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Advocard [28]
3 years ago
14

3) Michael is getting dinner for his drama club on the evening of their final rehearsal.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
5 0

Answer:

5.5p + 5 ≤ 60

10 pounds

Step-by-step explanation:

a) The maximum total cost he can spend is $60.

5.5 * p + 2 * 2.5 ≤ 60

Simplify.

5.5p + 5 ≤ 60

b) Solve 5.5p + 5 ≤ 60

Subtract 5 from both sides

5.5p ≤ 55

Divide both sides by 5.5

p ≤ 10

So, the maximum he can buy is 10 pounds of food

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Solve for n.<br> 4 x n= 21.6
Kay [80]

Answer:

n = 5.4

Step-by-step explanation:

Equation:  4n = 21.6

To solve this equation for n, divide both sides by 4 to get n by itself.

<u />

<u>Step 1:  Divide both sides by 4</u>

4 * n / 4 = 21.6 / 4

n = 5.4

Answer:  n = 5.4

3 0
3 years ago
Read 2 more answers
Read the problem to choose the correct method, then solve. A farmer buys a tractor for $50,000. If the tractor depreciates 10% p
OlgaM077 [116]

Answer:

The correct option is, Exponential Decay, $23,914.85.

Step-by-step explanation:

A farmer buys a tractor for $50,000.

It is provided that the the tractor depreciates 10% per year.

The exponential function for decay is:

y=a\cdot (1-r\%)^{t}

Here,

a = initial value

r = decay rate

t = time

Compute the value of the tractor in 7 years as follows:

y=a\cdot (1-r\%)^{t}

  =50000\times (1-0.10)^{7}\\\\=50000\times 0.4782969\\\\=23914.845\\\\\approx 23914.85

Thus, the correct option is, Exponential Decay, $23,914.85.

5 0
3 years ago
4. Find the standard from of the equation of a hyperbola whose foci are (-1,2), (5,2) and its vertices are end points of the dia
Ad libitum [116K]

The <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

<h3>How to find the standard equation of a hyperbola</h3>

In this problem we must determine the equation of the hyperbola in its <em>standard</em> form from the coordinates of the foci and a <em>general</em> equation of a circle. Based on the location of the foci, we see that the axis of symmetry of the hyperbola is parallel to the x-axis. Besides, the center of the hyperbola is the midpoint of the line segment with the foci as endpoints:

(h, k) = 0.5 · (- 1, 2) + 0.5 · (5, 2)

(h, k) = (2, 2)

To determine whether it is possible that the vertices are endpoints of the diameter of the circle, we proceed to modify the <em>general</em> equation of the circle into its <em>standard</em> form.

If the vertices of the hyperbola are endpoints of the diameter of the circle, then the center of the circle must be the midpoint of the line segment. By algebra we find that:

x² + y² - 4 · x - 4 · y + 4= 0​

(x² - 4 · x + 4) + (y² - 4 · y + 4) = 4

(x - 2)² + (y - 2)² = 2²

The center of the circle is the midpoint of the line segment. Now we proceed to determine the vertices of the hyperbola:

V₁(x, y) = (0, 2), V₂(x, y) = (4, 2)

And the distance from the center to any of the vertices is 2 (<em>semi-major</em> distance, a) and the semi-minor distance is:

b = √(c² - a²)

b = √(3² - 2²)

b = √5

Therefore, the <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

To learn more on hyperbolae: brainly.com/question/27799190

#SPJ1

5 0
2 years ago
What is the surface area of the prism?
Harman [31]
Area of lower rect + area of upper + 4 * sides rect areas

lower = upper rect

2 * rect1 + 4 * rect2

Area = 2 * 6 * 11 + 2 * 11 * 9 + 2 * 9 * 6 = 438 ft^2

or simply just take 2 ( and multiply each two sides.

5 0
3 years ago
3x^2 + 2x-4 = 0 help
igomit [66]

Answer:

I dont know

Step-by-step explanation:

how to answer that

5 0
3 years ago
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