Mastering Math Word Problems

Solve the equation for x.
 
x3 = 27
 
The solution of the equation is x =

If a car averages 10.4 liters per 100 km of city driving,
and the car averages 1800 km of city driving per
month, how much fuel does it use in an average month
of city driving?

What is the probability that not more than 2 wells are pure?

A pendulum of length 40cm swings through an angle of 20degrees . Calculate the arc length PQ moved by the pendulum in one swing .

: Among any group of 367 people, there must be at least two with the same birthday, because
there are only 366 possible birthdays.

Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows:

• Robert weighs 25 cows and gets an average weight of 1,550 pounds (stdev = 50)
• Val weighs 100 cows and gets an average weight of 1,380 pounds (stdev = 50)

What is Val’s margin of error, rounded to the nearest whole number? (The formula is 1.96 (std dev) / 

Juan will roll a fair number cube numbered 1 through 6 one time.  

What is the probability of rolling an even number?

Kryton -85 is a radioisotope of krypton that has a half-life of about 10.75 years. This isotope is produced by the nuclear fission of uranium and plutonium in nuclear weapons and in nuclear reactors, as well as cosmic rays. An important goal of the Limited Nuclear Test Ban Treaty of 1963 was to eliminate the release of such radioisotopes into the atmosphere. At present, the activity of Krypton -85 in the atmosphere is about 135mCi.

How much Krypto -85 will be present in the atmosphere after 12,532 days?

Make any 10 questions ( real life examples) to form linear equations to get solutions as 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. respectively and then solve.

$L\left[{\cos }^{2}x\right]$

log(2) 2+ log(5) 625=?

Solve the ODE by Laplace transform

y^2-3y^1+2y=4t-8; y(0)=2, 

Find the mean of the following data: 12, 10,15, 10, 16, 12,10,15, 15, 13

The real part of any complex number of Z and its conjugate are the same

If 24 is added to a number is one-half of the larger number and the sum of the two numbers is 57 ,find the numbers