Two years ago a man was five times as old as his son. Two years later his age will be eight more than three times as old as his son . Find there present age

Answers

Answer 1

Answer:

The age of man is 42 years and the age of his son is 10 years.

Answer 2

Answer: Father 42 and son 10

Let the age of the father is x years and that of the son is y years.

Then by the given question,

x-2=5(y-2)

or, x-5y=-10+2

or, x-5y=-8

or, x=5y-8

x+2=3(y+2)+8

or, x-3y=6+8-2

or, 5y-8-3y=12

or, 2y=12+8

or, y=20/2

or, y=10

then x=5y-8=50-8=42

Then, the age of father is 42 yrs. and the age of sun is 10 yrs.


Related Questions

Only 30 of Jahanna's 40 customers receive the newspaper on Sunday's. If it takes her 50 minutes to deliver to 40 customers on other days, how long will it take her to deliver the paper to 30 customers?

Answers

Answer: 37.5 minutes

Step-by-step explanation:

It takes Jahanna 50 minutes to deliver to 40 customers.

On Sunday however, she has to deliver to only 30 customers.

Assume that the amount of time it will take her is x minutes and use direct proportion:

50 minutes          :       40 customers

x minutes             :       30 customers

Cross multiply:

40x = 50 * 30

40x = 1,500

x = 1,500/40

x = 37.5 minutes

Explain in complete sentences how you convert a log function to an exponential.

Answers

Answer:

Identifying and moving the base is the key to changing from logarithmic form into exponential form. Identifying the base of the logarithmic equation and moving the base to the other side of the equal sign is how to change a logarithmic equation into and exponential equation.

Example- log 8 base 2=3

then 2^3=8

The opposite of a logarithmic function is an exponential equation, and vice versa

As a general rule, we have the following equation to convert a log function to an exponential.

[tex]\log_ba = x \to a = b^x[/tex]

Take for instance, we have the following logarithmic function

[tex]\log_216 = x[/tex]

The equivalent exponential equation is:

[tex]16 = 2^x[/tex]

Read more about logarithmic functions at:

https://brainly.com/question/13473114

Over a 30-day period, the mean temperature in Morristown was 56°F with a standard deviation of 8.4°F and the mean temperature in San Juan was 67°F with a standard deviation of 1.5°F.

What statement best describes the data?


The temperatures were of similar consistency in Morristown and San Juan.

The temperatures were more consistent in Morristown.

The temperatures were more consistent in San Juan.

Answers

Answer: i think the answer would be d the temperatures were more consistent in san juan im pretty sure

Step-by-step explanation:

hope this helped im pretty sure this is right check my yt channel out hailey azbell

v=u + at
u= 2
a = -5
t = 1/2
Work out the value of v.

Answers

Answer: -1/2

Step-by-step explanation:

V=2+(-5)*1/2

Answer:

V=u+at

=2+(-5)/0.5

= - 3/0.5

V=-6

What is the absolute value of -1.06?

Answers

Answer:

1.06

Step-by-step explanation:

The absolute value of a number is always its opposite. Since the number is negative, the answer is positive.

Answer:

1.06

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  − 1.06 and  0  is  1.06 .

I hope this helped!

Sincerely,

Rekifromsk8theinfinity

:D

two congruent, isosceles triangles are joined to create a parallelogram. the largest angle of the parallelogram is 116.
write two equations
solve them to find the value of a and b

Answers

Yes very much so good job

Answer:

4 a + 2b = 360 ----->equation 1

a + b = 116 --------> equation 2

a = 64 °

b = 52°

Step-by-step explanation:

The sum of all of the internal angles would be 360°.  Since we have four "a"s and two "b"s, we have:

4a + 2b = 360

Then told that the largest internal angle of the parallelogram is 116 degrees, so:

a + b = 116

We now have a system of two equations and two unknowns.

I'll simplify the first equation by dividing both sides by 2, then multiplying the second equation by -1 to prepare for solving by elimination:

2a + b = 180

-a - b = -116

----------------------  Add the equations together to get:

a = 64°

Now we can solve for b:

a + b = 116

64 + b = 116

b = 52°

So the values of "a" and "b" are:

a = 64° and b = 52°

Hope this helped :)

Use synthetic division to divide the polynomials.
(6a^3 – 4a^2 + 7a+ 2)/
(a - 2)

Answers

Answer:

Step-by-step explanation:

2_|   6      -4     7    2

                12    16  46

         6     8     23   48

6a^2 + 8a + 23 + 48/(a - 2)

The graph of y= f(x) is shown below. What is the value of f(-3)

Answers

f(-3) -4, Use the graph to connect them

The value of the function at x = -3 is -1

What is function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

Given that a graph of y= f(x), we need to find f(-3)

The graph tells the value of y when x = -3 is -1

Hence, The value of the function at x = -3 is -1

For more references on function, click;

https://brainly.com/question/21145944

#SPJ2

(3/5 - 1/5)2 . 1 = ?

Answers

0.84
Because...
3/5-1/5= 2/5
2/5 * 2.1= 0.84

IF YOU HELP ILL GIVE BRAINNLYYYYY!

Answers

20 degrees C
Hope that helped and sorry if I am wrong

Jada has a sleeping bag that is rated for 30° F. This means that if the temperature outside is at least 30° F, Jada will be able to stay warm in her sleeping bag. Let t represent the temperature in degrees Fahrenheit.

Answers

Answer:

30-70 degrees F Actually read my response because it explains

Step-by-step explanation:

Well if the outside air is 30 degrees F and the rated temp. for the sleeping bag is 30 then the temp. for the sleeping bag has to be anywhere from 30 and up. Probably like 30 through 70. I didnt really know what the question was because you didn't really make it clear but I tried my best. :)

Hope this helps!!!!!

Pls mark brainliest

Mr. Lucas mowed 2/5 of his lawn. His son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

Answers

Answer:

Mr. Lucas mowed more, 8/20 he mowed. His son mowed 5/20. They need 7/20 more to be mowed 20/20 - 13/20 = 7/20

Mr. Lucas mowed 40% of his lawn while his son only mowed 25% of the lawn. 35% of the lawn still needs to be mowed.

Angelica joins a local gym called Fitness Solutions. The annual membership is $720 and personal trainers can be hired for $28 per hour. If she sets aside $1000 in her annual budget for gym costs, how many hours can she spend with the personal trainer?

Answers

(This is what I think) First, we minus 720 from her 1000. Now she has $280 left. 280 divided by 28 (the trainer cost) is 10. So, she can spend 10 hours with the personal trainer.

does anyone know the answer

Answers

Answer:

yes me

Step-by-step explanation:

na jp ion know

If point (4, 5) is on the graph of a function, which equation must be true?

f(5) = 4
f(5.4) = 9
f(4) = 5.
f(5.4) = 1

Answers

Answer:

f(4) = 5

Step-by-step explanation:

functions are represented by f(x), so x should be the value in parenthesis and the y value should be what it equals

3
Find the slope from the table.
X
-8
0
4
8
у
-7
2
5

Answers

Answer:

m = 3/4

Step-by-step explanation:

take two coordinate points and use the formula:

rise/run or y2-y1/x2-x1

x1,y1 being the first point

x2,y2 being the second point chosen off of the chart.

{y=2x+3
y=x+3 Solve the system of equations by graphing.

Answers

To solve this, graph both lines and the ordered pair where they intersect is your answer. (0, 3)

The diameter of the wheels on xavires bicycle is 80 cm . Calculate the circumference of the wheels

Answers

Answer:

80*3.14

Step-by-step explanation:

let diameter d=80cm

circumference c = d*pi = d*3.14 = 80*3.14

in the year 2002 Andrew was on vacation for 7 months out of the year. What percent of the year did Andrew vacation?

Answers

Answer:

2009

Step-by-step explanation:

2002+7

=2009

Answer:

58.3%

Step-by-step explanation:

Okay, so we know that there are 12 months in a year, and so we need to find what percent 7 is out of 12, so we divide:

7 ÷ 12 = 0.583

0.583 x 100 = 58.3

So, Andrew was on vacation for 58.3% of the year

Tim runs 2.3 miles in 11.2 minutes. If he runs 98 minutes, about how many miles will he run?

Answers

Answer:

20.125miles

Step-by-step explanation:

If Tim runs 2.3 miles in 11.2 minutes, then;

2.3 miles = 11.2mins

To determine Tim's distance if he runs 98mins;

x miles = 98min

Divide both equations

2.3/x = 11.2/98

11.2x = 2.3 * 98

11.2x = 225.4

x = 225.4/11.2

x = 20.125

Hence the must have ran 20.125miles

Graph the linear inequality. y > X+3

Answers

Answer:

i cant graph on here but on the graph move up 1 and right 1 for every dot and start at point (0,3)

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

Pleaseeee helpp answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!

Answers

Answer:

26 cm

Step-by-step explanation:

Answer:

26 cm!

If A extends to O which is half of the rectangle, and we need BD... We times AO by two to get BD. :)

Help me plz, i'll mark brainiest

Answers

Answer:

1. y=ax^2+bx+c, where a,b, and c are real numbers and a doesn't equal zero

2. Parabola

3. Opens upward

4. Opens downward

5. Vertex

6. Axis of Symmetry

7. Zeros, roots, or x-intercepts

8. You are already given the function so

Step 1: FInd Axis of Symmetry

Equation for Axis of Symmetry: x= - b/2a

Step 2: Find Vertex

- The vertex will be on the Axis of Symmetry, so plug in x then find y.

Equation for Vertex: Ex. The vertex is (-5) which is x now we find y by plugging in -5 whenever we see an X. f(x) = -(-5)^2 - 10(-5)-25=0 our vertex would be (-5,0)

Step 3: Draw your coordinates plane and "dash in" the axis of symmetry. Then plot your vertex

Step 4: Plot your y-intercept and the point symmetrical to it. The y-intercept is "c"

Step 5: Find at least other point on the parabola and draw the curve.

What is 5,000 to the power of 3 (quick) need help

Answers

Answer:  125000000000

Step-by-step explanation:

What is 5,000 to the power of 3 ?

» 125,000,000,000

Step-by-step explanation:

5,000 × 5,000 × 5,000

= 125,000,000,000

HOPE IT'S HELP

What is 6/7 Answer quickly please!!

Answers

Answer: 0.8

Step-by-step explanation:

I need help it’s geometry

Answers

Answer:

666666666666666666666666

Answer:8(x+15)

Step-by-step explanation:

$2,400 with a sales tax of 8%
How much is the total cost for the TV?

Answers

With 8% tax of $192, $2,592.

Find the Surface Area​

Answers

Answer:

Step-by-step explanation:

WILL GIVE BRAINLIEST FAST

2 1/8x+3/4x+1/6-7/12x+5 2/3

Answers

Answer:

[tex]2\frac{7}{24x} + 5\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{8x}+ \frac{3}{4x} + \frac{1}{6} - \frac{7}{12x} + 5\frac{2}{3}[/tex]

find a common denominator for the x values: GCD = 24

so multiply each fraction with an x to get the common denominator

[tex]2 [(\frac{3}{3} )(\frac{1}{8x})] + [(\frac{6}{6})(\frac{3}{4x})] + \frac{1}{6} - [(\frac{2}{2})(\frac{7}{12x})] + 5\frac{2}{3}[/tex]

then multiply it out

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5\frac{2}{3}[/tex]

then, find the GCD for the fractions without x: GCD = 3

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5[(\frac{2}{2})( \frac{2}{3})][/tex]

then multiply it out

[tex]2\frac{3}{24x} + \frac{18}{24x} + \frac{1}{6} - \frac{14}{24x} + 5\frac{4}{6}[/tex]

finally, combine like terms:

[tex]2\frac{7}{24x} + 5\frac{5}{6}[/tex]

on the grid below draw a line that is perpendicular to the line AB

Answers

Here’s the answer, hope it helps :)
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