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slamgirl [31]
1 year ago
13

A machine should fill a bag with 50 pounds of sand. The actual mass is allowed to vary by up to 2 ounces. Write and solve an abs

olute value equation to find the minimum acceptable masses for the sand of bag
Mathematics
1 answer:
34kurt1 year ago
6 0
Well i think it would be best if you can
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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
A varies directly as b. If A = 3 when b = 24, find b when A = 10
Lelechka [254]
240................................ It had to be 20 characters so sorry for the large answer <span />
4 0
3 years ago
Please answer seriously thanks !! will give brainliest
deff fn [24]

Answer:

Step-by-step explanation:

21) CD -  chord   (segment)

22)FG - line

23) EC  - segment -  diameter

24) AB - segment - radius

25) H - Point

26) A - Point

4 0
3 years ago
Please may you do the whole page for 30 points thanks
Ostrovityanka [42]
4 A) 1/6
4 B) 1/45
4 C) 2/3
4 D) 3/5
5 0
3 years ago
Complete the following proof.
timofeeve [1]

Statement:

1. RS tangent to Circle A and Circle B at points R and S

2. AR ⊥ RS, BS ⊥ RS

3. AR ║ BS

Reason:

1. Given

2. Radius ⊥ to tangent

3. 2 lines ⊥ to same line are ║

100% Correct

~Hope it helps~ :)


4 0
3 years ago
Read 2 more answers
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