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xenn [34]
1 year ago
7

A father is 28 years older than his son. in 8 years time he will be 3 times as old as his son. how old is the father now?

Mathematics
1 answer:
mariarad [96]1 year ago
6 0

Answer:

34 years

Step-by-step explanation:

f = s + 28          Eq. 1

f+8 = 3(s+8)      Eq. 2

f = father age

s = son age

replacing Eq. 1 on Eq. 2

(s+28) + 8 = 3(s+8)

s + 36 = 3*s + 3*8

s + 36 = 3s + 24

36 - 24 = 3s - s

12 = 2s

12/2 = s

s = 6

from the Eq. 1

f = 6 + 28

f = 34

Check

from the Eq. 2

34+8 = 3(6+8)

42 = 3*14

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The first term of an Arithmetic progression is 3and the last term is 9, find the number of terms in the progression if the commo
makvit [3.9K]

Answer:

n = 5 terms

Step-by-step explanation:

An = a1 + (n-1)d

9 = 3 + (n-1) 3/2

9 = 3 + 3/2n - 3/2

9 = 3/2 + 3/2n

9 - 3/2 = 3/2n

(15/2) / (3/2) = n

30/6 = n

7 0
2 years ago
How much power is done when a 1 newton weighted object is raised a vertical distance of 1
STatiana [176]

Answer:

P = 1W

Step-by-step explanation:

The power is the work done by a force, divided by the time it needed. The work of weight, since the object is raised is equal to:

W = weight × distance = 1 × 1 = 1 Joule

W = 1 J

P = W/t = 1 J / 1 s = 1 Watt

So P = 1 Watt

7 0
3 years ago
What is they answer on the sheet of paper for my homework
geniusboy [140]
Um not sure but thanks for asking:)
3 0
2 years ago
the length of a rectangle is five feet less than its width. If the area of the rectangle is 84 square feet, find its dimensions
KIM [24]
Let
x---------> the length of the rectangle
y--------> the width of the rectangle

we know that
A=84 ft²
[area of rectangle]=x*y-----> 84=x*y-----> equation 1
x=y-5------> equation 2
substitute 2 in 1
84=[y-5]*y-----> 84=y²-5y---------> y²-5y-84=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
y=12
x=y-5-----> x=12-5-----> x=7

the answer is
the length of the rectangle is 7 ft
the width of the rectangle is 12 ft

6 0
3 years ago
What are the remaining angle measures if the figure is to be a parallelogram?
goldfiish [28.3K]

The correct answer is  

m∠B ==101°,

m∠C =79°,

m∠D=101°

Step-by-step explanation:

  • As we know that, it is a parallelogram opposite angels are congruent
  • Therefore,  m∠A = m∠C and m∠B =m∠B
  • As we know that, If side a=79 then side c must also be equal to 79
  • When we consider all the angles and add them it must be equal to 360°
  • When we add 79+79 = 158°, which mean a=c= 158°
  • By subtracting all the sides of parallelogram which is 360- 158= 202°
  • If we divide it by 2 then we will get the value of the other side of the angle which is  b and d.
  • Dividing 202 by 2
  • \frac{202}{2} = 101°
  • Therefore, the value of b=d=101°
  • A Parallelogram is a flat shape with an opposite sides parallel and they are equal in length.
  • A parallelogram has four sides, and the opposite sides are parallel and they don't intersect.
3 0
3 years ago
Read 2 more answers
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