Find two consecutive positive even integers such that the square of the second, decreased by twice the first is 124. Find the smaller number.
4 years 10 months ago
The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number exceeds the original number by 9. From the original number, calculate the product of tens digit to the square of the units digit.
4 years 10 months ago
Three times Dick's age plus Tom's age equals twice Harry's age. Double the cube of Harry's age is equal to three times the cube of Dick's age added to the cube of Tom's age. Their respective ages are relatively prime to each other. How old is Harry?
4 years 10 months ago
I need guidance in solving the ultimate moment capacity (doubly reinforced beam)
4 years 10 months ago
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?
4 years 10 months ago
The product of two consecutive negative even integers is 24. Find the sum of the numbers.
4 years 10 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?
4 years 10 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?
4 years 10 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?
4 years 10 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?
4 years 10 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?
4 years 10 months ago
If five masons can earn P675 in 6 days, how much can 12 carpenters receiving the same rate earn in 10 days?
4 years 10 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:
4 years 10 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.
4 years 10 months ago
vSk9ZBx-2 Compute the length of belt if the belt will be cross-connected to make the pulleys rotate in opposite directions.
4 years 10 months ago
vSk9ZBx-1 Compute the length of belt if both pulleys will rotate in the same direction.
4 years 10 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.
4 years 10 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.
4 years 10 months ago
The geometric mean and arithmetic mean of two numbers are respectively 8 and 17. Find the harmonic mean.
4 years 10 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.
4 years 10 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 $x^2 + y^2 + 12x + 14y + 60 = 0$.
4 years 10 months ago
What is the length of the line with slope 4/3 from point (6, 4) to the y-axis?
4 years 10 months ago
Determine the distance from point (2, 1) to the line 4x - 3y + 5 = 0.
4 years 10 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?
4 years 10 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?
4 years 10 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.
4 years 10 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.
4 years 10 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.
4 years 10 months ago
Determine the coordinates of the center of the circle defined by the equation $x^2 + y^2 + 4x - 6y - 12 = 0$.
4 years 10 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?
4 years 10 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?
4 years 10 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?
4 years 10 months ago
Three adjacent faces of a rectangular parallelepiped measures 8 square inches, ...
4 years 10 months ago
z1UpedR-3 the numbers are odd and repetition of digit is not allowed.
4 years 10 months ago
z1UpedR-1 repetition of digit is not allowed.
4 years 10 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...
4 years 10 months ago
vSk9ZBx-0 Situation. A line on the xy-plane has an equation 5x + 12y = 60.
4 years 10 months ago
R3y8Yuq-0 Situation. The following is a set of notes of the earthwork of a road embankment.
4 years 10 months ago
jPxd93H-0 Situation. For vectors $\mathbf{A} = 8\mathbf{i} + 4\mathbf{j} - 2\mathbf{k}$ and $\mathbf{B} = 2\mathbf{j} + 6\mathbf{k}$.
4 years 10 months ago
jPxd93H-3 Find the magnitude of the cross-product $\mathbf{A} \times \mathbf{B}$
4 years 10 months ago
jPxd93H-2 Find the dot-product $\mathbf{A} \cdot \mathbf{B}$
4 years 10 months ago
jPxd93H-1 Find the magnitude of the sum $\mathbf{A} + \mathbf{B}$
4 years 10 months ago
vSk9ZBx-2 Find the uv-coordinates of the x-intercept of the given line.
4 years 10 months ago
vSk9ZBx-1 Find the uv-coordinates of the y-intercept of the given line.
4 years 10 months ago
R3y8Yuq-3 determine the volume of earthwork by prismoidal correction formula.
4 years 10 months ago
R3y8Yuq-2 determine the volume of earthwork by prismoidal formula.
4 years 10 months ago
R3y8Yuq-1 determine the volume of earthwork by end area.
4 years 10 months ago
vSk9ZBx-3 Find the equation of the given line in the uv-plane.
4 years 10 months ago
For a spherical triangle: A = 63deg 19.6min; b = 124deg 17.8min; and c = 83deg 16.6min, find a.
4 years 10 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).
4 years 10 months ago