Cho is making a rectangular garden, where the length is x feet and the width is 6x + 6 feet. He wants to add garden stones around the perimeter of the garden once he is done. If the garden is 6 feet long, how many feet will Cho need to cover with garden stones? Cho will need to cover _______ feet with garden stones.

Answer:

Each sandwich cost $6.25

Step-by-step explanation:

Subtract the price of magazine then divide the remaining amount with 2 since the price of sandwiches same

(20 - 7.5) ÷ 2 = 6.25

Step-by-step explanation:

There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.

Common difference = (16-12)/(5-3) = 2.

Hence number of white tiles = 2n + 6.

Answer:

Triangle 1: Isosceles obtuse

Triangle 2: Right scalene

Step-by-step explanation:

Isosceles triangles have two congruent sides and two congruent angles. Triangle one fits this description because the double markers on sides AC and AB indicate that the two sides are congruent.

Obtuse triangles have an angle that is larger than 90 degrees. Triangle one fits this description as indicated by angle A. If it were a right angle, it would have a square symbol (as shown in triangle 2). The other two angles are obviously smaller, and they would be acute angles.

Right triangles have an angle that is exactly 90 degrees. Right triangles will have a square to indicate that it has this measurement.

Scalene triangles have three different measurements for its sides and its angles.

Answer:

7 / 15

Step-by-step explanation:

Fraction before painting = 5/6

Fraction left after painting = 11/30

Fracrion used = difference of the fraction before painting and fraction left after painting

Fraction used = 5/6 - 11/30

Lowest common factor of 6 and 30 = 30

5/6 - 11/30 = (25 - 11) / 30 = 14/ 30

Fraction used = 14/30 = 7/15

Answer:  The density of the second substance = [tex]1.7\text{ g cm}^{-3}[/tex]

Step-by-step explanation:

[tex]\text{Relative density }=\dfrac{\text{Density of substance}}{\text{Density of reference}}[/tex]

Given: Density of a substance is [tex]3.4 \text{ g cm}^{-3}[/tex] .

Its relative density relation to another substance = 2.0

Substitute all values in the formula , we get

[tex]2=\dfrac{3.4}{\text{Density of reference}}\\\\\Rightarrow\ {\text{Density of reference}=\dfrac{3.4}{2}\\\\\Rightarrow\ {\text{Density of reference}=1.7 \text{ g cm}^{-3}[/tex]

Hence, the density of the second substance = [tex]1.7\text{ g cm}^{-3}[/tex]

Answer:

i just need  more points so sorry im not helping

Step-by-step explanation:

im just a blank bc it doesnt let me say it seventh grader

Answer: 12

Step-by-step explanation: 42/7 = 6 and u get 2 free passes so 6 x 2 = 12

Answer:

1 g-h

2 g^2-h

3 gh

4 g+h

5 h-g

6 g+h^2

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

Step 1: Subtract x from both sides.

−x+4−x=x+6−x

−2x+4=6

Step 2: Subtract 4 from both sides.

−2x+4−4=6−4

−2x=2

Step 3: Divide both sides by -2.

−2x/−2= 2/−2

x=−1

Hope this helped :)

Answer:

x < -7 or x > 2

Step-by-step explanation:

The solution includes the interval from negative infinity to -7, not including -7. That means

x < -7

The solution also includes the intervals from 2 to infinity, not including 2. That means

x > 2

Answer: x < -7 or x > 2

Answer:

All systems have 2 real solutions.

Explanation: there are X and Y unknowns.

Step-by-step explanation:

2.

(13y)° and (8x+y)° are supplementary angles on a straight line therefore:

13y+8x+y=180°

14y+8x=180°——equation 1

Again,

(13y)° and (20x+3y)° are corresponding angles therefore are equal so:

13y=20x+3y

13y-3y-20x=0

10y-20x=0——equation 2

Now we find the value of x and y using the system of equations

Thus,we solve :

14y+8x=180°

10y-20x=0

Solving them,x=5 and y=10

3.We use the same approach for this

3(x+y)° and 5x are corresponding angles and are equal therefore:

3x+3y=5x

3x-5x+3y=0

-2x+3y=0——equation 1

Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:

5x+4x-9=180

9x-9=180°

9x=180+9

9x=189°

x=21

Plug in the value of x into equation 1 for y

-2x+3y=0

-2(21)+3y=0

-42+3y=0

3y=42

y=42/3=14

So x is 21 and y is 14

Answer:

-3.82

Step-by-step explanation:

You are going up the line of negative numbers so you have to add o.o2 to 3.8 (3.80).

Answer:

i cant read that

Step-by-step explanation:

Step-by-step explanation:

Domain is the range of x-values for the function to be defined.

Domain of f(x) = [2,9]

Domain of g(x) = [2,9]

Answer:

y = (1/2)x - 5

Step-by-step explanation:

The slope of the line y = -2x + 5 is -2.  The slope of any straight line perpendicular to this line is therefore the negative reciprocal of -2, which comes out to +1/2.

Using this fact, and the point (2, -4), we write out the slope-intercept form y = mx + b, and substitute the appropriate values:

-4 = (1/2)(2) + b

Then:

-4 = 1 + b, which yields b = -5

Thus, the desired equation is     y = (1/2)x - 5

Answer:

Step-by-step explanation:

48/6.19=7.7544

Round that answer so it’s 7.75

Unit rate is $7.75 per ounce

Answer:

2

Step-by-step explanation:

8 + 10 = 18

18/9 = 2

Answer:

50

Step-by-step explanation:

35/7= 5

5*10=50

Answer:

50 people in the choir

Step-by-step explanation:

we can solve for x, assuming x is the value in which 1 is on the ratio. 7x=35, so the value of x would be 5. Next, we must multiply x by 3 since that is what the ratio states. If we do this, we will get 5*3, or 15. Therefore, there are 15 boys in the choir. Last, we have to add 15+35 to get the total number of people in the choir. There are 50 people in the choir.

Hope this helps! :)

(Also i know my explanation is rly bad just ignore it)

Answer:

x>6

Step-by-step explanation:

2x + 9 > 21

2x > 21-9

2x>12  dividing by 2

x>12/2

x>6

hope this helps

Answer:

x > 6

X has to be smaller than 6

Answer:

The relationship between the graphs of the two functions is "They are reflections of each other across the y-axis" ⇒ B

Step-by-step explanation:

∵ The points on f(x) are (-2, -31), (-1, 0), (1, 2), (2, 33)

∵ The points on g(x) are (2, 3), (1, 0), (-1, 2), (-2, 33)

∵ All x-coordinates on f(x) multiplied by -1 to get the x-coordinates of g(x)

→ By using the 2nd rule above

∴ g(x) is the image of f(x) after reflection across the y-axis

∴ The relationship between the graphs of the two functions is

    "They are reflections of each other across the y-axis"

Answer:

valley is 16

skyler is 21

lindsay is 29

hope this helps!

9514 1404 393

Answer:

  A. 6b³

  B. 6b +6

  C. p = 0.0375(6b³ +b +1)

  D. $115.54

Step-by-step explanation:

Given:

  3 candles with dimensions b×b×b, b×b×2b, and b×b×3b

  with wicks of lengths b+2, 2b+2, 3b+2

  wick costs $0.005/cm; wax costs $0.03/cm³

  selling price is material cost + 25%

Find:

  A. an expression for total volume

  B. an expression for total wick length

  C. an expression for the purchase price of a set

  D. purchase price for a set with base area 64 cm²

Solution:

A. The sum of the volumes of the three candles is ...

  v = b³ +2b³ +3b³

  v = 6b³

__

B. The sum of the wick lengths is ...

  L = (b +2) +(2b +2) +(3b +2)

  L = 6b +6

__

C. The selling price is 25% more than the cost of materials so is ...

  p = (1.25)(0.03×6b³ +0.005×(6b +6)) = 0.225b³ +.0375b +.0375

  p = 0.0375(6b³ +b +1)

__

D. The side of the base is the square root of the base area, so is ...

  b = √(64 cm²) = 8 cm

Then the price of a set of candles is ...

  p = 0.0375(6·8³ +8 +1) = 0.0375·3081 = 115.54

Purchase price for a candle set with a base area of 64 cm² is $115.54.

Answer:

Step-by-step explanation:

From the given attachment to the question, the following can be deduced.

1. M is the midpoint of GH, given that M is the definition of midpoint.

2. GM ≅ MH, given that x = 2. So that,

GM = 5x = 5(2)

      = 10

MH = 3x + 4 = 3(2) + 4

      = 10

Thus, GM ≅ MH

3. GM = MH is the definition of congruence. This implies that they are similar.

4. 5x = 3x + 4, by substitution property of equality.

Since, x = 2 then;

5(2) = 3(2) + 4

10 - 10

5. 2x = 4, given that x = 2.

6. GH = GM + MH, by division property of equality.

Answer:

Exact Form:

557/24

Decimal Form:

23.208¯3

Mixed Number Form:

23   5/24

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.