the sumof the present ages of a father and his son is 60 years. 6years ago, the father's age was 5 times the age of his son.after 6 years, how old will the son be?​

Answers

Answer 1

Answer:

20 years

Step-by-step explanation:

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

54 - x = 5x - 30

6x = 84

x = 14.

Son's age after 6 years = (x+ 6) = 20 years..

I hope this helps a little bit.


Related Questions

What is the value of z in the equation 10z + 15 = -5

Answers

Answer:

Z = 2

Step-by-step explanation:

10z+15=-5

subtract 15 from both sides

10z=-20

divide both sides by 10, leaving z by itself.

20 divided by ten is 2

so z =2

what is the answer to 0.657/9 ?

Answers

Answer:

the answer is 0.073

Step-by-step explanation:

0.657/9= 0.073

A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings?
6 cups
3 and one-third cups
two-thirds cups
StartFraction 2 over 15 EndFraction cups

Answers

Answer:

8/3

Step-by-step explanation:

Answer:

3 1/3

Step-by-step explanation:

sorry

8) Which equations below would be parallel by just looking at the
equations

1. y=2x + 10 and y= 3x -12
2. y= 4x -2 and y= 4x + 3
3. y=10 and y= 15x
4. not given

Answers

Answer: y=4x-2 and y=4x+3

URGENT!!!!!! What is the length of the major axis of the conic section shown below?

Answers

the length of the major axis is equal 2 · 7 = 14

Step-by-step explanation:

Nun

The equation below describes a parabola. If a is negative, which way does the parabola open? x = ay^2?
A. Left
B. Up
C. Right
D. Down​

Answers

The parabola x = ay^2 opens (a) left, if a is negative

How to interpret the parabola?

The equation of the parabola is given as:

x = ay^2

From the question, we understand that a is negative

This means that

a < 0

When a is negative, then the parabola opens to the left

Hence, the parabola opens (a) left

Read more about parabolas at:

https://brainly.com/question/1480401

10
On a map scale, 2 inches represents 60 miles. Which graph best shows the relationship between x, the
number of inches on the map, and y, the actual distance in miles?
A
Map Scale
с
Map Scale
Actual Distance (miles)
225
200
175
150
125
100
75
Actual Distance (miles)
225
200
175
150
125
100
75
50
25
50
25
0 1 2 3 4 5 6 7 8 9
Number of Inches on Map
0 1 2 3 4 5 6 7 8 9
Number of Inches on Map
B
Map Scale
D
Map Scale
y
225
200
E 175
8 150
Actual Distance (miles)
125
Actual Distance (miles)
225
200
175
8 150
125
100
75
50
25
100
75
50
25
0
0
1 2 3 4 5 6 7 8 9
Number of Inches on Map
1 2 3 4 5 6 7 8 9
Number of Inches on Map

Answers

Answer: it’s C

Step-by-step explanation:

An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $1300 and her stock in Company B was worth $4820. The stock in Company A has decreased 22% since last year and the stock in Company B has decreased 25%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

The answer is 6073 !

Answer:

24.4%

Step-by-step explanation:

Helppp pleaseee
McLeod Industries offers employees a pension plan where the retiree will get 2% of
the average of the final four year salaries times the number of years they were
employed. If their final four year salaries were $92,400, $95,200, $98,100, and
$101,000 respectively, and the employee's yearly pension is $54,138, how many
years were they employed by McLeod Industries?
A. 25 years
B. 28 years
C. 30 years
D. 33 years

Answers

B.28 Years Hope it help

You have different lengths of material to use for a craft project:

0.93m 1.24m 0.62m 3.41m 1.5m 1.4m

Convert each length to centimetres, and then add them together to correctly calculate the total length.

Answers

Answer:

[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]

[tex]Total := 910cm[/tex]

Step-by-step explanation:

Given

[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m[/tex]

Required

Convert to length and calculate the total

To calculate to centimeters, we simply multiply each length to 100.

So, we have:

[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m) * 100[/tex]

[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]

The total is:

[tex]Total := 93cm+ 124cm+ 62cm+ 341cm+ 150cm+ 140cm[/tex]

[tex]Total := 910cm[/tex]

There is 12/15 of pizza left. How many 4/10 pieces can be made from the leftover pizza?​

Answers

Answer:

there will be 1/5 left over pizza to make a nother pizza. this is making me hungry.

Can someone please help

Answers

Answer:

5y + 8

and

8y +5 are the same solutions.

Rashads teacher buys paperback books for her classroom library. Each book costs $6, and she spends a total of $150. Which equation models the number of books, n, she buys? A. 6n=150 B. n/6=150 C.150-n=6 D. 6•150=n

Answers

Answer:

A  

Step-by-step explanation:

6n=150

270 because yea hahahahaha

pls pls pls pls helpppp it's 12:10am

Answers

Answer:

I guess it will be (D) 4/3=$4.41/x

40 points and will mark brainliest
The table shows five transactions and the resulting account balance in a bank account, Three numbers are missing. Select the answer that has the missing numbers that best completes the table.
Transaction Amount Account Balance
Transaction 1 200 200
Transaction 2 -140 60
Transaction 3 50 A) ?
Transaction 4 -210 B) ?
Transaction 5 C) ? 0
Group of answer choices
A) 110 B) 100 C) -100
A) 110 B) -100 C) 100
A) 10 B) -200 C) 200
A) 50 B) -210 C) 0

Answers

Answer:

what she said

Step-by-step explanation:

I need help with this question please

Answers

Answer:

C.

Step-by-step explanation:

Given

[tex]A =(x_1,y_1)[/tex]

[tex]B =(x_2,y_2)[/tex]

[tex]C =(x_3,y_3)[/tex]

[tex]D =(x_4,y_4)[/tex]

Required:

Which condition proves that AB is perpendicular to CD

First, calculate the slopes of both.

For AB

[tex]m_1 = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

For CD

[tex]m_2 = \frac{y_4 -y_3}{x_4 - x_2}[/tex]

The condition of perpendicularity is:

[tex]m_1 * m_2 = -1[/tex]

Substitute values for m1 and m2

[tex]\frac{y_2 -y_1}{x_2 - x_1} * \frac{y_4 -y_3}{x_4 - x_2} = -1[/tex]

Option (c) is correct

Pls help asap giving 10 points
Don’t mind the answer I accidentally clicked

Answers

Answer:

18.08 ft. (You were right congrats!)

Step-by-step explanation:

24 = b

217 = A

In this you are solving for h.

Formula for area of triangle = bh/2

Isolate h = 2 x A/b

2 x 217/24 = 18.08.

Answer:

The answer is 18.08 thanks for the points

2 over 3 of 1 half =????

Answers

Answer:0.33333333333

Step-by-step explanation:no need

The population of a city has been increasing by 2% annually. In 2000, the population was 315,000. Predict the population of the city in 2020. Round your answer to the nearest thousand.​

Answers

Answer:

In 2020 there will be 468,073 people.

Step-by-step explanation:

Giving the following information:

Growth rate (g)= 2% = 0.02

Population 2,000= 315,000

Number of periods (n)= 20 years

To calculate the population in 2020, we need to use the following formula:

FV= PV*(1+g)^n

FV= 315,000*(1.02^20)

FV= 468,073

In 2020 there will be 468,073 people.

Sharon is using a calculator to find out how many hours she has spent on a certain job.She divides,and her display reads:​

Answers

what does it read????

i want to answer the question but i dont have any information

According to a recent poll on the Prevention magazine Web "Most people (56%) reported that even though they are overweight, their doctor never discusses the role of weight in leading a healthy life. Only 14% indicated that it was not an issue because they are already in good shape." The Prevention magazine survey results are provided using _____ to present the statistics.

Answers

Answer: text presentation

Step-by-step explanation:

The results of the Prevention magazine survey are provided using the text presentation to present the statistics.

Text presentation of data simply refers to the presentation of data in words, and sentences. It enables the researcher present qualitative data which cannot be done using graphics or tables.

A company makes fifty-six million, nine hundred two thousand, one hundred twenty six widgets each year. what is this number in stardard form?​

Answers

50,000,000+6,000,000+900,000+2,000+100+20+6

Dollhouse furnishing comes in different sizes depending on the size of the dollhouse. Write a ratio of the size of the dollhouse item to the size of the larger item.
dollhouse sofa: 112 in. long
real sofa: 6 ft long

Answers

Answer:

20ft

Step-by-step explanation:

The ratio of the size of the dollhouse item to the doll house is 14 : 9.

What are ratios?

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

What are the ratios of the dollhouse item to the doll house ?

First convert feet to inches

1 feet = 12 inches

12 x 6 = 72 inches

dollhouse item : doll house

112 : 72

14 : 9

To learn more about ratios, please check: https://brainly.com/question/25927869

PLEASE HELP ILL GIVE BRAINLIEST PLEASE

Answers

Answer:

-4, -4.3, and -4.43

Step-by-step explanation:

Is x + 1/2 = x - 1/2 true or false

Answers

Answer:

I believe it is false

In the figure below, line a || line b If m<2=78 degrees which of the following angles also measure 78 degrees select all that apply

Answers

Answer:6

Step-by-step explanation:

Angle 2, angle 6, angle 4, and angle 8 have the same measure that is 78 degrees and this can be determined by using the corresponding angle property.

GIven :

In the given figure, line a parallel to line b.Angle 2 = 78 degrees.

The following steps can be used in order to determine the other angles whose measure is 78 degrees:

Step 1 - The corresponding angle property is used in order to determine the other angles whose measure is 78 degrees.

Step 2 - According to the given figure, angle 2 and angle 6 are corresponding angles. Therefore, the measure of angle 6 is also 78 degrees.

Step 3 - Angle 8 is the opposite angle of angle 6 therefore, the measure of angle 8 is 78 degrees.

Step 4 - Angle 4 is the opposite angle of angle 2 therefore, the measure of angle 2 is 78 degrees.

Therefore, the correct options are B), D), and F).

For more information, refer to the link given below:

https://brainly.com/question/10714897

A.5x=3x

B.5=3

how can we get equation B from equation A?

Answers

9514 1404 393

Answer:

  divide by x

Step-by-step explanation:

To answer your question, you can get from A to B by dividing by x:

  [tex]5x=3x\\\\\dfrac{5x}{x}=\dfrac{3x}{x}\qquad\text{only if $x\ne0$}\\\\5=3[/tex]

However, this is only a valid operation if x ≠ 0. In this equation, x = 0, so that division is not valid.

__

A better approach to the solution is to put the equation in standard form:

  f(x) = 0

You can get there by subtracting 3x from both sides.

  5x -3x = 3x -3x

  2x = 0

Now, you can legitimately divide by 2 to find ...

  x = 0 . . . . . . . . the reason why dividing by x is not allowed

Y=3(x+2)^2-3 in standard form

Answers

Y= x2 - 12x + 15   Y=3(x+2)^2-3 in standard form

4.5m + 8 - 2.3m - 3.5

Answers

Answer:

494235234934-1304039445

Step-by-step explanation:

4r567890e-r0987ytdghcn

Can the table below represent values of a function? explain why.

Answers

Try it yourself, I'll explain the concept

In a function, each x-value matches to exactly one y-value

If it matches to more than one y-value, it is not considered a function

Now look at the x and y values in each table to determine if it is a function or not

:)

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