Algebra Word Problem Solutions

An elevator ride down Steven stories

Alice, Bernice, and Chery! shared some stamps in the ratio 8:9:18. Alice received 184 stamps. Find the number of stamps that Bernice and Cheryl each received.

Tell whether the function represents exponential growth or decay. $h(x)=2.5(0.8{)}^x$

${\displaystyle d\frac{P}{dt}=kP(1-\frac{P}{M})(1-\frac{m}{P}))}$
$\frac{dP}{dt}=kP(1-\frac{P}{M})(1-\frac{m}{P})$

Solve this differential equation using separation of variables. Only separate the equations and integration (not solving for P)
M= carrying capacity (maximum value)
m= threshold value (minimum value)
k= the proportionality constant

Each of 5 friends has x action figures in his or her collection. Each friend buys 11 more action figures. Now the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that each friend had originally.

The Manitou Incline, which leads to the top of Pike's Peak in Colorado, climbs from an elevation of 6574 feet to 8585 feet above sea level. The fastest reported time for running up the incline is 16 minutes and 42 seconds, by Mike Fretta. How many vertical feet per second did Mark climb during his record-breaking performance? (Round to 1 decimal digit.)

2.37 - (-1.55) - 2.48

As part of the largest-to date damage award in a jury trial in history, the penalty handed down against the tobacco industry included a $74 billion judgment against Philip Morris. If this amount was 94% of this companys

Solve over the interval

$$\begin{gathered} [0,2\pi ) \\ 2(co{s}^2)x+cosx=0 \end{gathered}$$

Find the negation of the following statement:
"There exists a negative real number z such that -3

${\displaystyle \log 3(x+3)-\log 3(x-3)=2}$

Among 25- to 30-years-olds, $28\mathrm{\%}$ say they have operated heavy machinery while under the influence of alcohol Suppose three 25- to 30-years-olds are selected at random. Complete psrts (a) through (d) below:
a) What is the probability that all three have operated heavy machinery while under the influence of alcohol?
b) What is the probability that at least one has not haavy operated heavy machinery while under the influence of alcohol?
c) What is the probability that none of three have operated heavy machinery while under the influence of alcohol?
d) What is the probability that at least one has operated heavy machinery while under the influence of alcohol?

Basic facts and techniques of Boats and Streams of Quantitative Aptitude Boats and Streams is a part of the Quantitative aptitude section. This is just a logical extension of motion in a straight line. One or two questions are asked from this chapter in almost every exam. Today I will tell you some important facts and terminologies which will help you to make better understanding about this topic.

To solve: ${\displaystyle 70=y-22.81}$

Solve the system of equations using Gaussian elimination
4x-8y=12
-x+2y=-3

Solve.
The absolute value of ${\displaystyle -\left|-45\right|}$

Find the equilibrium price and quantity for the supply in demand and equations.
d(p)= 14,400-5p
s(p)= 1,500+2p

Use Cramer’s Rule to solve the system of linear equations.
$\{\begin{array}{l}20x+8y=11\\ 12x-24y=21\end{array}$

Solve the system of equations.
4x+y=16
2x+3y=18