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Hunter-Best [27]
3 years ago
5

72 21/64 being simplified as a fraction if right ill do 5 star

Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer:

4629/64 or 72 21/64

Step-by-step explanation:

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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>
</span>

<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
To display The number of female members in band class over the past five years use a
Alina [70]

Answer:

For the 1st row its Line Graph and Changes over time.

For the 2nd Row its Bar Graph and Categorical.

Step-by-step explanation:

7 0
3 years ago
BD is a diameter of circle Q. If M_ACB=30°, what is M&lt;DBA?
Papessa [141]
I also agree with answer C
8 0
3 years ago
X-y=1,y=5<br> What is the answer to this problem ?
Karo-lina-s [1.5K]

Answer: x = 6 y = 5

Step-by-step explanation: coz I juss know

8 0
3 years ago
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Can someone help me with 9,10,11 ?
sergij07 [2.7K]
I could be wrong but i graphed it out and 9 is C , 10 is A , and 11 is C Hopefully it's right
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