Mary draws the number line below to represent the solution set of the inequality 50 – 8t < 90. What mistake did Mary make? Use the drop-down menus to explain your answer.

Picture relating to question is attached below

t > - 5

Line is in the wrong side

Step-by-step explanation:

Given the inequality :

50 – 8t < 90

-8t < 90 - 50

-8t < 40

-8t / - 8 < (40/ - 8)

t > - 5 (sign changes)

During simplification, we should observe that the inequality sign changes due to negative sign. Hence, our final inequality equation read t > - 5 ; thus, arrow should point to the right

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.