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mylen [45]
3 years ago
12

mrs. Smith has a maximum of $50 to spend at a museum I think it cost $7 he can spend P dollars to buy other things at the Museum

write an inequality that can be used to find a possible value for p

Mathematics
1 answer:
timurjin [86]3 years ago
4 0
There you go. ( :[■ ♡

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You have $6000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want
Roman55 [17]
Refer to the figure shown below.
x =  the width of the rectangle (meters)
y = the height of the rectangle (meters(

The fencing for the perimeter of the rectangle costs  $30 per meter.
The two inner partitions cost $25 per meter.

The total cost of the fencing is
C = 2(x+y)*$30 + 2y*$25
   = 60(x+y) + 50y 
   = 60x + 110y

Because the amount available to spend is $600, therefore
60x + 110y = 6000
or
6x + 11y = 600
That is,
y = (600 - 6x)/11              (1)

The area is
A = x*y                           (2)

Substitute (1) into (2).
A = (x/11)*(600 - 6x) = (1/11)*(600x - 6x²)

To maximize A, the derivative of A with respect to x is zero.
That is,
600 - 12x = 0
x = 600/12 = 50
From (1), obtain
y = (1/11)*(600 - 6*50) = 300/11 = 27.273

Because the second derivative of A with respect to x is negative, x=50, y = 27.273 will yield the maximum area.

The maximum area is
50*27.273 = 1363.64 m² = 1364 m² (nearest integer)

Answer: 1364 m² (nearest integer)

5 0
3 years ago
Suppose A= {5,6,8,10,12} and B= {8,9,12,13,14} <br><br><br><br> What is AunionB?
earnstyle [38]

Answer:

A ∪ B = {5 , 6 , 8 , 9 , 10 , 12 , 13 , 14}

Step-by-step explanation:

The symbol of union is ∪

The symbol of intersection is ∩

In the sets A and B

A ∪ B means all elements in sets A and B without repeating

A ∩ B means the common elements in sets A and B

n(A ∪ B) = n(A) + n(B) - n(A ∩B), where n is the number of elements in the set

Now let us solve the question

∵ Set A = {5 , 6 , 8 , 10 , 12}

∴ n(A) = 5

∵ Set B = {8 , 9 , 12 , 13 , 14}

∴ n(B) = 5

The elements 8 and 12 are in the two sets

∵ There are two common elements in the two sets 8 and 12

∴ n(A ∩ B) = 2

Use the 3rd rule above to find how many elements in A ∪ B

∵ n(A ∪ B) = 5 + 5 - 2

∴ n(A ∪ B) = 8

∴ The set of A ∪ B has 8 elements

∵ A ∪ B means all elements in A and B without repeating

∴ A ∪ B = {5 , 6 , 8 , 9 , 10 , 12 , 13 , 14}

4 0
3 years ago
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
quester [9]
The answer is B. (2,-1)

7 0
3 years ago
Read 2 more answers
In base, rate, and percent problems, the word “of” points to this
Marysya12 [62]

Answer:

The word "of" refers to multiplication.

Step-by-step explanation:

Multiplication is what to do in all word problems when we see the word "of"

5 0
3 years ago
Evaluate x/y + 5 w^2, for x = 2/3 and y = 5/6, and w = 3
tresset_1 [31]
2/3 / 5/6 + 5 (3)^2

= 2/3 * 6/5 + 45

= 12/15 + 45  

= 45 4/5  Answer
5 0
3 years ago
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