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svet-max [94.6K]
3 years ago
6

All rectangles are parallelograms.A. TrueB. False​

Mathematics
2 answers:
Amanda [17]3 years ago
5 0

Answer: True

Step-by-step explanation:

sineoko [7]3 years ago
5 0
That answer would be A. True
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Ryan bought three shirts at a store for $40.62. How much money would it cost for Ryan to go back to the store and buy two more s
Zanzabum

Answer:

$27.08 it would cost to get the other two shirts

Step-by-step explanation:

6 0
3 years ago
If you wanted to make the graph of y=3x+1 steeper, which equation could to use?
Sidana [21]

Answer:

Literally use any answer which has a higher slope so . . .

y = 10x + 1

y = 1000000000000000000x + 1

and so on.

7 0
3 years ago
A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours
qaws [65]

Answer:

  • The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.
  • Below are all the steps explained in detail.
  • The graph is attached.

Explanation:

<u />

<u>1. Name the variables:</u>

  • x: number of smaller lifts
  • y: number of larger lifts

<u></u>

<u>2.  Build a table to determine the number of hours each lift requires from each department:</u>

<u></u>

Number of hours

                                        small lift    large lift   total per department

Welding department            1x             3y                x + 3y

Packaging department        2x             1y                2x + y

<u></u>

<u>3. Constraints</u>

  • 150 hours available in welding:         x + 3y ≤ 150
  • 120 hours available in packaging:   2x + y ≤ 120
  • The variables cannot be negative:    x ≥ 0, and y ≥ 0

Then you must:

  • draw the lines and regions defined by each constraint
  • determine the region of solution that satisfies all the constraints
  • determine the vertices of the solution region
  • test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

<u></u>

<u>4. Graph</u>

See the graph attached.

Here is how you draw it.

  • x + 3y ≤ 150
  • draw the line x + 3y = 150 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • 2x + y ≤ 120
  • draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

  • the solution region is the intersection of the regions described above.

  • take the points that are vertices inside the solutoin region.

<u>5. Test the profit function for each vertex</u>

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

  • (0,0)
  • (0,50)
  • (42,36)
  • (60,0)

The profits with the vertices are:

  • P(0,0) = 0
  • P(0,50) = 25(0) + 90(50) = 4,500
  • P(42,36) = 25(42) + 90(36) = 4,290
  • P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0
3 years ago
A triangle with base 6. and height 3 in. Whats the answer and please show work
motikmotik
How you find the area of a triangle is base × height ÷ 2. So the equation would be 6×3=18 18÷2=9, so the answer is 9. Hope this helped!
4 0
3 years ago
Read 2 more answers
The points (12, 23) and (14, 45) lie on a line. What is<br> the slope of the line?
ozzi

Answer:

slope= 11

Step-by-step explanation:

(12,23) = (x1,y1)

(14,45) = (x2,y2)

Now,

slope(m)= (y2-y1)/(x2-x1)

=(45-23)/(14-12)

=22/2

=11

5 0
3 years ago
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