I need help with rational and irrational numbers here is the question.

Select all true statements about the square root of 2.

-It is a real number.
-It is an irrational number.
-It is a rational number.
-It is an integer.
-It is not a real number.

The equation for the nth term of the arithmetic sequence is  -6n + 14 and the found 50 is -286.

An arithmetic sequence is a series of numbers that are ordered and share a common difference between each succeeding term. In the arithmetic sequence 3, 9, 15, 21, 27, for example, the common difference is 6.

Arithmetic is the branch of mathematics that studies numbers by performing various operations on them. A sequence is a numerically ordered list. The three dots indicate that the pattern should be continued. The difference is six.

a + d(n - 1)

a = 8 (first term)

d = -6 (common difference)

8 - 6(n - 1)

= 8 - 6n + 6

= -6n + 14

Find a 50:

-6(50) + 14

= -300 + 14

= -286

Therefore, the equation for the nth term of the arithmetic sequence is  -6n + 14.

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When completing the square, the goal is to create

a perfect square trinomial on the left side of the equation.

The number used to create one will come from

half the coefficient of the middle term squared.

In this case, that's half of 2 squared or 1 squared, which is 1.

So we add 1 to both sides giving us x² + 2x + 1 = 5.

From here, we set this as a binomial squared.

The first term is an x and the second term will

be half the coefficient of the middle term squared.

So we have (x + 1)² = 5.

Now square root both sides and remember to use plus or minus.

So we have x + 1 = ±√5.

Now subtract 1 form both sides to get x = -1 ± √5.

Greetings from Brasil...

According to the statement of the question, we conclude that the area of a square is requested, whose value is 171 in²

The area of a square is given by the expression:

A = S²

where S is the side of the square - just what we want to know

So:

A = S²

171 = S²

√171 = S

T = 464.

8 times 58 = 464, so we do inverse operations

Answer: Use inverse operations to isolate the t; (multiplication.)

t/8 * 8 = t

58 * 8 = 464

The equation now looks like this:

t = 464

There is nothing left to simplify, so this is your answer.

Hope this helps!

Answer:

Hey there!

I'm sorry, but your friend is right.

It is the difference between -40 and 12, which is 52.

Let me know if this helps :)

Answer: The Athletic can other 12  volleyballs.

Step-by-step explanation:

If the director has $277 to spend then it means The director can spend at most $277.

Now one volleyball cost $22 and so we could represent the number of volleyballs you can buy by the expression 22x  and including the shipping fee,we will extend the expression to 22x + 13  Now since the Director can spend  up to $277 or less we can write the whole situation in a form of inequality as,

22x + 13 ≤ 277  Now solve for x to determine the number of volleyballs  

          -13   -13

22x  [tex]\leq[/tex] 264

x [tex]\leq[/tex] 12  

☆ We know that angles of triangle opposite of its equal sides are also equal

Here the information that we know about the given triangle is

So the angles opposite to the equal sides will be equal .

→ So one of those equal angle is x so other will also be x .

☆ Interior angle sum property states that sum of interior angles of triangle will be 180°

→ 80° + x + x = 180°

→ 2x = 180°-80°

→ 2x = 100°

→ x = 100/2

→ x = 50° .

The value of x in the triangle is 50°.

We have,

The given triangle is an isosceles triangle.

This means,

There are two equal sides and the angles opposite to the equal sides are also equal.

Now,

The sum of the three angles in a triangle is 180.

So,

80 + x + x = 180

80 + 2x = 180

2x = 180 - 80

2x = 100

x = 100/2

x = 50°

Now,

We can cross cheked.

80 + 50 + 50

80 + 100

180

True.

Thus,

The value of x in the triangle is 50°.

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Answer:

( 3/2, 12) is the midpoint

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates together and divide by 2

( -5+8)/2 = 3/2

To find the y coordinate of the midpoint, add the y coordinates together and divide by 2

( 5+19)/2 = 24/2 = 12

( 3/2, 12) is the midpoint

Answer:

-5x-1

Step-by-step explanation:

5x+- 4(x + 5) +19 - 6x

Distribute

5x -4x -20 +19 -6x

Combine like terms

-5x-1

Answer:

Step-by-step explanation:

[tex]5x+- 4(x + 5) +19-6x\\5x +(-4x-20)+19-6x\\\\5x -4x-20+19-6x\\\\Add \:similar\:elements\\5x-4x-6x-20+19\\\\=-5x -1[/tex]

Hello!

Answer:

[tex]\huge\boxed{x = -32}[/tex]

3/4x = -24

To isolate the "x" variable, divide both sides by 3/4 (multiply by its reciprocal, or 4/3)

3/4x · 4/3 = -24 · 4/3

x = (-24 · 4) / 3

x = -32.

Answer:

x = -32

Step-by-step explanation:

To solve an equation with a fraction, we multiply by the denominator on both sides of the equation and then solve like a normal algebraic equation.

3/4x = -24 Multiply by 4 on both sides of the equation.

4(3/4)x = -4(24) Distribute.

3x = -96 Divide by 3 on both sides of the equation.

x = -32

Answer:

[tex]\frac{6}{y}[/tex]

Answer:

6/y.

Step-by-step explanation:

If the number is y then the expression 6/y.

Answer:

3.4561 and 3.4562

Step-by-step explanation:

there are uncountable infinitely many numbers...

Answer:

Answer is 3.456 , 3.456.

Step-by-step explanation:

3.456=3.4560

3.457=3.4570

then numbers between 3.45610 and 3.4570

is - 3.4561 , 3.4562 , ..........., 3.4570

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Answer:

5th root (27)

Step-by-step explanation:

27 ^ 1/5

=> 5th root of 27^1

=> 5th root (27)

Answer:

5th root (27)

Answer:

Just count the number of zeros:

Step-by-step explanation:

There are 4 zeros, so the answer is 5 x 10^4.

Answer:

5 * 10^4

Step-by-step explanation:

In scientific notation, the amount an exponent has indicates how many zeroes are there.

Since we see four zeroes in the number 50,000

The only equation that would fit is of course 5 * 10^4

Answer:

7.814 * 10^6

Step-by-step explanation:

Move the decimal point (which is at the end of the number) six places to the left so that you have one non-zero digit to the left of the decimal point. The number of places it is moved to the left is the exponent. Since it is moved to the left it is a positive exponent.

Earth is 4:1 and moon is 1:4of earth

Answer:

lesser x =3

greater x =4

Step-by-step explanation:

f(x) = (x - 3)(2x - 8)

Set the function equal to zero to find the zeros

0  = (x - 3)(2x - 8)

Using the zero product property

0 = (x - 3)   0=2x - 8

Solve each  equation

3 = x          8 =2x

3=x            8/2 =x

                      4=x

lesser x =3

greater x =4

Answer:

B

Step-by-step explanation:

25.4

The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.

The mean of average is the ratio of the sum of observations and the number of observations.

Janette was timed by a store manager as she folded and stored a scarf, a shirt, a pair of trousers, and a jumper. Her time for the shirt was 26.1 seconds, the jumper 24.3 seconds, the trousers 32.8 seconds, and the scarf 18.2 seconds.

The average time Janette to fold and put away all four items will be given as,

Average = (26.1 + 24.3 + 32.8 + 18.2) / 4

Average = 101.4 / 4

Average = 25.35

The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.

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Answer:

9.6

Step-by-step explanation:

Plugging in the info given, we get:

2(4) - (2/5)(-4) = 8 - (-8/5) = 8 + 8/5

From here, you need to make the denominators of both numbers the same in order to combine them further. Currently, as a fraction, it looks like this:

8/1 + 8/5

To make the denominators the same we can just multiply 8/1 by 5/5 (this is the same as multiplying by 1, which essentially allows us to change it's form without changing its value). Doing that gives:

(8/1)(5/5) + 8/5 = (8•5)/5 + 8/5 = 40/5 + 8/5

= (40+8)/5 = 48/5

So 48/5 is the answer. But the website wants you to put it into decimal form. This can be done using a calculator, but let's pretend we don't have one...

Decimals work by using whole numbers divided by multiples of 10 and can be visualized as moving a decimal left (or right) between numbers. For example:

1/10 = 0.1

4/10 = 0.4

23/10 = 2.3

13/100 = 0.13

59/1000 = 0.059 and so on.

So if we can multiply 48/5 by something to make the denominator some multiple of 10, we can simply move the decimal left once and that's our answer. 2/2 should work here:

(48/5)(2/2) = (48•2)/(5•2) = 96/10 or 96.0/10

96.0/10 = 9.6

So your decimal answer is 9.6.

Answer:

To understand this, bags of gas added make it go up, while bags of sand added make it go down:

1). Add bags of gas | balloon goes UP | 3 bags of gas ( +3 ), 10 bags of sand ( +10 )

2). Add bags of sand | balloon goes DOWN | 3 bags of sand ( -3 ), 10 bags of sand ( -10 )

3). Subtract bags of gas | balloon goes DOWN | subtract 3 bags of gas - ( +3 ), subtract 10 bags of gas - ( +10 )

4). Subtract bags of sand | balloon goes UP | subtract 3 bags of sand - ( -3 ), subtract 10 bags of sand - ( 10 )

Answer:

- 18x - 45

Step-by-step explanation:

=  12 (-2x + 3) - 3x + 9 (x - 9)

=  -24x + 36 - 3x + 9 (x - 9)

=  -24x + 36 - 3x + 9x - 81

=  -24x + 8x + 36 - 81

=  - 18x - 45

Answer:

Step-by-step explanation:

First, distribute,

12(-2x+3)-3x+9(x-9)

-24x+36-3x+9x-81

Now combine like terms,

Therefore, the answer is -18x-45

Answer:

Train P : [tex]t_{P} =\frac{330}{55}=6\ \text{hours}[/tex]

Train Q : [tex]t_{Q} =\frac{330}{55}+\frac{1}{2}=6\ \text{hours}\ 30\ \text{minutes}[/tex]

Step-by-step explanation:

The formula to compute the distance traveled by a train is:

[tex]d=s\times t[/tex]

Here,

d = distance traveled

s = speed of the train

t = time taken

From the provided information:

Train P :

d = 330 km

s = x km/h

Then time taken is:

[tex]t=\frac{d}{s}=\frac{330}{x}[/tex]

Train Q :

d = 330 km

s = (x - 5) km/h

[tex]t=\frac{330}{x}+\frac{1}{2}[/tex]

Both the trains traveled the same distance.

[tex]x\times \frac{330}{x}=(x-5)\times [\frac{330}{x}+\frac{1}{2}]\\\\330=\frac{330(x-5)}{x}+\frac{x-5}{2}\\\\330\times 2x=[660(x-5)+x(x-5)]\\\\660x=660x-3300+x^{2}-5x\\\\x^{2}-5x-3300=0\\\\x^{2}+60x-55x-3300=0\\\\x(x+60)-55(x+60)=0\\\\(x-55)(x+60)=0\\\\x=55[/tex]

Compute the time taken by the two trains as follows:

Train P : [tex]t_{P} =\frac{330}{55}=6\ \text{hours}[/tex]

Train Q : [tex]t_{Q} =\frac{330}{55}+\frac{1}{2}=6\ \text{hours}\ 30\ \text{minutes}[/tex]

Answer:

4.79

Step-by-step explanation:

4.79 is reasonable for the problem

The price of one paint set before the sale is $4.79

We are expected to determine the price of one paint set before the sale.

From the information given:

∴

The amount at which Yuri bought 1 paint set is:

[tex]\mathbf{= \dfrac{\$6.88}{2.0}}[/tex]

= $3.44

Recall that during the sale, the store reduce the price of each paint set by $1.35

Therefore, the price of one paint set before the sale is = $3.44 + $1.35 = $4.79

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Answer:

$738

Step-by-step explanation:

Uber X costs $40

Max orders 9

$40.00·9=$360.00

Uber XL costs $63

Max orders 6

$63.00·6=$378

$360.00+$378.00=$738

Hope this is helpful :-)

Answer:

Bella's average velocity is approximately 0.61 m/s.

Step-by-step explanation:

To find velocity, we divide displacement (in this case, the same as the distance Bella traveled) by the time taken to travel this displacement.

Velocity = displacement/time

If we plug in the given values, we get:

Velocity = 2.5m/4.1s

Velocity = 0.6097561 m/s

Therefore, the correct answer is about 0.61 m/s.

Answer:

w = 3

Step-by-step explanation:

-6(w - 4) + 8W=6(w + 2)​

-6w + 24 + 8w = 6w + 12

2w + 24 = 6w + 12

12 = 4w

3 = w

Answer:

w=3

Step-by-step explanation:

-6(w - 4) + 8W=6(w + 2)

-6w + 24 + 8W=6w + 12

24 + 2W=6w + 12

12=4w

3=w

Answer:

So the width is 3.25

Step-by-step

If the perimeter of a rectangle is 300 and the length is two times the  

width, what are the length and the width?

*Please don't get upset if this is incorrect, I am in 9th grade and I have severe dyslexia and dyscalculia*

:)