Recent content | MATHalino

In how many ways can 5 engineers and 4 nurses be arranged in a round table if the nurses insisted to be sitting side by side?

4 years 10 months ago

There are 6 people lining up to pay telephone bills.

4 years 10 months ago

One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls.

4 years 10 months ago

A die is thrown randomly four hundred fifty times. The frequencies of outcomes 1, 2, 3, 4, 5 and 6 were noted as given in the following table:

4 years 10 months ago

A magician holds one six-sided die in his left hand and two in his right. What is the probability the number on the dice in his left hand is greater than the sum of the dice in his right?

4 years 10 months ago

A stone is dropped into a well and the report of the stone striking the bottom is heard 7.7 seconds after it is dropped.

4 years 10 months ago

If $a^x = c^q = b$ and $c^y = a^z = d$, then:

4 years 10 months ago

The value of $10^{\log_{10} 7}$ is:

4 years 10 months ago

The pressure P of wind on a sail varies jointly as the area A of the sail and the square of the velocity V of the wind.

4 years 10 months ago

The value of $x$ in the equation $\log_{10} (x^2 - 15x) = 2$ are:

4 years 10 months ago

When simplified and expressed with negative exponents, the expression $(x + y)^{-1}(x^{-1} + y^{-1})$ is equal to:

4 years 10 months ago

Indicate in which one of the following equations y is neither directly nor inversely proportional to x:

4 years 10 months ago

The largest number by which the expression $n^3 - n$ is divisible for all possible values of $n$, is:

4 years 10 months ago

Alvin can do a piece of work in 9 days. Briggs is 50% more efficient than Alvin. The number of days it takes Briggs to do the same piece of work is:

4 years 10 months ago

At 2:15 o'clock, the hour and minute hands of a clock form an angle of:

4 years 10 months ago

The price of an article is cut by 10%. To restore it to its former value the new price must be increased by:

4 years 10 months ago

Aljur owns a 24mm prime camera lens worth P10,000. He sell it to Brandon at a 10% profit based on the worth of the lens. Brandon sells the lens back to Aljur at a 10% loss. Then:

4 years 10 months ago

A privateer discovers a merchantman 10 miles to leeward at 11:45 am and with a good breeze bears down upon her at 11 mph, while the merchant can only make 8 mph in her attempt to escape.

4 years 10 months ago

The sum to infinity of $\dfrac{1}{7} + \dfrac{2}{7^2} + \dfrac{1}{7^3} + \dfrac{2}{7^4} + \ldots$ is:

4 years 10 months ago

A merchant buys goods at 25% off the list price. He desires to mark the goods so that he can give a discount of 20% on the marked price and still clear a profit of 25% on the selling price. What per cent of the list price must he mark the goods?

4 years 10 months ago

From a group of boys and girls, 15 girls leave. There are then left two boys for each girl. After this 45 boys leave. There are then 5 girls for each boy. The number of girls in the begineeing was:

4 years 10 months ago

Andrea and Bethel run around a circular track whose circumference is 150m.

4 years 10 months ago

John ordered 4 pairs of black socks and some additional pairs of blue socks.

4 years 10 months ago

Amy can walk 4 km in the time it takes Baron to walk 5 km. Amy requires 3 minutes longer than Baron to walk a kilometer. Find the rate of Amy.

4 years 10 months ago

Allan and Bernard start at the same time from two places 136 km apart and travel toward each other. Allan travels 10 kph and Bernard 8 kph. If Bernard rests 1 hour on the way, in how many hours will they meet?

4 years 10 months ago

Two candles of the same height are lighted at the same time.

4 years 10 months ago

A battalion, 20 miles long, advances 20 miles. During this time, a messenger on a horse travels from the rear of the battalion to the front and immediately turns around, ending up precisely at the rear of the battalion...

4 years 11 months ago

At an ordinary rate a man can row the distance from Pasig to Manila, about 15km, in 5 hours less time than it takes him to return.

4 years 11 months ago

In what time would Alberto, Brando and Carlo together do a work if Alberto alone could do it in 6 hours more, Brando alone in 1 hour more, and Carlo alone in twice the time?

4 years 11 months ago

Ten stones are placed in a straight line on the ground, at intervals of two feet.

4 years 11 months ago

Three numbers whose sum is 42 are in GP. If 1 is subtracted from the first, 3 from three from the second, and 11 from the third, the remainders will be in AP. Find the smallest number.

4 years 11 months ago

The number of revolution per minute of a ball governor required to keep the balls h inches below the point of suspension varies inversely as the square root of h.

4 years 11 months ago

Albert and Bryan can do a certain task if both work together 3 days and Albert then works alone 1 day.

4 years 11 months ago

After 4/5 of his mangoes spoiled, Albert bought enough from Bryan so that each then had 1/3 as many as first and Albert had 80 more than Bryan. How many had Albert at first?

4 years 11 months ago

Differential equations: Newton's Law of Coolin

4 years 11 months ago

lXCn0Dq-3 What is the length of the dividing line DE in meters?

4 years 11 months ago

lXCn0Dq-2 How far is point E from corner A in meters?

4 years 11 months ago

lXCn0Dq-1 What is the bearing of side BC?

4 years 11 months ago

lXCn0Dq-0 Situation: A triangular lot ABC have side AB of length 94 m and bearing N 45° E and side AC of length 88 m, in clockwise direction.

4 years 11 months ago

xO3wmaY-3 If the monthly deposit after two years is increased to P1,000, and if the interest rate is 18% compounded monthly, what is the amount of the deposit after five years?

4 years 11 months ago

xO3wmaY-2 If the monthly deposit after two years is increased to P1,000, what is the amount of the deposit after five years?

4 years 11 months ago

xO3wmaY-1 What is the amount of the deposit after five years?

4 years 11 months ago

xO3wmaY-0 Situation: Five hundred pesos is deposited monthly to an account earning 7% compounded monthly.

4 years 11 months ago

Find the probability that somebody is healthy given that they have positive test result?

4 years 11 months ago

Find the first derivative of y with respect to x of the following function, when x = 2.$$ y = \dfrac{\ln x^2}{\sin 2x} $$

4 years 11 months ago

A closed conical tank has a base diameter of 2 m and is 5 m tall. When standing in upright position, the water in the tank is 3 m deep. How deep will the water stand in the tank when in inverted position?

4 years 11 months ago

Three circles of different diameter are tangent externally. The triangle formed by the line joining their centers has sides 16 cm, 20 cm, and 24 cm, respectively. Find the area of the smallest circle in square cm.

4 years 11 months ago

In a bowling game, how many ways can the 10 pins fall in the first throw?

4 years 11 months ago

A sphere of radius 18 inches is cut by two parallel planes that are 16 inches apart. Find the volume on the sphere included between these cutting planes if the radius of one of the circles cut is 15 inches.

4 years 11 months ago