Twice the larger of two numbers is three more than five times the smaller, and the sum of four times the larger and three times the smaller is 71. What is the smaller number?
3 years 7 months ago
The product of two consecutive negative even integers is 24. Find the sum of the numbers.
3 years 7 months ago
Dr. Reed, arriving late at the lab one morning, pulled out his watch and said, “I must have it seen to. I have noticed that the minute and the hour hand are exactly together every 65 minutes.” Does Dr. Reed’s watch gain or lose, and how much per hour?
3 years 7 months ago
It is now between 9 am and 10 o'clock am. In 4 minutes, the hour hand of the clock will be directly opposite the position occupied by the minute hand 3 minutes ago. What time is it?
3 years 7 months ago
Today, I am one more than eleven times as old as my son. 9 years from now, I will be seven more than three times as old as him. How old is my son?
3 years 7 months ago
At what time between three and four o’clock is the minute hand the same distance from VIII as the hour hand is from XII?
3 years 7 months ago
A commuter drives from Mandaue to Bogo 120 km away at an average speed of 60 kph and returned to Mandaue at an average speed of 40 kph. What was the average speed of the commuter for the whole journey?
3 years 7 months ago
If five masons can earn P675 in 6 days, how much can 12 carpenters receiving the same rate earn in 10 days?
3 years 7 months ago
The scale on the map is 1:n. A square field has an area of 1600 sq. m. is represented by 1 cm2, the value of n is:
3 years 7 months ago
vSk9ZBx-3 Determine the distance of the point from the center of the bigger pulley where the belt will cross when cross-connected.
3 years 7 months ago
vSk9ZBx-2 Compute the length of belt if the belt will be cross-connected to make the pulleys rotate in opposite directions.
3 years 7 months ago
vSk9ZBx-1 Compute the length of belt if both pulleys will rotate in the same direction.
3 years 7 months ago
vSk9ZBx-0 Situation: Two flat belt pulleys have a center to center distance of 137 cm, and diameters of 72 cm and 36 cm, respectively.
3 years 7 months ago
In the CE Board examinations, the probability that an examinee will pass in each subject is 0.80. What is the probability that the examinee will pass at least two subjects.
3 years 7 months ago
The geometric mean and arithmetic mean of two numbers are respectively 8 and 17. Find the harmonic mean.
3 years 7 months ago
Given $f(x) = (x - 4)(x + 3) + 4$. When $f(x)$ is divided by $(x - k)$, the remainder is k, find the value of k.
3 years 7 months ago
Find the equation of the radical axis of the two circles having equations of $x^2 + y^2 + 4x + 6y - 3 = 0$ and $x^2 + y^2 + 12x + 14y + 60 = 0$.
3 years 7 months ago
What is the length of the line with slope 4/3 from point (6, 4) to the y-axis?
3 years 7 months ago
Determine the distance from point (2, 1) to the line 4x - 3y + 5 = 0.
3 years 7 months ago
An airplane flew from Davao whose latitude is 14° N and longitude of 121° 30' E on a course of S 30° W and maintaining uniform altitude. At what longitude will the plane cross the equator?
3 years 7 months ago
A pole cast a shadow 15 m long when the angle of elevation of the sun is 61°. If the pole has lean 15° from the vertical directly towards the sun, what is the length of the pole?
3 years 7 months ago
A sphere is circumscribing a cubical box having a volume of 8000 cm3. Compute the volume of the space between the cubical box and the sphere.
3 years 7 months ago
Find the volume of a circular cone having a base radius of 20 cm and axis 30 cm, if the axis makes an angle of 60° from the base.
3 years 7 months ago
Compute the cost of lumber necessary to resurface a foot-bridge 16 feet wide and 150 feet long with 2-inches planks, if lumber is P48.00 per board foot.
3 years 7 months ago
Determine the coordinates of the center of the circle defined by the equation $x^2 + y^2 + 4x - 6y - 12 = 0$.
3 years 7 months ago
An altar for ancient rituals is in the form of a cube of edge 1.5 m. If you double the size of the cube, what will be the dimension of its edges?
3 years 7 months ago
How many three-digit even numbers can be made out from the digits 1, 2, 3, 4, 5, 6, and 7 if repetition of digit is not allowed?
3 years 7 months ago
A Ferris wheel, 9 m in radius, is rotating such that the riders will experience zero gravity at the topmost part of the wheel. How many revolutions it made in every minute?
3 years 7 months ago
Three adjacent faces of a rectangular parallelepiped measures 8 square inches, ...
3 years 7 months ago
z1UpedR-3 the numbers are odd and repetition of digit is not allowed.
3 years 7 months ago
z1UpedR-1 repetition of digit is not allowed.
3 years 7 months ago
z1UpedR-0 Situation. Given the digits 0, 1, 2, 3, 4, and 5. How many 3-digit numbers can be made from the given digits if...
3 years 7 months ago
vSk9ZBx-0 Situation. A line on the xy-plane has an equation 5x + 12y = 60.
3 years 7 months ago
R3y8Yuq-0 Situation. The following is a set of notes of the earthwork of a road embankment.
3 years 7 months ago
jPxd93H-0 Situation. For vectors $\mathbf{A} = 8\mathbf{i} + 4\mathbf{j} - 2\mathbf{k}$ and $\mathbf{B} = 2\mathbf{j} + 6\mathbf{k}$.
3 years 7 months ago
jPxd93H-3 Find the magnitude of the cross-product $\mathbf{A} \times \mathbf{B}$
3 years 7 months ago
jPxd93H-2 Find the dot-product $\mathbf{A} \cdot \mathbf{B}$
3 years 7 months ago
jPxd93H-1 Find the magnitude of the sum $\mathbf{A} + \mathbf{B}$
3 years 7 months ago
vSk9ZBx-2 Find the uv-coordinates of the x-intercept of the given line.
3 years 7 months ago
vSk9ZBx-1 Find the uv-coordinates of the y-intercept of the given line.
3 years 7 months ago
R3y8Yuq-3 determine the volume of earthwork by prismoidal correction formula.
3 years 7 months ago
R3y8Yuq-2 determine the volume of earthwork by prismoidal formula.
3 years 7 months ago
R3y8Yuq-1 determine the volume of earthwork by end area.
3 years 7 months ago
vSk9ZBx-3 Find the equation of the given line in the uv-plane.
3 years 7 months ago
For a spherical triangle: A = 63deg 19.6min; b = 124deg 17.8min; and c = 83deg 16.6min, find a.
3 years 7 months ago
Find the area reflected by the triangle ABC on the xy-plane with A(1, 10, 10), B(6, 2, 4) and C(12, 6, 1).
3 years 7 months ago
P3000 quarterly for ten years accumulates to P181,205.95, find the nominal rate of interest compounded quarterly.
3 years 7 months ago
Find the radius of the circumscribing circle of the regular octagon having an area of 320 cm2.
3 years 7 months ago
Two men starting at the same point walk in opposite direction for 4 meters turn left and walk another 3 meters. What is the distance between them?
3 years 7 months ago
What is the number that is one half of one quarter of one tenth of 400?
3 years 7 months ago