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maxonik [38]
3 years ago
7

Ms. Smith’s class raised $525.50 to go on a field trip. They rented a bus for $300 and budgeted $22.75 per student for meals. Th

ey will spend all the money they raised.
Write and solve an equation that models this situation and could be used to determine the number of students that can go on this trip.
Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer:

oui

Step-by-step explanation:

oui oui bagutte

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If 6x^4+8x^3-5x^2+ax+b is completely divisible by 2x^2-5 then find the value of a and b.
mixas84 [53]

Answer:

  • The value of a = -20
  • The value of b=-25

Step-by-step explanation:

Let

p(x)=6x^4+8x^3-5x^2+ax+b

and

q(x)=2x^2-5

As q(x) is exactly divisible, so, the remainder is 0.

∴ p(x)=q(x).g(x)+r(x)

6x^4 + 8x^3 - 5x^2 + ax + b = (\sqrt{2} x - \sqrt{5})(\sqrt{2} x + \sqrt{5}) g(x)

As the R.H.S becomes 0 when x = \sqrt{\frac{5}{2} } and x = -\sqrt{\frac{5}{2} }.

And

by substituting x = \sqrt{\frac{5}{2} }

6(\sqrt{\frac{5}{2} } )^4 + 8(\sqrt{\frac{5}{2} } )^3 - 5(\sqrt{\frac{5}{2} } )^2 + a(\sqrt{\frac{5}{2} } ) + b = 0

25 + 20( \frac{\sqrt{5}}{\sqrt{2}} ) + a( \frac{\sqrt{5}}{\sqrt{2}}) +b =0...[A]

by substituting x = -\sqrt{\frac{5}{2} }

25 - 20( \frac{\sqrt{5}}{\sqrt{2}} ) - a( \frac{\sqrt{5}}{\sqrt{2}}) +b =0.....[B]

Adding Equation [A] and equation [B]

50 +2b =0

b=-25

Subtracting Equation [A] and equation [B]

40(\sqrt{\frac{5}{2} } ) + 2a(\sqrt{\frac{5}{2} } ) =0

a = -20

Therefore,

  • The value of a = -20
  • The value of b=-25

<em>Keywords:</em><em> equation, solution</em>

<em> Learn more about equation solution from brainly.com/question/12687078</em>

<em> #learnwithBrainly</em>

3 0
3 years ago
Help me out homies please
Romashka [77]
So he knows there are definitely 66 trouts as he caught and tagged them.
The next day he caught 52, but 13 of them were already tagged, so were part of the number of trout he caught before.
So he can expect that:
66+(52-13)= 105 trout are in the lake
3 0
3 years ago
Equivalent fractions for 2 4/5 and 2 2/3 plz help I will mark brainliest
elena-14-01-66 [18.8K]

Answer:

24/5: 48/10

22/3: 44/6

plz mark me as brainliest.

5 0
3 years ago
WHOEVER ANSWERS FIRST GETS BRAINLIEST, 5 STARS, AND A THANK YOU.
Arisa [49]

Answer:

I answer first

Step-by-step explanation:

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Terri brought 1.74 meters of rope. Gracie brought 1.64 meters of rope. Who brought more rope
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Answer: Terri brought 10 more centimeters of rope than Gracie.

Step-by-step explanation:

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