Algebra
In basketball, the number of points you score is given by [3x + 2y + 1z] where [x] is three-pointers, [y] is two-pointers, and [z] is free throws (one-pointers). What is the total number of points scored by a player who makes 3 three-pointers, 5 two-pointers, and 6 free throws?
25
See Canva slide 11 for question, Im not sure if you guys will get it, so feel free to ai the steps if nobody knows it. If anyone gets this right (without searching it up), it'll count as 300 points
2
Based on her research, Aria estimates that 75% of the students at her college work while they're in school. The margin of error of her estimation is 5%. Based on her estimate and margin of error, what range of percentages of students work while they're in school?
Between 70% and 80%
V = 1/3(∏)r^2h
The formula gives the volume V of a right circular cone with radius r and height h. What is the volume, in cubic meters, of a right circular cone with a radius of 4 meters and a height of 3 meters?
(Answer with pi separate, don't include it into your calculations, examples for answers would be 8∏, 6∏, 100∏, etc.)
16∏
Dimitri is helping to plan the school talent show. Each performer for the talent show has 6 minutes for his or her performance, which includes transition time between performances. If the introduction for the talent show is 24 minutes long and the entire show, including the introduction, will last 150 minutes, what is the most amount of performances that the show can accommodate?
21
(t + 8/3) (t + b) = 0
n the given equation, b is a constant. If -8/3 and 13/3 are solutions to the equation, then what is the value of b?
-13/3
To help understand this question, we're trying to find a way to make the equation true by finding b. The solutions to the equation are given as -8/3 and 13/3. The question wants us to use BOTH solutions in our equation, and the only way we get zero is if each parentheses equals 0. Note how t is the only variable seen twice and we also have two solutions. From there we see that the t on the left-hand side must be -8/3 for that group to equal 0. Afterwards you can place the other solution of 13/3 in the other t, and from there make it so that the group on the right-hand side parentheses equals 0, hence your answer -13/3. Im sorry for yapping, whoever gets this question right gets 300 points!
Bernard randomly selected 10% of St. Francis citizens and asked them about their favorite coffee shop. Of the citizens surveyed, 7 said that Energize was their favorite coffee shop. Based on the data, what is the most reasonable estimate of the number of St. Francis citizens whose favorite coffee shop is Energize?
70
See slide 12 of Canva for question.
30 degrees. Triangles are congruent, therefore the angles are the same.
3 - m = 2 (L - 4)
m = L - 4
Consider the given system of equations. If (L,m) is the solution to the system, then what is the value of L * M?
5
j= m/c * 78
Create an equation correctly expressing c in terms of j and m.
c = m / j * 78
A student answered 86 problems correctly, which was 81.9% of the total number of problems on the test. How many problems did the student answer incorrectly?
19
(x - 3)^2 + (y - 1)^2 = 16
A circle in the xy-plane is represented by the given equation. If the circle is shifted 3 units to the left and 4 units up, what new equation could represent the shifted circle?
x^2 + (y - 5)^2 = 16
The graph of a line in the xy-plane has a slope of 1 and contains the point (3, 0). The graph of a second line has a slope of -1/4 and contains the point (-7, 0). If the two lines intersect at the point (a, b), what is the value of a+b ?
-1
f(x) = 1/x-1
g(x) = 5x + 8
The functions f and g are defined. What is the value of f(g(-1)) ?
1/2
At the beginning of the week, Josh had 32 computer games, 133% as many computer games as Peter had. By the end of the week, Josh gave 25% of his computer games to Peter. How many computer games did Josh and Peter each have by the end of the week?
Josh had 24, Peter had 32
See slide 13 for the question.
20∏
I honestly don't understand the whole radians thing. All I know is that the ratio between the sector's central angle 0 (symbol for central angle, not #0) and 2 pi radians is equal to the ratio between the sector's area and the whole circle's area, 100∏. Go to the next slide for a full explanation.
The property taxes in a town decrease as the distance from the local elementary school increases. The greatest property taxes are 4.5%, and for every 10 miles from the school, property taxes decrease by 0.5 percentage points. If a house's property taxes are 3%, what is the distance of that house from the school?
30 Miles
f(x) = (x - 2)^2 - 9
At what values of x does the graph of the function intersect the x-axis?
x = 5, x = -1
A baker uses 3 cups (c) of flour to bake 2 loaves of bread. If 1 pound (lb) of flour is equivalent to 3 1/3 c, how many loaves of bread can the baker make with a 10 lb bag of flour?
(Round the answer to the nearest whole number.)
22
A circle in the xy-plane has a diameter with endpoints at (0,3) and (-4,0). What is the equation of the circle?
(Remember, the formula for a circle with a center at (h,k) and a radius of r is (x - h)^2 + (y - k)^2 = r^2
(x + 2)^2 + (y - 3/2)^2 = 25/4
yk, i was gonna explain this one, but atp use ai, take a pic of it idk, its way past my bedtime and I still have 13 notecards to do, gn guys see you tomorrow!