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Artist 52 [7]
3 years ago
9

Equivalent fractions for 9/11, 15/17, and 2/3 using the least common denominator.

Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0
The (small) challenge here is to determine what the LCD is.  Since 11, 17 and 3 are all prime, we find the LCD by multiplying them together:  561.

Then 9/11= 459/561; 15/17 = 495/561; and 2/3 = 375/561.
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KatRina [158]

Answer:

Option B is the correct answer

Step-by-step explanation:

Center of the circle lie on point (-1, - 3) = (h, k)

\implies \: h =  - 1 \:  \: k =  - 3 \\radius \: r \:  = 2  \\ equation \: of \: circle \: in \: standard \: form \:  \\ is \: given \: as :  \\  {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}  \\  {(x  +  1)}^{2}  +  {(y  +  3)}^{2}  =  {2}^{2}  \\  \purple{ \boxed{ \bold{ {(x  +  1)}^{2}  +  {(y  + 3)}^{2}  = 4}}}

8 0
3 years ago
Draw pictures to show two ways to buy 276 markers
irakobra [83]
100 circles and another 100 circles and 76 circles.


Draw in real life it will work.


Another way 2 hundreds 7 tens and 6 ones
3 0
3 years ago
Read 2 more answers
Ema ate 6 slices of pizza. She ate 3/4 of a entire pizza. How many slices of pizza were there in all?
Taya2010 [7]
Divide 6 by \frac{3}{4}

\frac{6}{1} ÷ \frac{3}{4}

Change \frac{3}{4} to a reciprocal

\frac{6}{1} × \frac{4}{3} = \frac{24}{3} 

Simplify and your answer is 8 
8 0
3 years ago
What is the Ratio of 18:24, 4:70, 35:105, 22:7, 12:165, In fractions in their Simplest form?
Degger [83]
18:24 = 3/4
4:70 = 2/35
35:105 = 1/3
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7 0
3 years ago
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
3 years ago
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