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shepuryov [24]
3 years ago
13

Grandma has just finished baking a large rectangular pan of brownies. She is planning to make rectangular pieces of equal size a

nd shape, with straight cuts parallel to the sides of the pan. Each cut must be made entirely across the pan. Grandma wants to make the same number of interior pieces as pieces along the perimeter of the pan. What is the greatest possible number of brownies she can produce
Mathematics
1 answer:
Nikitich [7]3 years ago
7 0

Answer: 60

Step-by-step explanation:

Let the side lengths of the rectangular pan be m and n. It follows that (m-2)  (n-2)= mn/2

So, since haf of the brownie pieces are in the interior. This gives 2 (m-2) (n-2) =mn

mn- 2m - 2n- 4 = 0

Then Adding 8 to both sides and applying, we obtain (m-2) (n-2) =8

Since now, m and n are both positive, we obtain (m,n) = (5,12), (6,8) (up to ordering). By inspection, 5. 12 = 60

which maximizes the number of brownies in total which is the greatest number.

Hope that helped! =)

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professor190 [17]
$ per min is a rate. you multiple by minutes to get dollars.

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4 0
3 years ago
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PLS HELP LAST DAY OF APEX a.graph this system of inequalities y<-x+4 y>-x-2 b. How many solutions does this system of ineq
Ede4ka [16]

Answer:

Part ) The graph in the attached figure

Part b) The system has infinitely solutions

Step-by-step explanation:

Part a) Graph this system of inequalities

we have

y < -x+4 -----> inequality A

The solution of the inequality A is the shaded area below the dotted line

y=-x+4

The y-intercept of the dotted line is the point (0,4)

The x-intercept of the dotted line is the point (4,0)

The slope of the dotted line is negative (m=-1)

y > -x-2 -----> inequality B

The solution of the inequality B is the shaded area above the dotted line

y=-x-2

The y-intercept of the dotted line is the point (0,-2)

The x-intercept of the dotted line is the point (-2,0)

The slope of the dotted line is negative (m=-1)

using a graphing tool

The graph in the attached figure

Part b)  How many solutions does this system of inequalities have?

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The solution of the system of inequalities is the shaded area between the two dotted lines (see the attached figure)

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The system has infinitely solutions

4 0
3 years ago
Let E = {(x, y) e R2|xy &gt; 0}. Determine whether E is a subspace of R2 . X3
gayaneshka [121]

Answer:

E is not a subspace of \mathbb{R}^2

Step-by-step explanation:

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In order to see this, we must find two points (a,b), (c,d) in  E such that (a,b) + (c,d) is not in E.

Consider

(a,b) = (1,1)

(c,d) = (-1,-1)

It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.  

But (a,b) + (c,d) = (1-1, 1-1) = (0,0)

and (0,0) is not in E.

By the way, it can be proved that in any vector space all sub spaces must have the vector zero.

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3 years ago
5+2x=2x+6<br> What's the answer?
Marina86 [1]

<u>Answer:</u>

Below!

<u>Step-by-step explanation:</u>

<u>We can solve this with the help of equations.</u>

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<u>Since we are getting 0 ≠ 1 as our result, the problem has </u><u>no solution.</u>

Hoped this helped.

BrainiacUser1357

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Answer:

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Step-by-step explanation:


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