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topjm [15]
3 years ago
13

On Monday, Jackie bought 5 1/2 kg of bird seed. She used 2 2/3 on her blue jays and 1/4 for her wrens. How many kilograms of bir

dseed did Jackie have left? Write One or more equations to show how you reached your answer.
Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

4 18/12 - (2 8/12+ 3/12)= 2 7/12

Step-by-step explanation:

First you want to know that you want to subtract the bird seed Jackie got (2 2/3 and 1/4) by the total Jackie bought (5 1/2).

Now set up the equation as 5 1/2 - (2 2/3+ 1/4). Now you need to realize that the fractions are not the same and need to be changed to similar denominators. 2 can be changed to any even denominator so it matters less to what we change it to, so let's focus on the bird seed Jackie used and convert it. 2/3 and 1/4 can be changed into 12's so multiply on the numerator and denominator to get these values. 2/3 would then become 8/12 and 1/4 would become 3/12. 1/2 would then also become 6/12.

Now that we have changed the fractions you want to change the expression to 5 6/12 - (2 8/12+ 3/12). Now add the values in the parentheses to get 5 6/12 - (2 11/12). Now to make this easier add more 12's to 5 6/12 by putting it to 4 18/12. the new equation will be 4 18/12 - 2 11/12, finally subtract from from the same types of numbers: 4-2= 2 18/12-11/12= 7/12. The answer would be 2 7/12.

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The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
Tju [1.3M]
Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
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The figures are similar find X ​
mr Goodwill [35]

Answer:

<h3><em>X=14.4</em></h3>

<em>Step-by-step explanation:</em>

<em>As triangles are similar </em>

<em>The ratio of the sides must be equal</em>

<em>so..</em>

<em />\frac{x}{8} =\frac{9}{5}<em />

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<em>hope it helps...</em>

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