The perimeter of a flower garden with three sides is 46 feet. One side of the garden is 11 feet long. Another side of the garden is 13 feet long. What is the length of the third side? Enter your answer in the box. feet

Answer:

The three numbers are 19, 18, and 31.

Step-by-step explanation:

The three numbers are x, y, and z.

y=x-1

z=2y-5

z=x+12

2y-5=x+12

2(x-1)-5=x+12

2x-2-5=x+12

x=19

y=18

z=31

The three numbers are 19, 18 and 31

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

let the three numbers be x, y, and z.

So, according to question

The second of three numbers is one less than the first,

y = x-1

The third number is 5 less than twice the second,

z=2y-5

also, If the third number exceeds the first number by

12z=x+12

Now, equating the equations

2y-5=x+12

2(x-1)-5=x+12

2x-2-5=x+12

x=19

So, y=18 and z=31.

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Answer:

B

Step-by-step explanation:

if it is a vertical line, x=1 for all values of y

Answer:it’s B i just took this

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

The term which describes the point T in triangle QRS is option A. Circumcenter.

Here, given is a triangle QRS.

It is clear that three lines are drawn and all the three lines intersect at the point T.

Each of the line is perpendicular to each of the sides of the triangle.

And each of the line bisects each of the sides, that is sides are being divided in to half.

So T is the intersecting point of all the perpendicular bisectors of the sides, which is the definition of circumcenter.

Thus, T is the circumcenter of the triangle QRS.

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Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Find slope using the slope formula:  [tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in the given points : [tex]\frac{7-5}{4-1}[/tex]

Calculate by subtracting the numbers : [tex]\frac{2}{3}[/tex]

Solution : [tex]\frac{2}{3}[/tex]

Answer:

9 inches

Step-by-step explanation:

We see all sides are the same length:

4x+3=3(2x-5)

4x+3=6x-15

18=2x

x=9

Therefore 9 inches.

Answer:

175ft an hour

Step-by-step explanation: lets say t=hours

so 2t=400ft and 6t=700ft

the difference between hours is 4 because 6-4=2

so we would multiply 4 by ?

to get the missing # you would have to multiple 4 by numbers between 170 and 190 because anything under 170 is no where near 175 and anything above 190 is way off 175. Answer is 175ft per hour

Answer:

total distance =700+400ft

time =2+8 =10hour

rate =distance/time=1100/10=110 ft/hour

since he stops two times

rate of change =110/2=75ft/hour

Given:

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩.

The point is (-3,-2).

To find:

The image of given point after the transformation.

Solution:

Consider the given point be P(-3,-2).

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩. If means first we have apply translation T⟨–5, 3⟩ after that we have to apply reflection R x-axis.

If a figure translated by T⟨–5, 3⟩, then

[tex](x,y)\to (x-5,y+3)[/tex]

[tex]P(-3,-2)\to P'(-3-5,-2+3)[/tex]

[tex]P(-3,-2)\to P'(-8,1)[/tex]

If a figure reflected by R x-axis, then

[tex](x,y)\to (x,-y)[/tex]

[tex]P'(-8,1)\to P''(-8,-1)[/tex]

Therefore, the image of given point after transformation is (-8,-1).

Answer:-5 is the x-intercept, -4 is the y

Step-by-step explanation:y intercept is when x=0, and the other way around

Answer:

a) nothing and 30 dollars.

Step-by-step explanation:

Opportunity cost usually arises when faced with choices or alternatives such that one has to be chosen, while the other is forgone. The benefits forgone by choosing a certain option of the available choices is called opportunity cost.

Given that :

Option A requires $20 payment

Option B requires $50 payment

Opportunity cost of choosing A = nothing (since payment required for the other alternative is higher than the chosen option)

Opportunity cost of Choosing B = ($50 - $20) = $30 (By choosing option B over option A, $30 was forgone as the other option (option A requires $30 lesser payment)

Let's solve your equation step-by-step.

2x+9=8x+21

Step 1: Subtract 8x from both sides.

2x+9−8x=8x+21−8x

−6x+9=21

Step 2: Subtract 9 from both sides.

−6x+9−9=21−9

−6x=12

Step 3: Divide both sides by -6.

-6x/-6=12/-6

x=-2

Answer:

-2 = x

Step-by-step explanation:

First, combine like-terms. I subtracted 21 from both sides and subtracted 2x from both sides. This gave us 12 = -6x. Then, divide to solve for x. This gives us -2 = x.

Hope this helps! Let me know!

Answer:

1. D

2. D

Step-by-step explanation:

Answer:

i thinks it's D im not so sure but i think it's D

Answer:

Work shown below!

Step-by-step explanation:

[tex]x^{4}-5x^{2} +4[/tex] = [tex]0[/tex]

[tex]A[/tex] = [tex]x^{2}[/tex]

[tex]A^{2} -5A+4[/tex] = [tex]0[/tex]

[tex](A-1)(A-4)[/tex] = [tex]0[/tex]

[tex](x^{2}-1)(x^{2} -4) =0\\(x-1)(x+1)(x-2)(x+2)=0[/tex]

x - 1 = 0

Add 1 to both sides;

x = 1

x + 1 = 0

Subtract 1 from both sides;

x = -1

x - 2 = 0

Add 2 to both sides;

x = 2

x + 2 = 0

Subtract 2 from both sides;

x = -2

Answer:

no

Step-by-step explanation:

there are 2 1's in that function

Answer:

[tex](x-y)(x^2+xy++y^2)[/tex]

Step-by-step explanation:

[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]

Answer:

It would be D

Step-by-step explanation:

Got it right on Edge 2021

Answer:5 and 1/16

Step-by-step explanation:

Answer:

11 - (-3 5/8)

= 11 + 3 5/8 ( 2 negative signs become positive)

answer is B.11 + 3 5/8

Step-by-step explanation:

Answer:

The answer is 11 + 3 5/8

Step-by-step explanation:

I did it on khan

Answer:

Rob will have to spend 5 hours writing this week in order to have written a total of 16 pages.

Step-by-step explanation:

From the information given, you can use the formula p=h+11 and solve for h. Then, you have to replace p with 16 to get the amount of hours that Rob will have to spend writing this week in order to have written a total of 16 pages:

p=h+11

h=p-11

h=16-11

h=5

According to this, the answer is that Rob will have to spend 5 hours writing this week in order to have written a total of 16 pages.

Step-by-step explanation:

The marked price of an article is 25% above the SP and the CP is 20% below the selling price. What is the rate of discount and the profit percentage?

Let C, M & S denote cost-price, marked-price & sell-price respectively of the article.

Hence from above data we get following relations,

M = (1 + 25/100)*S = 1.25*S ….. (1a)

C = (1 - 20/100)*S = 0.80*S ….. (1b)

From (1a) we get,

S = (100/125)*M = (4/5)*M

or S = (1 - 1/5)*M = (1 - 20/100)*M ….. (2a)

From (1b) we get,

S = (100/80)*C = (5/4)*M

or S = (1 + 1/4)*C = (1 + 25/100)*C ….. (2b)

Therefore

It is evident from (2a) that

the discount percentage = 20% [Ans]

It is evident from (2b) that

the profit percentage = 25% [Ans]

The correct answer is: A. 150 more students tickets sold than adult tickets.

An increase of 100% in a quantity means that the final amount is 200% of the initial amount (100% of initial + 100% of increase = 200% of initial). In other words, the quantity has doubled. An increase of 800% means the final amount is 9 times the original (100% + 800% = 900% = 9 times as large).

Answer:

n = 6

Step-by-step explanation:

2n - 32 = 10n - 80

2n - 10n = -80 + 32

-8n = -48

-48/-8 = 6

Answer:

1.)✔ 12 1/2

2.) ✔ 1/2

3.) ✔ 6 ¼

Step-by-step explanation:

Answer:

26/24

Step-by-step explanation:

you multiply 1 by 8 and 6 by three as well as 3 by 8 and 8 by three to get 8/24 and 18/24 . now that you have a common denominator, you can add the two together to get 26/24

Answer:

5:6 is bigger than 2:3

4:7 is bigger than 3:8

7:12 is bigger than 4:9

Step-by-step explanation:

4:6 and 5:6

32:56 and 21:56

21:36 and 16:36      

Answer:

4%

Step-by-step explanation:

12/300

hope this helps

Answer:

3.104 (option c)

Step-by-step explanation:

3 + 0.1 + 0.004 = 3.104

Answer:

Step-by-step explanation:

First, solve for each function separately:

F(5)=52+4(5)F(5)=25+20⇒F(5)=45

G(6)=2(6)+2G(6)=12+2⇒G(6)=1

Now, let's add our solutions together:

F(5)+G(6)=45+14=59