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RoseWind [281]
3 years ago
7

Answer this question please

Mathematics
1 answer:
ioda3 years ago
6 0
The 2nd one. The data matches that on the Venn Diagram.

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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
What digit is in the Hundred Thousand Place? 645,892
ASHA 777 [7]
The digit 6 is in the Hundred Thousand Place.
3 0
3 years ago
Read 2 more answers
Jameson Flip a quarter two times in a row. What is the probability that he flipped a heads followed by a tails?
Vadim26 [7]

Answer:

1/4

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
In a genetics experiment on peas, one sample of offspring contained green peas and yellow peas. Based on those results, estimate
dem82 [27]

Complete Question

In a genetic experiment on peas, one sample of offspring contained 436 green peas and 171 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected? The probability of getting a green pea is approximately: Is the probability reasonably close to 3/4?

Answer:

The  probability is  P(g) =0.72

Yes the result is reasonably close

Step-by-step explanation:

From the question we are told that

   The  number of  of  green peas is  g =  436

     The number of yellow peas is  y  = 171

   The sample size is  n  =  171 +  436 =  607

The probability of getting an offspring pea that is green is mathematically represented as

       P(g) = \frac{g}{n}

        P(g) = \frac{436}{607}

        P(g) =0.72

Comparing  P(g) =0.72  to   \frac{3}{4}  =  0.75 we see that the result is reasonably close

7 0
3 years ago
Help how do you do this help fast please
GalinKa [24]

Answer:

x= 50°

Hope it helps!

Step-by-step explanation:

The sum of the exterior angles of a polygon is always 360°

So, x+40+x+20+2x+2x = 360

6x + 60= 360

6x = 360-60 = 300

6x= 300

x= 300/6

= 50

7 0
2 years ago
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