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

(5 + 3) − (−3 − 7) − 2
What's the answer

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

8 - ( - 3 - 7 ) - 2

8 - ( - 10 ) - 2

8 + 10 - 2

18 - 2

16

The product of two rational numbers:

Answers

Answer:

"The product of two rational numbers is rational."

So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication. Thus, multiplying two rational numbers produces another rational number.

Step-by-step explanation:

Answer: Is a rational number.

Step-by-step explanation: Two rational numbers produces another rational number. "The product of two rational numbers is rational." So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.

At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill. What is the tax rate for meals in this city

Answers

answer is 8.5% ......

Answer:

8.5

Step-by-step explanation:

1.87/22 = 0.085 x 100 = 8.5%

please help! i need help

Answers

photo is not clear send clearer image

i will give you brainliest whoever answers correct first!!

Answers

Answer:

X = 24

Step-by-step explanation:

180 - 156 = 24

These are supplementary and equal to 180.

5.
0.5, 1.4, 3.0, 7.0, 0.5, 1.8, 0.5
Mean
Median
Mode

Answers

Answer: mean- 2.1

Median- 1.4

Mode- 0.5

Step-by-step explanation:

the total cost of kurts required textbooks this quarter is $342.50. optional textbooks cost a total of $65.25. whicg inequality shows the total cost C that kurt could pay for his textbooks?

Answers

Answer:

342.5 + 65.25 = C

407.75 = C

Step-by-step explanation:

Given that the total cost of Kurt's required textbooks this quarter is $ 342.50, while optional textbooks cost a total of $ 65.25, to determine which inequality shows the total cost C that Kurt could pay for his textbooks, the following mathematical reasoning must be performed:

Mandatory books + optional books = Cost

342.5 + 65.25 = C

407.75 = C

Thus, Kurt could pay a total cost of $ 407.75 for his textbooks this quarter.


Machine A and machine B both make car parts.
Machine A makes 7 parts every 10 minutes.
Machine B makes M6 parts every 15 minutes,
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday

Answers

Machine A : 504
Machine B : 240?


Can someone please help me

Answers

Answer:

3a⁴b³

Step-by-step explanation:

subtract exponents and divide numbers

3a^4 b^3 not sure but this is what i got

The diameter of the circle shown below is 12. What is the area of the circle?
12
7

Answers

Answer:

113.1 square inches.

Four pounds of apples cost $5. Eight pounds of apples cost $10. If the total cost of apples, y, varies directly with the number of pounds of apples purchased, x, what is the cost of 6 pounds of apples? Round your answer to the nearest hundredth.

$0.80
$1.25
$4.80
$7.50

Answers

Cost of apples, y, varies directly with pounds

of apples purchased, x.

y = kx

k is constant of proportion

Four pounds of apples cost $5

5 = 4k

k = 5/4 = 1.25

10 = 8k

k = 10/8 = 1.25

As it should be, k is a constant equal to 1.25

y = 6(1.25) = $7.50 for 6 pounds of apples

Answer:

the answer is D

Step-by-step explanation:

i took the test on edg your welcome

Find the slope of the line that passes through (10, 6) and (7, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-1 1/3 - Proper Fraction

-4/3 - Improper Fraction

Step-by-step explanation:

(10,6) (7,10)

 m = [tex]\frac{rise}{run}[/tex]

your "equation" should look like this: [tex]\frac{10-6}{7-10} =\frac{4}{-3} = -1\frac{1}{3}[/tex]

I hope this helped!!!!

2.50 divided by 5 stepbystep

Answers

Step-by-step explanation:

it is just 2.50 divided by 5 will give you 0.5

Kathy has 8 feet of ribbon. How many inches of ribbon does she have?
Isabella’s room is 4 yards wide. How many feet wide is her room?

Answers

Answer:

96 inches, and 12 feet

Step-by-step explanation:

There are 12 inches in every foot, so I multiplied 8 times 12, which is 96. Then, there are 3 feet in every yard, so I multiplied 4 times 3, which is 12. I hope this helps :)

what is four times the sum of twelve and a number in algebraic expression ​

Answers

(12 + x) X 4.
EXPLANATION
Replace twelve with 12.
Replace the sum with a +
Replace a number with a variable
replace four times with X 4.
Have a gud day

Find the value of x that would prove this is an isosceles trapezoid. Then find each segment length.

Answers

Answer:

Check pdf

Step-by-step explanation:

40÷ 1/25
1/3÷15
Change this mixed number into a improper fraction 3 5/9
11/15×3/44
1/8×32
54 1/2-42 3/4
3/4-1/2
15/16-7/16
Find the common denominator 3/5 and 7/9
Find the common denominator 3/9 and 1/4
Help please!!!

Answers

#1. 1000
#2. 1/45 (decimal is .02 with the line above the two
#3. 32/9
#4. 1/20 (decimal form .05
#5. 4
#6. 47/4 (decimal is 11.75)
#7. 1/4 (decimal 0.25
#8. 1/2 decimal is 0.5
#9. 45
#10. 12

I really hope this help

marco set aside 50 minutes

Answers

Answer:

So what's the Question Because to me it looks like something random

A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 115,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 6% each year. How many total fish did the company catch over the first 20 years, to the nearest whole number? ​

Answers

Answer:

Rounded to the nearest whole number, the company caught 1,360,630 fish in total over the 20 years.

Step-by-step explanation:

Given that a major fishing company does its fishing in a local lake, and the first year of the company's operations it managed to catch 115,000 fish but due to population decreases, the number of fish the company was able to catch decreased by 6% each year, to determine how many total fish did the company catch over the first 20 years, to the nearest whole number, the following calculation must be performed:  

Year 1: 115,000

Year 2: 115,000 x 0.94 = 108,100

Year 3: 108,100 x 0.94 = 101,614

Year 4: 101,614 x 0.94 = 95,517.16

Year 5: 95,517.16 x 0.94 = 89,786.13

Year 6: 89,786.13 x 0.94 = 84,398.96

Year 7: 84,398.96 x 0.94 = 79,335.02

Year 8: 79,335.02 x 0.94 = 74,574.92

Year 9: 74,574.92 x 0.94 = 70,100.42

Year 10: 70,100.42 x 0.94 = 65,894.40

Year 11: 65,894.40 x 0.94 = 61,940.73

Year 12: 61,940.73 x 0.94 = 58,824.29

Year 13: 58,824.29 x 0.94 = 54,730.83

Year 14: 54,730.83 x 0.94 = 51,446.98

Year 15: 51,446.98 x 0.94 = 48,360.16

Year 16: 48,360.16 x 0.94 = 45,458.55

Year 17: 45,458.55 x 0.94 = 42,731.03

Year 18: 42,731.03 x 0.94 = 40,167.17

Year 19: 40,167.17 x 0.94 = 37,757.14

Year 20: 37,757.14 x 0.94 = 35,491.71

TOTAL: 1,360,629.60

Thus, rounded to the nearest whole number, the company caught 1,360,630 fish in total over the 20 years.

PLEASE HELP WITH THE FOLLOWING. WILL GIVE BRAINLIEST. THANK YOU

Answers

Answer:

50.8°

Step-by-step explanation:

First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.

2√15² = 2√6² + b²

60 = 24 + b²

Subtract 24

36 = b²

b = 6

Now, that we have all three sides, we will use the law of cosines to figure out the angle.

c² = a² + b² - 2abCosC°

Substitute the values in.

6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°

36 = 60 + 24 - 2(37.947331922)CosC°

36 = 60 + 24 - 75.894663844CosC°

36 = 84 - 75.894663844CosC°

Subtract 84

-48 = -75.9CosC°

0.63241106719 = CosC°

Arccos (0.63241106719) = 50.77176844°

The largest acute angle is approximately 50.8°

Samantha is making a trapezoidal picture frame. She measured the frame. One of the bases is 6.5 cm and the height is 8 cm. What must the length of the other base be in order for the area of the frame to be between 45 2 and 60 2 ? Circle all that apply

Answers

Answer:

between 45 and 60?

Step-by-step explanation:    

5.5 and  8,

question is in the attchment

Answers

Answer: A: (-3, -1) B: (4, -3)

Step-by-step explanation:

Using two or more complete sentences, describe and correct the error in the solution.

Solve the system of equations.

3x - 2y = 2

9x - 6y = 6

3x - 2y = 2 → 9x - 2y = 6
9x - 6y = 6 → 9x - 6y = 6
-8y = 12
y = 1.5
3x - 2y = 2 → 3x - 2(1.5) = 6
3x - 3 = 6
3x = 9
x = 3​

Answers

Answer:

In the very first step, when they multiply both sides by 3 the -2y should become -6y but instead it stays as -2y. The correct solution would be:

9x - 6y  =6

9x - 6y = 6

0 = 0

This means there are infinite solutions.

Convert:
150 oz =
Lb
OZ

Answers

Answer:

9.375

Step-by-step explanation:

Answer:

9.375

Step-by-step explanation:

divide the mass value by 16.

150 / 16 = 9.375

Tony wants to
make a line plot of the distances he rode
his bike last week. He rode the following
distances in miles:
3, 4 1/2, 6, 3, 5 1/2, 3, 5 1/2
Make a line plot for the distances Tony rode.

Answers

Which of the following characteristics does The Love

I need help with these two questions please

Answers

Answer:

1) Option (b) 32km

2) Option (c) 17

Step-by-step explanation:

According to Pythagoras Theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

1) Perpendicular=?

Base=24km

Hypotenuse=40km

40²=P²+24²

1600=P²+576

1600-576=P²

1024=P²

√1024=P

32=P

2) Perpendicular=15

Base=8

Hypotenuse=?

H²=15²+8²

H²=225+64

H²=289

H=√289

H=17

A family wants to rent a car to go on vacation. Company A charges ​$35.50 and 11¢ per mile. Company B charges ​$60.50 and 14¢ per mile. How much more does Company B charge for x miles than Company A​?

Answers

Answer:

$30 and 1 cent more

Step-by-step explanation:

$60.50 - $30.50 = $30

0.12 - 0.11 = 0.01

x^{2} -17x-60=
please give me the answer

Answers

Answer:

60

Step-by-step explanation:

FREE BRAIN LIST NEED HELP ASAP

Answers

Answer:

i am not to sure but i thinks it D and can you help me with mine i really need help i will give brainlest too

Step-by-step explanation:

Answer:

D) 9.8

Step-by-step explanation:

Because you use h^2 = a^2 + b^2

and yiu rearranged the equation for one of the sides to get x = square root of h^2 and b^2 and get 9.79... which rounds to 9.8

John bought 18 pizzas. Mitchel bought 12 pizzas. What percent of the total number of pizzas Mitchel buy?

Answers

Answer: 40%

Step-by-step explanation: The total number of pizzas is 12 + 18 = 30. Mitchel bought 12 of those 30 pizzas. To find the percentage you do the portion/total. Thus 12/30 = 0.4, as a proportion. To turn a proportion into a percentage simply multiply by 100. 0.4 * 100 = 40%

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