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MissTica
4 years ago
10

the ages of two friends Sunaina and Tanish are differ by 2 years sunaina's father is twice as old as Sunaina and Tanisha is twic

e as old as his brother Shiva The ages of sunaina's father and Shiva differ by 40 years
Mathematics
1 answer:
nikklg [1K]4 years ago
4 0

Let S represent Sunaina's age.

Let T represent Tanish's age.

So 2S - T/2 = 40, 4S - T = 80.

Either S - T = 2 or T - S = 2. Let's try both cases.

Either 3S = 78 or 3S = 82.

Since 82 is not a multiple of 3, S = 26.

So Sunaina is 26 years old and Tanish is 24 years old.

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

The farmer should plant 14 additional trees, for maximum yield.

5 0
3 years ago
Ali scored 58 marks in eng and 49 in math . how much percent in eng more than math​
Sergeu [11.5K]

Answer: 9%

Step-by-step explanation: as all the marks are out of 100 i suppose

so Ali got 58% at eng and 49% at math

so 58-49=9%

and that is how we get the answer

4 0
3 years ago
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Write an algebraic expression to answer the question below. if 10 calculators cost d dollars, how much, in dollars, does each ca
kupik [55]
It should cost 8 dollars all together.
4 0
3 years ago
What is the solution for <br> -2(x-5)=4
tiny-mole [99]
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6 0
3 years ago
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A family of 5 monkeys eats 2 bananas per day each. How many bananas do they eat in 4 days?
valkas [14]

Answer:

8

Step-by-step explanation:

A family of 5 monkeys eat 2 bananas a day.

to figure out how much the monkeys will eat in 4 days

multiply 2 by 4.

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(2 by 4) by 5. witch would be 40

however for the case your saying the answer would be 8

8 0
3 years ago
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