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3 years ago

Two parallel lines are crossed by a transversal. What is the value of y?

Mathematics

2 answers:

Mice21 [21]3 years ago

5 0

If I where to take a guess, it would be B since the lines are exactly the same.

hram777 [196]3 years ago

3 0

Answer: y= 50

Step-by-step explanation:

It is 50 because is is the exact same as the first degree

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A high school football quarterback has a lifetime pass completion rate of p = 0.15. A random sample of 15 of his games is select

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3 years ago

If Dylan buys a book that is 25% off, what percent of the original price does Dylan pay?

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Dylan will pay 75% of the original price.

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2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%20-%201%7D%20" id="TexFormula1" title=" \sqrt[3]{x - 1} " alt=" \sqrt[3]

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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:

A.10000

B.25 more trees must be planted

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)

A.

⇒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 = $50*200=10000$

B.

⇒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;

⇒Thus the total number of trees per acre = 100+25 =125;

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3 years ago