Answer:
Yes
Step-by-step explanation:
I think because you didn't finish explaining the question, go check.
I can't understand what you are trying to ask.
A square with a whole number side length would have the same perimeter or area as the dog pen, assuming that the pen is rectangular.
If a square with a side length of s has the same perimeter as the dog pen, then we can write:
4s = 2(l + w) 2s = l + w
Since s is a whole number, l + w must be an even number. This means that both l and w must have the same parity (they must both be even or both be odd) for the equation to be true. However, if both l and w are even, then the ratio of l:w will not be a whole number, which means that a square with the same area as the dog pen cannot exist with whole number side lengths.
If a square with a side length of s has the same area as the dog pen, then we can write:
[tex]s^2[/tex]= lw
Since s is a whole number, we can express it as the product of two whole numbers:
s = ab
Substituting this into the equation for the area, we get:
[tex]a^2 b^2[/tex] = lw
This means that l and w must have at least two factors each that are perfect squares. However, if we assume that the dog pen is rectangular, then its dimensions cannot both have two factors that are perfect squares, which means that a square with the same area cannot exist with whole number side lengths.
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Note: The complete question is - Could a square with a whole number side length have the same perimeter as the dog pen? Could a square with a whole number side length have the same area as the dog pen?
A rectangular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inches tall. What is the area of the frame not covered by the painting? Show your work.
The area of the frame not covered by the painting is 192 square inches
Solution:
Given that, A rectangular painting is 24 inches wide and 20 inches tall without the frame
The area of rectangle is given as:
[tex]Area = length \times width[/tex]
Find the area of painting without frame:
Length = 20 inches
Width = 24 inches
[tex]Area\ Without\ Frame = 20 \times 24 = 480[/tex]
Thus area of painting without frame is 480 square inches
With the frame, it is 28 inches wide and 24 inches tall
Find the area of painting with frame:
Length = 24 inches
Width = 28 inches
[tex]Area\ with\ frame = 24 \times 28 = 672[/tex]
Thus area of painting with frame is 672 square inches
What is the area of the frame not covered by the painting
Area of the frame not covered by the painting = Area with farme - Area without frame
Area of the frame not covered by the painting = 672 - 480 = 192
Thus the area of the frame not covered by the painting is 192 square inches
55% of 20 pages is___pages.
Answer:
11 pages
Step-by-step explanation:
55% of 20 is 11. I'm sure! Please give be brainliest.!
Answer:
11
Step-by-step explanation:
It's just 55℅ of 20 pages so 20×55℅ will give u 11
- 2X +3Y=7
5x+8y=-2
Solution=(_,_)
Answer:
The solution is the point (-2,1)
Step-by-step explanation:
we have
[tex]-2x+3y=7[/tex] ----> equation A
[tex]5x+8y=-2[/tex] ----> equation B
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both lines
using a graphing tool
The solution is the point (-2,1)
see the attached figure
Match Each Equation to the situation it represents.
the first situation goes with the first equation
the second situation goes with the third equation
the third situation goes with the third equation
The equation for Statement 1 is 4+5x=16, the equation for Statement 2 is (5-4)x=16 and the equation for Statement 3 is 16-4x=5.
For the given statements we need to match the given equations.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Statement 1: An adults and 5 children rent skates. It costs $4 per adult for stakes and a total of $16.
Let the cost of 5 children rent skates be 5x.
Now, 4+5x=16
Statement 2: It costs Mikael $4 to make a bike bag, and he sells each for $5. He has made a profit of $16 so far.
Profit=Selling Price-Cost Price
⇒Profit=5-4
⇒(5-4)x=16
Statement 3: It was 16° C. It began falling 4° C per hour until it reached 5° C.
It began falling 4° C per hour, which can be written as 4x.
Now, 16-4x=5
Therefore, the equation for Statement 1 is 4+5x=16, the equation for Statement 2 is (5-4)x=16 and the equation for Statement 3 is 16-4x=5.
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Write a recursive rule for the sequence.
243, 81, 27, 9, 3, ..
Final answer:
A recursive rule for the sequence 243, 81, 27, 9, 3, ... is to multiply each term by one-third (⅓) of the previous term. The first term is 243, and the rule can be expressed as an = ⅓ × an-1 for n >= 2.
Explanation:
To write a recursive rule for the sequence 243, 81, 27, 9, 3, ... we must first identify the pattern. Observing the sequence, we see that each term is one-third of the previous term. Therefore, to get from one term to the next, we multiply by ⅓ (which is the same as dividing by 3).
The recursive formula for this sequence can be written as follows:
Let the first term a1 = 243. Then for each n >= 2, an = ⅓ × an-1, where an represents the nth term of the sequence.
This recursive rule clearly indicates that every term is a fraction of the preceding term, which is consistent with the pattern of division by three observed in the original sequence.
please help!
Simplify 5 + 2{x - 4[3x + 7(2 - x)]}.
A -34x - 107
B 34x - 107
C 34x + 107
Answer:
Should be B
Step-by-step explanation:
5 + 2 ( x-4[3x+7(2-x)]
5+2 (x-4[ 4x + 14])
5+2 (17x - 56)
5 + 34x - 112
34x - 107
use an identity to find the value of expression. sin 40° csc 40°
Answer:
Step-by-step explanation:
1. sin37xcsc37
For this use the recipricol identity. csc37 = 1/sin37
sin37x(1/sin37) = (sin37)/(sin37) = 1
2. sec^2(23) - tan^2(23)
For this one use the pythagorean identity
sec^2(23) = 1+tan^2(23)
1+tan^2(23) - tan^2(23) = 1
Describe when you use a solid line or a broken line when graphing inequalities. What does each type of line mean?
Answer:
Graphing Linear Inequalities differs from graphing regular linear equations. That is it has certain rules to be followed to draw the graph.
First, rearrange the equation as y in the left and other terms in the opposite side.Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted (broken) line.Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal is present then the space below the line has to be shaded.Thus if the equation has y < or y > then we use broken line and y= , y≤ and y≥ then we use solid line.
a college graduates by a factor of 1.045 every year since 1999. in 1999 924 student graduated approximately how many students will graduate in 2014
Answer:
1788
Step-by-step explanation:
The number of students who graduates from college is multiplied by a factor of 1.045 every year since 1999.
So, the number of students graduated every year can be modeled as
[tex]G(x) = 924(1.045)^{x}[/tex] where x is the number of the year since 1999.
Now, in 2014, the x value is (14 + 1) = 15 years.
So, the number of students who will graduate in 2014 is given by
[tex]G(15) = 924(1.045)^{15} = 1788.2[/tex] ≈ 1788. (Answer)
Hey I need help adding rational numbers
Answer:
wat number
Step-by-step explanation:
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Owen and his friend kayden are going to a carnival that has games and rides . Owen played 5 games and went on 6 rides and spent a total of 28.75 kayden played 4 games and went on 3 rides and spent a total of 16.25. Determine the cost of each game and the cost of each ride
Each game costs 1.25 and each ride costs 3.75
Step-by-step explanation:
Let,
Cost of each game = x
Cost of each ride = y
According to given statement;
5x+6y=28.75 Eqn 1
4x+3y=16.25 Eqn 2
Multiplying Eqn 2 by 2
[tex]2(4x+3y=16.25)\\8x+6y=32.50\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 1 from Eqn 3
[tex](8x+6y)-(5x+6y)=32.50-28.75\\8x+6y-5x-6y=3.75\\3x=3.75[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{3.75}{3}\\x=1.25[/tex]
Putting x=1.25 in Eqn 1
[tex]5(1.25)+6y=28.75\\6.25+6y=28.75\\6y=28.75-6.25\\6y=22.50[/tex]
Dividing both sides by 6
[tex]\frac{6y}{6}=\frac{22.50}{6}\\y=3.75[/tex]
Each game costs 1.25 and each ride costs 3.75
Keywords: linear equation, elimination method
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Final answer:
The cost of one game is 1.25 dollars and the cost of one ride is 3.75 dollars at the carnival. This was determined by setting up and solving a system of equations based on the expenses of Owen and Kayden.
Explanation:
To determine the cost of each game and each ride at the carnival, we can set up a system of equations based on Owen and Kayden's expenses. Let x represent the cost of one game and y represent the cost of one ride.
Owen played 5 games and went on 6 rides for a total cost of 28.75 dollars. This can be represented by the equation:
5x + 6y = 28.75
Kayden played 4 games and went on 3 rides for a total cost of 16.25 dollars. This can be represented by the equation:
4x + 3y = 16.25
We now have a system of linear equations:
5x + 6y = 28.75
4x + 3y = 16.25
To solve the system, we can multiply the second equation by 2 to align the y-terms:
5x + 6y = 28.75
8x + 6y = 32.50
Subtracting the first equation from the multiplied second equation, we get:
3x = 3.75
Dividing both sides by 3, we find that x = 1.25, which is the cost of one game.
To find the cost of one ride, we substitute x = 1.25 into either of the original equations. If we use the second equation 4(1.25) + 3y = 16.25, we get:
3y = 16.25 - 5
3y = 11.25
y = 3.75
Therefore, the cost of one ride is 3.75 dollars.
Mr. Walker, the contest sponsor, bought toy Wheels in a package of six dozen for $81. what was the unit cost of each wheel?
Answer:
1.125
Step-by-step explanation:
the unit cost is how much it cost per wheel
dozen is 12
so 12 times 6 is 72
so then you do 81/72 to get your answer
and you are probably wondering how i got the divison from was because i'm supposed to divide to find a unit cost.
the 81 was the total for the 72 packages of toy wheels
Answer:
first find how much a dozen of 6 is, so 6*12=72
next to get the cost of one divide 81/72=$1.125
$1.13
Step-by-step explanation:
Simplify (12x + 5) + (3x + 7)
Answer:
Your final answer is 15x+12
Step-by-step explanation:
Remove parathenes ( ) group like terms add similar elements add the numbers 5 + 7 = 12
area of irregular shapes
Answer:
To find area of irregular shapes you need to divide the irregular shape to get a new shape (for instance: rectangle); then you have to find the area of that particular shape using its formula (for instance: area of square = side*side)
7-4+6=7 Complete the equation to make it equal
Answer:
7-4+6=7 + 2
Step-by-step explanation:
The original equation 7-4+6=7 is incorrect because it simplifies to 9, not 7. There is no simple way to adjust the equation with the given numbers to make the equation balance correctly. It's crucial to check your work and make sure the equation balances, just like ensuring a chemical equation has equal numbers of atoms on both sides.
To complete the equation 7-4+6=7 to make it equal, we need to perform the operations on the left side of the equation and see if the result is indeed 7, the same as the right side. Let's solve it step by step:
First, subtract 4 from 7, which gives us 3.Next, add 6 to this result, which gives us 3 + 6 = 9.So, the left side of the equation is actually 7-4+6, which calculates to 9.Since 9 does not equal 7, there seems to be an error in the equation as presented.The original equation 7-4+6=7 is incorrect because 7-4+6 equals 9, not 7. To make the equation correct, we would need to change a number or an operation. One possible solution could be adding parentheses: (7-4)+6=7+2, which simplifies to 3+6=9, but again that does not equal 7. Therefore, there is no simple way to correct the equation using basic operations without changing the numbers given.
To make sure the charge and atoms on both sides of an equation balance or to ensure the correctness of a mathematical operation, eliminating terms where possible to simplify the algebra and checking the answer to see if it’s reasonable are important steps.
When balancing equations, whether they are chemical equations or mathematical ones, it's essential to make sure each side is equal to maintain the balance, as seen in the example: 7 carbon atoms, 16 hydrogen atoms, and 22 oxygen atoms on each side of a balanced chemical equation.
Which expression is equivalent to 5(2x + 10)?
A. 2x + 15
B. 2x + 50
C. 7x + 15
D. 10x + 10
E. 10x + 50
During the election for class president,40% of the students voted for Gerardo,35% of the students voted for Leonardo, and 25% of the students voted for juju.70 students voted for Leonard.how many more students voted for Gerardo than for juju
Answer:
80 students
Step-by-step explanation:
Let the number of voters in the election for class president is x.
So, given that 40% of the voters voted for Gerardo,35% of the voters voted for Leonardo, and 25% of the voters voted for Juju.
So, the number of voters for Leonardo was [tex]x \times \frac{35}{100} = 0.35x[/tex]
Given that, 0.35x = 70
⇒ x = 200
Now, the number of voters for Gerardo was [tex](x \times \frac{40}{100}) = 0.4x = 0.4(200) = 80[/tex].
(Answer)
What symbols can make 8 2 6 3 equal to 14
Answer:
The closest you would get is (8*2)-6+3=13
Step-by-step explanation:
LOTS OF POINTS please help
Answer:
C
Step-by-step explanation:
Let's call the middle M. If we take triangle PMQ we see that is has a 90 degrees angle. Also both of the other corners are equal so 180=90-2x. x=45 degrees. In a triangle with two 45 degrees angles and a 90 degrees angle the following applies: Both straigth sides are 1:square root of 2 to the oblique side. That means that if say PM=4 that PQ=4sqrt2. Now we'll that to determine PM. PQ=5x so PM=5xsqrt2. The area of parallelogram PQRS then equals to 5xsqrt2×5xsqrt2=25x^2×2=50x^2. So that is C.
5x + 2y = 29 and 8x - 8y = 80
Answer:
both of The answers are equal to Zero
Kayla takes 3 quizzes each week. How many weeks of school will Kayla have to attend his quarter before she will have taken a total of 9 quizzes
Answer:3 weeks
Step-by-step explanation:The reason for that is because if Kayla is taking 3 tests each week then 3 times 3 is 9 so three weeks.
Algebra 1 WILL BE MARKED BRAINLIEST :)
(04.05 MC) Which of the following is a solution to this inequality?
y>1/2 x + 2
(1, 4)
(−1, 1)
(2, 3)
(0, 2)
9 times a number of 390
Answer:
5667
Step-by-step explanation:
Answer:
3510
Step-by-step explanation:
because you have 390 and you multiply it my 9 so you would get 3510 by 9 times
At bright minds learning , 75% of employees work as instructors . If there are 300 employees at bright mind Learning , how many of them work as instructors
Answer:
Number of instructors are 225.
Step-by-step explanation:
Given:
Total number of employees at bright mind learning = 300
Number of instructors = 75%
We have to convert this percentage and find the number.
So,
[tex]75\%[/tex] can be written as [tex]\frac{75}{100}=0.75[/tex]
Now 75% of 300 employees are the instructors at Bright mind learning.
Can be written as [tex]0.75*300=225[/tex]
Number of instructors at Bright mind learning =225
On a coordinate plane, 2 triangles are shown. The first triangle has points M (negative 5, 4), N (negative 2, 3), and L (negative 4, 2). The second triangle has points L prime (negative 4, negative 2), M prime (negative 5, negative 4), and N prime (negative 2, negative 3). What is the rule for the reflection? rx-axis(x, y) → (–x, y) ry-axis(x, y) → (–x, y) rx-axis(x, y) → (x, –y) ry-axis(x, y) → (x, –y)
The reflection transformation of the triangles is C) [tex]( rx-axis(x, y) \rightarrow (x, -y) )[/tex].
The points of the original triangle are:
M (-5, 4) N (-2, 3) L (-4, 2)The points for the reflected triangle are:
L' (-4, -2) M' (-5, -4) N' (-2, -3)Identify the transformation
From the pairs of coordinates, we can observe how each point has changed from the original triangle to the reflected triangle:
M (−5, 4) was reflected to M' (−5, −4). N (−2, 3) was reflected to N' (−2, −3). L (−4, 2) was reflected to L' (−4, −2).Analyze the change in coordinates
We see that for each point, the x-coordinates remain unchanged while the y-coordinates change sign from positive to negative. This indicates that the reflection is across the x-axis.
Reflection rule
The general rule for reflection across the x-axis can be stated as follows:
If a point is given by (x, y), then the reflected point will be (x, -y).
Reflection across the x-axis :
[tex]( rx-axis(x, y) \rightarrow (x, -y) )[/tex]
Complete question
On a coordinate plane, 2 triangles are shown. The first triangle has points M (negative 5, 4), N (negative 2, 3), and L (negative 4, 2). The second triangle has points L prime (negative 4, negative 2), M prime (negative 5, negative 4), and N prime (negative 2, negative 3). What is the rule for the reflection?
a. rx-axis(x, y) → (–x, y)
b. ry-axis(x, y) → (–x, y)
c. rx-axis(x, y) → (x, –y)
d. ry-axis(x, y) → (x, –y)
Kendra’s work is shown in the table. Where, if anywhere, did Kendra first make a mistake? Steps Kendra’s Work Step 1 Negative 3 x + 7 y = negative 15. Negative 2 x minus 7 y = 5. Negative 5 x = negative 10. Step 2 Negative 5 x = negative 10. x = 2. Step 3 Negative 3 (2) + 7 y = negative 15. Negative 6 + 7 y = negative 15. 7 y = negative 9. y = Negative StartFraction 9 Over 7 EndFraction = negative 1 and StartFraction 2 Over 7 EndFraction
Answer:
Step 3 because when dividing 7y=-9, you divide by 7, not 9. Kendra divided the whole thing by 9, which is incorrect. You want to get the Y by itself(as in y, not a fraction of y) to solve the rest of the problem.
Step-by-step explanation:
Step 1.
-3x+7y=-15
-2x-7y=5
-5x=10 and x=2
Step 2.
-5x =-10. x = 2.
Step 3.
-3 (2) + 7 y = - 15. - 6 + 7 y = - 15. 7 y = - 9. y = -9/7 = - 1 2/7
Please help!!!!! Math is very confusing and this makes no sense
A running track has the shape of a rectangle capped with a semicircle on each end, as shown below. If the track is 80 feet wide, and the rectangular portion of the track is 90 feet tall, estimate the length around the outside of the track.
The missing figure is attached down
The length around the outside of the track is about 431 feet
Step-by-step explanation:
A running track has the shape of a rectangle capped with a semicircle on each end
The track is 80 feet wideThe rectangular portion of the track is 90 feet tallWe need to estimate the length around the outside of the track
The length of the outside the track is the length of two semi-circle and two straight lengths of the rectangle
∵ The track is 80 feet wide
- From the figure the width of the track is the diameter of the
semi-circles
∴ The diameter of each semi-circle = 80 feet
∵ The radius of a circle is half its diameter
∴ The radius of each semi-circle = [tex]\frac{1}{2}[/tex] × 80 = 40 feet
∵ The length of a circle = 2πr
∴ The length of a semi-circle = πr
∴ The length of two semi-circle = 2 × πr
- Substitute r by 40
∴ The length of two semi-circle = 2 × π(40) = 80π feet
∵ The rectangular portion of the track is 90 feet tall
∴ The length of the rectangle = 90 feet
∴ The two straight parts of the track = 2 × 90 = 180 feet
- Add the length of the two semi-circles and the two straight
parts to find the length of the track
∵ Length of the track = 80π + 180
- Substitute π by 3.141
∴ Length of the track = 80(3.141) + 180
∴ Length of the track = 431.28 ≅ 431 feet
The length around the outside of the track is about 431 feet
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Which term names FDR‘s plan for ending the Great Depression
Answer:
New Deal
Explanation:
In order to bring an end to the Great Depression, Franklin Delano Roosevelt (the 32nd President of the United States) proposed the "New Deal."
The "New Deal" was a set of programs which allowed the government to have a direct role in making the American lives easier. This mainly supported the poor people, especially the farmers and those who lost their jobs or who were unemployed.
The programs started with the First New Deal, followed by the Second New Deal. The First New Deal focused on reformation while the second one was directed towards protecting the people.
Thus, this explains the answer.
2m+4s=16
What are the values for M and S?
For this case we have the following equation:
[tex]2m + 4s = 16[/tex]
We solve for each of the variables:
For m:
We subtract 4s from both sides of the equation:
[tex]2m = 16-4s[/tex]
We divide by 2 on both sides of the equation:
[tex]m = \frac {16-4s} {2}\\m = \frac {16} {2} - \frac {4s} {2}\\m = 8-2s[/tex]
For s:
We subtract 2m from both sides of the equation:
[tex]4s = 16-2m[/tex]
We divide between 4 on both sides of the equation:
[tex]s = \frac {16} {4} - \frac {2m} {4}\\s = 4- \frac {m} {2}[/tex]
Answer:
[tex]m = 8-2s\\s = 4- \frac {m} {2}[/tex]
Without additional information or a second equation, the values for 'm' and 's' cannot be specifically determined from the equation 2m+4s=16 due to the infinite number of solutions.
Explanation:The question 2m+4s=16 asks us to find the values of m and s. However, with a single equation and two variables, there are infinite solutions. This is because without additional information or constraints, each variable can take on many different values as long as the equation balances out to 16. Therefore, we cannot determine specific values for m and s without additional equations or information.
To find the values of M and S in the equation 2M + 4S = 16, we can use algebraic methods to solve for the variables.
Step 1: Start by isolating M in the equation. Subtract 4S from both sides of the equation: 2M = 16 - 4S.
Step 2: Divide both sides by 2 to solve for M: M = (16 - 4S)/2.
Now you have an equation that expresses M in terms of S. You can substitute different values for S to find the corresponding values for M. For example, if S = 2, then M = (16 - 4(2))/2 = 4. So, when S = 2, M = 4. Repeat this process for different values of S to find the corresponding values of M.
What is 25% of 200?
I need help pleaseeeeeeeeeeeeeee!
Answer: 50
Step-by-step explanation: 25% of 100 is equal to 25, so if we multiply that by 2, we would get 50. To fact-check your answer, always make sure that when you multiply (only for 25% problems) by 4, and you should get the whole number. 50x4=200. Or, just 200 divided by 4. It helps!