)The following are the ages (years) of 5
people in a room:
23, 20, 15, 12, 17
A person enters the room.
The mean age of the 6 people is now
19.
What is the age of the person
who
entered the room?

Answers

Answer 1

Answer:

The age of the person who entered the room is 27

Step-by-step explanation:

If there are 6 people and the mean is 19 you would need to multiply 19 by 6. You will get 114 and now you just subtract the age of the others. 114-23-20-15-12-17=27.


Related Questions

which of the following is an irrational number?
A) square root of 18
B) square root of 49
C) 3.8
D) 3/10

Answers

A. √18 is an irrational number.

Answer:

A.

Step-by-step explanation:

√18 (= 4.242640687.....)

The decimals go on without bounds.

HELP ITS DUE TOMORROW PLSS HELPP

Answers

2 is 4/6, 8/12

3 is 2/4, 4/8

4 is 8/10, 16/20

5 is =

6 is >

7 is >

8 is =

9 is =

10 is <

11 is =

12 is >

8 (2/3) divided by (-104/33)

Answers

Answer:

-2 3/4.

Step-by-step explanation:

8 2/3 = 26/3

26/3 / -104/33

= 26/3 * 33/-104

= 1 /3 * 33/-4

= 1/1 * 11/-4

= -11/4

= -2 3/4.


Fill in the blanks

A=P e rt is known as the ______ formula.

Answers

A=P e rt is known as the continual" growth formula.

What is a PE RT formula?

A = PRT, where "A" is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (represented as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate), is the equation for "continual" growth (or decay).

What is the purpose of a PE RT?

Often referred to as a PERT diagram, a PERT chart is a project management tool used to plan, schedule, and coordinate tasks within a project. Project managers can deconstruct each individual activity in the project for analysis since it provides a graphical depiction of the project's timeline.

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chloe is 5 feet 4 inches tall. there are 2.54 centimeters in 1 inch. what is chloe's height in centimeters?

Answers

Answer:

162.56 centimeters

Step-by-step explanation:

60 inches + 4 inches = 64 inches

1 inch =

2.54 centimeters

64 inches = 162.56 centimeters

12 times 5
+4
= 64 • 2.54
= 162.56 centimeters

Given congruent triangles ΔABC and ΔMNL, which of the following are corresponding parts? Check all that apply.
∠A and ∠L
AB and MN
∠C and ∠M
AC and LN
∠B and ∠N
CB and LN
ANSWERS!!!!! B,E,F or 2,5,6

Answers

Given congruent triangles ΔABC and ΔMNL, the corresponding parts or sides include the following:

Line segments AB and MN.Line segments B and N.Line segments CB and LN.

What is a line segment?

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length (numerical value).

Corresponding parts of two congruent figures.

In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.

Given congruent triangles ΔABC and ΔMNL, the corresponding parts or sides include the following:

Line segments AB and MN.Line segments B and N.Line segments CB and LN.

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Answer:

Step-by-step explanation:

The grass in Jamie's yard grew 161616 centimeters in 101010 days. It was growing at a constant rate.
How many days did it take the grass to grow 111 centimeter?
days
How many centimeters did the grass grow in 111 day?
centimeters

Answers

Days it took the grass to grow 1 centimeter and  centimeters the grass grew in 1 day

0.625 days to grow 1 cm.

16/10 = 1.6 cm in 1 day.

How many centimeters did the grass grow in 111 days?

According to the law of proportion, any two ratios or fractions must be equal.

In only a week and a half, the grass in Jamie's backyard grew by 16 cm. it is expanding at an unchanging pace.

We need to determine how many days have passed since the grass has grown one centimeter.

Let's say that x represents the number of days that the grass grew one centimeter.

Given the following definition of proportion:

16/10=1/x

16x = 10

x = 0.625 days

As a result, one centimeter of grass growth occurred after 0.625 days had passed.

b)

Change x into 1. Because x is the number of days.

16/10=1/1

16/10

1.6

'In conclusion, in 1 day, 1.6 cm will grow.

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For many years after the war, various individuals and groups sought compensation for the internees. The speed of the evacuation forced many homeowners and businessmen to sell out quickly; total property loss is estimated at $1.3 billion, and net income loss at $2.7 billion (calculated in 1983 dollars based on the Commission investigation below).
The Japanese American Evacuation Claims Act of 1948, with amendments in 1951 and 1965, provided token payments for some property losses. More serious efforts to make amends took place in the early 1980s, when the congressionally established Commission on Wartime Relocation and Internment of Civilians held investigations and made recommendations. As a result, several bills were introduced in Congress from 1984 until 1988, when Public Law 100-383, which acknowledged the injustice of the internment, apologized for it, and provided for restitution, was passed. –Documents from the National Archives: Internment of Japanese Americans According to this source, what was the result of the commission?
Check all that apply.
A. The internees did not seek compensation at any point after the war.
B.Payments were made after the 1940s.
C. In the 1980s, a commission held investigations and made recommendations.
D.Nothing resulted from the commission’s findings, and the matter was dropped.

Answers

The result of the Commission on Wartime Relocation and Internment of Civilians was C. In the 1980s, a commission held investigations and made recommendations.

What was the Commission on Wartime Relocation and Internment of Civilians?

The Commission on Wartime Relocation and the Internment of Civilians reviewed details surrounding the forced relocation and the internment of "aliens."

The commission discovered that the internment badly impacted American citizens and permanent resident aliens.

The commission recommended the payment of compensation to those who suffered the War Relocation.

Thus, the result of the Commission on Wartime Relocation and Internment of Civilians was Option C.

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Simplify m7m-4.
Please! ASAP!

Answers

Answer:

A. M^3

Step-by-step explanation:

Answer:

[tex]m^3[/tex]

Step-by-step explanation:

We can subtract the exponent 4 from the exponent 7.

Therefore,

[tex]m^{7-4}[/tex] is the answer

Then we simplify:

[tex]m^3[/tex] is our final answer.

Hope this helped!

Please help me. Solve for x. ​

Answers

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

[tex]\cfrac{x}{48}=\cfrac{48}{64}\implies \cfrac{x}{48}=\cfrac{3}{4}\implies 4x=144\implies x=\cfrac{144}{4}\implies \boxed{x=36}[/tex]

WHOLE NUMBERS GREATER THAN 12 BUT LESS THAN 25

Answers

Answer:

13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

2. Solve the inequality -5/2(3x − 2) < 6 − 2x.


For full credit, you will need to show and explain

every step. You may add more lines if you need them.

Steps/Work Explanation
Picture provided

Answers

The solution to the inequality is x >-2/11

How to solve the inequality?

The inequality is given as

-5/2(3x − 2) < 6 − 2x.

Multiply through by 2

So, we have

-5(3x − 2) < 12 − 4x.

Open the brackets

So, we have

-15x + 10 < 12 − 4x.

Evaluate the like terms

So, we have

-11x < 2

Divide by -11

x >-2/11

Hence, the solution to the inequality is x >-2/11

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abc is right angled triangle at a then cosine angle b sine angle c equals

Answers

abc is right angled triangle,

A triangle in which one of the interior angles is 90° is called a right angled triangle.

The longest side of a right triangle, which is also the side opposite the right angle, is the hypotenuse.The two arms of the right angle triangle are the height and the base.

According to the diagram 'ab' is the height or perpendicular 'ac' is the base and 'bc' is the hypotenuse of the triangle.

Sin θ = [tex]\frac{perpendicular}{hypotenuse}[/tex]

Cos θ = [tex]\frac{base}{hypotenuse}[/tex]

Tan θ = [tex]\frac{perpendicular}{base}[/tex]

Cosine angle at b will be represented as Cos b = [tex]\frac{base}{hypotenuse}[/tex] = [tex]\frac{ab}{bc}[/tex]

the base considered for the angle at 'b' will be 'ab' since Cosine uses the base attached to the angle.

Sine angle at c will be represented as Sin c = [tex]\frac{perpendicular}{hypotenuse}[/tex] = [tex]\frac{ab}{bc}[/tex]

the perpendicular considered for the angle at 'c' will be 'ab' since Sine uses the perpendicular which lies opposite to the angle considered.

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pls help im offering 40 points !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I don't know!!!!!!!!!!!!!

26=6(5-a)
What is a

Answers

Answer:

2/3

Step-by-step explanation:

Simplify

[tex]26=6\cdot \left(5-a\right)\\26=6\cdot 5+6\cdot -a\\26=30+6\cdot -a\\26=30+\left(6\cdot -1\right)a\\26=30-6a\\30-6a=26[/tex]

Group constants

[tex]30-6a=26\\30-6a-30=26-30\\-6a+30-30=26-30\\-6a=26-30\\-6a=-4\\[/tex]

Isolate the term, a

[tex]-6a=-4\\\frac{-6a}{-6}=\frac{-4}{-6}\\\frac{6a}{6}=\frac{-4}{-6}\\a=\frac{-4}{-6}\\\\\frac{-a}{-b} = \frac{a}{b}\\\\a=\frac{4}{6}\\a=\frac{2\cdot 2}{3\cdot 2}\\a=\frac{2}{3}[/tex]

HELP IT IS URGENT IF I GET THIS WRONG I WILL FAIL HIGHSCHOOL

Answers

Answer:

1. 60 seconds.

2. 9 minutes.

3. 3 minutes, 180 seconds.

4. 300 seconds, 5/60 horas.

What is the x-intercept ?

Answers

Answer:

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

What is the EXPRESSION after applying the distributive property?
-0.4 (-2 + (-9))

30 points

Answers

-0.4(-2+(-9))
0.4(2+9)
0.4x11
4.4

4. Function f is defined by f(x) = 2x - 7 and g is defined by g(x) = 5*.
a. Find f(3), f(2), f(1), f(0), and f(-1).
1325104
b. Find g(3), g(2), g(1), g(0), and g(-1).

Answers

The values of the function f and g are -1, -3, -5, -7, -9 and 15,10,5,0,-5.

According to the statement

We have to find that the values of the function.

So, For this purpose, we know that the

The function is an expression that defines a relationship between one variable and another variable.

From the given information:

The functions are:

f(x) = 2x - 7 and g is defined by g(x) = 5x.

And Find f(3), f(2), f(1), f(0), and f(-1) and Find g(3), g(2), g(1), g(0), and g(-1).

Then

f(x) = 2x - 7

f(3) = 2(3) - 7 = 6 - 7 = -1.

f(2) = 2(2) - 7 = 4 - 7 = -3.

f(1) = 2(1) - 7 = 2 - 7 = -5.

f(0) = 2(0) - 7 = 0 - 7 = -7.

f(-1) = 2(-1) - 7 = -2 - 7 = -9.

And then

g(x) = 5x

g(3) = 5(3) =  15.

g(2) = 5(2) = 10.

g(1) = 5(1 ) = 5.

g(0) = 5(0) = 0.

g(-1) = 5(-1) = -5.

So, The values of the function f and g are -1, -3, -5, -7, -9 and 15,10,5,0,-5.

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How do I graph y+4=5x?

Answers

To graph a linear equation, including the function y + 4 = 5 · x, we needed to rewrite the equation into its explicit form, mark two distinct points on a Cartesian plane and pass a line through them. The result is presented in the image attached below.

How to graph a linear equation

Herein we find a linear equation in a non-canonical form and to which we are asked to graph. According to geometry, lines can be created by knowing the location of two distinct points on Cartesian plane. The detailed procedure is now shown.

First, clear the variable y to obtain the explicit form of the linear equation:

y = 5 · x + 4

Second, look up for two distinct points on Cartesian plane by evaluating the expression at distinct values of x:

x = 0

y = 5 · 0 + 4

y = 4

x = 1

y = 5 · 1 + 4

y = 9

The points (0, 4) and (1, 9) lie on the line.

Third, mark the coordinates of the two points and pass a line through them.

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a savings account recieves 12% simple interest p.a. how long would it take for £30000 to gain £7200 in interest

Answers

Answer:

2 years

Step-by-step explanation:

I= PRT/100

I=£30000 x 12 x 1 /100 =£3600

Since the interest for one year is £3600, the interest for two years is £3600x2 =£7200

what is the missing number 8X(_+7)=96

Answers

[tex]8(x + 7) = 96 \\ 8x + 56 = 96 \\ 8x = 96 - 56 \\ 8x = 40 \\ x = \frac{40}{8} \: \: \: \: \: so \: \: \: \: x = 5[/tex]

Answer:

5

Step-by-step explanation:

If im seeing this correctly, its 8(?+7) =96

if you put 5 instead of the ?

It will equal 12.

12×8 =96

Which graph represents a function? ​

Answers

Answer:

The 4th Option

Step-by-step explanation:

For a graph to be a function, it must not be broken up at any point (as in Option 3) and there can be no points that overlap each other vertically (as in Options 1 and 2). So, the only option that is continuous and with no overlapping points is Option 4.


Let g(x)=6-4 x
b. What is the inverse of g ?

Answers

Answer:

g-1(x)=-1/4x+3/2

Step-by-step explanation:

X intercept is 1 and (-1, -4) find the equation of the line when given two points from the line.

Answers

Answer: y=2x-2

Step-by-step explanation:

X intercept is 1

Hence,

(1,0)

Thus,

(1,0)     (-1.-4)

                      Equation of a straight line:

                             [tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]                

x₁=1       x₂=-1        y₁=0        y₂=-4

[tex]\displaystyle\\\frac{x-1}{-1-1} =\frac{y-0}{-4-0} \\\\\frac{x-1}{-2} =\frac{y}{-4} \\\\[/tex]

Multiply both parts of the equation by -4:  

(2)(x-1)=y

2x-2=y

Answer:

[tex]y=2x-2[/tex]

Step-by-step explanation:

The x-intercept is when the line crosses the x-axis, so when y = 0.

Therefore, the two points on the line are:

(1, 0)(-1, -4)

To find the equation of the line when given two points from the line, first find the slope:

[tex]\textsf{slope}\:(m)=\dfrac{\textsf{change in $y$}}{\textsf{change in $x$}}=\dfrac{-4-0}{-1-1}=2[/tex]

Now substitute the found slope and one of the points (1, 0) into the point-slope form of a linear equation:  

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-0=2(x-1)[/tex]

[tex]\implies y=2x-2[/tex]

Therefore, the equation of the line is:

[tex]y=2x-2[/tex]

What value of p makes this equation true?

p3−5=4

Drag and drop the number that correctly completes the equation

Answers

Answer:

27

Step-by-step explanation:

if p is 27 and 27 /3 =9 and 9-5=4 that means the answer is 27

Answer: yea its 27

Step-by-step explanation:

B. Joshua found out that there is a $25 nonrefundable equipment fee
in addition to
How does this requirement change the
the hourly rates.
mathematics of the situation?

Answers

Answer:

$25 is a fixed number, cannot be increased, decreased or deleted.

Step-by-step explanation:

In the situation, the math are modified by the fixed value of $25, which should be a addition to the variable term in the proper math expression.


Write each expression in simplest form. (3x²/₃)⁻¹

Answers

The given expression would be simplified by solving for the negative exponent.

In this expression, the base term is 3x^2/3 and the exponent is -1.

A positive exponent tells us how many times a number is multiplied by itself while the negative exponent tells us how many times the base number has to be divided. It can also be described as the number of times the reciprocal of the base number is multiplied by itself.

The negative exponent rule states that: a^-x=1/a^x

Hence, applying the rule:

(3x^²/₃)^-1=1/(3x^²/₃)^1

Multiplying the power and simplifying,

1/(3x^²/₃)^1=1/3^1x^²/₃*1=1/3x^²/₃

The simplest form of the expression (3x^²/₃)^-1 is 1/3x^²/₃.

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Two makes a necklace of Z wooden beads at $0.50 each and 6 glass beads at $1.25 each. The average cost of the beads in the necklace is $0.75. Choose an equation to model the situation

Answers

The equation model the situation is mathematically given as

(0.5x + 7.5) = 0.75(x + 6)

This is further explained below.

What is an equation to model the situation?

Generally, the  cost of the beads in a necklace is  mathematically given as

0.50x + 6*1.25 = 0.5x + 7.5 dollars

Therefore

There are a total of x + 6 beads. Due to the fact that 0.75 is the typical cost of the beads,

[tex]\frac{0.5 x+7.5}{x+6}=0.75[/tex]

0.5 x+7.5=0.75(x+6)

In conclusion, The solution for x may be obtained as follows:

0.5x + 7.5 = 0.75x + 4.5

-0.25x = -3

x = -3/-0.25

x= 12

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NOTE; This is a complete question, with no given option, even on the internet.


Simplify 2.5p(2 - 0.5p) you please!!!

Answers

The simplified answer is 5p - 1.25p²

what is expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

2.5p(2 - 0.5p)

Now solving further

2.5p * 2 - 2.5p (0.5p)

5p - 1.25p²

Hence, the simplified answer is 5p - 1.25p².

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