Please help!!! Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
I

Answer:

The pentagon shape = 8

The star shape = 6

The curl shape = 3

The wave pattern shape = 5

Step-by-step explanation:

Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z

Horizontally, we have;

w + 2·x + y = 23.....(1)

2·y + 2·z = 16...........(2)

2·z + w + x = 24.. ..(3)

3·y + x = 15..............(4)

Vertically, we have;

2·x + z + y = 20.......(5)

2·y + w+ z = 19........(6)

From the above equations, we have;

From equation (4), we have x = 15 - 3·y

From equation (2), we have z = 8 - y

From equation (1), we have w = 23 - (2·(15 - 3·y) + y)

∴ w = 23 - 30 + 6·y - y = 5·y - 7

w = 5·y - 7

Substituting the above values for x, and z i equation (5) gives;

2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20

30 - 6·y + 8 - y + y = 20

6·y = 30 + 8 - 20 = 18

y = 18/6 = 3

y = 3

w = 5·y - 7 = 5×3 - 7 = 8

w = 8

z = 8 - y = 8 - 3 = 5

z = 5

x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6

x = 6

Therefore, we have;

w = The pentagon shape =8

x = The star shape =6

y = The curl shape = 3, and

z = The wave pattern shape =5

The number of each of the four given shapes filled in the rows and columns are;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

From the diagram, we see four shapes and so let us identify them with letters;

Inscribed pentagon shape = a

Star shape = b

Spiral shape = c

Waves inside rectangle shape = d

For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;

a + 2b + c = 23   .....(eq 1)

For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;

2c + 2d = 16  ......( eq 2)

For the third row, we see 1 star, one inscribed pentagon  and 2 Waves inside rectangle shape. Thus;

a + b + 2d = 24 ....(eq 3)

For the fourth row, we see 3 spiral shapes and one star shape. Thus;

b + 3c = 15 ....(eq 4)

Looking at the columns, we see that;

First column;

2c + a + d = 19  ....(eq 5)

Second column, we have;

2b + c + d = 20  .....(eq 6)

From eq 4; b = 15 - 3c

From eq 2, we have; d = 8 - c

Putting them in eq 1 gives;

a + 2(15 - 3c) + c = 23

a + 30 - 6c + c = 23

a = 5c - 7

Putting d = 8 - c and a = 5c - 7 into eq 5 gives;

2c + 5c - 7 + 8 - c = 19

6c + 1 = 19

6c = 18

c = 3

Put 3 for c in a = 5c - 7

a = 5(3) - 7

a = 8

Put 3 for c in b = 15 - 3c

b = 15 - 3(3)

b = 6

Put 3 for c in d = 8 - c

d = 8 - 3

d = 5

Thus, we have;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

Read more at; https://brainly.com/question/18452224

Answer:

A=2

B=1

C=4

D=5

E=3

130 degrees

138 degrees

angle 2 is not alternate exterior to any angle

angle 6

Step-by-step explanation:

sorry about that I don't know what I was thinking

Answer:

23.7

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

75-31=44

Answer:

44 books

Step-by-step explanation:

75-31=44

simple math

U can use the cross multiplication to find out

5/8 = x/100

x=5/8 * 100

x= 62.5

Your final answer: 62.5/100

Hope this does it

P.S

Plz mark brainliest?

Answer:

If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

1+3*1

3*1=3

3+1=4

Answer:

the answer is 4

Step-by-step explanation:

you do 3 times 1 witch is 3 then add 1 also hears a tip always do multiplication and division first

Answer:

1/8 tablespoons

Step-by-step explanation:

Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.

You can do this by multiplying 1/2 by 1/4.

[tex]\frac{1}{2} * \frac{1}{4} = \frac{1}{8}[/tex]

Answer:

it would be 1/8

Step-by-step explantion:

simply divide

1/2÷4

=1/8

(that should be right)

Answer:

+29

Step-by-step explanation:

(-)(-)=+

Step-by-step explanation:

A. For Tavon's gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=145-3.5x------1

for Tavon's second gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=125-3x-------------2

B. equating 1 and 2 we have

145-3.5x=125-3x

solve for x we have

145-125=-3x+3.5x

20=0.5x

divide both sides by x we have

x=20/0.5

x= 40

put x=40 in

y=145-3.5*40------1

y=145-140

y=$5

put x=40 in

y=125-3*40------1

y=125-120

y=$5

Answer:

Step-by-step explanation:

220 is the answer

176 + 43 = 219

219 is almost 220

Answer: No its not a right angled triangle. Please mark as brainliest!

Answer:

Yes

Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse

Answer:

20%

Step-by-step explanation:

The dollar amount of the discount is $32.00 - $25.60 = $6.40

Now we need to find what percent of $32.00 is $6.40.

To find what percent a part is from a whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

part = $6.40

whole = $32.00

percent = $6.40/$32.00 * 100%

percent = 20%

Answer:

690,000

Step-by-step explanation:

The 8 is the ten thousands place- 685,135

If the number after the 8, (in this case 5) is 0-4, round to 8. If the number after the 8 is 5-9, round up to 9.

Answer:

24

Step-by-step explanation:

18/24=0.75

Hope this helps!

Answer:

98.1°F ≤ x ≤ 99.1°F

Step-by-step explanation:

Given the function:

f(x) = |98.6 - x|

Variance = 0.5

98.6°F - x = ± 0.5

Lower bound :

98.6 - 0.5 ≤ x

98.1 ≤ x

Upper bound :

x ≤ 98.6 + 0.5

x ≤ 99.1

Hence,

98.1°F ≤ x ≤ 99.1°F

Answer:

c.gle c.angel B

Step-by-step explanation:

consider the triangle which shows the order of the angles from smallest to largest?

Image is too blurred.

Try taking another one.

Answer:

Step-by-step explanation:

I will be using all caps for variables

Solve for L

V = LWH

/ WH  /WH

V/WH = L

Solve for H

V = LWH

/LW  /LW

V/LW = H

Answer:

$3.75 per pound of chicken

Step-by-step explanation:

Price of 3 pounds of cheese      $ 4.50x3= $13.50  

$24.75-$13.50 = $11.25 (price of 3 pounds of chicken)

Chicken          : $11.25/ 3   =  $3.75 per  pound

$11.25 + $13.50 = $24.75

Answer:

9

Step-by-step explanation:

No of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 11.

The number of customers that enter their restaurant is equal to 1 times the number of  people that buy a hotdog from the hotdog cart plus 38.

The equation that shows the given condition,

4x + 11 = 1x + 38

x is the no of people

Taking the like terms,

4x-1x=38-11

3x=27

x = 9

So, there are 9 people buying a hotdog  from the hotdog cart.

Answer:

22.25

Step-by-step explanation:

there are no special things to be considered.

You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:

20.25 + 2 = 22.25

Answer:

a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.

b)Angle BXC = 70⁰

Step-by-step explanation:

b) Since XB = XC, triangle BXC is therefore an isosceles triangle.

Angle XBC = Angle XCB

Sum of interior angles of a triangle = 180⁰

55⁰ + 55⁰ + Angle BXC = 180⁰

110⁰ + Angle BXC = 180⁰

Angle BXC = 180⁰- 110⁰

= 70⁰

Answer:

trick question

Step-by-step explanation:

The equation cannot be answered since if you add like terms you have 3 x on each side but different total values

The answeris : y=35x+75

Answer:

Your answer is: x = 9250

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

w = 19/15 or 1 4/15

Step-by-step explanation:

11/15 = w-(8/15) // - w-(8/15)

11/15-w+8/15 = 0

19/15-w = 0 // - 19/15

-w = -19/15 // * -1

w = 19/15

w = 19/15

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]

[tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]

______________________________

 [tex]\bold{Answers:}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]

Answer:

-1.34

Step-by-step explanation:

Answer:

100

Step-by-step explanation: