We have 3 people: Paul, Daniel and Patricia. Let each name denote that person’s current age in years. Remember that % is the symbol for 1/100.
PAUL: (#A) Paul = Patricia – 2
DANIEL:
(#B) Daniel = 125% * Patricia = 125 * (1/100) * Patricia = 1.25 * Patricia
(#C) Ten years ago, Daniel’s age at that time would have been Daniel’s current age – 10. IE “Daniel – 10”.
Ten years ago, Patricia’s age at that time would have been Patricia’s current age – 10. IE “Patricia – 10”.
Ten years ago, Daniel’s age at that time (IE Daniel – 10) was 50% greater than Patricia’s age at the time (Patricia – 10).
IE
Daniel – 10 = 150% * (Patricia – 10)
Daniel – 10 = 1.50 * (Patricia – 10)
Daniel – 10 = 1.50 * Patricia – 1.50 * 10
Daniel – 10 = 1.50 * Patricia – 15
Daniel = 1.50 * Patricia – 15 + 10
Daniel = 1.50 * Patricia – 5
So now we have 3 equations in 3 unknowns:
(A) Paul = Patricia – 2
(B) Daniel = 1.25 * Patricia
(C) Daniel = 1.50 * Patricia – 5
Solve equations B & C simultaneously
1.25 * Patricia = 1.50 * Patricia – 5
1.25 * Patricia – 1.50 * Patricia = – 5
– 0.25 * Patricia = – 5
Patricia = (– 5) / (– 0.25)
Patricia = + 20
So now we can write the 3 people’s ages:
(a) Patricia = 20
(b) Paul = Patricia – 2 = 20 – 2 = 18
(c) Daniel = 1.25 * Patricia = 1.25 * 20 = 25
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<span>Finally, we check our solution against the original question. </span>
Paul is two years younger than Patricia. ……… 20 – 2 = 18 ✔
Daniel is 25% older than Patricia. ……… 25 = 125% * 20 ✔
Ten years ago, Daniel was 50% older than Patricia. 25 – 10 = 150% (20– 10) ✔
Hope that helped :)
35 And just so you know your teacher is a Satanist xd
Answer:
58
Step-by-step explanation:
remainder 2
Answer:
B
Step-by-step explanation:
Substitute the x value into the right side of the function and if the value obtained is equal to the y value of the point then it is a solution.
(0, - 4) → y = 5(0) - 4 = 0 - 4 = -4 ← True
(2, 6) → y = 5(2) - 4 = 10 - 4 = 6 ← True
(4, 20) → 5(4) - 4 = 20 - 4 = 16 ← False
(4, 16) → 5(4) - 4 = 20 - 4 = 16 ← True
(0, - 4), (2, 6), (4, 16) ← possible inputs and outputs
Answer:
Area = 228 m²
Perimeter = 60 m
Step-by-step explanation:
The figure given shows a rectangle that has a cut triangular portion.
✔️Area of the figure = area of rectangle - area of the triangular cut portion
= L*W + ½*bh
Where,
L = 20 m
W = 12 m
b = 20 - (8 + 8) = 4 m
h = 6 m
Plug in the values
Area = 20*12 - ½*4*6
Area = 240 - 12
Area = 228 m²
✔️Perimeter = perimeter of rectangle - base of the triangular cut portion
= 2(L + W) - b
L = 20 m
W = 12 m
b = b = 20 - (8 + 8) = 4 m
Plug in the values
Perimeter = 2(20 + 12) - 4
= 2(32) - 4
= 64 - 4
Perimeter = 60 m
