Which equation is a function of x?

Answer:

12

Step-by-step explanation:

36= 2 × 2 × 3 × 3

60= 2 × 2 × 3 × 5

HCF(36, 60)= 2 × 2 × 3 = 12

12 is the greatest number that divides 36 and 60 without leaving a remainder​

Answer:

The answer is 41%.

Step-by-step explanation:

First, you have to find the total volume of the cylindrical flask using the formula. Then, you have to substitute the following values into the formula :

[tex]v = \pi \times {r}^{2} \times h[/tex]

[tex]let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 12[/tex]

[tex]v = 3.14 \times {3}^{2} \times 12[/tex]

[tex]v = 3.14 \times 108[/tex]

[tex]v = 339.12 {cm}^{3} [/tex]

Next, given that 200cm³ of liquid is poured into the cylinder. So in order to find the volume of flask that is not filled by liquid, you have to subtract :

[tex]v = 339.12 - 200 = 139.12 {cm}^{3} [/tex]

Lastly, you have to find the percentage :

[tex] \frac{139.12}{339.12} \times 100 = 41\% \: (near. \: whole \: number)[/tex]

Answer:

12   1/2

Explanation:

6  1/4 ÷ 2

= 25/4 × 2/2

= 25 × 2  ÷ 2

= 12  1/2

Answer:

75%

Step-by-step explanation:

There are 6 numbers that fit the rule, 1, 2, 3, 4, 6, 8. Since there are a total of 8 numbers, there is a 6/8 chance picking one or 75% chance.

Answer:

50%

Step-by-step explanation:

so the original fraction is 4/8 or 1/2 so it is 50%.

Answer:

Step-by-step explanation:

Mean is defined as the ratio of the total sum of all the given datas to the total number of data present. It is expressed mathematically as;

[tex]\overline x = \frac{ \sum Xi}{N}[/tex] where;

[tex]\overline x = mean\\Xi= individual \ data\\N = total\ amount\ of \ data[/tex]

Given N = 7

[tex]\overline x = \frac{15+12+5+14+4+4+6}{7}[/tex]

[tex]\overline x= \frac{60}{7} \\\overline x = 8.57[/tex]

The mean number of cousins is 8.57

Answer:

1/13 chance or roughly 7.7% chance.

Step-by-step explanation:

There are 4 Kings in a standard 52-card deck. If one King was to be pulled out, you'd get a probability of 4/52 chance of pulling a king. Simplified, 4/52 is  1/13 chance.

Complete Question:

You want to install a 1 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the​ walk? Use 3.14 for pi π.

Answer:

75.36 square yard

Step-by-step explanation:

From the question,

The diameter of this circular pool inside is 23 yd.

This means that the radius = Diameter/2 = 23yd/2 = 11.5 yd.

The formula for the area of a circle =

A = πr²

A = π(11.5)²

A =3.14 × 11.5²

A = 415.265 yd²

This is the Area of the inner circle.

We were told in the question also that he wants to install a walk of 1 yard

Hence, the radius of outer circle =

radius of inner circle +length of the walk

11.5yard + 1 yard

= 12.5 yard

A = πr²

A = 3.14 × (12.5)²

A = 490.625yd²

Area of the walk = Area of the Outer circle - Area of the inner circle

= (490.625 - 415.265)yd = 75.36 yd²

Therefore, the area of the walk is 75.36 square yards.

Answer:

2,973 in^3

Step-by-step explanation:

3000- large section

27- smaller center cut-out

Answer:

2973 in³

Step-by-step explanation:

volume of cuboid - volume of cube

20*15*10 - 3³

3000 - 27

= 2973

The volume of the aquarium is 2973 in³.

Answer: x=5 and 1/2

Step-by-step explanation:

You have to go to a graph and put it simply it, makes it a lot easier, hope this helps!

Steps to solve:

2x^2 + 5 = 11x

~Subtract 11x to both sides

2x^2 - 11x + 5 = 0

~Factor

(2x - 1)(x - 5) = 0

~Solve each factor

2x - 1 = 0

2x = 1

x = 1/2

x - 5 = 0

x = 5

Best of Luck!

Answer:

The expected value is also known as the expectation, mathematical expectation, mean, average, or first moment.

Answer:

Step-by-step explanation:

The given data is

Male female total

Democrat. 600 600 1200

Republican 500 300 800

other 122 100 222

total. 1222 1000 2222

The total number of people (males and females) that voted is 2222. The total number of people that did not vote Republican or Democrat but voted "other" instead is 222

Therefore, the percentage of all voters that did not vote Republican or Democrat but voted "other" instead is

222/2222 × 100 = 9.990990999099

Rounding up to the nearest tenth of a percent, it becomes 10.0

Answer:   A review of voter registration in a small rural town revealed the following:

Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "Other" instead.

22%

25%

222%

10% this is right

Step-by-step explanation:

Answer:

Decreases by 2 degrees

Step-by-step explanation:

The expression that describes temperature as a function of latitude is:

[tex]T=110-2(Latitude)[/tex]

This equation represents a linear relationship between latitude and temperature in a way that an increase in latitude causes a decrease in temperature. The magnitude of this decrease is quantified by the slope of the linear equation, which is -2. Therefore, the estimated temperature decreases by 2 degrees when latitude is increased by one.

Answer:  A) ΔABD ≡ ΔECD

Step-by-step explanation:

Match up the letters of the congruent sides.

AD = ED      and    BD = CD

A D                        B D           →     ABD

E D                        C D           →     ECD

This can be written in any order as long as the letters are matched properly.   A & E,   D & D,   B & C

ADB          or        BDA       or     ...

EDC                      CDE

The only correct option provided is option A.

Answer:

Answer is option 1)

Answer is given below with explanations.

Step-by-step explanation:

[tex]triangle \: ABD \: and \: triangle \:ECD \: are \: congruent \\ length \: of \: BD \: = \: length \: of \: CD \\ \: and \: also \\ length \: of \: AD = length \: of \: ED \\ angle \: BDA \: = \: angle \: CDE \\ by \: \: side \: - angle - side \: postulate \\ triangle \: ABD \: and \: triangle \:ECD \: are \: congruent.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

33.33%

Step-by-step explanation:

use a proportion

20/60 =10/30=1/3=33.333%

hope this helped!

Answer:

357 mi²

Step-by-step explanation:

The shape is made of a triangle and a half-square

we will calculate the area of each one

let A1 be the area of the half-circle:

A1= (10²*π)/2 = 50π mi²

Let A2 be the area of the triangle:

A2= 10*20=200 mi²

let At be the total area:

At =A1+A2= 200+50π =357.07≈ 357 mi²

Answer:

Two Portions!!!

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

(+3 + (+2))

Remove the brackets.

3 + (+2)

3 + 2

Add the numbers.

= 5

Answer:

+5 or 5

Step-by-step explanation:

(+3)+(+2)

=> According to the rule, ( + )( + ) = ( + )

So,

=> +3+2

=> +5

Answer:

2.24 s

Step-by-step explanation:

Given:

Δy = 80 ft

v₀ = 0 ft/s

a = 32 ft/s²

Find: t

Δy = v₀ t + ½ at²

80 ft = (0 ft/s) t + ½ (32 ft/s²) t²

t = 2.24 s

Answer:

Step-by-step explanation:

x - 1/2 =0

2x = 1

4x = 2

Answer:

x + 3 = 7/2

100x = 50

16/x = 24

Step-by-step explanation:

The value of x is 1/2 in the three equations.

Answer:

6/5

Step-by-step explanation:

you have to flip the numerator and denominator. If it is 5/6 then it would be 6/5.

The reciprocal fraction that is required will be 31/26.

A fraction is a numerical number that is represented in the numerator and denominator form.

We have Two mixed fractions, the First fraction = 4(1/3) and the Second fraction =  5(1/6).

Now,First, convert mixed fractions into simple fractions,i.e.First fraction  = 4(1/3) = 13/3And,Second fraction = 5(1/6) = 31/6

Now, According to the question,

Divide First fraction by Second fraction;i.e.= (13/3) / (31/6)Now simplify,= ( 13 × 6) / (31 × 3)

Now, We get,= 26/31

So, the reciprocal fraction = 31/26.

Hence we can say that the reciprocal fraction that is required will be 31/26.

To learn more about fractions click here,https://brainly.com/question/10354322

#SPJ2

Answer:

  3, 8, 13, 18, 23

Step-by-step explanation:

The recursive definition tells you the first term is 3, and that each successive term is 5 more than the one before. 5 terms are ...

  3, 8, 13, 18, 23

Answer:

x^2-3x-54

Step-by-step explanation:

Once again FOIL is the way to go!

First, Outside, Inside, Last

x^2-3x-54

Answer:

[tex]x^2-3x-54[/tex]

Step-by-step explanation:

=> (x+6)(x-9)

USING FOIL

=> [tex]x^2-9x+6x-54[/tex]

=> [tex]x^2-3x-54[/tex]

Answer:

πd or 2πr

Step-by-step explanation:

To calculate the circumference of a circle, multiply the diameter of the circle by pi or multiply 2 times the radius times pi.

Hope that helps.

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               Hi my lil bunny!

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Write down the formula for finding the circumference of a circle using the diameter. The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi. Plugging π into your calculator will give you its numerical value, which is a closer approximation of 3.14 or 22/7.

                                            ` OR `

Plug the given value of the diameter into the formula and solve.[2]

Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug π into your calculator for its numerical value, and solve for the circumference:

C = πd

C = π x 20

C = 62.8 feet

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer: 1,365 possible special pizzas

Step-by-step explanation:

For the first topping, there are 15 possibilities, for the second topping, there are 14 possibilities, for the third topping, there are 13 possibilities, and for the fourth topping, there are 12 possibilities. This is how you find the number of possible ways.

15 * 14 * 13 * 12 = 32,760

Now, you need to divide that by the number of toppings you are allowed to add each time you add a topping.

4 * 3 * 2 * 1 = 24

32,760 / 24 = 1,365

There are 1,365 possible special pizzas

Using the combination principle, the number of special pizzas from which to choose from is 1365

Using Combination :

nCr = [(n! ÷ (n - r)! r!)]

15C4 = [(15! ÷ (15 - 4)! 4!)]

15C4 = [(15! ÷ 11!4!)]

15C4 = (15 × 14 × 13 × 12) ÷ (4 × 3 × 2 × 1)

15C4 = 32760 / 24

15C4 = 1365

Therefore, 1365 different special pizzas can be made.

Learn more : https://brainly.com/question/19120549

Answer:

D. -5 <= x < 1

Step-by-step explanation:

the values under the square-root radical must not be negative, AND

the value of the denominator must not be 0 or negative

x+5 >=0  or x >= -5

and 1-x > 0 or x < 1

So the answer is -5 <= x < 1

Answer:

n > 1700

Step-by-step explanation:

n ÷ 4 – 125 > 300

Add 125 to both sides.

n ÷ 4 > 425

Multiply both sides by 4.

n > 1700

Answer:

n > 1700

Step-by-step explanation:

n ÷ 4 - 125 > 300

Add 125 to both parts.

n ÷ 4 > 300 + 125

n ÷ 4 > 425

Multiply both sides with 4.

n > 425 × 4

n > 1700

Answer:

(B)24 Units

Step-by-step explanation:

Triangle MNO is an equilateral triangle with sides  measuring [tex]16\sqrt{3}[/tex] units.

The height divides the base into two equal parts of lengths [tex]8\sqrt{3}[/tex] units.

As seen in the diagram, we have a right triangle where the:

Using Pythagoras Theorem

[tex](16\sqrt{3})^2=(8\sqrt{3})^2+h^2\\16^2*3-8^2*3=h^2\\h^2=576\\h=\sqrt{576}\\ h=24$ units[/tex]

The height of the triangle is 24 Units.

The height of the given equilateral triangle is gotten as;

B: 24 units

Equilateral Triangles

The height of an equilateral triangle starts from the mid - point of the base to the ap ex.

Now, if the sides of the equilateral triangle are 16√3 units, then it means we can use pythagorean theorem to find the height h.

Half of the base will be; ¹/₂ * 16√3 = 8√3

Thus, the height h can be calculated from;

h²= ((16√3)² - (8√3)²)

h² = 3(256 - 64)

h² = 576

h = √576

h = 24 units

Read more about equilateral triangles at; https://brainly.com/question/4293152

Answer:

No of rooms in Hotel G = 280

No of rooms in Hotel H = 145

Step-by-step explanation:

I solved the question using Elimination Method.

Explanation:

The sample proportion 0.617 is at the exact midpoint of the interval from  0.572 to 0.662

We can confirm this by applying the midpoint formula.

The distance from the center (0.617) to either endpoint will be the margin of error. In other words, it is half the width of the confidence interval

L = lower boundary of confidence interval = 0.572

C = center of confidence interval = 0.617

U = upper boundary of confidence interval = 0.662

We have three methods to find the confidence interval

Each yielding the same result of 0.045

With the third method, you don't need to know the center of the confidence interval.