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Sav [38]
2 years ago
9

Diya and Leo both write the decimal 2.15 repeating as a fraction. Diya's fraction: 97/45 Leo's fraction: 97/5 Who wrote the corr

ect fraction?
Mathematics
1 answer:
Ulleksa [173]2 years ago
8 0
We can solve this without counting too much, like this:

When we look st Diya's fraction: it's about 2 : you can see that the top number is about twice as big as the lower one (compare 90 and 40 for this, 90 is a little more than twice 40)

When we look at Leo's fraction: 97 is a lot more than twice 5!!! To simplify compare 90 and 5: it is definitely at least 10 times bigger (actually 18).

So even if we just "look at" the fractions; Leo's fraction seems too big to be 2.(15).

In fact, his fraction is equal to 19.4

Diya was right!

(and 97/45 is exactly 2.(15).
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3 years ago
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3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
g100num [7]

Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

3 0
2 years ago
Combine Like Terms:<br><br> 5x – 2y + 12 z + 6y<br><br> SHOW WORK<br> will give brainliest
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Answer:

5x+4y+12z

Step-by-step explanation:

i hope this help

6 0
3 years ago
Pls help I have to evaluate
Lemur [1.5K]
A)
Exact Form:
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Decimal Form:
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Mixed Number Form:
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b)
Exact Form:
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Decimal Form:
1.416666

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