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prohojiy [21]
3 years ago
6

Maggie is planning on going to Penn State University. She estimates that she will need to earn at least $2,000 to live off of ov

er the course of the year after she buys a $450 laptop.
Part A: Let x represent the amount of money she earns over the summer. Write an inequality that describes the situation above.

Part B: Now that her expenses are taken care of, she has $2,000 to start school. Every week she plans to withdraw $30 for food. If x represents the number of weeks she can withdraw $30, write an inequality that describes this situation.

Part C: Solve the inequality in Part B.

Part D: Explain what your answer in Part C means in terms of the number of weeks that Maggie is able to withdraw money for food.

Thanks for your help :)
Mathematics
1 answer:
professor190 [17]3 years ago
8 0
A. The amount of money she must earn in the summer must be
x ≥ 2450

B. The inequality that describes the situation is
30x ≤ 2000

C. Solving the inequality
x ≤ 66.67 ~ 66 weeks

D. The answer is Part C means that she can only make use of the $2000 money for food for 66 weeks before it's not enough.
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Delicious77 [7]

You can solve for the velocity and position functions by integrating using the fundamental theorem of calculus:

<em>a(t)</em> = 40 ft/s²

<em>v(t)</em> = <em>v </em>(0) + ∫₀ᵗ <em>a(u)</em> d<em>u</em>

<em>v(t)</em> = -20 ft/s + ∫₀ᵗ (40 ft/s²) d<em>u</em>

<em>v(t)</em> = -20 ft/s + (40 ft/s²) <em>t</em>

<em />

<em>s(t)</em> = <em>s </em>(0) + ∫₀ᵗ <em>v(u)</em> d<em>u</em>

<em>s(t)</em> = 10 ft + ∫₀ᵗ (-20 ft/s + (40 ft/s²) <em>u</em> ) d<em>u</em>

<em>s(t)</em> = 10 ft + (-20 ft/s) <em>t</em> + 1/2 (40 ft/s²) <em>t</em> ²

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6 0
3 years ago
A ​$300 suit is marked down by ​%20. Find the sale price
avanturin [10]

Answer:

1499

5

(Decimal: 299.8)

Step-by-step explanation: =

300

1

−

20

100

=

300

1

+

−20

100

=

300

1

+

−1

5

=

1500

5

+

−1

5

=

1500+−1

5

7 0
3 years ago
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an engineer decides to use similar triangles to find the distance across the river she makes the diagram below which triangles t
sergiy2304 [10]
<h2>Explanation:</h2><h2 />

The missing diagram is shown below. Remember that shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. So this means you can make the object bigger or smaller. So in this case, we know that ΔABC is similar to ΔDEF. If so, we can establish the following proportion:

\frac{h}{56.7}=\frac{17.2}{52.4} \\ \\ h=56.7\times \frac{17.2}{52.4} \\ \\ h=18.61m

Our goal is to find x. So by Pythagorean theorem:

x=\sqrt{17.2^2+18.61^2} \\ \\ \boxed{x=25.34m}

Conclusion:

<em>ΔABC ~ΔDEF</em>

<em>Distance across the river is 25.34m </em>

8 0
3 years ago
Which is correct gelp
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Answer:

A

Step-by-step explanation:

8 0
3 years ago
Angle θ is in standard position. if sin(θ) = − 1 3 , and π &lt; θ &lt; 3π 2 , find cos(θ).
kramer

The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.

<h3>What is trigonometry?</h3>

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Angle θ is in standard position.

If sin(θ) = − 1/3 , and π < θ < 3π/2

Then the angle will be

\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47

Then add 180 degrees, then we have

\theta = -19.47 + 180\\\\\theta = 160.52

Then the value of the cosine will be

\cos 160.52^o=-0.9428

More about the trigonometry link is given below.

brainly.com/question/22698523

7 0
3 years ago
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