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LUCKY_DIMON [66]
3 years ago
10

Elena earns $10.50 per hour as a server working x hours per week. She also earns $8.50 per hour editing poetry for y hours per w

eek. Elena needs to make at least $125 to pay her cell phone bill, but she has at most 17 total hours to work per week with her busy college schedule. The system of linear inequalities modeling this situation is shown. 10.50x+8.50y≥125 x+y≤17 Which statement represents a solution to the system of linear inequalities? Elena can work as a server for 5 hours and edit poetry for 10 hours. Elena can work as a server for 5 hours and edit poetry for 10 hours. Elena can work as a server for 10 hours and edit poetry for 9 hours. Elena can work as a server for 10 hours and edit poetry for 9 hours. Elena can work as a server for 10 hours and edit poetry for 1 hour. Elena can work as a server for 10 hours and edit poetry for 1 hour. Elena can work as a server for 3 hours and edit poetry for 10 hours.
Physics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

Option A: Elena can work as a server for 5 hours and edit poetry for 10 hours.

Explanation:

We are given the system of linear inequalities modeling this situation as; 10.50x + 8.50y ≥ 125

x + y ≤ 17

Where;

x represents number of server working hours per week.

y represents number of editing poetry hours per week.

In option A, x = 5 and y = 10. Let's plug them both into the first equation;

10.50(5) + 8.50(10) ≥ 125

Left hand side gives 137.5. So it fulfills the inequality.

Repeating the same for the 2nd equation, we have;

5 + 10 ≤ 17

Left hand side is 15 and it fulfills the equation. Option A is correct.

In option B, x = 10 and y = 9. Let's plug them both into the first equation;

10.50(10) + 8.50(9) ≥ 125

Left hand side gives 181.5. So it fulfills the inequality.

Repeating the same for the 2nd equation, we have;

10 + 9 ≤ 17

Left hand side is 17 and it doesn't fulfill the inequality. Option B is wrong.

In option C, x = 10 and y = 1. Let's plug them both into the first equation;

10.50(10) + 8.50(1) ≥ 125

Left hand side gives 113.5. So it doesn't fulfill the inequality.

Option C is wrong.

In option D, x = 3 and y = 10. Let's plug them both into the first equation;

10.50(3) + 8.50(10) ≥ 125

Left hand side gives 116.5. So it doesn't fulfill the inequality.

Option D is wrong.

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Christina drives his moped 7 kilometers North. She stops for lunch and then drives 5 kilometers East. What distance did she cove
Mashutka [201]

Answer:

She covers the distance is 12 km.

The magnitude of displacement is 8.6 km.

The direction of her displacement is north east.

Explanation:

Given that,

Christina drives his moped 7 kilometers North and stop for lunch and then drive 5 km east.

We need to calculate the total distance

Using formula of distance

d=d_{1}+d_{2}

Put the value into the formula

d=7+5

d=12\ km

We need to calculate the magnitude of displacement

Using formula of displacement

D=xi+yj

D=5i+7j

D=\sqrt{5^2+7^2}

D= 8.6\ km

The direction of her displacement is north east.

Hence, She covers the distance is 12 km.

The magnitude of displacement is 8.6 km.

The direction of her displacement is north east.

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3 years ago
A car is traveling at 15 m/sm/s . Part A How fast would the car need to go to double its kinetic energy
GREYUIT [131]

Answer:

21.21 m/s

Explanation:

Let KE₁ represent the initial kinetic energy.

Let v₁ represent the initial velocity.

Let KE₂ represent the final kinetic energy.

Let v₂ represent the final velocity.

Next, the data obtained from the question:

Initial velocity (v₁) = 15 m/s

Initial kinetic Energy (KE₁) = E

Final final energy (KE₂) = double the initial kinetic energy = 2E

Final velocity (v₂) =?

Thus, the velocity (v₂) with which the car we travel in order to double it's kinetic energy can be obtained as follow:

KE = ½mv²

NOTE: Mass (m) = constant (since we are considering the same car)

KE₁/v₁² = KE₂/v₂²

E /15² = 2E/v₂²

E/225 = 2E/v₂²

Cross multiply

E × v₂² = 225 × 2E

E × v₂² = 450E

Divide both side by E

v₂² = 450E /E

v₂² = 450

Take the square root of both side.

v₂ = √450

v₂ = 21.21 m/s

Therefore, the car will travel at 21.21 m/s in order to double it's kinetic energy.

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2 years ago
II Force on a tennis ball. The record speed for a tennis ball that is served is 73.14 m/s. During a serve, the ball typically st
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Answer:

F=248.5W N

Explanation:

Newton's 2nd Law tells us that F=ma. We will use their averages always. The average acceleration the tennis ball experimented is, by definition:

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Since we start counting at 0s and the ball departs from rest, this is just a=\frac{v}{t}

So we can write:

F=ma=\frac{mv}{t}=\frac{gmv}{gt}

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F=\frac{Wv}{gt}=\frac{v}{gt}W

Substituting our values:

F=\frac{(73.14m/s)}{(9.81m/s^2)(30\times10^{-3}s)}W=248.5W N

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