A square garden and a hexagon garden have the same perimeter. The perimeter of the square garden is 4(x+7). The perimeter of the hexagon garden is 6(3x). What is the perimeter of each figure?

Answers

Answer 1

Answer:

36

Step-by-step explanation:

4(x+7) = 6(3x)

2(x+7) = 3(3x)

2x+14 = 9x

14 = 7x

x = 2

Plugging it back into the equation:

Hexagon = 6(3*2) = 6*6 = 36

Square = 4(2+7) = 4*9 = 36

Therefore, the perimeter of each figure is 36.


Related Questions

Frog and Toad decided to meet. Their houses are 120 ft apart. They start hopping towards each other at a speed of 2 ft/min and 3 ft/min, respectively. How long it will take until they are going to be 5 feet apart?

Answers

Answer:

23

Step-by-step explanation:

Which of the four is it? ​

Answers

Answer:

option 1 i believe

Step-by-step explanation:

just worked it out

i hope this is right and helps <3

Need help with this question plz help me

Answers

7/15-
There are 15 tiles in total. Three of them are yellow and four of them are green.

You add 3+4, and get 7. You put 7 over the total amount of tiles in the bag, which leads to 7/15.

Answer:

7/15

Step-by-step

The total amount of tiles is 15, then the total number of green and yellow tiles is 4 +3 = 7. Which means that the probability that you will get green or yellow tiles is the toltal amount of tiles of green and yellow tiles combined which is 7, compared to the total number of all tiles which is 15

7/15

A dance studio has fixed monthly costs of $1500 that include rent, utilities, insurance, and advertising. The studio charges $60 for each private lesson but has a variable cost for each lesson of $35 to pay the instructor.

Answers

Answer:

a)C(x)=1500+35x

b)R(x)=60 x

c)P(x)=25x-1500

d)The number of lessons that must be held for the studio to break even ia 60

e)The studio will make 550 if 82 lessons are held

Step-by-step explanation:

Monthly cost that include rent, utilities, insurance, and advertising = $1500

The studio charges $60 for each private lesson but has a variable cost for each lesson of $35 to pay the instructor.

a)Write a linear cost function representing the cost to the studio C(x) to hold x private lessons  for a given month

Fixed monthly cost = $1500

Variable cost of trainer for each lesson = $35

Variable cost of trainer for x lessons = 35x

So, C(x)=1500+35x

b)Write a linear revenue function representing the cost to the revenue R(x) to hold x private lessons  for a given month

Charge for 1 lesson = 60

Charge for x lessons = 60 x

So, R(x)=60 x

c)Write a linear profit function representing the cost to the profit P(x) to hold x private lessons  for a given month

Profit = Revenue - Cost

P(x)=R(x)-C(x)

P(x)=60x-1500-35x

P(x)=25x-1500

d)Determine the number of lessons that must be held for the studio to break even

R(x)=C(x)

60x=1500+35x

25x=1500

x=60

So, the number of lessons that must be held for the studio to break even ia 60

e) If 82 lessons are held during a month how much money will the studio make or lose

P(x)=25x-1500

P(82)=25(82)-1500

P(82)=550

So, The studio will make 550 if 82 lessons are held

1)Profit function P(p)=25p-1500

2) For the break-even number of lessons to be held is 60 lessons.

3)Profit, when 82 sessions are held is $550.

The fixed monthly cost of the dance studio= $1500

The variable cost of the trainer for each lesson = $35

So, Variable cost of trainer for 'p' lessons = 35a

So, Total cost =1500+35p

Charge for 1 private lesson = 60

Charge for 'p' lessons = 60p

So, Revenue =60p

We know that, Profit = Revenue - Cost

So, Profit =60p-(1500+35p)

Profit=25p-1500

What is the break-even point?

The break-even point is the point at which total cost and total revenue are equal.

For break-even

Cost = Revenue

1500+35p = 60p

p =60

So, for the break-even number of lessons to be held = 60 lessons

Profit when 82 sessions are held

Profit = 25p-1500

Profit = 25*82-1500

Profit = $550

Therefore, 1)Profit function P(p)=25p-1500

2) For the break-even number of lessons to be held is 60 lessons.

3)Profit, when 82 sessions are held is $550.

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what is 4/3 divided by 5/3

Answers

Answer:

4/5

Step-by-step explanation:

4/3 ÷ 5/3

Copy dot flip

4/3 * 3/5

Rewriting

4/5 * 3/3

4/5

Answer:

Step-by-step explanation:

The answer is 0.8

Give the Quadratic function x^2+4x-2 if x is -3

Answers

Answer:

-23

Step-by-step explanation:

You're welcome :)

-3^2 + 4(-3) - 2
9 + (-12) - 2
9 - 12 - 2
-5

I was 6 my sister was half my age. I am 30 how old is she

Answers

Answer:

I think its 27.

Step-by-step explanation:

If they were 6 and her sister was half her age her sister would be 3. That means her sister is 3 years younger than they are. So if they are 30 all you do is 30 - 3 and you get your answer 27.

Hope this helps!

Which pair of ratios is equivalent?
O A. 4:6 and 12:18
O B. 2:3 and 4:8
O C. 3:5 and 6:15
O D. 7:10 and 8:12

Answers

Answer:

A

Step-by-step explanation:

Both ratios simplify down to 2:3

Answer: 4:6 and 12:18

Step-by-step explanation:

Just took the test

is -z+10.54 a linear expression???

Answers

yes it is a linear expression

Pls help 10th grade math

Answers

Answer:

B

Step-by-step explanation:

each side is corresponded to the other so Q=U and P=S

The correct option for the congruency of triangle by using ASA congruent theorem is,

⇒ ∠Q ≅ ∠T

We have to given that,

Two triangles PQR and STU are shown in figure.

Now, We have;

⇒ PQ ≅ ST

⇒ ∠P ≅ ∠S

To show the congruency of triangle by using ASA congruent theorem, we need;

⇒ ∠Q ≅ ∠T

As, PQ = ST

Therefore, The correct option for the congruency of triangle by using ASA congruent theorem is,

⇒ ∠Q ≅ ∠T

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What is 50000000000 + 500000000000

Answers

Answer:

1,000.000,000,000

Step-by-step explanation:

Answer:

free

Step-by-step explanation:

write the equation to solve for x 3x + 21 6x - 60 please help i was given 3x+21=6x-60 thats wrong can someone please help richard u are amazing wish i could message u u can me​

Answers

Answer:

3x + 21 = 6x - 60

Step-by-step explanation:

parallel angles are equal

3x + 21 = 6x - 60

combine similar terms:

3x - 6x = -60 - 21

-3x = -81

x = 81/3

x = 27

now, plugin the value of x=27 back into the equation to get the angle:

= 3x + 21

= 3(27) + 21

= 102

= 6x - 60

= 6(27) - 60

= 102

as you noticed, both values are equal 102 = 102 because its a parallel angles

 

so the equation is 3x + 21 = 6x - 60

================================

i am pretty sure its correct.

What is 1/4g(5+3)−4g+13

Answers

Answer:

simplify to -2g+13

Step-by-step explanation:

What equation do you get when you solve p = 2l + 2w for w

Answers

Answer:  When you solve for w the equation is [tex]w= \frac{p-2l}{2}[/tex]

Step-by-step explanation:

p = 2L + 2w  subtract 2L from both sides

p -2L = 2L -2L + 2w     2L-2L = 0 om the right; they cancel

p - 2L = 2w     now get w alone

(p - 2L)/2  = 2w/2   divide both sides by 2  2w/2 = w  2/2=1  it "cancels"

[tex]\frac{p +2L}{2} = w[/tex]  rewrite Reverse sides to put w alone on the left side

[tex]w= \frac{p-2l}{2}[/tex]

19. Estimate a 20% tip on a meal that cost $118.75.

Answers

Answer:

$23

Step-by-step explanation:

move the decimal over left 1 time and double the amount

Answer:

$23.75

Step-by-step explanation:

As 20% equals to [tex]\frac{20}{100}[/tex], which is the same as 0.20, then all you have to do to get to the answer is to calculate:

0.2 * 118.75 = $23.75

What is the y-intercept of y = 3 - 4x?

A: (0,3)
B: (3,0)
C: (-4,0)
D: (0,-4)

Answers

A is the right answer

Find the equation of the line perpendicular to y=-2x+1 that also intersects the points (8,2)

Answers

Answer:

y=2x+1

Step-by-step explanation:

change -2x to 2x

IF YOU CAN HELP ME I WILL LITERALLY BE SO HAPPY AND ILL FAV U TO GET SO MANY POINTS

THE WATER COMPANY INSTALLED A 40 YARD DIAGONAL BRACE ON A WATER TOWER BETWEEN TWO VERTICAL BEAMS THAT ARE 12 YARDS APART. DETERMINE THE HEIGHT OF EACH VERTICAL BEAM.

Answers

Answer:

120 yatds

Step-by-step explanation:

The height of each vertical beam is approximately 38.16 yards.

here is the question.​

Answers

Answer:

the answer of the question is 7

The coefficients in the expansion of (x + y)4
are
O A. 1, 4, 6, 4, 1
OB. 0, 1, 4, 6, 4, 1, 0
C. 0, 4, 6, 4,0
D. 1, 4, 6, 6, 4, 1

Answers

Answer:

A

Step-by-step explanation:

Notice:  The literal factors are all the combinations of a and b where the sum of the exponents is 4:  a4,  a3b,  a2b2,  ab3,  b4.

The degree of each term is 4.

The first term is actually a4b0, which is a4 · 1.

Thus to "expand" (a + b)5, we would anticipate the following terms, in which the sum of all the exponents is 5:

(a + b)5 =  ? a5 +  ? a4b +  ? a3b2 +  ? a2b3 +  ? ab4 +  ? b5

The question is, What are the coefficients?

They are called the binomial coefficients.  In the expansion of

(a + b)4, the binomial coefficients are

1  4  6  4  1

The coefficients in the expansion are 1, 4, 6, 4, 1.

What is Binomial Expansion?

The sum of exponents of x and y is always n. The binomial coefficients which are equidistant from the beginning and from the ending are equal i.e. [tex]^nC_0[/tex]= [tex]^nC_n[/tex], [tex]^nC_1[/tex]= [tex]^nC_{n-1}[/tex], [tex]^nC_2[/tex]= [tex]^nC_{n-2}[/tex] ,….. etc.

The expansion of [tex](x+ y)^4[/tex]

= [tex]x^4[/tex] + 4x³y + 6x²y² + 4xy³ + [tex]y^4[/tex]

So, the highest degree is 4.

and, The literal factors are all the combinations are  [tex]x^4[/tex], 4x³y, 6x²y², 4xy³,[tex]y^4[/tex]

Hence, the coefficients in the expansion are 1, 4, 6, 4, 1.

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7.18 x 10^3 is more than, the same as, less than 3610

Answers

Answer:

Greater than because the answer would be 7,180

Step-by-step explanation:

The answer is “more than” if you solve this problem it is 7180!

Use the rules of significant figures to simplify the following expression:
25.5 x 10.09
Answer here

Answers

25.5 × 10.09 = 257

Sig Figs
3

Decimals
0

Scientific Notation
2.57 × 102

Please Help thank you very much!!​

Answers

Answer: A

Step-by-step explanation:

Sams is greater than Wendy’s

Answer:

A

Step-by-step explanation:

Sam's balance: $161

Wendy's balance: $152

Of these two numbers, which is the greater one? 161. So, option A would be correct.

I need help plzz What is m 50*
35*
130*
95*

Answers

Answer:

50

Step-by-step explanation:

The measure of the angle ∠A will be 50°. The correct option is A.

What are lines and angles?

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines. A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.

Given that the two angles are 85 and 145. The internal angles will be calculated as,

180 - 85 = 95

180 - 145 = 35

The angle A will be calculated as below,
∠A = 180 - 35 - 95

∠A = 50°

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A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 75% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answers

Answer:

a una vez a respuesta

Step-by-step explanation:

cuando decimal a compra el gallos para cual es suma cuanto vez =150.49875

What is the midpoint of 50 and 49

Answers

50+49=99
99/2=50.5

So the midpoint is 50.5

You could also just figure out which number is in the middle of those two which is also 50.5

The Midpoint between 50 and 49 is 49.5

What is Midpoint?

The exact middle point between two numbers is referred to as the midpoint. By adding the two numbers together and then dividing the result by two, we can determine the midway of the two supplied values. It is the two numbers' average.

Given:

First number= 50

and second number= 49

So, the Midpoint between 50 and 49

= First number + second number/2

= 50+ 49 / 2

= 49.5

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What is the standard form of the equation of a line that passes through
(2,0) and (0,-5)?

Answers

(5,1) I think that’s it

Why might you need to use the addition or subtraction property of equality more than once after you have used the distributive property and combined like terms?​

Answers

Answer:

If there is a variable term and a constant on each side of the equation, then you will need to use the addition or subtraction property of equality once to isolate the variable term and once to isolate the constant.

ILL LITERALLY GIVE U 100 POINTS

I NEED THIS TURNED IN BY 3 EST.

Salim added 1 g of salt to each of four
beakers filled with water. He stirred the
water at different speeds and recorded how
long it took for the salt to dissolve.
Time (sec)
25
Stirring
No stirring
Slow stirring
Medium stirring
18
10
Fast stirring
6
Based on evidence in the table, what claim
should Salim make?
(F
G
Salt will not dissolve in water unless
the water is stirred.
Stirring water increases the rate at
which a salt dissolves.
Stirring water decreases the rate at
which a salt dissolves.
Stirring has no effect on the rate at
which a salt dissolves.
H Н

Answers

Answer:

Stirring water increases the rate at

which a salt dissolves.

Step-by-step explanation:

The stirring allows fresh solvent molecules to continually be in contact with the solute.

Solve the formula for R:
PV = nRT

Answers

the answer is
r = pt/nT
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