Tutors Answer Your Questions about Equations (FREE)
Question 1025429: To enter a competition,students must score a total of at least 430 points on five qualifying tests. Each test is worth 100 points. On the first four tests, your scores were 91, 81, 76, and 85. What are three possible scores you can earn on the last test to enter the competition?
Click here to see answer by ikleyn(52776)  |
Question 1025468: Which answer correctly shows the first step that can be used to correctly solve the system of equations?
5x + 2y = 4
3x + 4y + 2z = 6
7x + 3y + 4z = 29
A.
3x + 4y + 2z = 6 → 3x + 4y + 4z = 6
7x + 3y + 4z = 29 → (-)7x + 3y + 4z = 29
-4x - y =- 23
B.
3x + 4y + 2z = 6 → 6x + 8y + 4z = 12
7x + 3y + 4z = 29 → (-)7x + 3y + 4z = 29
-x + 5y = -17
C.
3x + 4y + 2z = 6 → 6x + 8y + 4z = 6
7x + 3y + 4z = 29 → (-)7x + 3y + 4z = 2
-x + 5y =- 23
D.
3x + 4y + 2z = 6 → 6x + 8y + 4z = 12
7x + 3y + 4z = 29 → (-)7x + 3y + 4z = 29
-x + 8y = 41
Thanks in advance, this has been a difficult problem for me.
Click here to see answer by Edwin McCravy(20054)  |
Question 1025462: I need help solving
y=-1x+7
and can you explain how to FInd the equation of the line form y=mx+b
and the surface area of an open-top box with length L, width W, and height H, can be found using the formula
A=2LH+2WH+LW
Click here to see answer by Alan3354(69443)  |
Question 1025392: There were 4 less than half the number of people who forgot their PE at Kiris school this week than those who forgot it last week. If 5 people forgot their PE gear this week, how many forgot it last week?
can u help me please. Thanks!
Click here to see answer by Emilym1234(10)  |
Question 1025620: Can someone explain the answer to this related rates problem to me, I don't understand it.
The question:
We launch a rocket from 5km away and track the ascent with a telescope. The rocket ascends at a rate of 500 m/s. How fast is the angle between the telescope and the ground increasing 30 seconds into the launch?
The answer:
Let P,V and T be the points of rocket launch, current position of rocket at time t and telescope. Then ΔPVT is a right triangle with angle P as right triangle.
We have PV=500t and PT=5km=5000m. Let ∠VTP=θ at time t.
Then,
tanθ=500t/5000=t/10.
Differentiating w.r.t. t we get
sec²θ dθ/dt=1/10
⇒dθ/dt=cos²θ/10
At time t=30, PV=500x30=15000m,
cos²θ=5000²/(5000²+15000²)=1/10
Therefore, rate of change of angle dθ/dt at t=30s=(1/10)*(1/10)=1/100=0.01
====================================
could someone explain to me how the whole PVT thing works? I don't understand what's happening there, how are we able to do this?
Why was tan chosen?
Where did the ratio of 500t and 5000 come from?
I am so confused here.....
Please help
Thank you
Click here to see answer by Alan3354(69443)  |
Question 1025932: a total of 120 adults and students attend a school volleyball game. each adult paid 2.50, and each student paid 1.00. the total paid by the adults and students attending the game was 189 which of the following system of equations can be used to fi d a the number of adults attending and s the number of students attending the game
Click here to see answer by mananth(16946)  |
Question 1025978: 7. Consider the line L represented by the equation x + 4y = 12. (a) Find the equation of the line which is parallel to L, and passes through (1,−2). (b) Find the equation of the line which is perpendicular to L, and passes through (0,1). (c) Find the intersection point of L and the line 2x−3y + 9 = 0 (d) Find the perpendicular distance from the point P(−1.5) to
Click here to see answer by Cromlix(4381)  |
Question 1025982: 7. Consider the line L represented by the equation x + 4y = 12. (a) Find the equation of the line which is parallel to L, and passes through (1,−2). (b) Find the equation of the line which is perpendicular to L, and passes through (0,1). (c) Find the intersection point of L and the line 2x−3y + 9 = 0 (d) Find the perpendicular distance from the point P(−1.5) to L
Click here to see answer by Boreal(15235)  |
Question 1026112: 1. A woodcutter determines a height of a tall tree by first measuring a smaller one 125 feet away, then moving so that his eyes are in the line of sight along the tops of the trees, and measuring how far he is standing from the small tree; this is shown in the diagram below. How tall is the tall tree
Click here to see answer by mananth(16946)  |
Question 1026182: There's a chart, in the chart, it's like this:
# of Tables
1
2
3
4
5
# of Seats
6
10
14
18
22
To help the Bears know how many people they can seat, find a rule they can use to find the number of people that can be seated, p, at any number of tables, t.
What's the equation?
Click here to see answer by stanbon(75887) |
Question 1026178: 1. A woodcutter determines a height of a tall tree by first measuring a smaller one 125 feet away, then moving so that his eyes are in the line of sight along the tops of the trees, and measuring how far he is standing from the small tree; this is shown in the diagram below. How tall is the tall tree? Follow the link for the diagram
https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-xfa1/v/t1.0-9/1001028_10208997053153741_8858868462636543421_n.jpg?oh=052e302481d277eb9b18e0083fd05f19&oe=574A936B&__gda__=1469067744_bc2994de4000b00db06f9cbed80f32d6
Click here to see answer by mananth(16946)  |
Question 1026432: A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?
y = 1500(0.985)t
y = 1500(0.015)t
y = 1500(1.015)t
y = 1500(1.5)t
Click here to see answer by robertb(5830)  |
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