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damaskus [11]
3 years ago
11

3 and 1/4 times -2 and 3/5? Answers: A. -8 9/20 B. -6  and 3/20 C. 6 and 3/20 D. 8 and 9/20

Mathematics
2 answers:
sashaice [31]3 years ago
6 0
3\frac{1}{4}*(-2\frac{3}{5})= \frac{13}{4}*(-\frac{13}{5})=-\frac{13*13}{4*5}=-\frac{169}{20}=-8\frac{9}{20}
wolverine [178]3 years ago
6 0
3\frac{3}{4}\cdot(-2\frac{3}{5})=\frac{3\cdot4+1}{4}\cdot\left(-\frac{2\cdot5+3}{5}\right)=\frac{13}{4}\cdot\left(-\frac{13}{5}\right)=-\frac{13\cdot13}{4\cdot5}=-\frac{169}{20}=-8\frac{9}{20}\\\\\\Answer:A
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if alpha and beta are the roots of the equation 3x^2-9x+2=0 find the values of: (I) alpha ×beta + alpha^2 × beta. (ii) alpha^2-a
Kryger [21]

Answer:

in steps

Step-by-step explanation:

The question did not state if alpha>beta or alpha<beta, so the answer will have 2 answers  for each questions

3x²-9x+2=0

x = (-(-9) ± √(-9)²-4*(3)*(2)) / (2*3)

x = (9 + √57) / 6   or x = (9 - √57) / 6      (alpha and beta) or (beta and alpha)

(I) alpha (a) ×beta (b) + alpha² × beta = ab (1+a)

   = ((9 + √57) / 6) ((9 - √57) / 6) (1 + (9 ± √57))  

   = ((9² - (√57)²)/36) (10 ± √57)

   = (24/36) (10 ± √57)

   = 2/3 (10 ± √57)   or (11.7 or 1.63)

(ii) alpha²-alpha×beta+beta² = a² -2ab + b² +ab = (a - b)² + ab

if a is alpha    

=​ ((9 + √57) / 6) - ((9 - √57) / 6)) + ((9 + √57) / 6) ((9 - √57) / 6))  

    = √57/3 + 2/3

     = (√57 + 2) / 3

if a is beta

((9 - √57) / 6) - ((9 + √57) / 6)) + ((9 - √57) / 6) ((9 + √57) / 6))  

    = - √57/3 + 2/3

     = - (√57 + 2) / 3

3 0
3 years ago
What is the value of 38.07÷9.4. <br><br>F)0.1453<br>G)1.453<br>H)14.53<br>I) 145.3
Natasha_Volkova [10]
I'm pretty sure the answer is G. I'm not 100% sure tho. Hope this helps! :)
5 0
3 years ago
Please help me and explain
MatroZZZ [7]

Answer:

the answers would be 12/35

because you all the animals together including the wolf and bobcat which is 35. so then you add the wolf and bobcat separately which is 12

6 0
3 years ago
Read 2 more answers
Marcella divided 40.8 gallons of paint among 8 characters , how much paint is in each container
kkurt [141]
\frac{40.8}{8}= 5.1

So there are 5.1<span> gallons of paint in each of the 8 containers.</span>
4 0
3 years ago
Read 2 more answers
Morris has 2 3/4 gallons of ice tea. He gives 3/7 of it to her friend. How many gallons of ice tea does Morris have left?
lara31 [8.8K]

Answer:

2 \frac{9}{28} gallons of ice tea is left with Morris

Step-by-step explanation:

Morris has 2 3/4 gallons of ice tea. He gives 3/7 of it to her friend.

Morris has 2 3/4 gallons of ice tea

2\frac{3}{4}= \frac{2*4+3}{4}=\frac{11}{4}

He gives 3/7 of it to her friend.

To find how many gallons of ice tea does Morris have left , we subtract 3/7 from 11/4

\frac{11}{4}- \frac{3}{7}

Make the denominators same

\frac{11*7}{4*7}- \frac{3*4}{7*4}

\frac{77}{28}- \frac{12}{28}

\frac{65}{28}

\frac{65}{28} = 2 \frac{9}{28}

7 0
2 years ago
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