the mean of a set of numbers is 120. if one number is increased by 300, the mean increases to 135. how many numbers are in the set?

(x+x/2)*3=105 is the equation for "three times the sum of a number and half the number equals 105."

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical sentence with two equal sides separated by an equal sign is called an equation. 4 + 6 = 10 is an example of an equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

Three more than twice the sum of a number and half the number equals 105,

The equation will be,

(x+x/2)*3=105

The equation for "Three more than twice the sum of a number and half the number equals 105" will be (x+x/2)*3=105.

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3 of 7 in percentage with rounding is 42.86%

Percentage is a way of expressing a number as a fraction of 100. It is often used to express how much of something there is compared to the total amount.

For example, if you have 20 apples and the total number of apples is 100, you can express the fraction of the total number of apples you have as a percentage. That is 20/100 = 0.2, which is equal to 20%.

In order to write 3 of 7 as a percent, we can say:

3/7 × 100 = 42.86%

Thus, with rounding 3 of 7 is 42.86%

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Complete Question

3 of 7 percent with rounding  =  ___ %

Answer:

It looks like you have an inequality equation with one variable, but the equation is incomplete. In order to solve the inequality, we need to have a complete equation with a left-hand side and a right-hand side.

For example, if we wanted to solve the inequality 8y - 5 < 3, we could complete the equation by adding 5 to both sides:

8y - 5 + 5 < 3 + 5

8y < 8

Then, we could divide both sides of the inequality by 8 to solve for y:

8y/8 < 8/8

y < 1

Therefore, the solution to the inequality 8y - 5 < 3 is y < 1.

Rolling a 5 on one die and rolling a 5 on a second die and Choosing a cookie from the cookie jar and choosing a jack from a deck of cards are the independent events.

What is independent events?

Winning a hockey game and scoring a goal is dependent because if we score a goal then only we can win the game.

Hence, Rolling a 5 on one die and rolling a 5 on a second die and Choosing a cookie from the cookie jar and choosing a jack from a deck of cards are the independent events.

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The  distance between the shortstop and the pitcher calculated as per the given data is 63.6.

Distance between two consecutive bases = 90 feet

Halfway distance between them will be = 45 feets

therefore, halfway distance between first base and second base = 45 feet

and that between second base and third base = 45 feet

So the distance between the  shortstop and the pitcher using pythagoras theorem

= >SP² = PQ² + QS²

           = 45²  + 45²

            =4050

SP = 63.6

Therefore , the required distance is 63.36feets.

The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle

In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. We can derive the base, perpendicular, and hypotenuse formulas using this theorem.

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He utilized about 39.9 KG of clay per pot, or 38% of the 315 KG of clay, using 119.7 KG for 3 pots.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. Percentage, a relative value indicating hundredth parts of any quantity, is a relative value that indicates how many questions on a test you correctly answered out of 100 (75/100). Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Here,

Weight of clay=315 KG

Weight of clay he used,

=38%*315

=119.7 KG

Number of pots=3

Clay used in each pot,

=119.7/3

=39.9 KG

He used around 39.9 KG of clay to make each pot using 119.7 KG of clay for  3 pots out of 38% of 315 KG of clay.

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(2, 1,985.5) is not a solution of the equation y = 2200(0.95)x.

What is solution of an equation?

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Consider, the given equation

y = 2200(0.95)x

And the point given is, (2, 1985.5).

From this x = 2, y = 1985.5

Plug x = 2 in the above equation,

y = 2200(0.95)(2)

y = 4180 ≠ 1985.5

Hence, the given point (2, 1985.5) is not a solution to the equation

y = 2200(0.95)x.

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The standard deviation of the team members' heights is 2.35.

A z-score is a number that indicates how far an observation deviates from the mean and in which direction.

A z-score is a common name for a standardized number.

The standardized value of x is: If x is an observation from a distribution with known mean and standard deviation :

z = (x - mean) / Standard Deviation

Given in question,

z = -0.85

x = 74

mean = 76

Let the Standard deviation be s.

By putting the values in the equation,

-0.85 = (74 - 76)/s

s = -2/-0.85

  = 2/0.85

  = 2.35

Hence, the standard deviation of the team members' heights is 2.35.

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Answer: 4ft/s

Step-by-step explanation:

I think

2 + 6 = 8

8 / 2 = 4

The Function value of f(-2) is -4

What are Function?

Exactly each element of Y is assigned to each element of X in a mathematical function from the a set X to a set Y. Both the set X as well as the set Y are referred to as the function's domain and codomain, respectively. Al-Biruni as well as Sharaf al-Din al-Tusi were two Persian mathematicians who are credited with developing the earliest known method for approaching the concept of function. The original conception of functions was the relationship between varying quantities and other variables. An illustration of this is how time affects a planet's position. The idea was developed historically at the conclusion of the 17th century with the development of infinitesimal calculus, and up to until nineteenth century, the functions taken into consideration were differentiable.

Solution:

Given: f(x) = 3x + 2

To find: Value of f(-2)

To solve this problem we will simply replace the value of x in Function with -2

f(-2) = 3*(-2) + 2

f(-2) = -6 + 2

f(-2) = -4

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Answer:

1/3

Step-by-step explanation:

rise/run is rate of change

Answer:

33

Step-by-step explanation:

                                              Difference from

Day     Number of apples      previous day              

1           1                                   -

2          2                                  1

3          3                                  1  

4          5                                 2

5          7                                 2

6          9                                 2

7           12                               3

8           15                               3

9           18                               3

10          22                             4

11           26                             4

12         30                              4

13          35                             5

14          40                             5

15          45                             5

16          51                              6

17           57                            6

18           63                            6

19           70                            7

20          77                             7

21           84                            7

The differences between consecutive days started at 1, then 2, then 3, etc. The last day of any specific difference is a multiple of 3.

For example, day 3 was the last day of a difference of 1.

Day 6 was the last day of a difference of 2.

Day 9 was the last day of a difference of 3.

Day 12 was the last day of a difference of 4.

In each case, 6/2 = 3; 9/9 = 3; 12/4 = 3.

99 is a multiple of 3, so it will be the last day with a difference of 99/3 = 33

Answer: 33

The linear function that relates your distance to the number of seconds is y = Sx, and the graph is attached below.

A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.

The formula for distance covered is given by,

[tex]Distance = Speed \times time[/tex]

Assume the speed is constant,

D = S × t

Assume distance is in y direction and time is in x direction, the equation can be written as,

y = Sx

Suppose my speed of mine is 5 m / s and the speed of my friend's is 10 m/s then the function of distance for my friend,

Y = 10X

And for me

y = 5x

The graph of this is attached below, the red line in the graph is my distance equation and the green line is of my friend.

Therefore, the linear function that relates your distance to the number of seconds is y = Sx.

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The value of the x in g(h(x)) = 4 is 4 if the g⁻¹(4) = 2 and at x = 4 h(x) = 2 option (C) is correct.

The correct value of x when g(h(x)) = 4 is,

⇒ x = 4

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The relation is,

g (h (x)) = 4

Now, Substitute x = 4;

LHS;

g (h (x)) = g (h (4))

            = g (2)

           = 4

Thus, The correct value of x when g(h(x)) = 4 is,

⇒ x = 4

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Answer:

Step-by-step explanation:

1)Option A)

2)Option B)

Answer:

Triangle perimeter = 12 + x + (x - 4) = 26 which is the equation you can use to find out the value of x.

Step-by-step explanation:

Answer:  [C]:  " 46 units ."
______

Step-by-step explanation:

The question (and corresponding image) asks:
 " If B is the midpoint of AC, find the length of AC. "

Note:  
    The midpoint refers to the point in the middle of the line [segment].

In this particular question:
⇒ The line segment; AC  is divided into 2 (two) equal segments of the same length:
  AB = (x + 13) ;  and:

  BC = (2x + 3) ;  {as per 'posted image'} ;
We  are asked to find the length of AC.

[length of AB] + [length of BC] = [length of AC].

            (x + 13) +  (2x + 3)  = [length of AC; for which we solve] :

We shall solving for x ; & then plug in the value to solve.
Note:
   [length of AB] =  [length of BC] ;  Plug in our known values:
⇒ that is;  (x + 13) = (2x + 3) ;

So, we have:  " x + 13  = 2x + 3 "

_____________________

 " x  +  13  =    2x  +  3    "  ;

− x   −  3   =   − x   −  3   "   ;

_____________________
  0  +   10  =     x   +  0 ;

  →  "  10 = x  " ;

       ↔  {Note: According to the "symmetric property" algebra:
                "a = b " ; then " b = a"};

  →  " x = 10 " ; {according to the "symmetric property of alm
__________________
Another method:
 When we have:
 " x  +  13  =   2x  +  3  " ;

→ Subtract each side of the equation by x ; & subtract each side of the equation by 3 ;  

to isolate x on one side of the equation —
  [in this case, the 'right-hand' side of the equation];

and to solve for x ; as follows:
  " x  +  13  =  2x + 3 ";

Now; for each side of the question—on a separate 'left-hand' side; and: on a separate 'right-hand' side basis; we can combine the 'like terms' and simply:
 For the left-hand side:
   "  x  +  13  − x − 3 " : Combine the 'like terms":
   + x −  x  =  0 ;  [that is: " +1x − 1x = 0"];
  + 13 − 3 = + 10 ;  We have:  " 0 + 10 = + 10 ".    

Now, For the right-hand side:
  " 2x  +  3  − x − 3 " :  Combine the 'like terms'; as follows:

     " + 2x  − x  = x " ; {that is:  " +2x − 1x = 1x = x "} ;

     " + 3  − 3  " =  0 " .   " x + 0 = x "    

        So: [left-hand side = right-hand side] ;

             →    10 =  x ;  ↔ " x = 10 ."

Both methods result in the same value for x ; that is:  x = 10 ; which happens to suggest credibility.

Now, to find the length of AC ; which equals:
 →   " x + 13 + 2x + 3 " ;
Then, we plug in our calculated value; 10 —for the values of x ;
 and solve!

→  " 10 + 13 + (2*10) + 3 "  =  " 10 + 13 + 20 + 3 "  =  " 46 units ".

⇒ which corresponds to the correct answer:  [C]:  " 46 units."

_______
Hope this answer with explanation is helpful.

 Best wishes!
_______

Answer:

I belive it would be 102

Step-by-step explanation:

Answer:

306 cm

Step-by-step explanation:

the opposite side is the same as the shaded side

18 x 17 = 306 cm

Answer:17cm x 19cm

Step-by-step explanation:

Answer: length is 19 inches  

               width is 17 inches

Step-by-step explanation:

Let the length and the width are x>0 and (x+2)>0

Hence,

x(x+2)=323

x²+2x=323

x²+2x-323=0

x²+(19x-17x)-323=0

(x²+19x)-(17x+323)=0

x(x+19)-17(x+19)=0

(x+19(x-7)=0

x+19=0

x=-19∉ (x>0)

x-17=0

x=17 inches

x+2=17+2

x+2=19 inches

Answer:

V = 5πX^2 + 50πX + 75π

Step-by-step explanation:

The volume of a cylinder with radius r and height h is given by the formula:

V = πr^2h

Substituting the values for the radius and height of the cylinder in this formula, we get:

V = π(5X + 5)^2(5X + 3)

This can be written in standard form as:

V = 5πX^2 + 50πX + 75π

So, the polynomial in standard form that best describes the total volume of the cylinder is:

V = 5πX^2 + 50πX + 75π

The weighted arithmetic mean price per ton is $72.33

Given that, a purchasing agent placed the three orders for coal. tons of coal 1,200 3,000 500 price per ton $28.50, $87.25 and $88.00, we need to find the weighted arithmetic mean price per ton,

So, the mean = 28.50x1200+87.25x3000+88x500 / 1200+3000+500

= 339950 / 4700 = 72.33

Hence, the arithmetic mean price per ton is $72.33

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Answer:

Step-by-step explanation:

Answer:

  82.4 mg/mm²

Step-by-step explanation:

You want to convert 8.24 g/cm² to units of mg/mm².

Multiply by the conversion factors that cancel the unwanted units, leaving the wanted units.

  [tex]\dfrac{8.24\text{ g}}{\text{cm}^2}=\dfrac{8.24\text{ g}}{\text{cm}^2}\cdot\dfrac{1000\text{ mg}}{\text{g}}\cdot\left(\dfrac{1\text{ cm}}{10\text{ mm}}\right)^2=\dfrac{8.24\cdot1000\text{ mg}}{100\text{ mm}^2}\\\\=\boxed{82.4\text{ mg/mm$^2$}}[/tex]

The speed of a point on the rim  is 2.44 m/s.

What is a quick answer for diameter?

The diameter is the distance along the circle's center that must travel in order to touch two points on its edge.

First convert diameter into radius

r = d/2 = 0.08/2 = 0.04 m

The moment of inertia of disc is given by

I = 0.5mr²

Where m is the mass and r is the radius of the disk

I = 0.5(0.1)(0.04)²

I = 0.00008 kg.m²

and since we are dealing with rotational motion then rotational kinetic energy is given by

E  =  0.5 I ω²

we have to separate ω

ω² = E/0.5 I

ω = √E/0.5 I

ω = √0.15/0.5(0.00008)

ω = 61.23 rad/sec

Finally we know that speed is given as

v = ω r

v = 61.23 (0.04)

v = 2.44 m/s

Therefore, the speed of a point on the rim  is 2.44 m/s.

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The complete question is -

A thin, 100 g disk with a diameter of 8.0 cm rotates about an axis through its center with 0.15 J of kinetic energy. What is the speed of a point on the rim

Answer:

question 1: T
question 2: F
question 3: C

Step-by-step explanation:

Answer:

1. True

2. False

3. D. {2,4,9,16}

Step-by-step explanation:

⭐What is a function?

Therefore, #1 is a function because for every x-value, there is 1 y-value.

Therefore, #2 is NOT a function because 6 has 2 y-values, and 12 has 2 y-values.

⭐What is the range of a function?

Therefore, {2,4,9,16} is the range of #3 because it lists all of the y-values in ascending order.

A line chart is the best chart to show trends over time. It shows trends and data variables clearly.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.  

The points on the graph often represent the relationship between two or more things.

We can deduce that a line chart is the best chart to show trends over time as it shows trends and data variables clearly and also assists readers with making predictions for the future. However, for a data set comparison being useful, you must use the same scale on both axes.

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Answer:

around 8,000 or 100,000 is the answer

A test's large p-value does not necessarily mean that the null hypothesis should be accepted.

In a test, a low P-value will favor rejecting the null hypothesis.

The P-value approach evaluates whether something is "likely" or "unlikely," assuming that the null hypothesis is correct, by calculating the probability of observing a test statistic that is more extreme in the direction of the alternative hypothesis than the one actually seen. If the P-value is low, such as less than, it is "unlikely" (or equal to) α.

The null hypothesis is disregarded in favor of the alternative hypothesis if the P-value is less than (or equal to) α. Additionally, the null hypothesis is not disproved if the P-value is higher than α.

As a result, the right response is false.

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The given equation is a linear equation.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

g(x) = 1/3x - 6

We need to identify whether the given equation is Linear, Quadratic, Exponential, or None and why.

g(x) is the term that shows the rate of change with respect to x.

1/3 is the coefficient of the variable x

and the 6 is the constant term in the equation.

so, comparing the given equation with standard form of linear equation,

y = mx + c.

we can say here,

y = g(x)

m = 1/3,

c = 6

Hence, the given equation is a linear equation.

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The required conversion of the 15 cm/year is given as 0.5 inches per month.

Given that,
15 cm/year converted to inches per month is to be determind.

Conversion of the units is defined as the multiplying the original value with the unit factor.

Here,
1 cm = 0.4 inch
1 year = 12 month,
Substitute these values in the expression = 15 cm / year
= 15 × 0.4 / 12
= 0.5 inches per month.

Thus, the required conversion of the 15 cm/year is given as 0.5 inches per month.

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