Which of the following best describes the number shown below?
0.535353...

A.
rational
B.
irrational
C.
both rational and irrational
D.
neither rational nor irrational

Answer:

Step-by-step explanation:

Step 1: Equation at the end of step 1

Simplifying

60(x + 20) = 3x

Reorder the terms:

60(20 + x) = 3x

(20 * 60 + x * 60) = 3x

(1200 + 60x) = 3x

Solving

1200 + 60x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

1200 + 60x + -3x = 3x + -3x

Combine like terms: 60x + -3x = 57x

1200 + 57x = 3x + -3x

Combine like terms: 3x + -3x = 0

1200 + 57x = 0

Add '-1200' to each side of the equation.

1200 + -1200 + 57x = 0 + -1200

Combine like terms: 1200 + -1200 = 0

0 + 57x = 0 + -1200

57x = 0 + -1200

Combine like terms: 0 + -1200 = -1200

57x = -1200

Divide each side by '57'.

x = -21.05263158

Simplifying

x = -21.05263158

Answer:

pretty sure it's 65

Step-by-step explanation:

They're usually congruent for these type of angles. Also, y would be 50

Answer:

x = 50°

Step-by-step explanation:

y = 65° because the base angles of an isosceles triangle are equal

x = 50° because angles in a triangle add up 180°

Answer:

2373.8 dollars

Step-by-step explanation:

3652 times 35% equals 1272.2 so 3652 - 1272.2 = 2372.8

Answer:

B. 31.4

Step-by-step explanation:

To find x, the hypotenuse, we need to use sin because we have been given the opposite (the side opposite the angle 35°) and we need to work out the hypotenuse (the longest or slanted side):

SOH, CAH, TOA

sin(θ) = opposite ÷ hypotenuse

Sub in the values (we don't know the hypotenuse so i've called it x):

sin(35) = 18 ÷ x (multiply both sides by x)

x × sin(35) = 18 (divide both sides by sin(35))

x = 18 ÷ sin(35) = 31.38204...

x ≈ 31.4

Hope this helps!

Answer:

Vertex form: f(x) = – (x – 3)² – 1  

vertex: (3, -1)

Step-by-step explanation:

Given the quadratic function, f(x) = -x²+ 6x -10:

where a = -1, b = 6, and c = -10

The vertex of a parabola is the point at which the parabola intersects the axis of symmetry. The axis of symmtery occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.

To find the vertex, (h, k), you need to solve for h by using the formula:  [tex]h = \frac{-b}{2a}[/tex]

Plug in the values into the formula:

[tex]h = \frac{-b}{2a}[/tex]

[tex]h = \frac{-6}{2(-1)} = 3[/tex]

Therefore, h = 3.

Next, to find the k, plug in the value of h into the original equation:

f(x) = -x²+ 6x -10

f(x) = -(3)²+ 6(3) -10

f(x) = -1

Therefore, the value of h = -1.

The vertex = (3, -1).

Now that you have the value for the vertex, you can plug these values into the vertex form:

f(x) = a(x - h)² + k

a =  determines whether the graph opens up or down, and makes the parent function wider or narrower.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Plug in the vertex, (3, -1) into the vertex form:

f(x) = – (x – 3)² – 1  

This parabola is downward-facing, with its vertex, (3, -1) as its maximum point on the graph.

4. A: y= 2x + 6

B: y= x + 9

5. (3,12)

6. C: a pizza with 3 toppings will equal $12 at either restaurant

Answer:

m∠1 = 107 degrees

m∠2 = 73 degrees

Step-by-step explanation:

1. ∠1 and the angle with 107 degrees are corresponding angles, which are located in the same relative position. They're congruent in measures, so m∠1 = 107 degrees.

2. ∠1 and ∠2 are a linear pair, meaning their angle measures add up to 180 degrees. Given m∠1 = 107 degrees, we just have to subtract 107 from 180 to get m∠2.

Therefore, m∠2 = 73 degrees.

Answer:

46

Step-by-step explanation:

1 sum  42+4

Answer:

1.5 Or C :)

Step-by-step explanation:

Median x˜ 18.5

that is the answer.

Answer:

-12

Step-by-step explanation:

Answer:

-8(-4+x)

Step-by-step explanation:

This is because the value of all the numbers never changes. Because

"-8(x-4)= -8x+32" and "-8(-4+x)= 32-8x" are equal, this would be the only correct answer.

Hope this helps! :)

Creating an expression for the scenario, the Number of players that can be brought to the tournament is 21.

Given the Parameters :

We could represent the expression to calculate the number of players thus :

Total amount raised = (Bus rent + (amount per player × number of Players))

1405.25 = 822.50 + 27.75x

1405.25 - 822.50 = 27.75x

582.75 = 27.75x

x = (582.75÷27.75)

x = 21 players

Therefore, the Number of players would be 21.

Learn more : https://brainly.com/question/16102577

Answer:

No solutions

Step-by-step explanation:

I hope my answer help you.

Answer:

Step-by-step explanation:

2 people make 2 bikes in 2 hours so  2 people can make 1 bike in 1 hour

So in 6 hours,  2 people can make 6 bikes.

So to make 12 bikes we need  2*2 = 4 people.

Answer:

Step-by-step explanation:

for vertex

x-2=0 gives x=2

when x=2,y=4

vertex (2,4)

axis of symetry

x-2=0

Answer:

forgive me i need points

Step-by-step explanation:

Answer:

7*7=49

Step-by-step explanation:

x2y

7*2*9

=129

7*9

=63

9*2

=18

7*2

=14

7*7

=49

Answer:

x = 4.5

Step-by-step explanation:

[tex]\frac{x}{3}[/tex] = 1.5 ( multiply both sides by 3 to clear the fraction )

x = 3 × 1.5 = 4.5

Answer:

x = -10

Step-by-step explanation:

-2x - 10y = 20 (plug y=0)

-2x = 20

x = 20/-2

x = -10

Answer:

5 1/4

Step-by-step explanation:

To convert into an improper fraction, we times the whole number by the denominator and then add the numerator. For the first number, it is 15/4 and the second number is 7/5. Then we multiply 15/4 and 7/5 to get 5 1/4.

Answer:

99/5

Step-by-step explanation:

CONVERT INTO:

33/4 x 12/5

MULTIPLY THE FRACTIONS:

(33x12)

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

5

CANCEL TERMS:

(33x3)

-----------

5

SIMPLIFY:

99/5

Answer:

Step-by-step explanation:

[tex] \frac{ {2x}^{2} - 7x - 4 }{ {x}^{2} - 5x + 4 } \\ \frac{ {2x}^{2} + x - 8x - 4 }{ {x}^{2} - x - 4x + 4} \\ \frac{x(2x + 1) - 4(2x + 1)}{x(x - 1) - 4(x - 1)} \\ \frac{(x - 4)(2x + 1)}{(x - 4)(x - 1)} \\ \frac{2x + 1}{x - 1} \\ [/tex]