Who can help me out on this please??

Paul is two years younger than Patricia. Daniel is 25% older than Patricia. Ten years ago, Daniel was 50% older than Patricia. H

Sergeeva-Olga [200]

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

<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 :)

5 0

3 years ago

A car costs £14000. What would the price be after an 8% discount

blondinia [14]

14000/100=140 (1%)
140 x 8 = 1120

8%= £1120

6 0

3 years ago

Which of the following shows the polynomial below written in descending order?

Juli2301 [7.4K]

Answer:

A

Step-by-step explanation:

The values must decrease
x∧12≥3x∧7≥4x³≥9x

4 0

3 years ago

Only the function represented by graph has an inverse function.

Arlecino [84]

Answer:

Only the function represented by graph 2 has an inverse function

Step-by-step explanation:

* Lets explain the inverse of the function

- The Function is a relation between x-coordinates and the y-

coordinates of the order pairs under the condition every

x-coordinate has only one y-coordinate

- Ex: R = {(2 , 3) , (1 , 5) , (-2 , -3)} is a function because every x-

coordinate has only one y-coordinate and R = {(2 , 3) , (-1 , 4) ,

(2 , 5)} not a function because the x-coordinate 2 has two y-

coordinates 3 and 5

- We use the vertical line to test the graph is function or not, if

the vertical line intersects the graph in one point then the

graph is function if intersects it in more than one point then the

graph is not function

- We have two types of function one-to-one function and

many-to-one function

# one-to-one function means every x-coordinate has only 1 y-coordinate

# many-to-one function means some x-coordinates have only 1

y-coordinate

- We find the inverse function by switching x and y, then one-to-

one function has inverse but many-to-one has not inverse

because when we switched x and y it will be one-to-many

means one x-coordinate has many y-coordinates and this is not

a function

- We use the horizontal line to test the graph of the function has

inverse or not, if the horizontal line intersects the graph in one

point then the function of the graph has inverse if it intersects

the graph in more than one point ,then the function of the

graph has no inverse

* Now lets test all the graphs by using the horizontal line

# graph 1

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 1 has no inverse

# graph 2

∵ The horizontal line cuts the graph in just 1 point

∴ The function of graph 2 has inverse

# graph 3

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 3 has no inverse

# graph 4

∵ The horizontal line cuts the graph in more than 1 point

∴ The function of graph 4 has no inverse

* Only the function represented by graph 2 has an inverse function

4 0

3 years ago

Write a multiplication equation using one whole number and one fraction that have a product18/8

kotegsom [21]

1/4 * 9 = 18/8
I hope this helped :)

8 0

3 years ago