The following are the ages (years) of 5 people in a room:
21, 24, 18, 15, 15
A person enters the room.
The mean age of the 6 people is now 16.
What is the age of the person who entered the room?

Answers

Answer 1

Answer:

3 years old

Step-by-step explanation:

( 21 + 24 + 18 + 15 + 15 + x ) / 6 = 16

93 + x = 96

x = 3

The person who entered the room is 3 years old.

Answer 2

Answer:

3 years old

Step-by-step explanation:

x= age of the person who entered the room

The sum of 21,+ 24,+ 18,+ 15,+ 15 = 93

(93+x )     divided into 6 = 16

Multiply both sides by 6

93+x = 96

x=3

 93+3= 96

96/6 = 16


Related Questions

Find the
n
th
term of the sequence that starts with 31, 35, 39, 43

Answers

Answer:

Step-by-step explanation:

This is a sequence of adding 4

So the next number is 47 51

1,900 + 76x. Use the Distributive Property to factor the expression.

Answers

Answer:
The length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet.
Step-by-step explanation:
The total area, in square feet, of a rectangular stage that has been widened by x feet, is represented by 1,900 + 76x.
Now, factorizing the expression for the area we get,
A = 1900 + 76x
⇒ A = 76(25 + x)
Therefore, from the above expression, we can assume that the length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet. (Answer)

Pls get it right this a test I need the best grade

Answers

Answer:

9.6

Step-by-step explanation:

Answer:

the answer is 9.6

Step-by-step explanation:

your welcome

Chris labels every lattice point in the coordinate plane with the square of the distance from the point to the origin (a lattice point is a point such that both of its coordinates are integers). How many times does he label a point with the number $25$?

Answers

Answer:

4 times

Step-by-step explanation:

A lattice point may be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.

In the context, Chris tries to label every lattice point in a coordinate plane with its square of distance from the point to its origin. The lattice points means that the numbers are both the integers. So for number 25, Chris has to label 4 times

i.e. (55),(-5,5),(5,-5),(-5,-5)

Select the function that defines the given sequence.

Answers

Answer:

D.

Step-by-step explanation:

a1 = -8

a2 = -8 * 2.5

a3 = -8 * 2.5 * 2.5

a4 = -8 * 2.5^3

an = -8 * 2.5^(n - 1)

The first term is -8. Each subsequent term is 5/2 times the previous term.

Answer: D.

Which statements are correct interpretations of this graph?

Select each correct answer.


6/10 of a page is edited per minute

3 pages are edited every 5 min

1 2/3 of a page is edited per minute

5 pages are edited every 3 min

Answers

Answer:

✅6/10 of a page is edited per minute

✅3 pages are edited every 5 min

Step-by-step explanation:

On the graph, there are 3 points given, which are:

(5, 3), which means 3 pages are edited every 5 mins

(10, 6), which means 6 pages are edited every 10 mins.

(15, 9), which means 9 pages are edited every 9 mins.

Pages edited per minute, using the point (10, 6) would be:

y/x = 6/10. This means ⁶/10 of a page is edited per minute

The correct statements that interprets the graph are:

✅6/10 of a page is edited per minute

✅3 pages are edited every 5 min

Answer:

Step-by-step explanation: 6/10 paiges 3 purges

James and Ahmik went to a bicycle show. Of the bicycles they saw at the show, 32% were blue, 25% were red, 25% were green, and 18% were black. In ratio form, what percent of the bicycles were red or black?

Answers

Answer: 43:100

Step-by-step explanation:

Percentage of bicycles that are blue = 32%

Percentage of bicycles that are red = 25%

Percentage of bicycles that are green = 25%

Percentage of bicycles that are black = 18%

Percentage of bicycles that are red or black = 25% + 18% = 43%

Therefore, 43% will be written in ratio form as 43:100

What can be concluded about a pair of triangles with some congruent corresponding parts? Select all that apply.

The two triangles are sometimes congruent.
A conclusion cannot be made based on the given information.
The two triangles are always congruent.
The two triangles are never congruent.

Answers

Answer:

The two triangles are sometimes congruent.

Step-by-step explanation:

I did it and got it correct

What is the value of y in the solution to the system of equations below?
11x + 12y = 13
14x + 15y = 16

Answers

Answer:

(-1,2) is the answer

Benson purchased a $1,800 certificate of deposit that earns simple annual interest. At the end of 1 year, the certificate was worth $1,857.60.



What is the annual interest rate on this certificate of deposit?

Answers

Answer:

3.2%

Step-by-step explanation:

Here, we want to calculate the annual interest rate

The interest is = Amount - principal = 1857.60 - 1800 = 57.60

‘Mathematically;

Interest = PRT/100

P is 1,800

r is rate

t is time = 1

57.60 = (1800 * r * 1)/100

100 * 57.60 = 1800r

r = 5760/1800

r = 3.2%

Mara and alex are running laps around a track. Alex completes a lap every 45 secs and Mara every 36. If they starts at the same time, how long will it be until they cross the start line together? Plz its for homework that is due TOMORROW...

Answers

Answer:

180

Step-by-step explanation:

Keep multiplying 45 until you get a number divisible by 36. This is called the least common multiple.

Alessia uses her bank card to buy lunch 3 times. Each time she buys lunch, it costs $12.50. She then deposits $30 in her bank account. What is the change in her bank balance in dollars as a result of these transactions?

Answers

Answer: She has a $-7.50 balance

Step-by-step explanation: A = 3*12.5

                                             A= 37.5

                                             37.5-30= -7.5

Answer:

Her balance will be $7.50 in the red.

Step-by-step explanation:

expenses: (12.50)*3 = 37.50

funds added: 30

$30 - $37.50 = -$7.50

find the LCM and HCF of 110 and 220 by prime factorization, what do u observe ​

Answers

Answer:

GCF=   2 x 5 x 11 = 110

LCM=   2 x 2 x 5 x 11 = 220

Step-by-step explanation:

Write the equation of the line passing through points (2,-2) and (1,0) in slope intercept form.

Answers

Answer:

y=-2x+2

Step-by-step explanation:

hope it helps!

Answer:

 y = -2x + 2

Step-by-step explanation:

find the slope then use the point slope formula to get to y = -2x + 2.

solve the question.

Answers

Answer: 1

[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]

Step-by-step explanation:

Wow the person who answered above me is smart

Find the solution to the following system of equations:
[2x-y=3
[x-y= -2
A.(-1,-5)
B.(1,3)
C.(4,5)
D.(5,7)​

Answers

Answer:

the answer is D.(5,7)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

hope this help. :)

ayo
whats 2+2=?????
im so confused bro like frrrrrrr
also whats 9+10
thanks

Answers

4 and 21 XDDDDDDDDDD

squares q,r,t form a right triangle with dimensions as shown in the diagram. what is the area of square Q​

Answers

Answer:

The area of square Q is 441 m² ⇒ C

Step-by-step explanation:

Let us use the right triangle to find the side of square Q

∵ The length of the side of square T = 29 m

∴ The length of the hypotenuse of the right triangle = 29 m

∵ The length of the side of square R = 20 m

∴ The length of leg1 of the right triangle = 20 m

∵ (leg1)² + (leg2)² = (hypotenuse)² ⇒ Pyathagoras Theorm

(20)² + (leg2)² = (29)²

∴ 400 + (leg2)² = 841

→ Subtract 400 from both sides

∴ (leg2)² = 441

→ Take √  for both sides

leg2 = 21

∵ Leg2 is the side of the square Q

The length of the side of square Q = 21 m

∵ Area of the square = side × side

∴ Area of square Q = 21 × 21

∴ Area of square Q = 441 m²

The area of square Q is 441 m²

may someone please help me with this ill give brainlyest if i figure out how to

Answers

Answer: 5

Step-by-step explanation:

5x3+6=21

5x5=25

25-21=4

Let "the number" = [tex]n[/tex]

[tex]6 + 3n = 5n - 4[/tex]

[tex]6 + 3n - 5n = -4[/tex]

[tex]6 - 2n = -4[/tex]

[tex]-2n = -10[/tex]

[tex]n = 5[/tex]

Check my work:

Six added to 3 times (5) is equal to 4 less than 5 times (5)

Six added to 15 is equal to 4 less than 25

21 is equal to 21

Which of these statements about savings is incorrect? *
1 point
People often believe they are saving when they buy products at a listed
discount, even if they didn't need the product in the first place
It is extremely difficult to open a savings account, as you typically need at
least $10,000 for your initial deposit
Without a vehicle to save (like a savings account), it's much easier to spend
and harder to keep track of finances
Billions of dollars is spent on marketing to persuade consumers to spend
money instead of saving it
dinion in high school and Hust started his
1

Answers

Answer:

The answer is "Option b"

Step-by-step explanation:

The numbering of the choices was defined in the attached file please find it.  

In the question except for option b, all choices were correct, that can be defined as follows:

Citizens also believe because they save by buying products at a price, even if the product wasn't required first. It's cheaper to take and tough to maintain track of funds without a way to invest (like a bank account). Billions of lives were expended on ads and convince consumers to invest money in the junior high rather than saving their union so Hust started his career.

8) The graphical representation of a linear polynomial is

Curve
Straight line
Parabola
Circle​

Answers

Answer:

Straight line

Step-by-step explanation:

if for a linear polynomial ax + b, a ≠ 0, the graph of y = ax + b is a straight line which intersects the x-axis at exactly one point, namely, (- b/a, 0). Also, this linear polynomial has only one zero which is the x-coordinate of the point where the graph of y = ax + b intersects the x-axis.

sum1 please help me!!! its for math ughhh iv beeen stuck on this problem for a long time apromenctly an hour-

Answers

Answer:

i believe the answer would be 7

Step-by-step explanation:

3 + 20 ÷ 5 = 7

Answer:

5 x (3 + y) = 20

Step-by-step explanation:

The total amount collected is 20, so it goes on the right side of the = sign. There was a total of 5 students and each student had to pay an attendance fee of $3, so you need to multiply 5 by 3 because each student had to pay the fee. The students also need to pay a fee for supplies, but we do not know what that amount is, so we put a variable in its place. We need to put the total amount of money that each student pays together, so we put it in parentheses. We put the 5 outside of the parentheses, which are on the left side of the = sign. When you solve this equation, you would find that the supply cost would have to be $1 each.

PLEASE HELP WITH ANY OF THE QUESTIONS IN THE PICTURE I WILL GIVE 50 POINTS AND BRAINLEIST

Answers

Answer:

RU=4.44500 cementers

Step-by-step explanation:

I learned from my bigger sister

Which ratio is proportional to 18/28 ?
Help me plzzzz i will give brainliest

Answers

Answer:

18/21 = 30/35

Step-by-step explanation:

so the problem says 18/21 so if that's the correct ratio to proportion to the answer would be. 30/35. the reason is that you can divide 18 and 21 by 3 to get 6/7 then if you multiply by 5 you get 30/35. Dividing and multiplying both the denominator and numerator keeps the ratio proportional.

please helpppppp :((

Answers

Answer:

[tex]4^{21}[/tex]

Step-by-step explanation:

[tex]\frac{4^{12}}{4^{-9}}\\[/tex]

Given 4 = a

From the properties of exponents for the example...

[tex]\frac{a^4}{a^{-2}} = \frac{a*a*a*a}{\frac{1}{a^2} } = (a*a*a*a)*a^2 = a^4 * a^2 = a^{4+2} = a^6[/tex]

Therefore, the answer is....

[tex]4^{12}*4^{9} = 4^{12+9} = 4^{21}[/tex]

Find the value of x and y.

Answers

Answer:

x=13

y=132

Step-by-step explanation:

............

What is the answer to (m^2-7m-11)/(m-8)

Answers

Answer:

The final quotient is [tex]\bold{m+1-\frac{3}{m-8}}[/tex].

Step-by-step explanation:

This problem can be solved using two methods: long polynomial division and synthetic division.

Method 1: Long Polynomial Division

We can use long polynomial division to solve the equation. The steps are detailed below the work.

[tex]\displaystyle{\begin{array}{r}\bold{m+1-\frac{3}{m-8}\phantom{)}\\m-8{\overline{\smash{\big)}\,m^2-7m-11\phantom{)}}}\\\underline{-~\phantom{(}m^2-8m\phantom{-b)}}\\m-11\phantom{)}\\\underline{-~\phantom{()}m-8}\\-3\phantom{)}\end{array}}[/tex]

Steps

Set up your division. Place the divisor (the binomial) on the left hand side of the division symbol and the trinomial (or polynomial depending on the amount of terms) on the right hand side of the equation.Divide the divisor by the first term of the trinomial: [tex]\frac{m^2}{m}=m[/tex]Place the result above the first term of the trinomial (above the bar and directly above the first term of the polynomial.Multiply the m by the divisor: [tex]m(m-8) = m^2-8m[/tex]. Subtract this from the original trinomial: [tex](m^2-7m-11)-(m^2-8m)=m - 11[/tex]. Set this below the equation and then divide the leading term of the divisor by the leading term of the remainder: [tex]\frac{m}{m}=1[/tex].Place this to the right of the m located above - in this case, we add because our result is positive.Multiply that by the divisor: [tex]1(m-8)=m-8[/tex].Set this below the remainder from the previous division and subtract: [tex](m-11)-(m-8)=-3[/tex].Finally, divide the original divisor by the remainder: [tex]\frac{-3}{m-8}[/tex]. This divisor needs simplified: [tex]-\frac{3}{m-8}[/tex].Our final new polynomial (once evaluated), is [tex]\bold{m+1-\frac{3}{m-8}}[/tex].

Method 2: Synthetic Division

We can also use synthetic division to solve the polynomial.

Table 1 (actual)        Table 2 (model)

[tex]\begin{array}{c|ccc}8 & 1 & -7 & -11 \\ & \downarrow & 8 & 8 \\ \cline{2-4} \multicolumn{1}{c}{} & 1 & 1 & -3\end{array}[/tex]      [tex]\begin{array}{c|ccc}a & b & c & d \\ & \downarrow & e & f \\ \cline{2-4} \multicolumn{1}{c}{} & g & h & i\end{array}[/tex]

Steps

Determine the coefficients of the polynomial: [tex]m^2-7m-11[/tex]. These are 1, -7, and -11. We need to determine the zero. We do this by setting the divisor equal to zero: [tex]m-8=0\rightarrow m=8[/tex]. Place this value in the upper left hand corner (in place of a).For the first term, we just drop the coefficient below the bar. Therefore, g becomes 1.Multiply a by g to get e : [tex]8 \times 1 = 8[/tex]. Therefore, e becomes 8.Add c to e : [tex]-7 + 8 = 1[/tex]. Therefore, h becomes 1. Multiply a by h to get f : [tex]8 \times 1 = 8[/tex]. Therefore, f becomes 8.Add d to f to get i : [tex]-11 + 8 = -3[/tex]. Therefore, i becomes -3.Our new coefficients are 1, 1, and -3. We lose one power (if the first term is squared, it now does not have an exponent).Use the new coefficients to get our new equation: [tex]m+1-3[/tex].Finally, the last term is the remainder. So, we divide this by the divisor: [tex]m+1-\frac{3}{m-8}[/tex].Our final expression is [tex]\bold{m+1-\frac{3}{m-8}}[/tex].

Which one is bigger -4 or -3

Answers

Answer:

the answer is -3 because -3 is closer to 0 than -4

-3 is bigger it is closer to 0

Can you please explain how I got it wrong and how to get it right (thank you)

Answers

Answer:

x = 42°

Step-by-step explanation:

Since (3x+3) and 129 are corresponding angles, we can set them equal to one another and solve for x.

3x + 3 = 129

     - 3     - 3

      3x = 126

      /3      / 3

       x = 42°

X=42*.................

2. Which of the following states that if the product of two real numbers is zero, then either of the two is
equal to zero or both numbers are equal to zero?
A. Multiplication Property C. Identity Property
B. Zero Product Property
D. Transitive Property

Answers

Answer:

b

B zero product property

Answer:

The Zero property

Step-by-step explanation:

anything multiplied by zero will give you a product of zero

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