your school sells tickets for its winter concert. Student tickets are $5 and adult tickets are $10. If your school sells 85 tickets and makes $600, how many of each ticket did they sell?

2x+y=5

x+y=4

We need to solve 2x+y=5 for y

let's start by adding -2x to both sides

2x+y-2x=5-2x

y=-2x+5

Now substitute -2x+5 for y in x+y=4

x+y=4

x-2x+5=4

-x+5 =4

Add -5 to both sides so we can find the value for x

-x+5-5=4-5

-x=-1

We know that x can not stay with the negative sign so to eliminate that we need to divide both sides by -1

-x/-1= -1/-1

x=1

Now we have the value for x :)

We need to find the value for y by substitute 1 for x in y=-2x+5

y=-2x+5

y= (-2)(1)+5

y= -2+5

y= 3

Final answer : x=1 and y=3

                          (1,3)

I hope that's help :)

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You can solve this problem by using trigonometry. There are two scenarios with a parallelogram with sides 6 and 10. Either the base is 6 or the base is 10. I did both cases and they gave the same results. The answer is B, 45 degrees. My work is shown below:

d = 1/2 hw

hw = 2d

h = 2d/w

Answer :

Given expression is

To make perfect square trinominal we use completing the square method

In completing the square method we add and subtract the half of square of coefficient of middle term

Here coefficient of middle term is -7

Half of -7 is

Square of is =

So the expression becomes that gives perfect square trinomial

Hence , the value of 'c' is

The value for c will make the expression a perfect square trinomial is 49/4

How to determine the value of c?

The equation is given as:

x^2 - 7x + c

Take the coefficient of x

k = -7

Divide it by 2

k/2 = -7/2

Square both sides

(k/2)^2 = (-7/2)^2

The above represents the value of c.

So, we have:

c = (-7/2)^2

Evaluate

c = 49/4

Hence, the value for c will make the expression a perfect square trinomial is 49/4

Read more about trinomials at:

brainly.com/question/1538726

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