The <em><u>correct answers</u></em> are:
The inequality is 75+4t ≥ 400, and they must sell at least 82 tickets.
Explanation:
t is the number of tickets sold. They start out with $75, so that is where our inequality begins. Each ticket is $4; this gives us the expression 4t. Together with the $75 carry over, we have 75+4t.
They must make at least $400 to pay for the dance. This means it must be more than or equal to 400; this gives us 75+4t ≥ 400.
To solve this, first subtract 75 from each side:
75+4t-75 ≥ 400-75
4t ≥ 325
Divide both sides by 4:
4t/4 ≥ 325/4
t ≥ 81.25
We cannot sell a portion of a ticket, so we round. While mathematically this number would "round down," if they only sell 81 tickets, they will not have enough money. Therefore we round up to 82.
Answer:
not possible
Step-by-step explanation:
f(2)=2^2-4=0
g(f(2))=5/0 it's not possible
Prime numbers are the numbers you can only multiply by 1, composite is a number that you can multiply by more than one number such as 24, 8x3, 6x4, and 12x2
Answer:
x = 115° , y = 65° , z = 115°
Step-by-step explanation:
The figure is a parallelogram.
Consecutive angles are supplementary ( sum to 180° ) , then
x + 65° = 180 ( subtract 65° from both sides )
x = 115°
Opposite angles are congruent , then
y = 65°
z = x = 115°
Draw a picture of the problem.
let ∅ be the angle formed in the first quadrant such that its y coordinate is twice its x coordinate.
The lengths are denoted 2a and a.
Joining the point (0, 0) to the point described, in the first quadrant, we have a right triangle with side lengths

, where

is the hypotenuse, found by the Pythagorean theorem.
sin∅=opposite side/hypotenuse=

Now consider the reflection of the red line segment with respect to the x-axis, the ratio of the distances described still holds. Since here we are in the fourth quadrant, the sine is negative, so sin is

.
Answer: {

}