}\times 2\text{ feet}[/tex]
[tex]\text{Area of closet floor}=20\text{ feet}^2[/tex]
[tex]\text{Area of each tile}=\frac{1}{3}\text{ feet}\times \frac{1}{3}\text{ feet}[/tex]
[tex]\text{Area of each tile}=\frac{1}{9}\text{ feet}^2[/tex]
[tex]\text{Tiles needed to cover the closet floor}=20\text{ feet}^2\div \frac{1}{9}\text{ feet}^2[/tex]
Convert into division problem by flipping the fraction:
[tex]\text{Tiles needed to cover the closet floor}=20\times\frac{9}{1}[/tex]
[tex]\text{Tiles needed to cover the closet floor}=180[/tex]
Therefore, Vanessa needs 180 tiles to cover the closet floor.
Which of the following shoes the graph of the inequality y> -x -2?
we have that
[tex]y > -x-2[/tex]
using a graphing tool
see the attached figure
The solution is the shaded area above the dashed line
The slope of the line is m=-1
The x-intercept is the point (-2,0)
The y-intercept is the point (0,-2)
therefore
the answer in the attached figure
solve the proportion.if necessary round to the nearest hundredth y_10÷6=7÷10
1.7=0.7 is the answer
i need help asap I don't get this
The correct answer is C. They are going down by 3.
Combine like terms 12p-10(p-5)
Simplifying
2(3(4 + p) + p) + p
2((4 * 3 + p * 3) + p) + p
2((12 + 3p) + p) + p
Combine like terms: 3p + p = 4p
2(12 + 4p) + p
(12 * 2 + 4p * 2) + p
(24 + 8p) + p
Combine like terms: 8p + p = 9p
24 + 9p
How do you convert a fraction or decimal to a degree?
To convert a fraction or decimal to a degree, convert the fraction to a decimal if necessary, and then multiply by 360 to get the degree measurement.
Explanation:The question is about how to convert a fraction or decimal to a degree, which is fundamentally a process of unit conversion. While the base information provided relates to converting decimals to percents and vice versa, converting to degrees requires a different approach.
To convert a decimal to a degree, you need to understand that one whole turn (360 degrees) equals a value of 1 in decimal form. If you have a decimal, you simply multiply it by 360 to get the degree measure. For a fraction, you convert it to a decimal by dividing the numerator by the denominator and then multiply by 360 to convert to degrees.
For example, to convert the fraction 1/2 to degrees, first convert it to a decimal (1 divided by 2 equals 0.5), then multiply by 360 to get 180 degrees. Similarly, to convert the decimal 0.25 to degrees, you would multiply 0.25 by 360 to get 90 degrees.
The sum of 6 and 3 divided by the difference of 6 minus 3
The sum of 6 and 3: 6+3
The difference of 6 minus 3: 6-3
The sum of 6 and 3 divided by the difference of 6 minus 3: [tex]\frac{6+3}{6-3}[/tex][tex]=\frac{9}{3}=3[/tex]
I hope this helps :)
Final answer:
To solve the expression given in the question, perform subtraction first (6-3), then addition (6+3), and finally, divide the sum by the difference to get the answer, which is 3.
Explanation:
The question asks us to find the sum of 6 and 3 divided by the difference of 6 minus 3. To find this, we must apply the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Firstly, let's find the difference of 6 minus 3:
6 - 3 = 3.
Now we shall find the sum of 6 and 3:
6 + 3 = 9.
Lastly, we divide the sum by the difference we found earlier:
9 / 3 = 3.
So the answer to the question is 3.