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

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

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

show that 12 cos 30 +2tan 60

Answers

Answer:

cant draw on this

Step-by-step explanation:

show the problem


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 %.

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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.

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

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

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!!!

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

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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

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

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)

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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

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

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

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

***
-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]

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.

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

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

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)}

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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

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.

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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.

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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

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

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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

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

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

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

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.

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