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:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.
x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8
Step-by-step explanation:
Volume of the prism is given by the product of its base area and height. To get the height, divide the volume by the base area
Perform long division of the volume polynomial by the polynomial for base area to get the polynomial for height
x³+3x²+8 √x⁴+4x³+3x²+8x+4
-x⁴+3x³+8x
---------------------------
1x³+3x²+0+4
- 1x³+3x²+8
------------------------
-4
The answer will be : x+1 + -4/(x³+3x²+8)
Learn More
Dividing polynomials : brainly.com/question/11792208
Keywords : volume, rectangular prism, area,height
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