Use the distributive property to write an equivalent expression.
8(3v+3w-2)

Answers:

Length = 270 feet

Width = 45 feet

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

Work Shown:

x = width

6x = length, since it is 6 times the width

P = perimeter of rectangle

P = 2*(Length + Width)

P = 2*(6x + x)

P = 2*(7x)

P = 14x

Plug in the given perimeter P = 630 and solve for x.

P = 14x

14x = P

14x = 630

x = 630/14

x = 45

The width is 45 feet.

The length must be 6x = 6*45 = 270 feet.

The required length and width of the lawn is given as Length = 270 feet and Width = 45 feet.

Given that,
A landscaper buried a water line around a rectangular lawn to serve as a supply line for a sprinkler system. The length of the lawn is 6 times its width. If 630 feet of pipe was used to do the job, what is the length and the width of the lawn is to be determined.

Perimeter is the measure of the figure on its circumference.

Here,
let the length be l and the width be w,
According to the question,
l = 6w
and
Perimeter of the lawn = 630
2 [l + w] = 630
2 [6w + w] = 630
14w = 630
w = 45
Now,
l = 45[6] = 270

Thus, the required length and width of the lawn is given as Length = 270 feet and Width = 45 feet.

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Step-by-step explanation:

ANGLE ,x=60

B=C(isoscles)

A=B.As sides are equal.

Answer:

(-9,-6)

Explanation

Answer:

(9,-6)

Step-by-step explanation:

(x,y)→(y,-x)

Negate the x then switch

(x,y)→(y,−x)

(6,9)→(9,−(6))=(9,−6)

Answer: 0.5(43,560)/ 40(128)

Step-by-step explanation:

Answer:

Protractor can be used to determine if two segments are congruent.

Step-by-step explanation:

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Answer:

12

Step-by-step explanation:

To find the greatest common factor if 72 and 84 first we need to find factors of them separately

72 :  1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

84 :  1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

there are 6 common factors that are 1, 2, 3, 4, 6, and 12

Therefore, the highest common factor of 72 and 84 is 12.

we can find highest common factor by other method called prime factorization for the you need to factorize them separately

prime factorization of

72 : 2 × 2 × 2 × 3 × 3

84: 2 × 2 × 3 × 7

now we have to find common prime factors

those are 2 × 2 × 3

now multiply them

= 12

The greatest common factor of 72 and 84 is 12

The HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.

Given is to find the greatest common factor or HCF of 72 and 84.

We will first find the factors of each of the numbers given.

The factors of 72 are as follows : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

The factors of 84 are as follows : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.

Check the bolded numbers. It can be seen that it is both common and largest of the other common numbers. From the definition of HCF, we can write that the HCF of 72 and 84 would be 12. So, the greatest common factor or HCF is 12.

Therefore, the greatest common factor of 72 and 84 is 12.

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Answer:

see explanation

Step-by-step explanation:

(7)

(25x + 8) and (9x + 2) are adjacent angles and sum to 180° , then

25x + 8 + 9x + 2 = 180 , that is

34x + 10 = 180 ( subtract 10 from both sides )

34x = 170 ( divide both sides by 34 )

x = 5

Then

9x + 2 = 9(5) + 2 = 45 + 2 = 47

(7y + 5) and (9x + 2) are vertical angles and are congruent , so

7y + 5 = 47 ( subtract 5 from both sides )

7y = 42 ( divide both sides by 7 )

y = 6

------------------------------------------------------

(8)

(11x - 24) and (7x + 30) are vertical angles and are congruent, so

11x - 24 = 7x + 30 ( subtract 7x from both sides )

4x - 24 = 30 ( add 24 to both sides )

4x = 54 ( divide both sides by 4 )

x = 13.5

Similarly

(17y - 4) and (5y + 38) are vertical angles and congruent , then

17y - 4 = 5y + 38 ( subtract 5y from both sides )

12y - 4 = 38 ( add 4 to both sides )

12y = 42 ( divide both sides by 12 )

y = 3.5

Answer:

It doesn't say what to do with that 0.1 of a gallon. I would buy another gallon or dilute what I had so it came to exactly 9.1 gallons. In math, I suppose the answer is 9.

In reality it would be 10.

You have to choose.  What has been done with other questions like this.

Step-by-step explanation:

1 can covers 55 square feet.

h = 10

w1 = 10 feet

w2 = 10 feet

w3 = 15 feet

w4 = 15 feet

Total area = Area of wall 1 + wall 2 + wall 3 + wall 4

Total area = 10*10 + 10*10 + 10*15 + 10* 15

Total area = 100  + 100 + 150 + 150

Total area = 500  feet^2

1 gallon / 55 ft^2 = x / 500 ft^2          Cross multiply

55 * x = 500                                       Divide by 55

x = 500/55

x = 9.1 gallons.

In real life you would buy another gallon.

Answer:

64.00

Step-by-step explanation:

64.00 is the correct answer.

63.999 rounded to 2 decimal places is 64.00

In rounding off numbers, if the first figure dropped is 5, and all the figures following the five are zero or if there are no figures after the 5, then the last figure kept should be increased by 1 if that last figure is odd.

For example, if only two decimals are to be kept, then 6.755000 becomes 6.76.

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Step-by-step explanation:

P - 12.95 = 44

P = 56.95

is it right?

Hi

Answer:

3bc

Step-by-step explanation:

3×b=3b

3b×c=3bc

Answer:

6

Step-by-step explanation:

36 / 6 = 6

A hexagon's six sides are all equal to a sixth of the perimeter.

Step-by-step explanation:

Hey there!

The given points are: (-3,-6) and (3,-6).

x 1 = -3 y1 = -6

x 2 = 3 y2 = -6

Use distance formula;

[tex]d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Keep all the values;

[tex]d = \sqrt{( {3 - ( - 3))}^{2} + ( { - 6 - ( - 6))}^{2} } [/tex]

Simplify:

[tex]d = \sqrt{ {(6)}^{2} + {( - 6 + 6)}^{2} } [/tex]

[tex]d = \sqrt{ {(6)}^{2} } [/tex]

Therefore, the distance is 6 units.

Hope it helps!

Answer:

(-1,3)

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

for 1)

angle y = 180 - 110 = 70 degrees

angle z = angle y = 70 degrees

angle x = 89 degrees

for 2)

angle 1 = 180 - 85 = 95 degrees

angle 2= 180 - 95 - 85 degrees

angle 3 = 180-95 = 85 degrees

for 3)

m angle 3 = 25 degrees, same as m angle 1

Step-by-step explanation:

a)

(a+p)y=q-p

a+p=q-p/y

a=q-p/y - p

b)

x²-y²=a

x²=a+y²

x=√a+y²

c)

P=V²/R

R=V²/P

d)

3ab+s=a²b

s=a²b-3ab

e)

x²y=5k-4

x²=5k-4/y

f)

y=√x+2ac

y²=x+2ac

x=y²-2ac

g)

q-p+r=s³

p=q-r-s³

h)

2xy=4ak

x=4ak/2y

j)

7k+h-q=2q

q=7k+h-q/2

Note:if yoy have any question to ask,let me know.

Taking into account the original image that appears in the attached document and verifying the correct solution in each case:

1. The figures that are scaled copies of the original are:

2. I'm not agree with Tyler's affirmation.

SCALING FIGURES.

When you must scale figures, you must remind the scale must be applied in all dimensions of the figure, when a figure is in two dimensions, I mean, the figure has height and length, the scale must be applied to this two dimensions, and the figure must the same form of the original to be a scaled copy.

In the first exercise, the original A is a figure with two squares of height and two squares of length 2x2, by this reason, each scaled copy must be the same height as length (1x1, 3x3, 4x4, 5x5, 6x6 and others).

As you can see, the figure 2 has 4 units of height and 4 units of length 4x4, it's a scaled copy, the figure 4 has 1 unit of height and 1 units of length 1x1, it's a scaled copy, but the figure 1 has 3 units of height and 2 units of length 3x2, it's not a scaled copy, and the figure 3 hasn't the same form of the original A, by this, it's not a scaled copy.

In the second exercise, you can´t agree with Tyler because the figure B is the half of the figure A, but just in the height, remember this must be the same in the length to obtain a correct scaled copy, you can see in the exercise, the figure B has the same length as the figure A, by this reason, the affirmation of Tyler is wrong, for that to be true, the height and the length should be half in the figure B.

You can see other exercises with scales in the next links:

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Answer:

21

Step-by-step explanation:

1.365÷65=21 dollars

Hi! I'm happy to help!

For our equation, we need to find out what our two smaller equations are.

We can see that angle HGF is our largest angle, and it is composed of EGF, and HGE. We can insert our values into an equation to solve:

16x+4=110+3x+11

We can then combine like terms:

16x+4=121+3x

To solve for x, we need to put it by itself on one side of the equation. So, let's subtract 4 from both sides:

16x=117+3x

Now, let's subtract 3x from both sides:

13x=117

Now, let's divide both sides by 13 to solve for x:

x=9

Now, we know that x=9.

I hope this was helpful, keep learning! :D

Population growth represents the rate at which the population changes

Given that:

[tex]r_1 = 2[/tex] ----- i.e. when the population doubles

[tex]r_2 = \frac{1}{2}[/tex] ----- i.e. when the population cut in halves

Population growth is represented as: [tex]A_n = ar^{n}[/tex]

Organism A

For the first 5 days (when it doubles) is:

[tex]A_5 = ar_1^{5[/tex]

Substitute [tex]r_1 = 2[/tex]

[tex]A_5 = a\times 2^{5[/tex]

For the next 3 days (when it cut in halves) is:

[tex]A = A_5 \times r_2^3[/tex]

Substitute [tex]A_5 = a\times 2^{5[/tex] and [tex]r_2 = \frac{1}{2}[/tex]

[tex]A= a \times 2^5 \times (\frac{1}{2})^3[/tex]

Apply law of indices

[tex]A = a \times 2^5 \times 2^{-3[/tex]

[tex]A = a \times 2^{5-3[/tex]

[tex]A = a \times 2^{2[/tex]

So, the growth factor of organism A is:

[tex]A = a \times 2^{2[/tex]

Organism B

For the 8 days, we have:

[tex]B=ar_1^8[/tex]

[tex]B=a\times 2^8[/tex]

The expression (n) for the number of times the population of B is greater than A is:

[tex]n = \frac BA[/tex]

This gives:

[tex]n = \frac{a \times 2^8}{a \times 2^2}[/tex]

[tex]n = \frac{2^8}{2^2}[/tex]

Apply law of indices

[tex]n = 2^{8-2}[/tex]

[tex]n = 2^{6}[/tex]

The expression that is not in exponential form is:

[tex]n = 2 \times 2\times 2\times 2 \times 2\times 2[/tex]

[tex]n = 64[/tex]

Hence:

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Answer:

[tex] \frac{3(x + 4)(x + 1)}{(x + 2)(x - 2)} \\ x = 4 \\ then \frac{3(4 + 4)(4 + 1)}{(4 + 2)(4 - 2)} \\ = \frac{3 \times 8 \times 5}{6 \times 2} \\ = \frac{120}{12} = 10 \\ thank \: you[/tex]

there :))) check out image I could attach one image...sorry

Answer:

[tex]y=3x+6[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)

We're given that the slope of the line is 3. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=3x+b[/tex]

We're also given the point (0,6). Since the y-intercept occurs when x=0, the y-intercept is therefore 6. Plug this into [tex]y=3x+b[/tex] as b:

[tex]y=3x+6[/tex]

I hope this helps!

Answer:

Cheena has 6 pieces of fabric.

Step-by-step explanation:

3/4 yard of fabric also means 6/8 yard of fabric.

(6/8) / (1/8) = 6

Or

6/8 yard = 6  1/8 yard pieces

Answer:

Step-by-step explanation: