My restaurant budget should not go over $100. If I bought main dish for $50 and $12 for each pizza, how many pizza's can I buy? inequality :
50 + 12x ≤ 100

How many pizza's can I buy?

x = 25

Step-by-step explanation:

50 + 12x <_ 100

12x <_ 100 - 50

12x <_ 50

x <_ 50 / 12

x <_ 25

You can buy about 4 pizzas.

I didn't use the way that I probably should have but you can subtract 50 from 100 and then divide the 50 by 12 and you will get 4.1666667.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)