A father was three times as old as his son fifteen years ago and four times as old as his son nineteen years ago. When was the father twice as old as the son?

Please show the working clearly! ​

Answers

Answer 1

Answer:

The father was twice as old as his son when he (the father) was 62 years old.

Step-by-step explanation:

(Assuming s = current age:)

f = 3(s-15)

f = 4(s-19)

3s-45 = 4s-76

31 = s


Related Questions

Please help me solve this ASAP

Answers

Answer:

6. [tex]\pi = \frac{C}{2r}[/tex]

7. Translation

Step-by-step explanation:

6: To solve for π means to isolate it on one side.

Step 1: Divide both sides by 2r.

[tex]\frac{C}{2r} = \frac{2\pi r}{2r}[/tex] [tex]\pi = \frac{C}{2r}[/tex]

Therefore, π = circumference over twice the radius, or circumference over diameter.

7: #7 is a translation because each point is moving vertically 3 units and horizontally 1 unit (3 units up and 1 unit to the right). If it were a reflection, we'd be able to spot a line of reflection, but there isn't any here. Also, if it were a rotation, the triangle would change the way its angled, and it'd be in a different quadrant

Therefore, this is a translation.


Pls help !! I will like your comments and answer !!!!!

Answers

Answer:

A) Dilated 150% then reflected across the x-axis

Step-by-step explanation:

By counting the squares of shape A, you can see that 2 squares = 100% and 1 square = 50%. You can then count 2 squares into shape B (because that is your starting point) and then count the remaining squares, which is 3. 3 squares is equal to 150% so we know there is a 150% dilation.

We can then also see shape A has been reflected across the x-axis to give shape B.

Expand and simplify:
(x - 3)(x - 1)

Answers

FOIL
(x*x) (x*1) (-3*-1) (-3*x)
x^2 + x + 3 -3x

Answer: x^2-2x+3

Rewrite the quadratic function from standard form to vertex form.

f(x)x^2+6x-5

Answers

Answer:

[tex]y = {(x + 3)}^{2} - 14[/tex]

Step-by-step explanation:

The original equation

[tex] f(x) = {x }^{2} + 6x - 5[/tex]

vertex form

[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]

solve for the x coordinate of the vertex, h

[tex]x = h = - \frac{b}{2a} = - \frac{6}{2(1)} = - \frac{6}{2} = - 3 \\ x = h = - 3[/tex]

substitute -3 back into the original equation to solve for y

[tex]y = { (- 3)}^{2} + 6( - 3) - 5 \\ y = 9 - 18 - 5 \\ y = 4 - 18 \\ y = k = - 14 [/tex]

substitute h and k values into the vertex form

a = 1 So we can omit it

[tex]y = {(x - ( - 3)}^{2} - 14 \\ y = {(x + 3)}^{2} - 14[/tex]

y=−1/2x+3 please guys help

Answers

Answer:

-1/2? i dunno

Step-by-step explanation:

Answer:

[tex]-1/2[/tex]

Step-by-step explanation:

[tex]-1/2[/tex] is the answer because [tex]-1/2[/tex] is the gradient of the line in the slope. 3 is the y inter. Which is where the line goes over the y-axis.

Hope this helps! (^-^)

The image is an example of which types of symmetry?

Answers

Answer:

Reason :

A square possesses reflection symmetry, with four reflection sections,  two on the  side midpoints and two via opposing corners. There are four points in a full 360° movement when the square appears precisely the same. As a result, a square possesses order 4 rotational symmetry about its center of rotation. As a result, the angle of rotation is 90°.

The image has rotational symmetry as well as reflection symmetry. Then the correct option is C.

What is the axes of symmetry?

If a line intersect the shape and the shape look identical on both sides of line, then the line is known as axis of symmetry.

From the graph, we can conclude that the image has rotational symmetry as well as reflection symmetry.

Then the correct option is C.

More about the axes of symmetry link is given below.

https://brainly.com/question/4348533

#SPJ5

Write 1.1x 10-4 in standard form.

Write 2.52 x 10-5 in standard form.

Write 6.25 x 105 in standard form.

Write 4.857x 10 in standard form.

Answers

Answer:

Glad to help..

Step-by-step explanation:

1) 1.1×10-4 standard form- 7

2) 2.52×10-5 standard form- 20.2

3) 6.25×105 standard form- 656.25

4) 4.857×10 standard form- 48.57

Enter the number in standard notation.
6x105 =
Hint: Move the decimal right 5 places.

Answers

Answer:

56

741

147

Step-by-step explanation:

The chosen topic is not meant For use with this type of problem. Try the examples below

56

741

147

What is the equation of a circle with a center of (2,0) and a radius of 7 units?

Answers

Answer:

y^2 + (x - 2)^2 = 49

Step-by-step explanation:

So one pls help plzzzz

Answers

scranton i believe i just learned this too

8. Bir doğru parçasının yuvarlak uzunluğu 7 cm dir. a) Doğru parçasının en küçük uzunluğu kaç cm olabilir? b) Doğru parçasının en büyük uzunlugu kaç cm olabilir?Aciillll​

Answers

Answer:

yfyffyfyfyg

Step-by-step explanation:

xgsxfuftuxfyfjfyfyfyffyfyfygyfdtdtdhfgjhtuydxfyyxff

A random survey showed that 35 out of 52 people plan to vote for Mr Powell for Mayor. About how many people voted in the election, if 525 voted for Mr Powell

Answers

Answer:

780

Step-by-step explanation:

35 out of 52 people voted. You’d have to divide the total votes, 525 by the people that voted, so 35 which would equal 15.

Then, multiply 15 by the total of people that didn’t vote, 52, which would equal 780.

Answer:

780

Step-by-step explanation:

76 people left before the movie ended 124 people remained how many people were in the theater when it was full 

Answers

Answer:

Step-by-step explanation:

124 + 76 = 200 ☺

200 people

if 76 people left but 124 were still there, you’d add 76 and 124, resulting in 200

Finn is walking on a treadmill at a constant pace for 30 minutes. She has programmed the treadmill for a 2-mile walk. The display counts backward to show the distance remaining. Enter and graph the equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking. Then, find and compete the interpretation of the x- and y-intercepts. The equation is f(x) =

Answers

30*2=15miles per min. x*y=d.

Answer:

The equation is

[tex]f(x) = - \frac{2}{30} x + 2[/tex]

Step-by-step explanation:

since the function is

[tex]f(x) = - \frac{2}{30} x + 2[/tex]

The y-intercept is 2 and the x-intercept is 30.

since the treadmill is counting down the slope of the function would be negative. she set the treadmill for 2 minute walk so at 0 minutes she has 2 minutes left. as the treadmill counts down at the 30-minute mark she will have zero minutes left.

please answer quick !!! The intersection of parallel lines b and c and transversal line d form several special angle relationships, as shown in the image below. If ∠1 measures 135°, what is the measure of ∠6? 90° 135° 45° 65°

Answers

Answer:

45

Step-by-step explanation:

1 Which of these equations has infinite
many solutions
6(x+3)+x=7x+2+1
6(x+3)+x=7x+5
6(x+ 3) +x=6x+3+15
6(x+3)+x=7x+9+9

Answers

Answer:

Is, 6x+18+x=7x+2+1

7x+18=7x+2+1

Find the product -6(-3/2)(10
A) -60
B) -90
C) 60
D) 90

Answers

Answer:

[tex]answer = 90[/tex]

PLS HELP WILL MARK BRAINLIEST NO FAKE ANSWERS
What is the degree of 17a⁵ ym²

Answers

Answer:

Polynomial Degree: 8 I hope this helps! : )  

Select all the statements that best describe the graph below.

Answers

The answer is 2 3 6 8

The Correct choices are :

The Rate of change is not constant

The dependent variable is number of book sales

The independent variable is day

The relationship is non - linear

This is a negative relationship

Identify the initial condition in the table.

Answers

Answer:

i had the answer but lost it ill look into more for u

Step-by-step explanation:

The given table can be represented as :

y = -x

And here, initial condition is 0

Anthony drives 15 km at 40 kph and return at the rate of 60kph , what is the average rate for the entire round trip​

Answers

9514 1404 393

Answer:

  48 kph

Step-by-step explanation:

The distance is immaterial, as long as it is the same at both speeds. The total time for some distance d is ...

  t = d/40 +d/60

And the average speed is ...

  2d/t = 2d/(d(1/40 +1/60) = 2/(1/40 +1/60) = 2(40)(60)/(40+60) = 4800/100 = 48

The average rate for the round trip is 48 kph.

_____

Additional comment

This value is called the harmonic mean of the two speeds. It is the reciprocal of the average of the reciprocals of the speeds.

this is the last qestion help plz

Answers

Answer:

$513.75

Step-by-step explanation:

Let h represent the number of hours he worked in a week

An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends.

Hence, his pay Is represented by equation:

$498.75 + $2.50 × x

If he works 6 hours on the weekend in addition to the 35 hours during the week

$498.75 + $2.50 × 6

= $498.75 + $15

= $513.75

Therefore, he earns $513.75

Elizabeth had $44.50. She bought each of her and her four other friends ice cream for $10. Will she have enough money to buy her and her four friends ice cream?

Answers

Answer:

no.

Step-by-step explanation:

44.50/10=4.45

she can buy four people ice cream

Answer:

yes

Step-by-step explanation:

10+10+10+10

the answer is 40 and she have 4.5

Help me solve this ASAP please

Answers

X= - 1836/13

Step 1 -Multiply both sides of the equation by 18
Step 2 - Collect like terms
Step 3 - Swap the sides of the equation
Step 4 - Divide both sides of the equation by 13

What is the scale factor? Polygon FGHIJ is a dilation of polygon ABCDE.

Thanks

Answers

Answer:

1/2 scale factor.

Step-by-step explanation:

The polygon was dialated with a scale factor of 1/2

Hope this helps!

PLEASE HELP ME RIGHT NOWWWW

Answers

Answer:

9. A, C,

10. A, B,

Step-by-step explanation:

State the angle relationship and state the measure of each angle indicated that makes lines u and v
parallel

Thank you smmmmm I will mark you btw !

This is a better pic!

Answers

Answer:

Q9. ?=53° (corr angles, u//v)

Q10. ?=58° (alt angles, u//v)

For what value of x is line f parallel to line g?

Answers

Answer:

13

Step-by-step explanation:

So the concept is that co-interior angles add up to 180 in parallel line. This means:

3x + 9 + 9x + 15 = 180

So we solve for x.

12x + 24 = 180 ( What I did was simplifying the equation).

12x + 24 - 24 = 180 - 24

12x / 12= 156 / 12

x = 13

HOPE THIS HELPED

at the luau, a vender was selling 5 leis for $25. what is the unit price?

Answers

Answer:

$5

Step-by-step explanation:

if 5 leis are worth $25, each lei would be 25/5

25/5 is 5/1, when the denominator is one, that is unit price

the unit price is $5

Andre drove 106 miles in 2 hours. If he continues at this speed; how far can he drive in 5 hours?

Answers

Answer:

265 miles

Step-by-step explanation:

Divide 106 by 2 and get 53. Now you know that Andre rides 53 miles per hour.

To find your answer, Multiply 106 by 2 and get 212. Add 53 to 212.

Result: 265 miles per 5 hours

Therefore, 265 would be your answer.

-kiniwih426

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