How many poles will there be in a stack of telephone piles if there are 58 in the first layer, 57 in the second, 56 in the third, and so on, with 12 in the top layer?

Answer:

y = 1/4x - 2

Step-by-step explanation:

y = 1/4x + b

-1 = 1/4(4) + b

-1 = 1 + b

-2 = b

Answer:

Step-by-step explanation:

[tex]\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}[/tex]  rewrite as multiplication

[tex]\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}[/tex]  look to factor

[tex]\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex]  , difference of 2 squares and perfect square

[tex]\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex], finish factoring and simplify

2(x+3)

Answer:

A. 1 7/10x+2 1/2y+6

B. 7/10x+2 1/2y+6

C. 7/10x+8 1/2y+6

D. 1 7/10x+4 1/4y+3

Answer:

The volume is 60 cubic units

Step-by-step explanation:

It is given that Savannah is using the unit cubes for determining the volume of her desk drawer.

Each of the cube have dimensions of 1 unit by 1 unit by 1 unit

The base of the drawer is 4 unit cubes by 3 units cubes. And the height of the desk drawer is 5 units cube.

Thus the volume of her desk drawer is = 4 x 3 x 5

                                                                = 60 cubic units

Step-by-step explanation:

x=y=75°

y+30=z

105=z

!!!!!!!!!!

Answer:

x = 75 degree , y = 75 degree , z = 105 degree

Step-by-step explanation:

x = 75 degree (being corresponding angles)

x=y (being corresponding angles)

75 = y

substituting the value

y + 30

75 + 30

105 degree

z = y + 30 (being corresponding angles)

z = 105 degree

Answer:

Area = 1500 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area= height ×(Base 1 +base 2)

Area = 20 × (40+35)

Area = 20×75

Area = 1500 [tex]cm^{2}[/tex]

Answer:

y=x-2

Step-by-step explanation:

x=6 and y=4, so simplest equation is y=x-2

You can have infinity lines with the point (6,4). Another example is [tex]y=\frac{1}{2} x+1[/tex]

Answer:

7 and 5

Step-by-step explanation:

they have variables with them

Answer:

D

Step-by-step explanation:

Answer:

[tex]Pr(x) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- number of rolls

Required

The theoretical probability of rolling: (a) 1    (b) 4    (c) 6    (d) 7

Assume the cube is 6 sided.

The sample space is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

And the probability of each is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:

[tex]Pr(x) = \frac{1}{6}[/tex]

Answer:

45

Step-by-step explanation: If you turn 90 counter clockwise ( aka divided by half ), the result would be 45.

9

Answer:

there is one more zero

Step-by-step explanation:

now it's 8 million rather than 800 thousand.

Answer:

a₄ = 256

Step-by-step explanation:

Using the given definition , then

a₂ = a₁² = 2² = 4

a₃ = a₂² = 4² = 16

a₄ = a₃² = 16² = 256

Answer:

256

Step-by-step explanation:

a₁ = 2

a₂ = (a₁)² =  2 ² = 4

a₃ = (a₂)² = 4² = 16

a₄ = (a₃)² = 16² = 256

Answer:

<1 and <3 are vertical angles

Step-by-step explanation:

Vertical angles are formed from the same lines are share a vertex.  They are opposite from each other

<1 and <3 are vertical angles

<2 and <4 are vertical angles

Answer:

[tex]{\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}[/tex]

Vertical angles are formed from the same lines are share a vertex.  They are opposite from each other

Answer: 20 ft

Step-by-step explanation:

The mirror is set away from the flagpole on the same scale set away from her.

The distance she stand's away from the mirror is 1/4 of the length of the distance between the mirror and the flag pole because she's 1/4 of the flagpole's size.

This means her size x4 is the size for the flag pole. This checks out because 12x4=48

So to find the height we must do 5x4

5x4=20

Answer:

10h + 30 = 100

Step-by-step explanation:

10h + 30 = 100

Answer:

140$

Step-by-step explanation:

So Mike earned 100$ right. So he earns 10$. And got 30$ by Tips The answer is 140$ I hope it helps :)

Answer:

13 Rungs

Step-by-step explanation:

According to the Question,

The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.

Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.

Answer:

(-29,-27.4)

Step-by-step explanation:

2p+59=1

     -59 -59

2p=-58

/2     /2

p=-29

5p+139=2

     -139 -139

5p=-137

/5      /5

p=-27.4

Answer:

x>6

Step-by-step explanation:

Answer:

58988

Step-by-step explanation:

3556+55432

=58988

Answer:

2b-10≤27

Step-by-step explanation:

In this problem, we use b to represent the unkown number. Please be careful of order of operations when writing the inequality. (The difference of a number and 5) multiplied by 2 is at most 27. Also, note that the both sides of the inequality can be 27, but no more than 27.

[tex]2(b-5)\leq 27\\2b-10\leq 27\\[/tex]

If you wish to solve for b from here, simply isolate the term containing b and solve from there.

I hope this helps! Let me know if you have any questions :)

Answer:

2(x - 5) < 27

Step-by-step explanation:

Equation

2(b - 5)<27

Explanation

Break this down

difference means subtract.

The number is b

and finally for now, the difference between a number and 5 is

x - 5

Twice that difference is

2(x - 5)

And the keyword less (than) 27. Always make sure you know what less than means. It means that it is never equal to 27, but it can be pretty close.

26.999999999999 < 27

So the final result is

2(x - 5) < 27

Answer:

1 8/9

Step-by-step explanation:

Hope you enjoy :)

Answer:

hkxkjfxjflxjlnfzjjgzligxlkxljyyflkxklxyklclllyfylldkfol

Answer:

negative

Step-by-step explanation:

calculating the z score by subtracting the mean and dividing by the standard deviation

(55-70)/10= -1.5

It's negative

Answer:

10 students

Step-by-step explanation:

The maximum number is 26 and 16 have already signed up so in order to know how many can join without exceeding the maximum. You subtract 16 from 26. which then leaves you with 10

Answer:

Eleanor and Harold

Step-by-step explanation:

The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:

[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]

Therefore, we have:

[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]

Hector's answer is equivalent but not simplified. However, they are both technically correct.

Answer:

y-3=2(x-10)

Step-by-step explanation:

y-3=2(x-10)

Step-by-step explanation:

a) Mount Logan, in southwestern Yukon, is 5959 m tall.

b) The diameter of an apple is 6.4 cm.

c) The largest brown bear, the Kodiak, is 2.44m in length.

The reason is that we need to use appropriate estimation method and approximation to present a meaningful figures in our life. Take the size of the apple as an example, we won't care it is one mm bigger or smaller.

Answer:

80

Step-by-step explanation:

This is a pentagon (5 sides), n=5

The sum of internal angles equals (n-2)*180 = 540°

We have

A = 90

B = 180-40

C = 180-x

D = 180-60

E = 180-90

Sum all the angles to equal 540°

90 + 180-40 + 180-x + 180-60 + 180-90 = 540

620-x = 540

solve for x

x = 620 - 540 = 80

Answer:

80

Step-by-step explanation:

the answer should be 80 just as mathmate explained

Bye !