# geometry

Point P is on the number number line. The distance between O and P is four times the distance between P and 30. What is the sum of two possible values of P? What are two possibilities for the coordinates?

Let me make sure I understand what's asked.
"Point P is on the number number line. "
Does this mean it's on the x-axis?

The distance between O and P is four "times the distance between P and 30." Is that O (letter oh) or 0 (zero)?

Let the distances between P and O be denoted by D. Then d(O,P)=4*d(P,30)

If you mean two separate points P and O then there are an infinite number of solutions. If 0 is meant, then we have
(1/4)|P|=|P-30|
If P>30, then P/4=P-30 or 30=(3/4)P and P=40
If P<30, then P/4=30-P and (5/4)P=30 or P=24
Hopefully I read and understand the question correctly. I'll let you finish answering the questions and verify the solutions.
If something else is meant please post it.

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### Math

The box-and-whisker plot below shows the numbers of text messages received in one day by students in the seventh and eighth grades at Lincoln Middle School. Two box and whisker plots are shown above a number line. The number line

2. ### math

a number line below -5 -4 -3 -2 -1 0 1 2 3 4 5 Which of the expressions below represent the distance between -4 and 5 on the number line? [ ]= absolute value symbol A. [-4+5] B.[4-5] C.[-4-5] d.[-5-(-4)] I believe it is D, since

3. ### math

Draw a line that goes through point B. Draw a line that intersects the first line, but not at point B. Measure the distance of point B to the intersection. On the second line, draw point B′ that is the same distance from the

4. ### Math

Which number is located at point A on the number line? Line: -5. 0. 5 A. -4 B. 4 C. -6 D. D

1. ### algebra

true or false 1. fraction cant be written as decimal. 2. natural numbers are referred to as counting numbers.whole numbers consists of counting numbers.whole numbers consist of counting numbers as well as the number 0 3. intergers

2. ### Math

1. What type of graph does not show the number of times a response was given? (1 point) box-and-whisker plot line plot stem-and-leaf plot bar graph 2. Which of the following types of information is suited for display on a scatter

3. ### Geometry

Okay heres the pic. There is a plane with points B,D, and E.those [oints are collinear in the plane. And also outside of the plane is points A, and C. and those points are collinear outside of the plane.thought Line AC intersect

4. ### Math

1. 5h – 9 = –16 + 6h (1 point) 4 –7 7 10 2. 4x + 4 = 9x – 36 (1 point) –8 –7 8 –3 3. Which of the following equations has an infinite number of solutions? (1 point) 3x – 3 = –4x 2y + 4 – y = 16 7x + 5 = 4x + 5

1. ### Math

My Answer = **** 1. Write the inequality for the graph. (1 point) image shows closed circle 4 and up. A. x > 4 B. x underscore > 4**** C. x underscore < 4 2. Write the inequality for the graph. image shows open circle up to both

2. ### Number Line

If an integer a is pictured on the number line then the distance from the point on the number line that represents the integer to the origin is ƒaƒ. Using this idea answer the following. a. Explain why ƒa 2 bƒ is the distance

3. ### Science

1. Which statement about subatomic particles is NOT true? (1 point) Protons and neutrons have almost the same mass. Protons and electrons have opposite charges. Unlike protons and electrons, neutrons have no charge. Protons and

4. ### Math

1.) A cooler contains fourteen bottles of Sports drinks: Seven lemon-lime flavored and seven orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. What is the