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4 years ago

Can some one please help me with this problem?

Mathematics

2 answers:

Nostrana [21]4 years ago

8 0

(6×90)+(2×50)=$640

$640 was collected on opening night

Lady bird [3.3K]4 years ago

6 0

6a+2s=x (total amount of money)
6 (90)+2 (50)= x
540+100=640
The total amount of money is $640
hope that helps!

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Point P(3, 9) in the coordinate plane is rotated 90 degrees counterclockwise about the origin. What are the coordinates of its i

Bumek [7]

Answer:

P'(-9, 3)

Step-by-step explanation:

The transformation for rotation counterclockwise about the origin by some angle α will be ...

(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))

When the angle is α = 90°, this reduces to ...

(x, y) ⇒ (-y, x)

You have (x, y) = (3, 9), so the image point is P'(-9, 3).

<em>Additional comment</em>

The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:

90° CCW or 270° CW: (x, y) ⇒ (-y, x)
90° CW or 270° CCW: (x, y) ⇒ (y, -x)
180°: (x, y) ⇒ (-x, -y)

8 0

3 years ago

Find the minimum value of the function for the polygonal convex set determined by the given system of inequalities.

lutik1710 [3]

Answer:

Option b (4,1)

Step-by-step explanation:

The region given by the system of inequalities is shown in the graph. We must look within this region for the point that minimizes the objective function $f(x, y) = 8x + 8y$

The minimum points are found in the lower vertices of the region.

These vertices are found by equating the equations of the lines::

$3x+2y=14\\-5x +5y=10$

-------------------

$x = 2\\y = 4$

$-8x + 3y = -29\\3x + 2y = 14$

---------------------

$x = 4\\y = 1$

The lower vertices are:

(4, 1) (2, 4)

Now we substitute both points in the objective function to see which of them we get the lowest value of $f(x, y)$

$f(4, 1) = 8(4) +8(1) = 40\\f(2, 4) = 8(2) + 8(4) = 48$

Then the value that minimizes f(x, y) is (4,1).

Option b

5 0

3 years ago

Ruby buys 24 books and 5 pens.she pays with a 500 rupee note and get rs90 as change.shania bought 12 books and 10 pens for rs280

just olya [345]

The cost of one pen is Rs 15.

It is given that Ruby paid with a 500 rupee note and got Rs 90 back.

This means that she spent 410 rupees.

Therefore the cost of 24 books and 5 pens is Rs 410.

Let the cost of books be x and the cost of pens be y.

Therefore, we can form the following equations:

24x + 5y = 410 (1)

12x + 10y = 280 (2)

We have to find the value of y.

Multiply the second equation by 2:

24x + 20y = 560 (3)

Now subtract the first equation from the third equation:

24x + 20y - 24x - 5y = 560 - 410

15y = 150

y = 15.

The variable y represents the cost of one pen.

This means that the cost of one pen is Rs 15.

Therefore, we have found that the cost of one pen is Rs 15.

Learn more about solving a system of equations here: brainly.com/question/13729904

#SPJ4

7 0

2 years ago

HELP PLEASE THANK YOU SO MUCH ALSO IF YOU DON'T MIND EXPLAINING! ONCE AGAIN THANK YOU SO MUCH!!

bija089 [108]

I think the greatest possible starting number would be 1,214,449. If it was any higher, like 1,214,450, then the number would round up to 1,214,500, and you don't want that.

Hopefully this helps! Let me know if you have any more questions.

8 0

3 years ago

How would you solve 85% of 40

kykrilka [37]

85% of 40.

85/100 = .85

.85 * 40 = 34

Answer: 34

5 0

4 years ago

Read 2 more answers