Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?

Answers

Answer 1

The length of the square in centimetres in algebraic expression is 25m

How to find the side length of a square?

The perimeter of a square is m meters.

The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:

Therefore,

perimeter of a square = 4l

where

l = side length

Therefore,

m = 4l

where

m = perimeter of the square

l = m / 4 meters.

Therefore, the side length of the square in centimetres is as follows:

1 meters = 100 cm

m / 4 meters  = ?

cross multiply

length of the square in meters = m / 4 × 100

length of the square in meters = 100m / 4

length of the square in meters = 25m

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Related Questions

a line skew to AT (in image attatched)

Answers

The line skewed to AT is HB

How to determine the line skewed to AT?

As a general rule, skew lines are nonparallel lines that do not intersect

This means that the lines are in different planes

From the given figure, we can see that lines HB and AT do not intersect and they are not parallel

Hence, the line skewed to AT is HB

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Given:

p: x-5= 10
q: 4x+1 = 60

Which is the inverse of p→q?

If x-5 ≠ 10, then 4x+1≠61.

If 4x+1 ≠61, then x-5≠10.

If x-5=10, then 4x+1=61.

If 4x+1=61, then x-5=10

Answers

Answer:

Step-by-step explanation:

put these numbers in order least to greatest 56,209 5,609 55,209 562,009

Answers

Answer:

5,609

55,209

56,209

562,009

what is the answer to 17^2-286

Answers

The answer is -237. 17^2 equals 49 because you multiply 7x7. subtract 286 and this is your answer.

The answer for the given expression, 17²-286 will be 3.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,the expression is,

17²-286

The expression is solved by the arrthmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

=17²-286

=289-286

=3

Thus, the answer for the given expression, 17²-286 will be 3.

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How much should Roman invest today in order to withdraw $22450.15 in exactly 3.7 years from now if interest rate is 5.65 % compounded monthly?

Answers

Roman should invest $18,223.97 in order to withdraw $22450.15 in exactly 3.7 years from now if interest rate is 5.65 % compounded monthly.

First, convert R as a percent to r as a decimal

r = R/100

r = 5.65/100

r = 0.0565 per year,

Then, solve the equation for P

P = A / (1 + r/n)^(nt)

P = 22,450.15 / (1 + 0.0565/12)^{(12)(3.7)}

P = 22,450.15 / (1 + 0.0047)(44.4)

P = $18,223.97

The principal investment required to get a total amount of $22,450.15 from compound interest at a rate of 5.65% per year compounded 12 times per year over 3.7 years is $18,223.97.

Therefore, Roman should invest $18,223.97 in order to withdraw $22450.15 in exactly 3.7 years from now if interest rate is 5.65 % compounded monthly.

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Which lists all the factors of 78?

Answers

Answer:

1, 2, 3, 6, 13, 26, 39, and 78

Step-by-step explanation:

:)

Determine the value of cscθ given that the terminal side of angle θ intersects the unit circle in the first quadrant at (7/17,y).

Answers

The value of cscθ is 1/y

In this question, we have been given that the terminal side of angle θ intersects the unit circle in the first quadrant at (7/17, y).

We know that the point on the unit circle is of the form (cosθ, sinθ)

Comparing (cosθ, sinθ) with point (7/17, y) we get,

cosθ = 7/17, and sinθ = y

also, we know that cscθ = 1/sinθ

So, cscθ = 1/y

Therefore, the value of cscθ is 1/y

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A sum of money is shared in the ratio 3:4:7.
The smallest share is £210.
What is the total amount of money shared?

Answers

Answer:

£980

Step-by-step explanation:

3 portions = 210

1 portion = 70

so 70

70 × 4 = would be 280

70 × 7 = 490

490 + 280 + 210 = 980

hope this works : )

Select the correct answer. What is the solution for x in the equation? -x + 3/7=2x-25/7 ​

Answers

Answer:

x + 3/7=2x-25/7 ​

X=4

show that the roots of the quadratic equation given by(x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0
are rea land they can not be equal unless a=b=c.

Answers

Expanding out the equation, we get

[tex]x^2 - ax - bx+ab+x^2 -bx-cx+bc+x^2 -ax-cx+ac=0 \\ \\ 3x^2 -x(2a+2b+2c)+(ab+bc+ac)=0[/tex]

Considering the discriminant,

[tex](2a+2b+2c)^2 - 4(3)(ab+bc+ac) \\ \\ =4a^2 + 4b^2 + 4c^2 + 8(ab+bc+ac)-12(ab+bc+ac) \\ \\ =4(a^2 + b^2 + c^2 - ab - bc - ac) \\ \\ =2((a-b)^2 + (b-c)^2 + (c-a)^2)[/tex]

This is always non-negative, meaning the roots are real.

The roots are equal if and only if the discriminant is 0, which is when a=b=c.

The coordinate point (-5, 18) is a point on the graph of f. Write this point in function notation.


f(-5) = 13


f(-5) = 18


f(18) = -3.6


f(18) = -5

Answers

The function notation of the coordinate point where the coordinate point is given as (-5, 18) is f(-5) = 18

What are coordinate points?

Coordinate points are mathematical statements that are used to represent the location of points on a coordinate plane

How to rewrite the function notation of the coordinate point?

The coordinate point is given as

(-5, 18)

The above coordinate point can be represented as

(x, y) = (-5, 18)

The above coordinate point can further be rewritten as

(x, f(x)) = (-5, 18)

So, we have

x = -5

f(x) = 18

Substitute x = -5 in the equation f(x) = 18

f(-5) = 18

Hence, the function notation of the coordinate point where the coordinate point is given as (-5, 18) is f(-5) = 18

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The company made a partial payment of $600 cash on the equipment purchased in transaction d.

Answers

Answer: can u finish the question

Step-by-step explanation:

Will y=3x+5 pass throught the (0,5) or will it not pass the (0,5) ?

Answers

(0,5) is that equations y intercept so it WILL pad through that point.

[tex]Answer:\ y=3x+5\ pass\ throught\ the\ (0,5)[/tex]

Step-by-step explanation:

[tex]y=3x+5\ \ \ \ \ (0,5)\\5=3*0+5\\5=0+5\\5\equiv5\\Hence,\\y=3x+5\ pass\ throught\ the\ (0,5)[/tex]

Directions: For the following problems....
(a) determine the correct conclusion or further conclusion based on the given information and diagram. Your
conclusions should only be based on the given information, not what you believe the diagram may imply.
(b) fill in the appropriate statement/reason chart to organize your work. REMINDER: A reason can only be a
definition or definition reversed.
1. Given: LFHEZKHE
HINT: Your conclusion should NOT be the m2FHE =
m2KHE! There is a better conclusion to draw here...
Conclusion: FHE = KHE

Answers

ΔFHE = ΔKHE, as the ∠FHE = ∠KHE. When two triangles contain the same two sides and include the same Angle, the remaining sides, Angle, and area are likewise identical, which means they're congruent.

∠FHE ≅ ∠KHE is an Identical part.

L(FE) = L(KE), as two Congruent angles have equal sides

L( FH) = L(KH)

L(EH)=L(EH),  Common part in a figure.

Congruent angles are two or more angles that are exactly the same. As a result, the lengths of these angles are identical.

hence, ΔFHE = ΔKHE, as the ∠FHE = ∠KHE. When two triangles contain the same two sides and include the same Angle, the remaining sides, Angle, and area are likewise identical, which means they're congruent.

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Write an inequality that represents the graph. An inequality that represents the graph is -1 on a number line
a .

Answers

The inequality of the number line is x > -1

What is a number line?

A number line is a  vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval

From the number line in the question, we can see that:

How to determine the inequality?

From the question, we have

Point = -1

Assume the following

The endpoint of the circle on the number line is an open circleThe arrow points to the right

As a general rule, open circles implies that the number at that endpoint is not included part of the solution set.

This means that the inequality of the number line is x > -1

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Maya is using a coordinate plane to create a map of her yard drawn to scale. Each unit
on the coordinate plane represents 1 meter. Her yard forms a quadrilateral with vertices
A(5, -3), B(10, -3), C(12, -11), and D(7, -11). Maya would like to fence in her entire
yard. Fencing costs $200 per meter. How much will it cost Maya to fence in her yard?

Answers

Answer:

$5,298.48

Step-by-step explanation:

Given vertices:

A = (5, -3)B = (10, -3)C = (12, -11)D = (7, -11)

As points A and B, and points C and D, have the same y-coordinates, AB is parallel to CD.

As there is a difference of 5 units between points A and B, and C and D, AB = CD.

As AB is parallel to CD and AB = CD ⇒ AD = BD and AD is parallel to BD.

Therefore, the quadrilateral ABCD is a parallelogram (see attachment).

To find the perimeter of ABCD, calculate the side lengths of AB and AD using the Distance Formula.

[tex]\boxed{\begin{minipage}{4.7 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two endpoints.\end{minipage}}[/tex]

[tex]\begin{aligned}AB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(10-5)^2+(-3-(-3))^2}\\& =\sqrt{(5)^2+(0)^2}\\& =\sqrt{25}\\& =5\:\:\sf units\end{aligned}[/tex]

[tex]\begin{aligned}AD & =\sqrt{(x_D-x_A)^2+(y_D-y_A)^2}\\& =\sqrt{(7-5)^2+(-11-(-3))^2}\\& =\sqrt{(2)^2+(-8)^2}\\& =\sqrt{4+64}\\& =\sqrt{68}\:\:\sf units\end{aligned}[/tex]

The perimeter of a two-dimensional shape is the distance all the way around the outside.

[tex]\begin{aligned}\textsf{Perimeter of $ABCD$} & = AB + CD + AD + BC\\& = 2\:AB + 2\:AD\\& = 2 \cdot 5+2 \cdot \sqrt{68}\\& = 10+2 \sqrt{68}\\& = 10+2\sqrt{4 \cdot 17}\\& = 10+2\sqrt{4}\sqrt{17}\\& = 10+2 \cdot2\sqrt{17}\\& = 10+4\sqrt{17}\:\:\sf units\end{aligned}[/tex]

As 1 unit = 1 meter, the perimeter of the fence is (10 + 4√17) m.

If fencing costs $200 per meter:

[tex]\begin{aligned}\sf \implies Cost \:of\:fencing& = 200(10 + 4 \sqrt{17})\\& = 2000+800 \sqrt{17}\\& = 5298.4845\\ & = \$5298.48\end{aligned}[/tex]

Therefore, it will cost Maya $5,298.48 to fence her yard.

adam has $800 invested in two accounts. one pays 6% annual interest and the other pays 10% interest. the amount of annual interest is the same as he would earn if the entire $800 was invested at 8.25%. How much does he have invested at each rate?

Answers

Adam invested $350 at 6% and $450 at 10%

Amount invested by Adam = $800

Interest paid by one account = 6%

Interest paid by another account = 10%

Let the amount invested in one account be x and the other be y

The formula for simple interest is given by:

Simple interest = (P*R*T)/100

where P = Principal

R = rate of interest

T = number of years amount is invested

Substituting the value in the formula we get:

Simple interest in one account = (x*6*1)/100-------(1)

Simple interest in another account = (y*10*1)/100--------(2)

The question states that interest earned would be the same when $800 is invested at 8.25%, therefore

Simple interest = (800*8.25*1)/100

= 66----(3)

Equating (1), (2) and (3) we get:

x + y = 800-----(4)

6x/100 + 10y/100 = 66

6x + 10y = 6600-----(5)

Multiplying (4) with 6 and equating it with (5)

6x + 6y = 4800

6x + 10y = 6600

4y= 1800

y = 450

x = 350

So, Adam invested $350 at 6% and $450 at 10%

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The point G(-5, -1) is reflected over the line y= -3. What are the coordinates of the resulting point, G’

Answers

The coordinates of the resulting point after the reflection are (-5, -5)

What are the coordinates of the resulting point?

When we do a reflection over a given line, the perpendicular distancee between the line and the point is invariant.

In this case, we want to reflect the point (-5, -1) over the line y = -3

The distance between the y-value of the point and the line is:

D = |-1 - (-3)| = | -1 + 3| = 2

The point is at 2 units (above) from the line, then after the reflection, the point will be 2 units below the line.

So the new y-value is:

y = -3 - D = -3 - 2 = -5

The coordinates of the resulting point are (-5, -5).

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Choose the measurement closest to 180 ​cm: 6 ​ft, 180 in. or 450 in

Answers

Answer:

6ft

Step-by-step explanation:

180cm=5ft10in=70in

So it's closer to 6ft

Solving quadratics factoring G CF, solving equations by factoring

Answers

Answer: k=0,-5

Step-by-step explanation:

Your GCF is 5k, as you're able to take it out of both terms.

Once you've taken out a 5k, this will leave you with an equation that looks like this;5k(k+5)=0.

Set your 5k equal to 0 and divide to get k=0

Set your k+5 equal to 0 and subtract on both sides to get k=-5

Hope this helps you, dawg.

Best answer is ready to give gift prize?

Answers

Step-by-step explanation:

but please where is the question I'm eager to answer and win the pizza

Can someone explain this pls

Answers

Answer:

Step-by-step explanation:

( g ° f )(x) = ( x + 7 )² = x² + 14x + 49

20 + 3(x² + 14x + 49) = - 34

20 + 3x² + 42x + 147 = - 34

3x² + 42x + 201 = 0 ⇔ x² + 14x + 67 = 0

D = 196 - 268 = - 72 < 0

There is no any roots in set of real numbers.

The values of x in set of complex numbers are:

[tex]x_{12}[/tex] = [tex]\frac{- 14 }{2}[/tex] ± [tex]\frac{6\sqrt{2}i }{2}[/tex]

[tex]x_{12}[/tex]  = - 7 ± 3√2 i  

I got one final question... What is -1/3x + 1 = -7

Answer Formula: x =

Answers

Answer: x=24

Step-by-step explanation:

-1/3x+1= -7

you move the negative one to the other side of the equation to get x by itself and get -1/3x= -8

then you divide both sides by -1/3 and get 24

x = 24 is the answer to this!

A train is going on a journey. First it travels east for 50 kilometers. Then it turns north and travels for 22 kilometers. Next it goes west for 50 kilometers. Finally, it travels south for a certain number of kilometers. At the end of its journey it is back at its original location. How many kilometers did it travel in the southward direction?

Answers

It travels south for 22km.

Answer:

Answer would be 22 km at southward direction.

Answer = 22km

Step-by-step explanation:

As it started from the point O.

* Goes 50 to East direction

* Goes 22 to North direction

* Goes 50 to West direction

* And the it travels back to the starting point when it turn to south direction. It traveled 22 km to southward direction.

> Total kilometers the train traveled is 144 kilometers.

I hope you get this right.

Put the following equation of a line into slope-intercept form, simplifying all fractions. 9x+6y=42

Answers

Answer:

4

Step-by-step explanation:

9x+6y=42

solution

Balancing Method :

subtract both sides by 6

9x-6y+6y=42-6=

9x=42-6=36

divide both by 6

9 ÷9=36÷9=4

Ileana wants to know the mean number of pets owned by students in her
grade. She conducts a survey of 20 of her classmates to see how many pets
they own. The results are shown in the dot plot.
Number of Pets In the Home
::::::
0
1 2 3 4 5 6
●●
7
H
8 9 10
Which is the best estimate of the mean number of pets owned by students in
her grade?

Answers

Based on the results shown in the dot plot on the number of pets owned by students in Ileana's grade, the mean number of pets owned by students is 2.5 pets

What is the mean number?

The number of pets owned per student home according to the dot plot is:

= 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 8

The total number of pets owned is:

= 0 + 0 + 0 +1 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 +8

= 50 pets

The mean number of pets owned is:

= 50 / 20 students

= 2.5 pets

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What are two different names for the plane shown
in the diagram below?

Answers

Answer:

Plane Y and CDB

Step-by-step explanation:

Plane Y and CDB

What is the sum of 2 3/4 and −2 3/4 ?
A. 0
B. 3/4
C. 5 1/2
D. I don't know.

Answers

Answer:

A. 0

Step-by-step explanation:

[tex]2 \frac{3}{4} + ( - 2 \frac{3}{4}) \\ = \frac{11}{4} - \frac{11}{4} \\ = \frac{11 - 11}{4} \\ = \frac{0}{4} = 0 \\ hope \: this \: would \: help[/tex]

Answer:

A. 0

Explanation:

Given:

[tex]2\dfrac{3}{4} +(-2\dfrac{3}{4} )[/tex]

In improper fractions:

[tex]\dfrac{11}{4} +(\dfrac{-11}{4} )[/tex]

Simplify:

[tex]\dfrac{11}{4} -\dfrac{11}{4}[/tex]

Evaluate:

[tex]0[/tex]

Tip:

As the integers are alike, when subtracted they simplify to zero as a result.

HELP PLEASE!!!!!!! A zookeeper wrote down the number of fish each of the ten dolphins in the aquarium ate per day. His results were as follows: 18, 15, 25, 17, 13, 15, 23, 27, 30, and 27. Find the mean absolute deviation of this data set. What does the mean absolute deviation tell you about the dolphins at the aquarium?

Answers

The mean absolute deviation is 5.4.

The mean absolute deviation tells us that the variance of each data set is 5.4.

What is the mean absolute deviation?

The mean absolute deviation is a measure of variance that determines the average distance between each data point in the dataset and its mean.

The mean absolute deviation = 1/n ∑ l x - m(x) l

The first step is to determine the mean of the data set: (18 + 15 + 25 + 17 + 13 + 15 +  23 + 27 + 30 +  27) / 10

= 210 / 10

= 21

The second step is to determine the absolute difference between the mean and each data point. Then add the result together.

|(18 - 21) + (15 - 21)+ (25- 21) + (17- 21) + (13- 21) + (15- 21) +  (23- 21) + (27- 21) + (30- 21) +  (27- 21)| = 54

Now, divide the sum by the total numbers in the data set : 54 / 10 = 5.4

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write the equation y=-6+5 in function notation using f (x) to denote the function

Answers

The equation y = -6x + 5 when rewritten is f(x) = -6x + 5

How to denote the equation as a function?

The equation is given as

y = -6 + 5

Rewrite the above equation properly

So, we have

y = -6x + 5

Express y as a function

So, we have

f (x) = -6x + 5

Hence, the equation y = -6x + 5 when rewritten is f(x) = -6x + 5

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