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goldfiish [28.3K]
3 years ago
5

Find two positive numbers whose difference is 8 and whose product is 1505.

Mathematics
1 answer:
likoan [24]3 years ago
6 0

Answer:

The two positive numbers are 35 and 43.

Step-by-step explanation:

Let the two positive numbers be x and x + 8.

It is given that their product is 1505.

Therefore, x(x + 8) = 1505

x^{2} +8x=1505

x^{2} +8x-1505=0

x^{2} +43x-35x-1505=0

x(x + 43) - 35(x + 43) = 0

(x + 43)(x - 35) = 0

x = -43, x = 35

Since, the numbers are positive, x = 35 is only valid.

The other number is x + 8 = 35 + 8 = 43.

Hence, the required positive numbers are 35 and 43.

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This number is in scientific notation. 2. 4 × 10-4 Convert the number into standard notation. What is the value? 2. 4 × 10-4 =.
dusya [7]

The value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.

<h3>What are Scientific notations?</h3>

The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5×10¹².

As the value of the scientific notation is given 2.4x10⁻⁴, therefore, for bringing it in the standard form we need to shift the decimal to the left by four digits. So,

2.4 \times 10^{-4}\\\\= \dfrac{2.4}{10000}\\\\= 0.00024

Hence, the value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.

Learn more about Scientific notation:

brainly.com/question/1740231

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2 years ago
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3 years ago
What are the measures of the angles in the triangle?
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8 0
3 years ago
ELLUNG UNTU
34kurt

Answer: Rs. 100

Step-by-step explanation:

Given the following :

Total expenditure for dance show = Rs. 25000

Profit made except expenditure = Rs. 12,000

Number of people who observed and paid for the show = 370

Amount paid per person will be :

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Total revenue realized = (total expenditure + profit made)

Total Revenue realized = Rs.(25,000 + 12,000) = Rs. 37,000

Amount paid per observer = (Rs. 37,000 / 370)

= Rs. 100

8 0
3 years ago
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