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Andrew [12]
3 years ago
7

raj has $10. if he buys 8 pears and 5 mangoes, he will be short of $1.10. if he buys 5 pears and 4 mangoes , he will receive $1.

75 in change. find the price of 1 pear and 1 mango​
Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

1 pear = $0.45

1 mango = 1.5

Step-by-step explanation:

8 pears + 5 mangoes = $11.10 ➡ 8p + 5m = 11.10

5 pears + 4 mangoes = $8.25 ➡ 5p + 4m = 8.25

multiply first equation by -4 and second one by 5

-4 ×(8p+5m) = 11.10 ➡ -32p - 20m = 44.4

5 ×(5p+4m) = 8.25 ➡ 25p + 20m = 41.25

add both equations up

-32p - 20m + 25p + 20m = 44.4 + 41.25

-7p = 3.15 ➡ p = $0.45

use this value to find the price of mango

5×0.45 + 4×m = 8.25 ➡ 2.25 + 4m = 8.25 ➡ 4m = 6 ➡ m = $1.5

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The average velocity is defined as the relationship between the displacement that a body made and the total time it took to perform it. Mathematically is given by the next formula:

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a. Let's find h(3) and h(4) using the data provided by the problem:

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The average velocity over the interval [3, 4] is :

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b. Let's find h(3.5) using the data provided by the problem:

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The average velocity over the interval [3, 3.1] is :

v_a_v_g=\frac{128.4237-124.53}{3.1-3} =38.937m/s

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