Harpreet, Sukhpreet and Komalpreet are three sisters. Sukhpreet is x years old. Harpreet is 3 years older than Sukhpreet. Komalpreet is twice the age of Harpreet. If the average age of the three sisters is 15, how old is Harpreet?

Answers

Answer 1

Answer:

12

Step-by-step explanation:

Givens

Harpreet        = x + 3

Sukhpreet     = x

Komalpreet   = 2*(x + 3)

Average Age = 15

Equation

[(x + 3) + x + 2*(x + 3) ] / 3 = 15                  Multiply both sides by 3

Solution

3 [(x + 3) + x + 2*(x + 3) ] / 3 = 15 * 3         Combine

 [(x + 3) + x + 2*(x + 3) ]       =   45             Remove the brackets

x + 3 + x + 2x + 6                 =   45             Combine like terms

4x + 9 = 45                                                 Subtract 9 from both sides

4x + 9 - 9 = 45 - 9                                       Combine

4x = 36                                                         Divide by 4

4x/4 = 36/4

x = 9

Answer

Harpreet is  x+ 3 = 9 + 3 = 12


Related Questions

Giving brainliest :)

Answers

Answer:

[tex]f^{-1}(x)=x^2+1[/tex]

Step-by-step explanation:

The inverse of a function is when the x and y are swapped. So the first step is to write f(x) as y and then swap the x and y

Original Equation:

[tex]f(x)=\sqrt{x-1}\\[/tex]

write f(x) as y (since that's what it represents)

[tex]y=\sqrt{x-1}[/tex]

Swap x and y

[tex]x=\sqrt{y-1}[/tex]

Square both sides

[tex]x^2=y-1[/tex]

Add 1 to both sides

[tex]x^2+1=y[/tex]

So this gives you the equation:

[tex]f^{-1}(x)=x^2+1[/tex]

Use the function below to find F(-4)
F(x) = 2^x

Answers

Answer:

1/16

Step-by-step explanation:

F(-4) = 2^-4

= 1/(2^4) = 1/16

What is the value of x if e³x+6 - 87

Answers

The value of the x if e3*6 - 87 equals e3x - 81

Identify the missing justifications.

(a) =

(b) =

A 2-column table has 7 rows. The first column is labeled Step with entries 2 x minus 7 = 15, 2 x minus 7 + 7 = 15 + 7, 2 x + 0 = 22, 2 x = 22, (one-half) 2 x = (one half) 22, 1 x = 11, and x = 11. The second column is labeled Justification with entries Given, Addition property of equality, (a), Additive identity, (b), Multiplicative inverse, and Multiplicative identity

Answers

The missing algebra property justification for the equation solution is; Multiplicative Inverse

How to use algebraic properties?

We are given the equation;

2x - 7 = 15

Step 1; Add 7 to both sides to get; 2x - 7 + 7 = 15 + 7

2x = 22

Reason; Addition property of equality

Step 2; Multiply both sides by 1/2(one half) to get;

(1/2) * 2x = (1/2) * 22

x = 11

Reason; Multiplicative Inverse

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Wrote an expression gor
m < RST

Answers

The expression for the angle m∠RST from the given bisctor is; 6x - 18

How to find the expression for a given angle?

From the given image in the attachment we are given that;

SQ bisects ∠TSR

m ∠RSQ = 3x - 9

Now, since  SQ is a bisector of ∠TSR, we can say that

m∠RST = 2 * m∠RSQ

Thus angle RST is expressed as;

m∠RST = 2(3x - 9)

m∠RST = 6x - 18

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What is the solution to the inequality?
15<4+x

Answers

Answer:

Step-by-step explanation:

Hello!

15 < x + 4

We can subtract 4 from both sides, to cancel it out.

15 - 4 is 11.

11 < x

x = {12,13,14,15,16,..........................................................................Infinity}

Hope I Helped!

Shelly completed 10 problems. She has 2/7 to complete. How many problems are left?

Answers

The number of problems Shelly has to complete is 25 problems

Fraction:

Total problems = xNumber of problems completed = 10Number of problems to complete = 2/7x

x = 10 + 2/7x

x - 2/7x = 10

(7x-2x)/7 = 10

5/7x = 10

x = 10 ÷ 5/7

= 10 × 7/5

= 70/5

x = 35 problems

So,

Number of problems to complete = Total problems - completed problem

= 35 - 10

= 25 problems

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Find the value of 7.1a when a=1.5.

Answers

Final answer:

The answer is 10.65.

Step-by-step explanation:

Step 1

Substitute a=1,5 into expression

7.1a, a=1.5

7.1 x 1.5

Step 2

Multiply the numbers

7.1 x 1.5 = 10.65

Answer:

10.65

Step-by-step explanation:

Plug a into the expression

[tex]7.1\times1.5=10.65[/tex]

Hope I helped you in some way!

it is 1.8 km from Rachel's house to the nearest mailbox Use the facts to find how far this is in meters.

Answers

Answer:

1800 m

Step-by-step explanation:

1 km = 1000 m

1.8 km = 1.8 × 1 km = 1.8 × 1000 m = 1800 m

Use the properties of exponents to simplify the expression (27 1/2) 2/3

Answers

Answer:

3

Step-by-step explanation:

using the power we multiply the exponents (27^1/2)^2/3 to get 27^1/3=3

How can you determine the measure of an angle if you know the opposite side of the angle and the hypotenuse?

Answers

Answer:

Use sine rule.

Explanation:

[tex]\begin{tabular}{|c|c|c|c|} \cline{1-2} \multicolumn{2}{|c|}{\bf {SOH CAH TOA Formula's}} \\ \cline{1-2} \cline{1-2} \rm{sine rule} & sin(\theta) \sf = opposite/hypotenuse \\ \cline{1-2} \rm{cosine rule} & cos(\theta) \sf = adjacent/hypotenuse \\\cline{1-2} \rm{tan rule} & tan(\theta) \sf = opposite/adjacent \\ \cline{1-2}\end{tabular}[/tex]

If opposite side of an angle and hypotenuse is given.

Use sine rule: sin(θ) = opposite/hypotenuse

For example:

Given that opposite of the angle is 10 cm and hypotenuse is 20 cm.

To find the angle:

sin(θ) = 10/20

θ = sin⁻¹(10/20)

θ = sin⁻¹(1/2)

θ =  30°

Several ways

You can use sin directly

As

sinØ=Opposite/Hypotenuse

Then you can find Ø from it

Otherwise

You may find adjacent using Pythagorean theorem

Then you can use cos

cosØ=Adjacent/Hypotenuse

You may use tan even

tanØ=Opposite/Adjacent

Let
X
be a random variable such that
E
(
X
2
)
=
81
and
V
(
X
)
=
58
. Compute V
(
2
X
+
10
)
E
(
2
X
+
10
)

Answers

What I gather from the question is that [tex]X[/tex] has second moment [tex]E(X^2)=81[/tex] and variance [tex]V(X) = 58[/tex], and you're asked to find the expectation and variance of the random variable [tex]Y=2X+10[/tex].

From the given second moment and variance, we find the expectation of [tex]X[/tex] :

[tex]V(X) = E(X^2) - E(X)^2 \implies E(X) = \sqrt{E(X^2) - V(X)} = \sqrt{23}[/tex]

Expectation is linear, so

[tex]E(Y) = E(2X+10) = 2 E(X) + 10 = \boxed{2\sqrt{23} + 10}[/tex]

Using the same variance identity, we have

[tex]V(Y) = V(2X+10) = E((2X+10)^2) - E(2X+10)^2[/tex]

and

[tex]E((2X+10)^2) = E(4X^2 + 40X + 100) = 4E(X^2) + 40E(X) + 100 = 424 + 40\sqrt{23}[/tex]

so that

[tex]V(Y) = V(2X+10) = (424 + 40\sqrt{23}) - (2\sqrt{23} + 10)^2 = \boxed{232}[/tex]

Alternatively, we can use the identity

[tex]V(aX+b) = a^2 V(X) \implies V(2X+10) = 4V(X) = 232[/tex]

-(8/24)^{2} ÷ -(8/24)^{0}

Answers

Answer: 1/9

Step-by-step explanation:

-(8/24)^2 / -(8/24)^0

cancel the negatives and simplify 8/24 to 1/3

(1/3)^2 / (1/3)^0

(1/3)^0 = 1

so,

(1/3)^2 = 1/9

The circumference of a circle is 8​ pi
kilometers. What is the diameter?

Answers

Answer:

Using the formulas

C=2πr

d=2r

Solving for d

d=C

π=8

π≈2.54648

d≈2.55

Joyce has as much money as George; then they bet 5 cents each and George lost. If, after the bet, George has x cents, how much does Joyce have ?


PLS HELP ASAP! will mark brainliest and 20 points

Answers

Answer:

  x + 10

Step-by-step explanation:

You want to know how much money Joyce has if she won a bet with George in which they both started with the same money, both bet 5 cents, and George ended up with x cents.

Bet

We assume that both Joyce and George put 5 cents in the pool. After doing that, each had x cents. If Joyce won the 10-cent pool, she now has ...

  x + 10 cents

__

Additional comment

If they both bet against a house, or in a situation where a third party was involved, the amount Joyce ends with depends on the odds of the game, or the percentage collected by the house.

Given that the game is not specified, we have made up the rules.

<95141404393>

Calculate the amount of air in a room 6m long, 5m wide and 3mm high.​

Answers

Answer:

90.000 m³

Step-by-step explanation:

L = 6 mW = 5 mH = 3 mm = 3.000 m

V = L × W × H

V = 6 × 5 × 3.000

V = 30 × 3.000

V = 90.000 m³

Hello !

[tex]6 \times 5 \times 3 = 90 {m}^{3} [/tex]

The amount of air is 90m³.

Have a nice day ;)

A rectangular sheet of metal has a perimeter of 82 inches. Its area is 348 square inches. What are the dimensions of the sheet?

Answers

The area of a 2D form is the amount of space within its perimeter. The length of the rectangle is 29 inches and the width of the rectangle is 12 inches.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Let the width of the sheet be represented by x and the length be represented by y.

Area = x × y

348 = xy

x = 348/y

Perimeter = 2(x+y)

82 = 2(x+y)

41 = x + y

41 = (348/y) + y

0 = y² - 41y + 348

y = 29, 12

Therefore, the length of the rectangle is 29 inches and the width of the rectangle is 12 inches.

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What are the horizontal shift and vertical shift for y=srx+2-3

Answers

Answer:

vertical shift is 3 units down

horizontal shift is 2 units left

Step-by-step explanation:

y=srx+2-3

vertical shift is 3 units down

horizontal shift is 2 units left

a recent study by a researcher found that 82% of teenagers have used cellphones while driving a vehicle.suppose a random sample of 100 teen drivers is taken.calculate the probability that the sample proportion is less than 0.80

Answers

The probability that the sample proportion is less than 0.80 is mathematically given as P(z<-0.52)

What is the probability that the sample proportion is less than 0.80?

Generally, the equation for probability is  mathematically given as

p=82/100

Therefore

p=0.82

q=1-p

q=1-0.82

q=0.18

[tex]SE=\sqrt{\frac{p(1-p)}{n}}\\\\SE=\sqrt{\frac{0.8(1-0.8)}{100}}\\\\SE=0.03841[/tex]

b)

[tex]P(p < 0.80)=p(\frac{p-0.82}{0.0384} < \frac{0.8-0.82}{0.0384})\\\\P(z < -0.52)[/tex]

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In a psychology class, 44 students have a mean score of 96.6 on a test. Then 13 more students take the test and their mean score is 66.3.

What is the mean score of all of these students together? Round to one decimal place.

mean of the scores of all the students

Answers

Answer: 89.7

Step-by-step explanation:

The mean of a data set is the average of all the information given. Therefore, the total combined score is the number of students multiplied by the mean

The total score of the first 44 students: 96.6*44 = 4250.4

The total score of the later 13 students: 66.3*13 = 861.9

(4250.4 + 861.9)/(44 + 13) = 89.7

Hope this helped

Lee put $5,000 into a stock market index mutual fund that grew at an average of 6.5% per year for 10 years. without any added deposits or withdrawals, about how much is in lee's mutual fund account after only 8 years, if you ignore compounding?

Answers

The amount in lee's mutual fund account after 8 years will be $7600

Given: Principal amount (P) = $5000,

Time (t) = 10 years,

Rate of interest (r) = 6.5% per year

To find: lee's mutual fund account after only 8 years

We know that Simple interest (SI) is given by:

[tex]S.I = \frac{PTR}{100}[/tex].......(1)

So, by using equation (1) money (P') in a mutual fund account after 8 years will be

[tex]P'=P+\frac{PTR}{100}[/tex]

[tex]=5000+\frac{5000*6.5*8}{100}[/tex]

[tex]= 5000+50*6.5*8[/tex]

= 5000+2600

= 7600

Hence, the amount in lee's mutual fund account after 8 years will be $7600

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PLEASE ANSWER THIS QUESTION! I BEG OF YOU

Two function are represent below.

FUNCTION A FUNCTION B
y=35x. (image below)

What is the difference in the rate of change between Function A and Function B? Be sure to include the rate of change of each function in your answer.

EXPLAIN THE ANSWER!

Answers

The difference between the rate of change of B and the rate of change of A is 15.

How to get the difference in the rates of change?

First, we need to get the two rates of change.

We have two linear functions.

A: y = 35*x

For function A the rate of change is the slope, wich is 35.

Function B is graphed.

Remember that if a line passes through two points (x₁, y₁) and (x₂,y₂) then the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In the graph, we can see that line B passes through (0, 0) and (1, 50), then the slope is:

[tex]a = \frac{50 - 0}{1 - 0} = 50[/tex]

Then the rate of change of B is 50.

The difference between the rates of change is:

diff = 50 - 35 = 15

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Write a compound inequality that represents the given graph

Answers

Answer:

A

Step-by-step explanation:

The graph is composed of two different rays.

Eliminate B and C.

Also, when x = -2, there is an open hole.

Eliminate D.

This leaves A as the answer.

Write an inequality, in slope-intercept form, for the graph below. If necessary,
use "<=" for < or ">=" for >.
-5
(1,1)
(0, -2)
5

Answers

The inequality of the given graph in Slope Intercept Form is;

y ≥ 3x - 2

How to write an inequality in slope intercept form?

From the attached graph, we see that the boundary line passes through the points (0,-2) and (1,1), and as such the equation of the boundary line is gotten from the general formula;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

Thus, we have;

(y + 2)/(x - 0) = (1 + 2)/(1 - 0)

(y + 2)/x = 3

y + 2 = 3x

y = 3x - 2

Now, the boundary line is a solid line and the shaded area lies above the boundary line, therefore the sign of inequality must be ≥.

The inequality of the given graph in Slope Intercept Form is;

y ≥ 3x - 2

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2. A shop owner raises the price of a $150 pair of shoes by 40%. After a few weeks, because of falling sales, the owner reduces the price of the shoes by 40%. A customer then says that the shoes are back at the original price.


a. What is the mistaken assumption here?



b. Why is that assumption incorrect?



c. What do the shoes actually cost now? show calculation




d. By what percent should the shoes be decreased in order to have the price back at $150? Round to the nearest 10th percentage. (for example if your decimal answer is .058267 your answer would be 5.8267% round to nearest 10th percent answer is 5.8%) show calculation

Answers

The mistaken assumption is that the customer thinks the shoes are back to their original price.

The assumption is wrong because the price of the shoe is now lower than $150.

The cost of the shoe now is $126.

In order to retain the price of $150, the percentage decrease should have been 28.6%.

What is the cost of the shoe now?

Price of the shoe after it was increased : 1.4 x 150 = 210

Price of the shoe after it was decreases: (1 - 0.4) x 210

0.6 x 210 = $126

The percentage the price should be decreased for the price to be back to $150 = (150 / 210) - 1 = 28.9%

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What is the transformation of f(x)= x^3:
NO LINKS!!! THIS IS NOT MULTIPLE CHOICE!!!!!!
Part 3:

7. f(x)= x^3 - 5

8. f(x)= -x^3

9. f(x)= 5x^3​

Answers

Answer:

7.  Down 5

8.  Horizontal reflection

9.  Vertical stretch by a factor of 5

Step-by-step explanation:

Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

Transformations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Identify the transformations that take the parent function to the given function.

Question 7

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=x^3-5[/tex]

Comparing the parent function with the given function, we can see that 5 has been subtracted from the parent function.

Therefore, the transformation is:

[tex]f(x)-5 \implies f(x) \: \textsf{translated}\:5\:\textsf{units down}[/tex]

Question 8

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=-x^3[/tex]

Comparing the parent function with the given function, we can see that the parent function has been multiplied by -1.

Therefore, the transformation is:

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

Question 9

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=5x^3[/tex]

Comparing the parent function with the given function, we can see that the parent function has been multiplied by 5.

Therefore, the transformation is:

[tex]y=5\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:5[/tex]

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Answer:

7. Down 5

8. Horizontal Reflection.

9. Vertical Stretch by a factor of 5.

Explanation:

Parent function: f(x) = x^3

7. f(x)= x^3 - 5

Comparing it with f(x) - d which gives function shifted d units down.

Here the function has shifted 5 units down.

8. f(x)= -x^3

Comparing with -f(x) gives reflection over x-axis (horizontal reflection).

Here the function f(x) = (-1x^3) has been reflected horizontally.

9. f(x)= 5x^3​

Comparing with a(f(x)) gives vertical stretch when |a| > 1 or compression when 0 < |a| < 1 by a factor of a.

Here the function f(x) = 5x^3​ has been vertically stretched by a factor of 5.

Find data on the increase in consumer credit card debt in the U.S.A. Based on your findings, do you think the extent of the consumer debt is (a) a crisis, (b) a significant occurrence but nothing to worry about or (c)a good thing?

Justify your conclusion.

Answers

Increase in Consumer Credit Card Debt is a debt Crisis , Option A is the correct answer.

What is Consumer Credit Card Debt ?

It is the debt which has been accumulated due to the consumers buying products and services out of the credit card and not paying them back in the period of 90 days.

In USA , the credit card balance is $841 billion in the first quarter of 2022 , which is $15 billion less form the last year but at a significant peak.

This extent of the consumer debt is a debt crisis.

The debt on the bank increases as the debt on the consumer increases , causing in bank recession and a recession brings harm to the economy , It is a crisis situation and need to be handled before it affects the market.

Therefore increase in Consumer Credit Card Debt is a debt Crisis , Option A is the correct answer.

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The current salaries in Sasha’s department are $42,000, $32,000, $33,000, $38,000, and $50,000. Sasha wants to adjust the lowest salary up to $40,000. If Sasha gives every employee a $1,000 raise in addition to adjusting the lowest salary, Find the total cost for the increment?

Answers

The total cost for the increment is $13,000.

What is the total cost for the increment?

There are 5 employee's in Sasha's department. The total amount of increment is $5000. (5 x $1000).

The lowest salary is 32,000. If it is increased to $40,000. The total cost of the increment is $8000 (40,000 - 32,000)

Total cost of the increment = $8000 + $5000 = $13,000

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Please help!!! Rationalize the denominator and simplify the following expression:

Answers

Rationalizing the denominator and simplifying the expression, the result is 6√5 + 13.

Option C is the correct answer.

What is the simplified form of this expression?

Given that;

[tex]\frac{4+\sqrt{5} }{\sqrt{5} -2}[/tex]

To rationalize the denominator, we multiply the expression by [tex]\frac{\sqrt{5} +2 }{\sqrt{5} +2}[/tex]

Hence

[tex]\frac{4+\sqrt{5} }{\sqrt{5}-2 } *\frac{\sqrt{5} +2 }{\sqrt{5} +2}\\\\\\\frac{(4+\sqrt{5}) }{(\sqrt{5}-2) } \frac{(\sqrt{5} +2) }{(\sqrt{5} +2)}\\\\\\\frac{(4+\sqrt{5})(\sqrt{5}+2) }{\sqrt{5}^2+\sqrt{5}*2-2\sqrt{5} -4 } \\\\\\\frac{(4+\sqrt{5} )(\sqrt{5}+2 )}{1}\\ \\(4+\sqrt{5} )(\sqrt{5}+2 )\\\\4\sqrt{5}+4*2+\sqrt{5}\sqrt{5}+\sqrt{5}*2\\ \\ 4\sqrt{5}+8+5+2\sqrt{5}\\ \\ 6\sqrt{5}+13[/tex]

Rationalizing the denominator and simplifying the expression, the result is 6√5 + 13.

Option C is the correct answer.

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solve for X in the figure

Answers

Answer:

35

Step-by-step explanation:

This shape has 6 sides.

Sum of interior angles of a 6 sided shape is 720.

117 + 4x - 5 + 4x - 3 + 118

+ 3x + 6 + 3x - 3 = 720

4x + 4x + 3x + 3x

+ 117 + 118 + 6 - 5 - 3 - 3 = 720

14x + 241 - 11 = 720

14x + 230 = 720

14x = 720 - 230

14x = 490

x = 490/14

x = 35

Other Questions
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