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Vinil7 [7]
3 years ago
9

A hot air balloon descended 99.6 meters in 12 seconds. What was the balloon's average rate of descent in meters per second?

Mathematics
2 answers:
bagirrra123 [75]3 years ago
5 0
99.6 divided by 12 is 8.3 so the answer is 8.3
maks197457 [2]3 years ago
5 0

Answer: 8.3 meters per second.

Step-by-step explanation:

Given : A hot air balloon descended 99.6 meters in 12 seconds.

then, the average rate of descent is given by :-

\text{Average rate of descent}=\dfrac{\text{\text{Distance descended }}}{\text{Time}}\\\\\Rightarrow\ \text{Average rate of descent}=\dfrac{99.6}{12}\\\\\Rightarrow\ \text{Average rate of descent}=8.3

Therefore, the balloon's average rate of descent in meters per second = 8.3 meters per second.

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What numbers must be added to complete the perfect square?​
Evgen [1.6K]

Answer:

256

Step-by-step explanation:

Let the number be k

Thus, the equation can be written as:

x² – 32x + k

From the above,

a = 1

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c = k

The value of k can be obtained as follow:

b² = 4ac

(–32)² = 4 × 1 × k

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Divide both side by 4

k = 1024 / 4

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Thus, 256 should be added to x² – 32x to make it a perfect square i.e

x² – 32x + 256

****Check****

x² – 32x + k

k = 256

x² – 32x + 256

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x(x – 16) – 16(x – 16)

(x – 16)(x – 16)

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4 0
3 years ago
Tabitha earns $8.50 per hour at her summer job. She wants to save money to buy a tablet that costs $289 plus 6% sales tax. Tabit
Arturiano [62]

Answer:

The Inequality that shows number of hours Tabitha will need to work to have enough money to buy the tablet is 75+8.5x\geq 306.34.

Tabitha needs to work at least 28 hours to buy the tablet.

Step-by-step explanation:

Amount earn per hour = $8.50

Amount already saved = $75

Cost of tablet = $289

Sales tax = 6%

We to write and solve the inequality number of hours Tabitha will need to work to have enough money to buy the tablet.

Solution:

Let the number of hours she need to work be 'x'.

First we will find the total amount required to buy tablet.

Amount of sales tax = \frac{6}{100}\times289 = \$17.34

Now Total cost to buy tablet will be equal to sum of Cost of tablet and Amount of sales tax.

framing in equation form we get;

Total cost to buy tablet = 289+17.34 = \$306.34

Now we can say that;

Amount already saved plus Amount earn per hour multiplied by Amount earn per hour should be greater than or equal to Total cost to buy tablet.

framing in equation form we get;

75+8.5x\geq 306.34

hence The Inequality that shows number of hours Tabitha will need to work to have enough money to buy the tablet is 75+8.5x\geq 306.34.

On solving the above Inequality we get;

First we will subtract both side by 75 we get;

75+8.5x-75\geq 306.34-75\\\\8.5x\geq 231.34

Dividing both side by 8.5 we get;

\frac{8.5x}{8.5}\geq \frac{231.34}{8.5}\\\\x\geq 27.21

Hence Tabitha needs to work at least 28 hours to buy the tablet.

5 0
3 years ago
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