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Answer:

Step-by-step explanation:

Given that length of Rectangular garden is 9 feet more than its width and perimeter of garden is 206 feet.

Let's assume length of Rectangular garden be x + 9 feet and width be x feet respectively. Firstly using the formula of Perimeter of rectangle we'll find the length and width of the garden.

[tex] \\ \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf {Perimeter _{(rectangle)} = 2(L + W)}}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\\[/tex]

[tex]\dashrightarrow \sf \: \: 2(x + 9 + x) = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x + 18 + 2x = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x + 18 = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x = 206 - 18 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x = 188 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: x = \dfrac{188}{4 } \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: x = 47 \\ \\ [/tex]

Hence,

[tex]\\[/tex]

Now,

[tex] \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf Area _{(rectangle)} = Length \times Width }}}} \\ \\ [/tex]

Substituting the required values:

[tex]\\[/tex]

[tex]\dashrightarrow \sf \: \: Area = 56 \times 47 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: Area = 2632~ ft^2 \\ \\ [/tex]

Hence,

Answer:

Area of rectangular garden is 2632 feet²

Step-by-step explanation:

Given:-

To find :-

Solution:-

Let the length of Rectangular garden be x + 9 feet and width be x feet .

We know that , the formula of Perimeter of rectangle is 2 ( L + B )

putting the known values to find the dimensions ,

2 ( L + B ) = 206 feet

2 ( x + 9 + x ) = 206 feet

4 x + 18 = 206 feet

x = 47 feet

putting the values of x in the equation ,

Length :- 56 feet

width :- 47 feet

Now , area of rectangular garden :- L×B

Area => 56×47 feet²

Area => 2632 feet²

The time when Hank's Movers will cost less is the point when the total charges is both Movers are Equal, the time is at 3 hours

Given Data

For Acme, the expression for the total charges is

Total = 45+40x ----------1

For Hank, the expression for the total charges is

Total = 55x ----------------2

Equating both expressions we have

45+40x = 55x

collect like terms

45 = 55x-40x

45 = 15x

divide both sides by 15

x = 45/15

x = 3 hours

Learn more about algebra here:

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Answer:

I think that the answer is 56

Answer:

y=6x+8

Step-by-step explanation:

y=mx+b

-4=6(-2)+b

-4=-12+b

8=b

Answer:

Table 2 and 3

Step-by-step explanation:

A linear relationship should show a straight line, showing that it's linear.

*View the attached graphs*

Hope this helps!

Answer:

1/2

Step-by-step explanation:

3/4 of 2/3 = 3/4 × 2/3 = 6/12 = 1/2

Answer:

slightly confused on the wording if he got back 3/4 from 16.5 then he earned back 12.375 points

if -16.5 is the 1/4 he didnt get back then he had 66 points

Step-by-step explanation:

Answer:

27 miles

Step-by-step explanation:

27 miles is your answer

Answer:

22.5

Step-by-step explanation:

8 pieces is 180 calories to find the calorie of one piece :

180/8 to get 22.5

Answer:

some number increased by two: (E) b+2

A variable decreased by two: (D) x-2

Product of an unknown value and two (C) 2z

Quotient: (A) a / 2

An unknown value squared: (B) y2

Answer:

amgle sut is equal to angle suv bcz of sas criteria . so 10+w = 3w

on solving we get w= 5

Answer:

D  In step 3

Step-by-step explanation:

Given polynomial:  x² - 2x - 15 = 0

Step 1:  factor the polynomial ⇒ (x + 3)(x - 5) = 0

Step 2:  x + 3 = 0  and  x - 5 = 0

Step 3:  x = -3  and x = 5

x - 5 = 0

Add 5 to both sides:

⇒ x - 5 + 5 = 0 + 5

⇒ x = 5

Answer:

12 apples is the answer because 1/2 divided by 6 is 12

Step-by-step explanation:

Answer:

3780/90

what number close to 37 is divisible by 9 ? 36 !!

3600/90=40 or 3690/90=41

3780/90=42

this an underestimate because the compatible numbers 3600 and 3690 are less than 3780

yall be safe

Our estimate is 38. This estimate is an overestimate because we rounded up both numbers, so we expect the actual quotient to be slightly smaller than our estimate.

Compatible numbers are numbers that are simple to mentally work with and can be used to estimate or simplify a more complex calculation.

When performing addition, subtraction, multiplication, or division, for example, it is often helpful to choose numbers that are easy to manipulate in your head or by hand, such as multiples of 10, 100, or 1000.

To estimate the quotient of 3,780 divided by 90 using compatible numbers, we can round 3,780 to 3,800 (which is divisible by 100) and round 90 to 100. Then, we have:

3,800 ÷ 100 = 38

Thus, the estimate is 38. This estimate is an overestimation because we rounded both numbers, so we anticipate that the actual quotient will be slightly lower than our estimate.

For more details regarding Compatible numbers, visit:

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The correct answer for this question is 30 students

Sure hope this helps you :)

We have to factorise?

Let's see

#1

Take -5ac common

#2

Done!

Answer:

Question d

[tex]\sf -10a^2c+20ac-5ac^3[/tex]

Factor out common term -5:

[tex]\sf \implies -5(2a^2c-4ac+ac^3)[/tex]

Factor our common term a:

[tex]\sf \implies -5a(2ac-4c+c^3)[/tex]

Factor out common term c:

[tex]\sf \implies -5ac(2a-4+c^2)[/tex]

Question f

[tex]\sf 10c^3d-8cd^2+2cd[/tex]

Factor out common term 2:

[tex]\sf \implies 2(5c^3d-4cd^2+cd)[/tex]

Factor out common term c:

[tex]\sf \implies 2c(5c^2d-4d^2+d)[/tex]

Factor out common term d:

[tex]\sf \implies 2cd(5c^2-4d+1)[/tex]

Answer:

D is the correct answer. This charged appeared on a bill

60

The answer is given in the above picture.

Hope u like it............

Answer:

The sum of two even numbers is an even number

Step-by-step explanation:

Hey there!

As you can see in the table, all the even numbers when added up are equal to an even number

This make the statement "The sum of two even numbers is an even number" true

Answer:

2485.04

Step-by-step explanation:

Count the number of 20s in the given expression: 3

⇒ 3 × 20 = 60

Count the number of 25s in the given expression: 4

⇒ 4 × 25 = 100

Count the number of 40s in the given expression: 4

⇒ 4 × 40 = 160

Count the number of 50s in the given expression: 15

⇒ 15 × 50 = 750

Count the number of 60s in the given expression: 3

⇒ 3 × 60 = 180

Count the number of 80s in the given expression: 2

⇒ 2 × 80 = 160

Count the number of 100s in the given expression: 6

⇒ 6 × 100 = 600

Finally, there is one each of 125, 150, 200 and 0.04

To find the total, sum the numbers:

Total = 60 + 100 + 160 + 750 + 180 + 160 + 600 + 125 + 150 + 200 + 0.04

        = 2485.04

Answer:

2485.04

Step-by-step explanation:

I just used a caculcalculator

Answer:

8 feet are represented by a 4-inch line.

Step-by-step explanation:

Scale:

1/2 (0.5) in. = 1ft

1/2x = 1

x = 2

4x in. = ? ft

4(2) in = ? ft

4 x 2 = 8

8 feet are represented by a 4-inch line.

hope this helps!! p.s. i really need brainliest :)

Answer:

number 1 is a

Step-by-step explanation:

I don’t know the rest tho but good luck

Answer:

the answer is 1600

Answer:

x=-2

y=-11

Step-by-step explanation:

4x-3=-x-13

5x-3=-13

5x=-10

x=-2

y=4(-2)-3

y=-11

The correct answer would be: 6/5

Answer:

I believe the answer should be 90:90:180. I may be wrong.

Answer:

f(x) = x^3 - 6x^2+8x

Step-by-step explanation:

Remember while you are studying polynomial functions that zeros are just the solutions (and are the x-intercepts on the graph).

The question said the zeros were 0, 2 and 4, so if you were solving the equation you would get:

x=0 and x=2 and x=4

Just "undo" that last step of solving and you get:

x = 0 and

x - 4 = 0 and

x - 2 = 0

These are the factors of the function and they do look just like the second option of answers on your question. But that is in factored form and they asked you for standard form.

so f(x)=x(x-2)(x-4) is almost there, but you need to multiply all the factors back together.

(x - 2)(x - 4)

use FOIL or distributive property or area model(box) method to multiply and get

x^2 - 6x + 8

Then multiply in the x using distributive property.

f(x) = x(x^2-6x+8)

f(x) = x^3 - 6x^2 + 8x

That's the final answer (the third choice of answers on your post.) I think of this as a "working backwards" problem because you start with solutions (zeros means solutions!) and work backwards to find factors, then the function.

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Length of rectangular prism = [tex]\sf\red{4m}[/tex]

[tex]\rightarrow[/tex] Width of rectangular prism = [tex]\sf\red{7m}[/tex]

[tex]\rightarrow[/tex] Height of rectangular prism = [tex]\sf\red{8.5m}[/tex]

[tex]\sf\large\underline{\star To \: Find:-}[/tex]

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] We can find the volume of given rectangular prism by using the formula:

[tex]\sf\blue{Length × Width ×Height}[/tex]

So, let's begin:

[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{Length × Width ×Height}[/tex](putting the value of length, width and height from the above given)

[tex]\rightarrow[/tex][tex]\sf{=\:4× 7 ×8.5}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\:28×8.5}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\:238m^3}[/tex]

Therefore, volume of the given rectangular prism = [tex]\sf\purple{238m^3.}[/tex]

______________________________

Hope it helps you:)