Five years ago, a father was 3 times as old
as his son, now their combined ages amount
to 110 years. How old are they?

Answers

Answer 1

Answer:

Father is 80 years old and the son is 30

Step-by-step explanation:

Let father be x and son be y:

x-5 = 3(y-5)

x = 3y-10 ------ eq1

x+y = 110

x = 110 -y -------- eq2

Now if we combine the 2 equations we get:

3y + y = 110+10

y=30 (sons age)

Substituting in equation 2 we get:

x = 110 - 30

x = 80

Therefore, the fathers age is 80 and the sons age is 30.


Related Questions


Please answer for me

Answers

Step-by-step explanation:

sin b= opposite/hypotenuse

sin b = 60/61

60/61

sin = opposite/hypotenuse

The opposite of b is opposite
The hypotenuse is always 61

Hope this helps

Use point-slope form to write the equation of a line that passes through the point
(-3, -16) with slope – 2/1

Answers

Answer:

y= -2x-22.

Step-by-step explanation:

1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;

2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);

3) the required equation in slope-interception form is:

y+16= -2x-6; ⇒ y= -2x-22.

note, the provided solution is not the only and shortest way.

At the sewing store, Brittany bought a bag of mixed buttons. The bag included 30 buttons, of
which 10% were large. How many large buttons did Brittany get?

Answers

Answer:

3 large buttons

Step-by-step explanation:

Multiply 30 by .10 to get 3 large buttons

what is the value of x?

Answers

Answer:

x=80

Step-by-step explanation:

70 + 30+x =180 (sum of angles in a triangle =180)

x=80

Sorry for the spam, I really need help.

Answers

Answer:

x=8

y=18

Step-by-step explanation:

[tex](3x+13)+(7x-3)=90[/tex]

[tex]10x+10=90[/tex]

[tex]10x=90-10[/tex]

[tex]x=\frac{80}{10} =8[/tex]

[tex]3x+13=3(8)+13=24+13=37[/tex]

[tex]5y=180-37-53=90[/tex]

[tex]y=\frac{90}{5} =18[/tex]

I hope this help you

How do you solve this and find x?

Answers

Answer:

fraction form

x= 2 + ln(30)/ln(7)

decimal form

x= 3.74786969

Step-by-step explanation:

What I like to call the logarithmic equation solver.

Bring it down turn it around.

First bring down the 7 to a ㏒7 and the x-2 so that ㏒7(x-2)=30

Then change the constants from on another so then it would look like

㏒7(30)=x-2

solve for x

to solve do the log base finder equation ㏒(30)/ln(7)

and add 2

X is 3.748

To accomplish this task you have to take the logarithm of both sides of the equation to remove the variable from the exponent.

ln(30)/ln(7)+2

ln(30)=3.401

ln(7)=1.946

3.401/1.946=1.7476

1.7476+2=3.748 after considering all extra decimal places to the closest thousandth.

None sense >report
I. Study the situation below:
Jose wanted to construct a rectangular garden such that its perimeter is 28mn and
its length is 6 times its width.
What are the linear equations that represents the given situation?
II. Answer the following questions:
1. How do you describe a system of linear equations in two variables?
2.
Give at least two examples of systems of linear equations in two variables.
3.
How is the system of linear equations in two variables used in solving in real
life problems and in making decisio?

Answers

Answer:

Radio waves have photons with the lowest energies. Microwaves have a little more energy than radio waves. Infrared has still more, followed by visible, ultraviolet, X-rays and gamma rays.

What is the length of MN


PLZ HELP

Answers

The answer is 5 because you take away an x for 3x to get 2x so 2x=10
Then divide the 10 by 2 to get x=5

HELLLLLLLLPPPPPPPPPPPPP​

Answers

Answer:

C

Step-by-step explanation:

Sana nakatutulong

#Carry on learning

Pa brainliest po

brainly helpppp me out

Answers

Answer:

D

Step-by-step explanation:

I think it might be (D) $2x-5

help me please! find the angles and solve for x!!!

Answers

Answer:

x = 25; 47 degrees, 47 degrees, 86 degrees

Step-by-step explanation:

the two triangles are congruent so they have the same angles

that means 2x - 3 = x + 22

2x - 3 = x + 22

subtract x from each side

x - 3 = 22

add 3 to both sides

x = 25

and this is your answer

assuming that the triangles are isosceles triangles two of the angles are the same

the angles with the x on it are 47 after calculating

that means that the other angle across from it is also 47

a triangles angles added up is 180

47 + 47 + n = 180

the last angle after calculating is 86 degrees

Which expression is equivalent to this expression?

34(4h – 6)
A. 3h – 92
B. 4h + 92
C. 3h – 6
D. 4h + 6

Answers

Answer:

the answer is d

Step-by-step explanation:

Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

Answers

Answer:

2.8 miles

Step-by-step explanation:

Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

7 : 60 = x : 24

x = 7 * 24 : 60

x = 2.8 miles

∆ABC has the vertices A(0,0) B(3,3) C(-3,3). Classify the triangle by its sides. Then determine whether it is a right triangle.

Answers

It’s gonna be b your welcome

Can someone please tell me how to subtract 1 3/8 by 3/4

Answers

Answer:

13/8-3/4. LCM=2×2×2=8

= find the LCM of the denominators. 2 8 4

= 13 -6 /8 2. 4. 2

= 7/8 2 2. 1

; 1. 1

What was the frequency of rolling a sum greater than 5?

Answers

Answer:

on a 6-sided dice, 1/6

Step-by-step explanation:

It costs $120 per week in gas to travel by car to work five days a week. what is the daily expense?

Answers

The answer would be $120 (cost for 5 days a week) / 5 (the days of week)

Result: $24 per day
The Answer is : $24 per day

Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of restarting the investment using the interest earned as principal or cashing out at the end of the 8 months, (A) Calculate the interest due after 8 months. (B) if she restarts the investment into a new one calculate the total value of the investment at the end of the second 8 months

Answers

Using simple interest, we have that:

A) The interest due after 8 months is $11,272.33.

B) The total value of the investment will be of $189,986.24.

The amount of interest earning using simple interest, after t years, with an yearly interest rate of i and an initial investment of P is given by:

[tex]E = Pit[/tex]

In this problem:

Deposit of $178,000, hence [tex]P = 178000[/tex].Interest rate of 9.5% per year, hence [tex]i = 0.095[/tex].8 months, the time is in years, hence [tex]t = \frac{8}{12} = \frac{2}{3}[/tex]

Item a:

[tex]E = Pit[/tex]

[tex]E = 178000(0.095)\frac{2}{3} = 11272.33[/tex]

The interest due after 8 months is $11,272.33.

Item b:

For the second interest, we consider [tex]P = 11272.33[/tex], hence:

[tex]E_2 = Pit[/tex]

[tex]E_2 = 11272.33(0.095)\frac{2}{3} = 713.91[/tex]

The total value will be composed by:

The initial deposit of $178,000.The first interest of $11,272.33.The second interest of $713,91.

Hence, it will be:

[tex]T = 178000 + 11272.33 + 713.91 = 189986.24[/tex]

The total value of the investment will be of $189,986.24.

A similar problem is given at https://brainly.com/question/13176347

a line passes through the point (10,-5) and a slope of -3/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = -3/2x + 10

Step-by-step explanation:

The slope = -3/2

Using the slope = -3/2 and the point (10, -5) substitute into y = mx + b and solve for "b"

y = mx + b

-5 = -3/2(10) + b         -3/2 · 10 = -30/2 = -15

-5 = -15 + b

-5 + 15 = b

 10 = b

The equation of the line is y = -3/2x + 10

I already know the FEC = 90 but whats ABC

Answers

Answer:

it looks like 60

Step-by-step explanation:

write each power as a product of the same factor. Then find the value. 4^4

Answers

Answer:

256

Step-by-step explanation:

4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256

7x-2y=-29
9x+10y=13
emliantion substuion methd

Answers

Answer:

(-3, 4)

Step-by-step explanation:

5(7x - 2y = -29)

35x - 10y = -145

9x + 10y = 13

44x = -132

x = -3

7(-3) - 2y = -29

-21 - 2y = -29

-2y = -8

y = 4

What is the quotient of 9198 and 14?

Answers

Answer:

656.36

Step-by-step explanation:

you just divide then have to round the decimal point to 36

Cooldown
Tyana swims at a constant speed, 4 meters every 5 seconds. How long does it take her to swim 20
meters? Solve using two different methods

Answers

Answer:

25 seconds

Step-by-step explanation:

Two methods:

1)  Calculate Tyana's speed in m/sec:  4m/5sec = 0.8 m/sec.  Now find the number of seconds, x, needed to travel 20 meters:

 x*(0.8 m/sec) = 20 m

x = 20 m/(0.8 m/sec)

x = 25 seconds

2)  Do a proportion.  If Tyana can swim 4 meters in 5 sec, then she can do 8 meters in 10 seconds.  That also then means 16 meters in 20 seconds.  Another 5 seconds adds another 4 meters, for a total of  20 meters in 25 seconds.

PLZ HELP I Will Give points if you answer correctly No links plz just the answer

Answers

Answer:

B.

Step-by-step explanation:

She has created a connection of something physical to express a similar conection with her emotions.

Guve 2 example of measurement length

Answers

Answer:

There are inches, feet, miles, centimeters, meters, kilometers

Step-by-step explanation:

What time does the clock show?
12
11
1
10
2
9
3
8
4
7
6 5

Answers

Answer:

5:20

Step-by-step explanation:

In order to tell the time on an analog clock, we start by looking at the hour (shorter) hand.  On this clock, it is pointing between the 5 and the 6, so we know it's a little after 5 o'clock.

Next, we look at the minute hand.  Each number on the clock represents five minutes past the hour and the minute hand is pointing at the 4, so we know it is 4 x 5 or 20 minutes past the hour.

Therefore, we know that the time is 20 minutes after 5, or 5:20.

The time shown on the clock, obtained by reading the clock is; 5 : 20

How does one read a clock?

Reading an analog clock involves looking at the positions of the clock's hands to determine the time.

The long hand, which is the minute hand of the clock is pointing at the number 4, which indicates that the time is 20 minutes past the hour, because each number on the clock face represents 5 minutes; (4 × 5 = 20). The direction the short hand, which is the hour hand is past the number 5, it indicates that the time is past 5 o'clock.

The position of the hour hand between 5 and 6 indicates that the time shown on the clock is 20 minutes past 5; 5 : 20

Learn more on reading clocks here: https://brainly.com/question/30202307

#SPJ2

if a:b=3:4 and b:c=2:5 find i)a:c and II) a:b:c​

Answers

Answer:

a:c= 3/5 = 0.6

a:b:c= 3/4/5=0.15

What are the coordinates of the midpoint between the points (3,-1) and
(7,-5)
i

Answers

Answer:

(5,-3)

Step-by-step explanation:

y = -1/3x + 3
2x - 3y = -18
pls explain and tell the answer :(

Answers

Answer:

-18=2x-3(-1/3x+3)

-18=2x+x-9

-18=3x-9

-18+9=3x

3x=-9

x=-9

y=-3(-1/3)+3

y=1+3

y=4

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