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Mathematics

1 answer:

Darina [25.2K]3 years ago

4 0

Answer:

I am going to have to go with B. (How many text messages do you send each day?) This will get you the data needed because it is specific. D would also work but I went with C because D is less informative and less specific about how often people use their phones. Hope that this helped! Please tell me if you have any more questions! Have a great day!

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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

Finally, we check our solution against the original question. 
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 is the solution of the following question? x^2+10x+25=12

zalisa [80]

Make equal to 0
minus 12from both sides
x^2+10x+13=0
we can't factor so use quadratic formula

x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$
x= $\frac{-10+/- \sqrt{10^{2}-4(1)(13)} }{2(1)}$
x= $\frac{-10+/- \sqrt{100-52} }{2}$
x= $\frac{-10+/- \sqrt{48} }{2}$
x= $\frac{-10+/- 4\sqrt{3} }{2}$
x= $-5+/- 2\sqrt{3}$

x= $-5+ 2\sqrt{3}$ or $-5- 2\sqrt{3}$

aprox
x=-1.5359 or -8.4641

3 0

2 years ago

Read 2 more answers

What is the slope-intercept equation of the line below?

yKpoI14uk [10]

Slope is known as rise over run. Because the line is pointing "\", it is negative.

The rise, the distance from one point to another, specifically from (0,4) to (1,1) is 3, as 4-1=3. your run is 1-0=1.

So your rise over run is -3/1 or, -3.

Your y-int is where when x=0, y=?

In this case y=4 when x=0.

Your equation is

y=-3x+4