The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

Answers

Answer 1

Answer:

a: 20

b : 15

Step-by-step explanation:

3*5 = 15

2*5 = 10

15-10 = 5

15+5 = 20

10+5 = 15

Answer 2

Answer:

Let:

Present age of B be 'x' years. Present age of A be ( x + 5 ) years.

[tex] \: [/tex]

5 years ago,

Age of A = (x + 5) - 5 years = x years.Age of B = ( x - 5 ) years.

[tex] \: [/tex]

According to the question,

[tex] \quad [/tex][tex] \quad [/tex][tex] \quad [/tex][tex]{ \large{ \rm{ \frac{x}{x - 5} = \frac{3}{2} }}} [/tex]

[tex]{ \green{ \implies}}{ \sf{2x = 3(x - 5)}}[/tex]

[tex]{ \green{ \implies}}{ \sf{2x = 3x - 15}} [/tex]

[tex]{ \green{ \implies}}{ \sf{3x - 2x = 15}} [/tex]

[tex]{ \green{ \implies}}{ \sf{x = { \boxed{ \pink{15}}}}} [/tex]

[tex] \: [/tex]

Therefore,

Present age of B (x) = 15 years.

Present age of A (x + 5) = 20 years.


Related Questions

What ratio of sides from AADE defines tan 19° ?

Answers

Answer:

[tex]\large \sf \boxed{ \sf \dfrac{DE}{AD} }[/tex]

Explanation:

[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]

Here given angle: 19°

Opposite to this angle: DE

Adjacent to this angle: AD

Hypotenuse to this angle: EA

So ratio of sides that defines tan(19) = opposite/adjacent = DE/AD

show that 12 cos 30 +2tan 60

Answers

Answer:

cant draw on this

Step-by-step explanation:

show the problem

Which equation represents a linear function That is shown on the graph below?

Answers

The second one I believe because it’s basiclalu going up one half everytime to get to one

please help with math

Answers

Answer:

34

Step-by-step explanation:

3*(2*2*2)+10

3*(8)+10

24+10

34

Answer:
34
Step-by-step explanation:
3*(2*2*2) +10
3* (8) +10
24+10
34

What is the area of a regular pentagon with a side of 10 in.? round the answer to the nearest
tenth.
96.3in^2
172.0in^2
344.1in^2
192.6in^2
dont respond with a link!!!!!!

Answers

The area of the regular pentagon given a side of 10 in is 172.0 in².

What is the area?

A pentagon is an object that is made up of five sides. The sum of the internal angles of a pentagon is 540 degrees.

Area of a pentagon = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] a²

Where a = side = 10

A = 1/4√[tex]\sqrt{5 ( 5 + 2 \sqrt{5} ) }[/tex] 10²

A = 172.02 in²

To learn more about pentagons, please check: https://brainly.com/question/17054992

#SPJ1

Find the slope of the line passing through (-8, 10) and (-8, -7).

Answers

(-8,10)(-8,-7)

Slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{-7-10}{-8+8}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{-17}{0}[/tex]

[tex]\\ \rm\dashrightarrow m=\infty[/tex]

[tex] \frac{y2 - y1}{ x 2 - x1} \\ \frac{ - 7 - 10}{ - 8 + 8} \\ \frac{ - 17}{0} [/tex]

Slope is undefined

Write the standard equation of the circle with center ​(−10​,−5​) that passes through the point ​(−7​,5​).

Answers

Answer:

(x + 10)^2 + (y - 5)^2 = r^2

Write the equation for g (x)

Answers

The equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)

Equation of a line

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

where:

m is the slope(x1, y1) is the point on the slope

If the function g(x) is parallel to f(x), they will have the same slope. Hence the required slope is25.

Determine the required equation of a line

y - y1 = m(x-x1)

y - 8 = 25(x-3)

Hence the equation for g(x) passing through the point (3, 8) and with a slope of 25 is y - 8 = 25(x-3)

Learn more on equation of a line here: https://brainly.com/question/13763238

#SPJ1

A fish tank can hold 190 liters of water. The tank has 154 liters of water in it already.

How many more liters of water can the fish tank hold?

Enter your answer in the box.

Answers

Answer:

it is 36 liters

Step-by-step explanation:

think of it like your subtracting 154 from 190 if you subtract 100 from 190 it will be 90 and if you subtract 50 from 90 it will be 40 so if you subtract 4 from 40 it will be 36 your answer.

show work for x<4 and x<-1

Answers

The answer is 4-1 … this is not correct

Answer:

The answer will be 4-1please

calculate mpg for w=1000,w=2000;calculate weight when mpg=30

Answers

Based on the information above, the car with 1,000 pounds more will only go 1,194 miles, and the one with 2,000 pounds more will only go 1,188 miles.

What does MPG stand for?

MPG stands for miles per gallon, and refers to the distance in miles a vehicle travels for each gallon of fuel in its tank.

In general, a car consumes about 1,200 miles per gallon. However, when you add load to it, its fuel consumption is higher because it requires more force to move.

Additionally, some studies state that for every 1,000 pounds of weight added to the car, it will yield 0.5% less. So if the car has 1,000 more pounds, it's not going to go 1,200 miles per gallon, it's going to go 1,194 miles.

On the other hand, if 2,000 pounds of weight were added, the fuel economy would be 1% less, that is, it would travel 1,188 miles per gallon.

Learn more about miles in: https://brainly.com/question/13816350

#SPJ1

10 less than 3 times a number is 25 what is that number

Answers

Answer:

-5

Step-by-step explanation:

10 - 3N = 25

Subtract 10 from both sides

-3N=15

Divide both sides by -3

N = -5

1. In the following exercises, translate into an equation and solve
a. Distance Avril rode her bike a total of 18 miles, from home to the library and then to the beach. The distance from Avril’s house to the library is 7 miles. What is the distance from the library to the beach?

Answers

Answer:

  11 miles

Step-by-step explanation:

The length of the route is the sum of the lengths of the parts of the route.

__

Let b represent the distance to the beach from the library.

  total distance = (home to library) +(library to beach)

  18 miles = 7 miles + b

  11 miles = b . . . . . . . . . . subtract 7 miles from both sides of the equation

The distance from the library to the beach is 11 miles.

Select all the correct graphs.
Choose the graphs that indicate equations with no solution.

Answers

The graphs with no solutions are the ones with no intercepts between the curves. These are the first one and the last one.

Which graphs indicate equations with no solutions?

If we have an equation like:

f(x) = g(x).

One way of finding the solutions is to graph:

y = f(x) and y = g(x) and see where the two curves intercept.

From that, the graphs where the curves do not intercept are the graphs that indicate that the equations have no solutions.

The two graphs with no intercepts are the first one (top left) and the last one (bottom right), so these are the correct options.

If you want to learn more about intercepts.

https://brainly.com/question/14323743

#SPJ1

Answer:

kid named finger

Step-by-step explanation:

I simply just used a form of alien math solving and I got my answers but I'm not willing to share

please help anyone i need to pass summer school

Answers

Okay I will just wait till I hear what I can get you done then you can get my dad and go get to church and

If you apply the changes below to the quadratic parent function, f(x) = x2², what is the equation of the new function? Shift 3 units right. Vertically stretch by a factor of 4. • Reflect over the x-axis. O A. g(x) = 4x² + 3 OB. g(x) = -4(x - 3)² O C. g(x) = -4(x+3)² O D. g(x) = (-4x - 3)²​

Answers

Answer:

B. g(x) = -4(x - 3)²

Step-by-step explanation:

Given :

f(x)  = x²

On shifting 3 units right :

g(x) = (x - 3)²

On stretching vertically by a factor of 4 :

g(x) = 4(x - 3)²

On reflecting over the x-axis :

g(x) = -4(x - 3)²
y=x²

Vertically strech by 4 means it's should be multiplied with -a and a =4

So

y=-4x²

Shifted 3 units right means change in x

So

it should be

-4(x-3)²

Option B


Sonya's heart rate was 76 beats per minute.
She ran a mile on her treadmill and checked
her heart rate again. This time, her heart rate
was 133 beats per minute. What was the
percent increase in Sonya's heart rate?

Answers

Answer:

75 percent

Step-by-step explanation:

To find percent increase, do (final-initial/initial) * 100.

This would be 133-76/76 * 100, meaning you get a 75 percent increase.

The percent increase is 75 %.

What is Percent increase?

The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.

Given:

Sonya's heart rate was 76 beats per minute.

After running, heart beat rate= 133  beats per minute.

So, percent increase

= (133- 76)/ 76 x 100

= 0.75 x 100

= 75%

Hence, the percent increase is 75 %.

Learn more about percent increase here:

https://brainly.com/question/13533684

#SPJ2

Which graph describes the relation {(5, 1), (1, –2), (0, –1), (–3, 2)}?

Answers

The graph represents a relation provided  R =  {(5, 1), (1, –2), (0, –1), (–3, 2)}

What is an ordered double?

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

We have a relation:

R = {(5, 1), (1, –2), (0, –1), (–3, 2)}

We can represent it on a coordinate plane as (x, y)

After plotting on a coordinate plane we will get a graph of a relation

R =  {(5, 1), (1, –2), (0, –1), (–3, 2)}

Thus, the graph represents a relation provided  R =  {(5, 1), (1, –2), (0, –1), (–3, 2)}

Learn more about the ordered double here:

brainly.com/question/10757890

#SPJ1

Question 28(Multiple Choice Worth 1 points)
(01.03 MC)
What is the simplified expression for
4.34
35.4-2
O
314
4|3
03⁰00

Answers

Answer:

[tex] \boxed{ \bold{\frac{4}{3} }}[/tex]

Step-by-step explanation:

[tex] \frac{ {4}^{ - 3} \: \times \: {3}^{4} \: \times \: {4}^{2} }{ {3}^{5} \: \times \: {4}^{ - 2} } [/tex]

We simplify the algebraic expression.

[tex] \frac{ {4}^{ - 3} \: \times \: {4}^{4} }{3} [/tex]

We calculate the product of the denominator:

[tex] \boxed{ \bold{\frac{4}{3} }}[/tex]

MissSpanish

If C=m+1C=m+1 and B=m+5,B=m+5, find an expression that equals 2C+3B2C+3B in standard form.

Answers

The value of the expression 2C+3B is 5m + 7

How to evaluate the expression?

The given parameters are:

C = m + 1

B = m + 5

To evaluate the expression 2C+3B;

We substitute C = m + 1 and B = m + 5

So, we have:

2C+3B = 2 * (m + 1) + 3 * (m + 5)

Expand

2C+3B = 2m + 2 + 3m + 15

Evaluate the like terms

2C+3B = 5m + 7

Hence, the value of the expression 2C+3B is 5m + 7

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

Calculate the area of the following square if a=17

Answers

formula of a square is A = a^2 so you would take 17 and square it like this 17^2 in your calculator and the answer is 289!!!

***
-6
Simplify 21v6 ÷ (-7v-6)
O 0
-3y¹2
-3
12
0 -3
DONE
0 0

Answers

Answer:

-3

Step-by-step explanation:

[tex] \frac{ 21y {}^{ - 6} }{ - 7y {}^{ - 6} } \\ - 3y {}^{ - 6 - ( - 6)} \\ - 3y {}^{ - 6 + 6} \\ - 3y {}^{0} \\ - 3(1) \\ - 3[/tex]

what is 2x3x5x6? havin trouble

Answers

Answer: 180

2x3= 6
(6) x 5 = 30
(30) x 6 = 180
Answer is 180
2x3= 6
(6)x5=30
(30)x6=180

Please answer this question

Answers

Answer:

A: Isosceles B: EquilateralC: ScaleneD: Isosceles E: Isosceles F: Scalene

Step-by-step explanation:

We can classify triangles by their sides into three types:

Equilateral: It is when the triangle has all the equal sides.Isosceles: It is when the triangle has only two equal sides.Scalene: It is when none of the sides of a triangle are equal.

MissSpanish

How and What is the domain of the function

Answers

Answer: C

Step-by-step explanation:
Domain is calculated by looking at the x axis. The graph starts at 0 and makes its way to 8, ending there. The first number 0 in the answer is where the domain first started, and the 8 is where it ends.

What is the value of x
If you know how to solve please show work! Please help

Answers

Answer:

35

Step-by-step explanation:

x+8+243/2

x+251/2

x+251/2=4x+3

cross multiply

x+251=2(4x+3)

x+251=8x+6

x-8x=6-251

-7x=-245

x=-245/-7

x=35

Work out
10.3
% of
853.93
km
Give your answer rounded to 2 DP.

Answers

Answer:

87.95

Step-by-step explanation:

853.93 x 10.3/100

853.93/100=8.5393

x10.3 = 87.95km

Can somebody solve this please?

Answers

Answer:

220

Step-by-step explanation:

Now, I'm not sure if 220 is correct, but I'll explain my reasoning.

We know three angles of a triangle add up to 180 degrees.

So, the smaller triangle has 70 degrees and a and b variables. By virtue, a + b + 70 = 180.

So, a + b = 110.

Likewise, when you look at the whole triangle, 70 degrees is also one of the angles while c and d are unknown.

So, c + d + 70 = 180.

This means c + d = 110.

So, (a + b ) + (c + d ) =

110 + 110 =

220 degrees.

I hope this helps!

Answer:

110

Step-by-step explanation:

a + b + c + d = 110

Triangle will always equal 180 degrees triangle = 180

180 - 70 = 110

Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x² + 1 into the quadratic
formula?
Quadratic formula: x =
-b± √b²-4ac
2a
Ox==(-2) ± √(-2)² – 4(3)(0)
2(3)
0 x==(-2) ± √(-2)² - 4(3)(2)
X=
0 x==(-
-(-2) ± √(-2)²-4(3)(1)
2 (3)
-3±√√3²-4(-2)(0)
2(-2)

Answers

The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
Step-by-step explanation :
The given expression is,




To solve this problem we are using quadratic formula.
The general quadratic equation is,

Formula used :

Now we a have to solve the above equation and we get the value of 'x'.

a = 3, b = -2, c = 0






The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0

Write a definition for alternate interior angles.

Answers

Answer:

Alternate interior angles are the angles formed on the opposite sides of the transversal. In other words, when two parallel lines are intersected by a transversal, eight angles are formed.

Step-by-step explanation:

I hope this checks out

Other Questions
The perimeter of a rectangle with length l and width w is 44 inches. The area of the rectangle is at most 120.Which of the following statements is true? A. If w 12 inches, then l 10 inches B. If w 12 inches, then l 10 inches C. If w 12 inches, then l 10 inches D. If w 12 inches, then l 10 inches Research and compare 4 different kinds of modern governments pleaseeee help me out does lotus have shiny or dull body surface Colonial support for the ideas outlined in the Declaration of Independence increased during the 18th century? 3 Things to not to do to a wheelchair user at the playground Read the sentence below.I have not gone outside yet today because I have to finish workingfirst.Which of the following parts of the sentence is a subordinate clause?Select one:finish working first.O yet todayO I have not gone outsideO because I have to finish working first. You notice your friend has been skipping meals lately and appears to be losing a lot of weight. How would you respond in this scenario? What are two ways you might help your friend make positive health choices? NO LINKS, NEED TODAY Which of the below sentences is written in active voice?A. The party was thrown by Jay Gatsby.B. The residents of the Valley of Ashes were watched over by the billboard.C. She believed she would never be truly happy. There is a 30% chance that Jerry will have to wait for the bus for more than five minutes to go to office. What is the probability that he does not wait for more than five minutes all 5 days this week? Adriana wants to work in broadcasting, but she sees that it might be hard to find work in that career. Why are there fewer jobs for reporters and broadcasters? A. The number of news outlets has not changed, even though the population has risen. B. There are more news outlets, so there are more people competing for jobs. C. There are fewer news outlets, so there arent as many jobs as there used to be. D. The number of readers and viewers have decreased, so the number of jobs has decreased too. WHAT IS THE RATIO OF CIRCLES TO SQUARES ABCD is a quadrilaterala) calculate the value of x. b) when ABCD is drawn to scale would the lines be parrallel or not? four points are always coplanar if they: check all that apply. A. lie in the same planeB. lie on different linesC. lie on different planesD. lie on the same line Question 17 of 20What is the affirmative formal command form of the verb poner?OA. PongoOB. PongaOC. No pongoOD. Pon Elena y Marta ____ un perro.Which form of the verb tener completes the sentence correctly? Find the mean, , for the binomial distribution with n = 48 and p = 3/5. Round your answer to the nearest hundredth. A) = 29.7 B) = 3.4 C) = 48.6 D) = 28.8Find the mean, , for the binomial distribution with n = 48 and p = 3/5. Round your answer to the nearest hundredth.A) = 29.7 B) = 3.4C) = 48.6 D) = 28.8 Write the expression in standard form. (2 points) seven divided by quantity three minus fifteen i. On January 1, 2022, Sunland Corporation had retained earnings of $548,000. During the year, Sunland had the following selected transactions. 1. Declared cash dividends $128,000. 2. Corrected overstatement of 2021 net income because of inventory error $44,000. 3. Earned net income $349,000. 4. Declared stock dividends $64,000. What is the mass of 35 moles of CO?