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Nadya [2.5K]
3 years ago
9

If Frank can produce either 20 pizzas or 40 cheesecakes per day, the opportunity cost per

Mathematics
1 answer:
navik [9.2K]3 years ago
4 0
20p = 40ck
1/2 pizzas to cheesecakes.
You might be interested in
A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is t
irinina [24]

Answer:

450 m²

Step-by-step explanation:

Let x = length of rectangle and y = width of the rectangle.

Therefore,

2x + y = 60...............(1)

Making y subject of the formula, we have:

y = 60 - 2x............... (2)

We know area of a rectangle is length * width i.e A = x*y

Let's substitute (60-2x) for y,

A = x * (60-2x)

= 60x - 2(x)²

= -2x² + 60x

\frac{dA}{dx} = -2x^2 + 60x =

-4x + 60 = 0

-4x = -60

x = \frac{-60}{-4} = 15

Let's substitute 15 for x in equation 2, we have:

y = 60 - 2(15)

= 60 - 30

y = 30

Since x = 15 & y = 30, the area would be:

A = xy

A = 15 * 30

A = 450 m²

The maximum area of the dog pen is 450m²

8 0
3 years ago
Point Q(-1, 5) is reflected across the line x = -1. What are the coordinates of its image?
STALIN [3.7K]
The third one is the answer



(1,5)




good luck
6 0
2 years ago
Read 2 more answers
Isaiah takes 25 hours to treat 75 lawn with an organic fertilizer at a housing complex The lawns in the complex are the same siz
sergeinik [125]

Isaiah will mow 9 lawns in 3 hours at the given rate.

Step-by-step explanation:

Given,

Lawns mowed in 25 hours = 75 lawns

We will find unit rate in terms of lawns;

75 lawns = 25 hours

1 lawn = \frac{25}{75}=\frac{1}{3}\ hour

9 lawns = \frac{1}{3}*9

9 lawns = 3 hours

Isaiah will mow 9 lawns in 3 hours at the given rate.

Keywords: unit rate, fraction

Learn more about fractions at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

5 0
3 years ago
Solve for x: 3x − 2 > 5x + 10. (5 points)
Galina-37 [17]

Answer:

x < -6

Step-by-step explanation:

3x - 2 > 5x + 10

first step is to isolate x

3x -2 >5x +10

3x > 5x + 10 + 2

3x -5x > 10 + 2

now that we have 3x and -5x we can combine them

-2x > 10 + 2

now add 10 +2 =12

-2x > 12 (now divide by -2)

x < -6 (when we divide we flip the inequality sign)

5 0
3 years ago
What is the equation of the line that has a y intercept of (0,-3) and passes the point (-9,-9)
zavuch27 [327]

Answer:

y = 2/3x - 3

Step-by-step explanation:

First calculate the slope: y2 - y1 divided by x2 - x1

Slope: -6/-9 = 2/3

The y-intercept is -3

The equation of a line: y = mx + b

y = 2/3x - 3

4 0
2 years ago
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