In 12 years, M will be thrice as old as N was 12 years ago. If M is now 8 years older than N, the present age of N is (in years)?

Answers

Answer 1

Answer:

M = 36 year old

N = 28 years old

Step-by-step explanation:

here,

let the present age of M and N be 'x' and 'y' respectively.

By the first condition,

(x+12) = 3( y - 12)

x+12 = 3y - 36

x = 3y-48 ........ eqn (i)

and

By the second condition,

x= y+8 ........ eqn (ii)

now,

combining both the equations...

x = x

3y-48 = y+8 ( from i and ii )

2y= 56

y = 28

then , if y = 28

soo.. x= y+8

= 28+8

= 36


Related Questions

A group has more than $120 to spend. The inequality 5x + 20 > 120 represents the cost to rent a hall for a conference, where x represents the number of hours the group can rent the hall. Which of the following is the solution for this situation?

Answers

Answer:

x>20

Step-by-step explanation:

You want to try and get the x alone so

5x + 20 > 120

     -20     -20  Subtract 20 from each side

5x        > 100

5x/5    > 100/5 Divide 5 from each side

       x  > 20

Triangle QRP is congruent to triangle YXZ. What is the perimeter of triangle YXZ?
What is the perimeter of triangle YXZ?

Answers

Answer:

Perimeter of XYZ = Perimeter of QRP

Step-by-step explanation:

Since congruent then

P of XYZ = P of QRP

Fifteen years from now, Atli’s age will be 4 times his current age. What is his current age?

Answers

Answer:

he is three i think

Step-by-step explanation:

A ,b,c or d? I need help pls help me

Answers

The answer will be Apples

It depends a lot on where you live. But I would assume the answer is apples. I hope this helps you out and have a nice day! :)

. Doanh nghiệp dự tính đầu tư góp vốn liên doanh với số tiền ban đầu là 500 trđ, trong vòng 4 năm, lãi suất dự kiến là 12%/năm. Tính tổng số lãi của hoạt động đầu tư liên doanh thu được sau khi kết thúc liên doanh ?

Answers

i dont understand nun of that

Factor the greatest common factor. 5xy4-20x2y3

Answers

Answer:

Step-by-step explanation:

The greatest common factor of 5 and -20 is 5

x: the greatest common factor is x

y: the greatest common factor is y^3

Answer: 5xy^3(y - 4x)

The card you pick from a normal pack is from a red suit​

Answers

Answer:

1/2

Step-by-step explanation:

Total number of cards in a normal pack = 52

Red cards in a pack = 26

Probability of getting a red card = 26/52

or 1/2 (simplest form)

Find the vertical asymptotes of the function (x-1)(x-3)^2(x+1)^2/(x-2)(x+2)(x-1)(x+3)​

Answers

Answer:

x=2, x=-2, x=-3

Step-by-step explanation:

-check if anything simplifies

(x-1)(x-3)²(x+1)² / (x-2)(x+2)(x-1)(x+3), simplify (x-1)

(x-3)²(x+1)² / (x-2)(x+2)(x+3)

-make the denominator 0 to find the asymptotes

(x-2)(x+2)(x+3) = 0

(x-2) =0 gives x = 2 asymptote

(x+2) =0 gives x= -2 asymptote

(x+3) = 0 gives x=- 3 asymptote

Rhonda walked diagonally across a rectangular playground with dimensions 60 m by 45 m. She started at point C. Determine the angle, to the
nearest degree, between her path and the longest side of the playground.
B
45m
D
60 m

Answers

Answer:

37degrees

Step-by-step explanation:

In order to get the required angle, we will use the SOH, CAH, TOA identity.

Let;

Adjacent = 60m

Opposite = 45m

According to TOA:

tan theta = opp/adj

tan theta = 45/60

tan theta = 0.75

theta = arctan 0.75

theta =  36.86

Hence the  angle, to the  nearest degree, between her path and the longest side of the playground is 37degrees

Type the correct answer in the box. If necessary, use / for the fraction bar.

Answers

5/50 step-by-step explanation:

What is the length of AC

Answers

Answer:

x=9 ⇒AC=24

Step-by-step explanation:

vì DE//B C⇒ΔABC  Tương ung ti tỉ lệ vớiv  ΔADE

⇒DB/AB=EC/AC

⇒AC=(EC.AB)/DB

⇒AC=24

What is the surface area of the cylinder with height 5 ft and radius 2 ft? Round your
answer to the nearest thousandth.

Answers

Answer:

87.965

Step-by-step explanation:

surface area of a cylinder,

2πr²+2πrh (where r = radius, h = height)

given, h = 5, r = 2

so,

2πr²+2πrh

= 2π×2²+2π×2×5

= 8π+20π

= 28π

= 87.9645943..

= 87.965 (rounded to the nearest thousand)

Write the expression 4^4(4^-7)(4) using a single
exponent.
4^-28
4^-4
4^-3
4^-2

Answers

Answer:

4^(-2)

Step-by-step explanation:

4^4(4^-7)(4)

We know that a^b * a^c = a^(b+c)

4^4(4^-7)(4^1)

4^(4+-7+1)

4^(-2)

Chen I’d bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cat fruit. The food cost is molded by the equation 5v + 7f = 28.70, where V represents the cost of 1 pint of cut veggies and F represents the cost of one pint of grapefruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (round to the nearest cent, as needed)

Answers

Answer:

answer to that is A 1.75 per pint

the product of a number and four, increased by one, is at least 7.

Answers

Answer:

4/6

Step-by-step explanation:

a number which means "x" or u can name any variable u want

so the product of a number and four means

X×4

the increased by one or plus one

X×4+1

is at least 7

X(4)+1=7

4x+1=7

4x=7-1

4x=6

x=4/6

i guess so

lemme know if I'm right

Answer:

x≥3/2

Step-by-step explanation:

since we know that there is an unknown number being multiply with four, we're going to represent it as x:

(x*4)

It then multiply it with one:

(x*4)+1

And we know that it has to be 7 or greater than that:

(x*4)+1≥7

Now, we're going to do the math:

4 multiply with x is 4x

(x*4)+1≥7= 4x+1≥7

then, we're going to toss one to another side and minus it with seven

4x+≥7-1 = 4x+≥6

afterward, we divide everything by four to find what x is:

(4x+≥6)/4 = x≥3/2

someone please help me with this question​

Answers

Answer:

Step-by-step explanation:

The diagram is given to you below. I could not change <C so that it was theta. So C = theta.

So C is the reference angle. Call it theta when you think of it. The diagram shows you how cos(C) must be set up.

The adjacent side is 7

The hypotenuse is 18

theta = C = cos-1(7/18) = 67.11

To the nearest degree 67.11 = 67

The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities?

Answers

3.66 cm is the distance between these to cities .
____________________________
Hope it is helpful!!

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your
answers as radicals in simplest form.

Answers

Answer:

x = 10

y = 5

Step-by-step explanation:

Applying Trigonometry ratio

sin∅ = opposite/hypotenuse

cos∅ = Adjacent/hypotenuse

From the diagram,

sin60° = 5√3/x

make x the subject of the equation

x = 5√3/sin60°

But, sin60° = √3/2

x = 5√3/(√3/2)

x = (5√3)(2/√3)

x = 10.

Also, applying

cos60° = y/x

Where x = 10, cos60° = 1/2

y = xcos60°

y = 10(1/2)

y = 5

find the value of x.

Answers

Answer: x=35

Step-by-step explanation:

To find the value of x, we can use the Pythegorean Theorem because this is a right triangle.

Pythagorean Theorem: a²+b²=c²

[tex]12^2+x^2=(x+2)^2[/tex]             [exponent and distribute]

[tex]144+x^2=x^2+4x+4[/tex]       [subtract both sides by 144]

[tex]x^2=x^2+4x-140[/tex]             [subtract both sides by x²+4x]

[tex]-4x=-140[/tex]                       [divide both sides by -4]

[tex]x=35[/tex]

Now, we know that x=35.


A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 9 feet, and a height of 4 feet. The container is completely filled with contents that weigh, on average, 0.61 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

Answer:

285pound

Step-by-step explanation:

Volume of the container = length * width * height

                                        = 13 * 9 * 4

                                        = 468 cubic feet

Weight of the contents in the container = 468 * 0.61 = 285.48 = 285pound

if the cost of 5 dozen of copies is rupees 60 what is the cost of 33 such copies​

Answers

Answer: Rs 33

Step-by-step explanation:

Cost of 5 dozen copies = Rs 60

Total copies in 5 dozen = 5×12

= 60

Cost of each copy = 60/60

= Rs 1 per copy

Cost of 33 copies = 33×1

= Rs 33

Therefore cost of 33 such copies is Rs 33

please click thanks and mark brainliest if you like :)

60/5
= 12
So 12 rupees per copy
33x12 = 396 rupees
So the answer is 396 rupees

If 55% people in a city like Cricket, 30% like Football and the remaining like nother games, then what per cent of the people like other games? If the total people is 60 lakh, find the exact number who like each type of games Answer it fast, no spam please



write in notebook ​

Answers

[tex]\large{\dag\:{\underline{\underline{\frak{\pmb{\red{Answer:-}}}}}}}[/tex]

Cricket = 55%Football = 30%Other games = Remaining (?)

So, the percent of people who like other games equals:

= 100 – (55 + 30)

= 100 – 85

= 15%

If the total no. of. people is 60,00,000:

★ Cricket

= 60,00,000 × 55/100

= 33,00,000

★ Football

= 60,00,000 × 30/100

= 18,00,000

★ Other sports

= 60,00,000 × 15/100

= 9,00,000

what is the solution to Y=-2x²+4x+8
Y=-4x+16

Answers

Hi there!

[tex]\large\boxed{(2, 8)}[/tex]

Solve by setting the two equations equal to each other:

-2x² + 4x + 8 = -4x + 16

Move all terms to one side:

-2x² + 4x + 4x + 8 - 16 = 0

Simplify:

-2x² + 8x - 8 = 0

Factor out a negative 2 from each term:

-2(x² - 4x + 4) = 0

Factor:

-2(x - 2)² = 0

Set the factor equal to 0 to solve:

(x - 2)² = 0

x - 2 = 0

x = 2

Substitute this value of x into an equation to find the shared y value:

y = -4(2) + 16 = 8

Given a line segment that contains the points A,B, & C in order,if AB = 2x + 3, BC = 4x - 11, and AC = 28, find the length of segment AB.

Answers

Answer:

15

Step-by-step explanation:

AB+BC=AC

2X+3+(4X-11)

6X-8=28

6x= 36

x=6

then ab= 2(6)+3

=15

bc= 4(6)-11

=13

ac=ab+bc

=15+13

=28

find find x in the diagram with angle 56 degree ​

Answers

Share the diagram to understand your question and I will be happy to answer your question .

Fill in each box with the probability of the event that it represents. The following questions can be answered using your area model.
pleeeeaaseee help!!!!

Answers

Answer:

[tex]a. \ \dfrac{1}{36}[/tex]

[tex]b. \ \dfrac{4}{9}[/tex]

[tex]c. \ \dfrac{5}{6}[/tex]

Step-by-step explanation:

The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2

The probability of rolling any of the six numbers of the six-sided die = 1/6

a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;

P(rolling a 3) = 1/6, P(Blue) = 1/6

∴ P(3 and Blue) = (1/6) × (1/6) = 1/36

P(3 and Blue) = 1/36

[tex]P(3 \ and \ Blue) = \dfrac{1}{36}[/tex]

b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;

P(rolling a 1) = 1/6, P(Orange) = 1/3

P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)

Where;

P(1 and Orange) = (1/6) × (1/3) = 1/18

∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9

P(1 or Orange) = 4/9

[tex]P(1 \ or \ Orange) = \dfrac{4}{9}[/tex]

c. The probability of not spinning a blue, P(not Blue) is given as follows;

P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)

∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6

P(not Blue) = 5/6

[tex]P(not \ Blue) = \dfrac{5}{6}[/tex]

An airplane travels 4020 kilometers against the wind in 6 hours and 4800 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

Rate of plane 735 km/hr

Rate of wind 65 km/hr

Step-by-step explanation:

Calculation to determine the rate of the plane in still air

Let Va represent the velocity of the airplane

Let Vw represent the velocity of the wind

When flying with the wind:

(Va+Vw)*(6 hours) = 4800

6Va + 6Vw = 4800

6Vw = 4800 - 6Va

Vw=4800/6-Va

Vw = 800 - Va

When flying against the wind:

(Va-Vw)*(6 hours) = 4020 km

6Va - 6Vw = 4020

Substitute 800-Va for Vw and solve for Va:

6Va - 6(800-Va) = 4020

6Va -4800 + 6Va = 4020

12Va = 8820

Va=8820/12

Va = 735 km/hr

Therefore the rate of the plane in still air is 735 km/hr

Calculation to determine the rate of the wind

Rate of wind:

Vw = 800 - Va

Vw= 800 -735

Vw= 65 km/hr

Therefore the rate of the wind is 65 km/hr

52
Х
degrees
PLEASEHEHEH

Answers

Answer:

x = 142 degrees

Step-by-step explanation:

52 + 90 + x = 180

142 + x = 180

-142        -142

-------------------

        x = 38

180 - 38 = 142

Hope this helped.

use determinants to find the area of the parallelogram shown below

Answers

Answer:

30

Step-by-step explanation:

To find the determinant of a parallelogram given points (a, b), (c, d), and (e, f), we can use

[tex]\left[\begin{array}{ccc}a&b&1\\c&d&1\\e&f&1\end{array}\right][/tex] and calculate the determinant of that. Three points on the parallelogram are (-1,1), (-1, -5), and (4, 5). Plugging these into the matrix, we get

[tex]\left[\begin{array}{ccc}-1&1&1\\-1&-5&1\\4&5&1\end{array}\right][/tex]. The determinant is equal to

[tex]-1 *det \left[\begin{array}{ccc}-5&1\\5&1\end{array}\right] \\- 1 * det \left[\begin{array}{ccc}-1&1\\4&1\end{array}\right] \\\\+ 1 * det \left[\begin{array}{ccc}-1&-5\\4&5\end{array}\right] \\= -1 * (-5*1 - (1*5))- 1 * (-1 * 1 - (4*1)) + 1 * (-1 * 5 - (-5*4)) \\= -1 *(-5-5) -1 * (-1 - 4) + 1 * (-5 - (-20))\\= -1 * (-10) -1 * (-5) +1 * (15)\\= 10 + 5 + 15\\=30[/tex]

Analyze the problem and complete the statements.
t-7 = 8
I know this problem is an
because it has an equals sign.
The t is the
The negative sign is the
The 7 and the 8 are both

Answers

Answer:

I know this problem is an  

✔ equation

because it has an equals sign.

The t is the  

✔ variable

.

The negative sign is the  

✔ operation

.

The 7 and the 8 are both  

✔ constants

.

Step-by-step explanation: i took the test :( crying cuz im bouta fail

Other Questions
Suppose you know the population average wage in the manufacturing industry in California is $24.66 per hour. You take a survey 30 people that work in manufacturing in Utah to answer the following research question. Is the population average manufacturing wage in Utah less than $24.66 per hour, the population average manufacturing wage in the California? Use dimensional analysis to solve the following problems. Pay attention to correct use of units and correct use of significant figures in calculations. Please show work!3) Convert 0.250 moles of aluminum sulfate to grams. 4) Convert 2.70 grams of ammonia to moles. It is given 5 and h + 1 are the roots of the quadratic equation x + (k - 1)x - 5 = 0,where h and k are constant.Find the value of h and k.Do help me,i'll mark u as the brainliiest!! Change (My brother sold his car) into negative. Which of the following is an example of self-directed learning? The answer is reading informative articles about computers If 12 is the greatest common factor of y and 36, how many possible values for y are in between 20 and 80 ? Which of the following is an example of rigid transformations?A. Moving the glass from one place to otherB. Cutting a piece of breadC. Squeezing the cherryD. All of the choices 2 List five different environments you know line I is parallel to line m. if the measure of line 6 is 75 what is the measure of line An electrolytic cell transferred 0.10 m o l of electrons when a constant current of 2.0 A was applied. How many hours did this take? Draw and label the stomach of ruminant animals The statements on the left are incorrectWrite the correct statement.Incorrect statements1. Breathing produces carbondioxide from glucose2. Only animals carry outrespiration. If someone can help with this itd be greatly appreciated Please help answer this question!! 20 points!!!! Does the point (9, 0) satisfy the equation y = 9x2 + x + 9? A police officer stopped a driver who had run a red light. Upon approaching the car, the officer noticed a strong odor of alcohol and immediately asked whether the driver had been drinking. The driver admitted having had several alcoholic drinks that evening. The driver, charged with driving while intoxicated, moved to suppress the officer's testimony regarding the driver's statement about his drinking. The driver argued that the officer had elicited the statement without providing the requisite Miranda warnings. The prosecutor has responded that the statement should be allowed in the prosecution's case-in-chief or, at a minimum, should be allowed as impeachment in the event the driver testifies and denies drinking. How should the court rule regarding the driver's statement admitting his drinking Which is a part of interphase?A. TelophaseB. CytokinesisC. ProphaseD. G, phase Calculate the mass of potassium acid phthalate (HKC8H4O4) that will require about 15 mL of the approximately 0.1 M NaOH solution. Measure approximately this mass on a tared piece of weighing paper and transfer it to a clean, labeled Erlenmeyer flask. Similarly, prepare all three samples, recording the masses for each. Dissolve the KHP in about 50 mL of R.O. water and add 2 drops of phenolphthalein. 52:03 What was Tsarina Alexandra's biggest mistake after she took over the leadership of the Russian government? NEED HELP PLEASE- ANSWER BOTH TASKS, WILL MARK BRAINLIESTTask 1 - Nonlinear Systems of EquationsCreate a system of equations that includes one linear equation and one quadratic equation.-Part 1. Show all work in solving your system of equations algebraically.-Part 2. Graph your system of equations and show the solution graphically to verify your solution.-Task 2 - Polynomial IdentitiesPart 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x y)2 = x2 2xy + y2 to square your number without using a calculator.-Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.- Find m