The following are the ages (years) of 5 people in a room: 15, 17, 22, 14, 19 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:

27

Step-by-step explanation:

Given that:

(15+17+22+14+19+x) divided by 6 = 19

(87 + x) divided by 6 = 19

87 +x = 114

so x = 27.

Therefore the age of person 6 = 27


Related Questions

The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) =

Answers

Answer:

144

Step-by-step explanation:

b2 – 4ac =

(–8)^2 – (4)(2)(–10) =

64 + 80

144

What is the product of 8/9 and 2/7

Answers

Answer:

16/63

Step-by-step explanation:

8/9 * 2/7

Multiply the numerators

8*2 = 16

Multiply the denominators

9*7 = 63

Put the numerator over the denominator

16/63

The Answer is: 16/63

You just  multiply 8/9 & 16/63

Complete the following: 2197 is the CUBE root of ______

Answers

The Cube root of 2197 is 13.

Simplify an Expression
Quick
Check
Simplify each expression involving signed numbers
-7-2=
12 + (-4)= |
-3(-6) = 1
18

Answers

Answer:

-10827

is the answer for your question I think

Answer:

[tex]-9[/tex]

[tex]8[/tex]

[tex]18[/tex]

Step-by-step explanation:

[tex]-7-2=-9[/tex]

[tex]12+(-4)=8[/tex]

[tex]-3(-6)=18[/tex]

License plates in Ontario have four letters (A-2) followed by three numbers (0-9). Letters and numbers can be repeated.
How many different license plates could be made?
676,000
480,835,200
4,569,760,000
26,000

Answers

Answer:

456976000

Step-by-step explanation:

There are 26 letters and 10 digits

4 letter then 3 numbers

26*26*26*26*10*10*10

456976000

Function g can be thought of as a translated (shifted) version of f(x)=x^2 Write the equation for g(x) g(x)=______

Answers

Answer:

g(x)=(x^2)-3

Step-by-step explanation:

f(x) is shifted down by 3 units

Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work please! I have the answer: 21 + `12i but I need to show my work, thank you!

Answers

Answer:

21+12i i hope this will help you

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

=[3(1+5i)-4i(1+5i)]-(2-i)

=[3+15i-4i-20i²]-(2-i)

=(3+11i-20i²)-(2-i)

opening brackeys

=3+11i-20i²-2+i

=3+11i+1i-20i²-2

as we know that i²=-1

=3-20(-1)-2+12i

=3+20-2+12i

=21+12i

The expression (3 - 4i)(1 + 5i) - (2 - i) is simplified as 21 + 12i

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the expression be A = (3 - 4i)(1 + 5i) - (2 - i)

Now , we know i² = -1

And , on simplifying the expression , we get

A = (3 - 4i)(1 + 5i) - (2 - i)

A = 3 + 15i - 4i - 20i² - 2 + i

A = -20i² + ( 3 - 2 ) + ( 15i - 4i + i )

A = -20 ( -1 ) + 1 + ( 11i + i )

A = 20 + 1 + 12i

A = 21 + 12i

Hence , the value of the expression (3 - 4i)(1 + 5i) - (2 - i) is ( 21 + 12i )

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Which expression has a positive value?
Negative 4 + (negative 5) (negative 6) divided by (negative 3)
8 Left-bracket 10 divided by (2) (negative 2) Right-bracket
3 (negative 64 divided by 8) + 25
Negative 2 (negative 5) (negative 3) divided by 10

Answers

Answer:

3 (negative 64 divided by 8) + 25 = 1

Step-by-step explanation:

Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14

8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20

3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1

Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3

The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25

Answer:

C

Step-by-step explanation:

i took the test

Which expression represents the algebraic phrase “the sum of negative three-eighths and four times x minus nine times z”?

Answers

Answer:

-3/8 +4x -9z

Step-by-step explanation:

this should be the translated answer, the variables don't need a multiplication sign because they aren't written as numbers

If u subtract 1/2 from a number and multiply the result by 1/2, u get 1/8, what is the number. please help whoever answers correctly I will mark them brainiest, rate them, and thanks to them.

Answers

Answer:

3/4

Step-by-step explanation:

Let the unknown number be x.

Subtract 1/2 from the unknown number: x - 1/2

Multiply the result by 1/2: 1/2(x - 1/2)

You get 1/8: 1/2(x - 1/2) = 1/8

Now we solve the equation for x.

1/2(x - 1/2) = 1/8

Multiply both sides by 2.

2 * 1/2(x - 1/2) = 2 * 1/8

x - 1/2 = 1/4

Multiply both sides by 4

4x - 4 * 1/2 = 4 * 1/4

4x - 2 = 1

Add 2 to both sides.

4x = 3

Divide both sides by 4.

x = 3/4

Answer: The number is 3/4.

A coordinate plane showing Nina's run. The x-axis shows Time in seconds and the y-axis shows Distance in meters. Four points plotted and labeled. The points are (4, 32), (6, 48), (8, 64), (10, 80). A two column table with four rows. The first column, Time in seconds, has the entries, 4, 6, 8. The second column, Distance in meters, has the entries, 35, 47.5, 60. Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? had a head start of meters

Answers

Answer:

Ryan had a head start of 10 meters

Answer:

Ryan had a head start of 10 meters.

Have a great day!

Step-by-step explanation:

Please mark me brainliest!

What’s the answer to this question?

Answers

Answer:

h=2A/b

Step-by-step explanation:

Try to isolate the variable H. Multiply by 2 on both sides to get rid of the fraction. This gives us 2A=bh. Now, divide both sides by B to get h by itself. h=2A/b is your answer.

answer = h=2A/B
explanation: i took the test :)

1. Tickets to a dance performance cost $9 for adults and $5 for kids. A group purchased 15 tickets and spent a total of $91. Which of the following is a true statement?
a. The group purchased 4 adult tickets.
b. The group purchased 9 kid’s tickets.
c. Both a and b are true.
d. Neither a nor b are true.

Answers

Answer:

A

Step-by-step explanation:

Multiply the cost of an adult ticket by 4 which is 36 and then subtract it from 91 you will get 55. You will see that 55 is divisible by 5 so you get 11kids

Evaluate:
12.16 x .13 =

Answers

Answer:

1.5808

Step-by-step explanation:

rounded

hundreds

1.58

tens

1.6

first

2

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Calculate the measures of variability for the data set. The range is

Answers


There are four frequently used measures of variability: the range, interquartile range, variance, and standard deviation. In the next few paragraphs, we will look at each of these four measures of variability in more detail.!!!!!!!!

After proving two triangles are congruent, then one can prove parts of a triangle are congruent using the reasoning CPCTC.

True

False

Answers

Answer:

The answer is True because CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

rational numbers are always sometimes never natural numbers​

Answers

Answer:

Rational numbers are sometimes natural numbers​

Step-by-step explanation:

8 is a Rational number and is natural too

1/2  is a Rational number and but is not natural

[tex]R = \sqrt{ \frac{ax - P}{Q + bx} } [/tex]
solve for x. Please can someone help me ASAP. I need to hand it on today.​

Answers

Step-by-step explanation:

[tex]r = \sqrt{ \frac{ax - p}{q + bx} } \\ {r}^{2} = \frac{ax - p}{q + bx} [/tex]

r² (q + bx) = ax - p

qr² + bxr² = ax - p

qr² + p = ax - bxr²

qr² + p = x (a - br²)

[tex]x = \frac{q {r}^{2} + p}{a - b {r}^{2} } [/tex]

Answer:

[tex]\displaystyle x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]

Step-by-step explanation:

[tex]R=\sqrt{\frac{ax-P}{Q+bx}}[/tex]

[tex]\mathrm{Square\:both\:sides}[/tex]

[tex]R^2=\left(\sqrt{\frac{ax-P}{Q+bx}}\right)^2[/tex]

[tex]R^2=\frac{ax-P}{Q+bx}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}Q+bx[/tex]

[tex]\math{R}^2\left(Q+bx\right)=\frac{ax-P}{Q+bx}\left(Q+bx\right)[/tex]

[tex]\math{R}^2\left(Q+bx\right)=ax-P[/tex]

[tex]\math{R}^2Q+\math{R}^2bx=ax-P[/tex]

[tex]\mathrm{Subtract\:}\math{R}^2Q\mathrm{\:from\:both\:sides}[/tex]

[tex]\math{R}^2Q+\math{R}^2bx-\math{R}^2Q=ax-P-\math{R}^2Q[/tex]

[tex]\math{R}^2bx=ax-P-\math{R}^2Q[/tex]

[tex]\mathrm{Subtract\:}ax\mathrm{\:from\:both\:sides}[/tex]

[tex]\math{R}^2bx-ax=ax-P-\math{R}^2Q-ax[/tex]

[tex]\math{R}^2bx-ax=-P-\math{R}^2Q[/tex]

[tex]\mathrm{Factor}\:\math{R}^2bx-ax[/tex]

[tex]x\left(\math{R}^2b-a\right)=-P-\math{R}^2Q[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}\math{R}^2b-a[/tex]

[tex]\frac{x\left(\math{R}^2b-a\right)}{\math{R}^2b-a}=-\frac{P}{\math{R}^2b-a}-\frac{\math{R}^2Q}{\math{R}^2b-a}[/tex]

[tex]x=\frac{-P-\math{R}^2Q}{\math{R}^2b-a}[/tex]

78% of a number, P, is 23.4 more than 117% of another number, Q. It is further given
that is 40% of P. Find P and Q.

Answers

Answer:

Step-by-step explanation:

"78% of P" looks like this in an algebraic expression: .78P

"117% of Q" looks like this: 1.17Q

"...is 23.4 more than [above]" looks like this: [above] + 23.4

Putting that all together in one equation, knowing that the word "is" means "equals":

.78P = 1.17Q + 23.4

From there, we will now use the fact that Q is 40% of P, which looks like this:

Q = .4P

Now, using that substitution:

.78P = 1.17(.4P) + 23.4 and

.78P = .468P + 23.4 and

.312P = 23.4 so

P = 75

Going back up to what Q is equal to, we will sub in the value of P and solve for Q:

Q = .4P and P = 75, therefore,

Q = .4(75) so

Q = 30

WILL GIVE BRAINLIEST What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b Negative a squared b and negative 6 a Negative a squared b and 5 a squared b 6 a b and 5 a squared b 6 a b and negative 6 a

Answers

Answer: B

Negative a squared b and 5 a squared b

Step-by-step explanation:

Given that:

Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,

- a^2b + 6ab - 8 + 5a^b - 6a - b

Collecting the like term by rearranging the expression

5a^2b - a^2b + 6ab - 6a - b

The like terms in the expression above are

5a^2b - a^2b.

The correct option is B:

Negative a squared b and 5 a squared b or (-a^2b and 5a^b)

Answer:

B

Step-by-step explanation:

Negative a squared b and 5 a squared b

Step-by-step explanation:

Given that:

Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b. That is,

- a^2b + 6ab - 8 + 5a^b - 6a - b

Collecting the like term by rearranging the expression

5a^2b - a^2b + 6ab - 6a - b

The like terms in the expression above are

5a^2b - a^2b.

The correct option is B:

Negative a squared b and 5 a squared b or (-a^2b and 5a^b)

I need help showing my work for the picture I've attached! I already have the answer as you can see below :)

Answers

Answer:

3x²y∛y

Step-by-step explanation:

∛27x⁶y⁴= ∛3³(x²)³y³y= 3x²y∛y

I need help with this :(

Answers

Answer:

1. 4 2. 4 3. 5 4.1

Step-by-step explanation:

first box is 4 second box is 4 third is 5 fourth is 1.

You're welcome.


What is the value of the rational expression below when xis equal to 3?
15 - X
9-X

Answers

Answer:

x=12

x=6

Step-by-step explanation:

15-(3)=12

9-(3)=6

Answer:

15-x is 12

9-x is 6

Step-by-step explanation:

Find the exact value using trigonometric identities.

In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.

btw i need two answers for bc not just one

Answers

Answer:

AB = 30 inch

BC = 14 inch or BC = 50 inch

Step-by-step explanation:

Make a drawing. Please see the attachment. All measurements are in inches.

Consider the two triangles:

∆ ABC and ∆ AB'C

1. Looking only at ∆ ABC. Since this is not a rectangular triangle, let's first consider ∆ ANC, so we can calculate NC.

AN is the height and there fore is perpendicular to NC and thus also to BC.

In ∆ ANC

AN² + NC² = AC²

We want to calculate NC, so:

NC² = AC² - AN²

Given: AC = 40 and AN = 24

NC² = 40² + 24²

NC² = 1600 + 576

NC² = 1024

NC = +-SQRT(1024)

NC = 32

NC = NB + BC

We want to know BC

BC = NC - NB

Given: NB = BN = 18 and we just calculated NC to be 32 so...

BC = 32 - 18

BC = 14

2. Looking only at ∆ AB'C

AN is the height and there fore is perpendicular to B'C. Let's consider ∆ AB'N, so we can calculate AB'.

AN is the height and there fore is perpendicular to B'N, which means it has an angle of 90° in ∆ AB'N.

In ∆ AB'N

c² = a² + b²

AB'² = AN² + B'N²

Given: AN = 24 and B'N = 18

AB'² = 24² + 18²

AB'² = 576 + 324

AB'² = 900

AB' = +-SQRT(900)

AB' = 30

In ∆ AB'C

with AB' = 30 and AC = 40

c² = a² + b²

B'C² = AB'² + AC²

B'C² = 30² + 40²

B'C² = 900 + 1600

B'C² = 2500

B'C = +-SQRT(2500)

B'C = 50

Now we have our answers.

Extra:

Please look at the picture again, but now concentrate on the indicated 50 and - 50...

I am trying to explain something about the meaning of the outcome of mathematical calculations like:

c² = 2500

c = +- SQRT(2500)

c = 50 or c = - 50

Depending on where you want to start from, you can "move" 50 inch in one direction or 50 inch in the opposite direction, hence the -50 inch. Please let me explain why I am making a fuss...

1). Let's consider ∆ AB'C. Going from B' to C, you "move" -50 inch form B' towards C. This 50 inch is what we calculated earlier, but the we neglected to explain why we discarded the minus value of the SQRT... We just stated it to be only the positive value! Normally we give no meaning to the negative variant of it... Well, is this true in this case?

2). Let's consider ∆ ABC'. Going from B to C', you "move" 50 inch form B towards C'. Please understand that the direction is opposite that of - 50 inch in 1).

It is important to understand that a negative sign means the 180° in the direction of the other way.

In general. When calculating a square side by using the SQRT, you carefully need to consider if you can discard the -

minus value of your calculated outcome.

Not always, but usually there is some sort of meaning to the negative part of the SQRT, you just need to be willing to understand what it possibly could mean.

I hope this has made some sense to you :-).

which of the following statements are Ture...?

ANWSER:
[] The prime factorization of 14 is 2 times 7.
[] The prime factorization of 21 is 3 times 7.
[] 21 is a prime number.
[] 14 is a composite number
[] The GCF of 14 and 21 is 14.
[] The LCM of 14 and 21 is 42

Answers

Answer:

1, 2, 4, 6 are true statements

Help, please! An explanation would be great, I'm so confused on this question-

Answers

Answer:

a=250 and b=10

Step-by-step explanation:

a=5*100/2=250

b=200*5/100=10

Answer:

a = 250

b = 10

Step-by-step explanation:

1) a = [tex]\frac{5x^2}{2}[/tex]

Putting x = 10

a = 5(10)²/2

a = 5(100)/2

a = 250

2) b = [tex]\frac{2x^2(x-5)}{10x}[/tex]

Putting x = 10

b = 2(10)²(10-5) / 10(10)

b = 2(100)(5) / 100

b = 1000 / 100

b = 10

solve for x
8x+1=-71

Answers

Answer:

-9

Step-by-step explanation:

8x + 1 = -71

8x = -72

x = -9

Answer:

x = -9.

Step-by-step explanation:

8x + 1 = -71    Subtract 1 from both sides:

8x + 1 - 1 = -71 - 1

8x = -72

x = -72/8

x = -9.

I really need help with this I don't understand it.

Answers

Answer:

(10x + 37) and (15x+7) are vertical angles which are always equal

10x + 37 = 15x +7

5x = 30

x = 6

The angle (15x +7) equals 97 and the other angle (10x + 37) also equals 97 degrees.  All 4 of the angles add up to 360 degrees.

Therefore, 360 = 2z + 97 + 97

2z = 166

z = 83

Step-by-step explanation:

Match the graph to the correct inequality below.

Answers

The answer is the last one

Answer:

x > -3

Its an open dot so its not the one with the line under it.

Other Questions
Ritz can eat 6 apples in 15 minutes. How long does it take Ritz to eat 16apples at the same rate? * If an arrow is shot upward on Mars with a speed of 52 m/s, its height in meters t seconds later is given by y = 52t 1.86t2. (Round your answers to two decimal places.) (a) Find the average speed over the given time intervals. Arlington Company is constructing a building. Construction began on January 1 and was completed on December 31. Expenditures were $4,000,000 on March 1, $3,300,000 on June 1, and $5,000,000 on December 31. Arlington Company borrowed $2,000,000 on January 1 on a 5- year, 12% note to help finance construction of the building. In addition, the company had outstanding all year a 10%, 3-year, $4,000,000 note payable and an 11%, 4-year, $7,500,000 note payable. 96. What are the weighted-average accumulated expenditures Please help! Correct answer only!There are 10 cards in a hat, numbered 1 to 10. The game is to draw one card out of the hat. If the number you draw is even, you win $30. If the number you draw is odd, you win nothing. If you play the game, what is the expected payoff?$___ A glucose solution is administered intravenously into the bloodstream at a constant rate r. As the glucose is added, it is converted into other substances and removed from the bloodstream at a rate that is proportional to the concentration at that time. Thus a model for the concentration C = C(t) of the glucose solution in the bloodstream is dC/dt = r - kC where k is a positive constant. Assuming that C0 < r/k, find lim t[infinity] C(t) and interpret your answer What is the probability of spinning an A? help *URGENT* PLZ.......... What are four main crops in the Midwest Which slope intercept form equation is equivalent to the standard form equation -x + 2y = -8?A)y = (1/2)x - 4B)y = (-1/2)x - 4C)y = -x - 4D)y = -2x - 8E)y = 2x - 8 Mesopotamia was located between the Tigris and __________ Rivers.A. indusB. gangesC. danubeD. euphrates In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half of the length of AB. If sin A = 0.5, then what is sin E?A) 2B) 1C) 0.5D) 0.25E) 0.1 The Federal Reserve System (the 'Fed') was created by the Federal Reserve Act, passed by Congress in 1913, and began operations in 1914. Like all central banks, the Federal Reserve is a government agency. All of the following statements are true about the Fed except:a. the Federal Reserve is the "lender of last resort.b. it promotes public goals such as economic growth, low inflation, and the smooth operation of financial markets.c. it focuses on making a profit like commercial banks.d. it has the power to supervise and regulate banks. Find the sum of the first 48 terms of the following series, to the nearest integer7,11,15,... Which event convinced people that James Monroes presidency was ushering in an Era of Good Feelings?a. Monroes support for government spending on internal improvements such as new roadsb. attempts to promote national unity by traveling around New England to talk with important Federalistsc. Monroes support of Henry Clay as Speaker of the House after facing Clay as an election opponentd. Monroes opening of the American west to settlement by immigrants from any European nation How do the laws we read connect government and religion? Hongwu followed the teachings of Confucius by helping the economy grow andO by building chariots.O by encouraging explorationO by allowing women to serve in government.by making sure that everyone could earn a living,woid(0)Tweaks Read this excerpt from Holes.At the time, Elya thought nothing of the curse. He was just a fifteen-year-old kid, and eternity didnt seem much longer than a week from Tuesday. Besides, he liked Madame Zeroni and would be glad to carry her up the mountain. He would have done it right then and there, but he wasnt yet strong enough.How does this section of the flashback relate to Stanley?Elya was much older during his difficult time than Stanley was during his.Elyas physical weakness parallels Stanleys physical weakness.Elya, like Stanley, lives in the moment and does not consider the future.Elya, like Stanley, likes the character who is giving him a hard time. The budget for Ohio is 69.1 billion with a population of 11.69 million residents. Round all scientific answers with two decimals with no spaces. Example: 1.23x10^4 or 1.23E4 Write the budget in scientific notation. 1 point Debt: Write the population in scientific notation. 1 point Population: Calculate the Budget Per Capita and write your answer in standard notation. Round to a whole number. 2 points Use the budget per capita in a sentence explaining what this value means. 4 points Find the volume of a right circular cone that has a height of 6 ft and a base with a radius of 9.7 ft. Round your answer to the nearest tenth of a cubic foot. What role do appellate courts play in the federal judicial system