What type of number is 12/3?
Choose all answers that apply:

A) Whole number

B) Integer

C) Rational

D) Irrational

Pls help it’s for a test

Answer:

n=4

Step-by-step explanation:

3n - (2+n) = 6

Distribute the minus sign

3n -2-n = 6

Combine like terms

2n-2 =6

Add 2 to each side

2n-2+2 = 6+2

2n = 8

Divide by 2

2n/2 = 8/2

n=4

Answer:

Slower trains: 123 km/h

Faster train: 134 km/h

Step-by-step explanation:

In order to solve this problem, one must know the following formula:

[tex]speed*time=distance[/tex]

The problem gives one the following information:

Let ([tex]speed_1[/tex]) represent the speed of the slower train and ([tex]speed_2[/tex]) represent the speed of the faster train.

One can form an equation, let (x) represent the speed of the slower train. Using the distance equation, one can state that the speed of each train times the travel time equals the distance. Since the trains met each other in (6) hours, and the combined distance traveled between the two trains is (1542 km); one can use this information to form an equation.

[tex](travel\ time)(speed_1)+(travel\ time)(speed_2)=distance[/tex]

Substitute,

[tex]6(x)+6(x+11)=1542[/tex]

Simplify, distribute, multiply every term inside of the parenthesis by the term outside of it. Then combine like terms,

[tex]6x+6x+66=1542[/tex]

[tex]12x+66=1542[/tex]

Inverse operations,

[tex]12x+66=1542[/tex]

[tex]12x=1476[/tex]

[tex]x=123[/tex]

Solve for the speed of the faster train. It is given that it is (11 km/h) faster than the slower train.

[tex]speed_1+11=speed_2\\123+11=speed_2\\134=speed_2[/tex]

Answer:

AB/AD = AD/AC

Step-by-step explanation:

From the triangle given, we can get the required expression to calculate CD using the altitude theorem as shown:

AB/CB = CB/DB (Hypotenuse/Adjacent side using the similar triangle ABC and CDB)

AB/AC = AC/AD (Hypotenuse/Opposite side using the similar triangle ABC and ACD)

BD/CD = CD/AD (Adjacent/Opposite side using the similar triangle BCD and ACD)

Hence the odd one out will be option C AB/AD = AD/AC (since there is no altitude CD in the expression)

Answer:

AB/AD = AD/AC

Step-by-step explanation:

Had it on my quiz

Answer:

-8

Step-by-step explanation:

what do you think, when you look at the examples given in the problem definition ?

don't you see the pattern, that f(x) = x+2 ?

f(1) = 1+2 = 3

f(2) = 2+2 = 4

f(3) = 3+2 = 5

so, if we follow this assumption, then

f(-10) = -10 + 2 = -8

Answer:

third one is a required answer.

x =2y

or

1/x=y

Answer:

Option 3, where x = 6, y = 3; x = 10, y = 5; x = 14, y = 7

Step-by-step explanation:

Step 1:  Define proportional relationship

According to Khan Academy, "proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other."

Step 2:  Find the proportional relationship

Looking at option 3, we see that x is always 2 times bigger than y.  This means as y increases, x is twice that amount.  So if y is 10, x would be 20 and so on.  Therefore, Option 3 is the correct answer.

Answer:  Option 3, where x = 6, y = 3; x = 10, y = 5; x = 14, y = 7

Answer:

5*2 +2*2 = s*2

s = 5.38

s = 5.4

Answer:

360

1080

Step-by-step explanation:

We can find the sum of the interior angles of any regular polygon by using this formula

(n - 2) * 180

where n = number of sides

For the square: the square has 4 sides

To find the sum of the interior angles we simply substitute 4 for n in the formula

Formula: (n - 2) * 180

Substitute 4 for n

(4 - 2 ) * 180

Subtract 4-2

2 * 180

Multiply

= 360

The sum of the interior angles of the first polygon is 360

For the second one:

We will repeat this exact process the only difference is the value of "n"

The polygon shown has 8 sides

So to find the sum of the interior angles we simply substitute 8 for n in The formula

Formula (n - 2) * 180

Substitute 8 for n

(8 - 2) * 180

Subtract 8 - 2

6 * 180

Multiply

= 1080

The interior angles of a 8 sided figure will add up to 1080

Answer:

if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)

y+2=-3(x-1)

y+2=-3x+3

y= -3x+3-2

y -3x+1

hope this helps

Answer:

y = -3x + 1

Step-by-step explanation:

(y -(-2)) = -3(x-1)

y+ 2 = -3x+ 3

y = -3x + 1

Answer:

Step-by-step explanation:

[tex]\displaystyle \ \Large \boldsymbol{} \frac{a-\sqrt{a} }{\sqrt{a}-1 } -\frac{\sqrt{a}+1 }{a+\sqrt{a} } :\frac{\sqrt{a}+1 }{a} = \\\\\\\frac{\sqrt{a}(\sqrt{a} -1 ) }{(\sqrt{a}-1) } -\frac{\sqrt{a}+1 }{\sqrt{a}(\sqrt{a}+1 )}\cdot \frac{\sqrt{a}\cdot \sqrt{a} }{\sqrt{a}+1 } = \\\\\\\sqrt{a} -\frac{\sqrt{a} }{1+\sqrt{a} } =\frac{a+\sqrt{a}-\sqrt{a} }{1+\sqrt{a} } = \\\\\\\frac{a}{\sqrt{a}+1 } \cdot \frac{\sqrt{a}-1 }{\sqrt{a}-1} } =\boxed{\frac{a\sqrt{a} -a}{a-1} }[/tex]

Answer:

Please show an image

Answer:

12/13

Step-by-step explanation:

sinX = opposite/hypotenuse = 12/13

Answer:

The width of the confidence interval based on the 784 women would be narrower than the  confidence interval based on the 327 women.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

From this, we have that the margin of error, and also the width, is inversely proportional to the sample size, that is, a larger sample size leads to a smaller margin of error and a narrower interval.

How would the width of the new confidence interval compare to the width of the  confidence interval based on the 327 women in the armed forces?

New interval: 784

Old interval: 327

Sample size increased, so the new interval will be narrower, and the correct answer is:

The width of the confidence interval based on the 784 women would be narrower than the  confidence interval based on the 327 women.

[tex]\\ \sf\longmapsto( 7x {}^{2} + 9x + 7)(9x - 4) \\ \\ \sf\longmapsto {7x}^{2} (9x - 4) + 9x(9x - 4) + 7(9x - 4) \\ \\ \sf\longmapsto 63x {}^{3} - 28 {x}^{2} + {81x}^{2} - 36x + 63x - 28 \\ \\ \sf\longmapsto {63x}^{3} + 53 {x}^{2} + 27x - 28[/tex]

Option d is correct

hipe it helps you...............

hipe it helps you...............

Answer:

0.0378

0.378

3.78

378

3780

Answer: 0.0378, 0.378, 3.78, 378, 3780

Step-by-step explanation:

Given that an Olympic diver starts at 7.5 m above the water, during her dive, she goes 1.5 m below the water, the vertical distance the diver travels is 9 meters.

To determine what is the vertical distance the diver travels the following calculation must be performed:

The initial height must be subtracted from the final height, in order to obtain the difference between the two heights.

Therefore, the vertical distance the diver travels is 9 meters.

Learn more about this topic in https://brainly.com/question/22089868?referrer=searchResults.

The vertical distance traveled by the Olympic diver is 6 m

The given parameters include:

The sketch of the Olympic diver's displacement is as follows;

                                   x₁ ---------- 7.5 m

                                         |

                                         |

                                         |

                                         |

                                    ----------- water surface

                                         |

                                         ↓

                                  x₂ ------------ 1.5 m below water surface

The vertical distance from x₁ to x₂  = 7.5 m - 1.5 m = 6 m

Therefore, the vertical distance traveled by the Olympic diver is 6 m

To learn more about distance visit: https://brainly.in/question/7482539

Answer:

see below

Step-by-step explanation:

The reason why an absolute value equation equal to zero only has one solution

We set the absolute value equation equal to ± the solution

±0 = 0  There is only one value for ±0 which is 0, therefore there is only one solution

Answer:

2nd and fourth one

Step-by-step explanation:

I just did it and if you look at both of them and if you look closely  they each have a negative and a positive

Answer:

Step-by-step explanation:

The shape cam be split into a triangle and a trapezoid

✔️Area of the trapezoid = ½(a + b)h

Where,

a = 12.5 ft

b = 16.7 ft

h = 11.6 ft

Plug in the values

Area of the trapezoid = ½(12.5 + 16.7)*11.6

Area of trapezoid = 169.36 ft²

✔️Area of the triangle = ½*b*h

b = 16.7 ft

h = 19.2 - 11.6 = 7.6 ft

Area of the triangle = ½*16.7*7.6

= 63.46 ft²

✔️Area of the shape = 169.36 + 63.46

= 232.82 ft²

[tex] \cos(θ) = \frac{6}{32} \\ θ = 79.19[/tex]

Answer:

57m^2

Step-by-step explanation:

First we need to find the area of both shaded and not shaded regions. Since we are solving area for 2-D images we will use the equation Area=length(with)

Shaded Region: 11(9)=99

Unshaded Region: 8(6)=42

Now we subtract the shaded region with the unshaded region to get an area of 57 Meters. Therefore the area of the shaded region is 57m^2

Answer: 57m^2 is the answer

(15×4)6÷6[{32÷4(7x2-15+5)}+3]

= -2

[ use BODMAS rule]

Answer:

a) 4 packages

b) 7000 g or 7 kg

Step-by-step explanation:

x is the number of 250g packages and y is the number of 750g packages.

2x = y

3(x + 2 x (750 : 250)) = 5(y - 2)

3(x + 6) = 5(y - 2)

3(x + 6) = 5(2x - 2)

3(x + 6) = 5(2(x - 1))

3(x + 6) = 5 * 2 * (x - 1)

3(x + 6) = 10(x - 1)

3x + 18 = 10x - 10

(3x + 18) + 10 = (10x - 10) + 10

3x + 28 = 10x

28 = 10x - 3x

28 = 7x

x = 28/7

x = 4

y = 2 * 4 = 8

(250 * 4) + (750 * 8) = 7000 g

Answer:

Length = 10.435 inches

Step-by-step explanation:

Let the length be l

Let the width be w

Since the length is 9 inches more than half the width.

Then;

L = 0.5w + 9

Perimeter of a rectangle is;

P = 2Lw

Thus;

P = 2w(0.5w + 9)

Since perimeter = 60

Then;

2w(0.5w + 9) = 60

w² + 18w = 60

w² + 18w - 60 = 0

From quadratic formula;

w ≈ 2.87 in

L = 0.5(2.87) + 9

L = 10.435 in

Answer:

Step-by-step explanation:

On a normal distribution table with z scores of 0 as the mean and the standard deviations going to the right and to the left, 1.9 on the normal curve where 3 is the mean falls at -.275 on the normal curve where 0 is the mean. I used the normal distribution z table for negative values to get that .39165 lies to the left of -.275, which means that 1 - .39165 of the data lies to the right.

The probability that the value is greater than 1.9 is .60835, or as a percentage, 60.835%.