Mastering Proportions: Problems and Examples

Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the given event.Two cards of the same suit are drawn.

Super Fast Software Inc., is a software company that specializes in making very fast programs. The company is comprised of five managers, nine software engineers that specialize in mobile apps, eleven software engineers that specialize in web apps, ten software engineers that specialize in building Windows desktop apps, thirteen software engineers that specialize in Mac OS desktop apps, and six security engineers that protect company infrastructure and make sure their apps are secure before they are released to the public. What is the ratio of engineers to managers? (Use only a, b, c, or d as answer)
a) 10:1
b) 49:5
c) 43:5
d) 5:6

There are infinite numbers between 89.9 and 90? True or false and explain why

A college marching band consists of 39 males and 30 females. Find the ratio of male band members to total band members.
The ratio of male band members to total band members is?

What is the best approximation of the cube root of 125?

Today there are 3,349 thousand elementary and secondary teachers employed in a certain country. This number is expected to increase to 3,520 thousand teachers by the next decade. What is the percent​ increase?
The percent increase of teachers is about ? %.

A family paid ​$24,750 ,as a down payment for a home. If this represents 15​% of the price of the​ home, find the price of the home.
The price of the home is ? $

A furniture company currently produces 6500 chairs per month. If production increases 9​%, find the increase and the new number of chairs produced each month.
The increase in the number of chairs produced each month is ?
The new number of chairs produced each month is ?

Find the equation $\frac{5}{2}+\frac{2}{4}-<!--\; -\; -->\frac{1}{8}+\frac{5}{3}[\frac{3}{4}\times <!--\; \times \; -->\frac{7}{2}]$

Can anyone solve it ?
There are 10 semifinalists for thew title of Miss How do I set up this Venn diagram? There are 10 semifinalists for thew title of Miss Denmark. Among them are a total of 7 blondes and 4 women with blue eyes.
If 2 of the xsemifinalists are blue-eyed blondes: How many of the semi-finalists have either blonde hair or blue eyes? How many of the semifinalists have neither blonde hair nor blue eyes? How many of trhe semifinalistsare blonde, but not blueyed?

Find $\frac{6}{7}$ of $3\frac{3}{4}$.

A new​ plasma-screen television has a purchase price of​ $5260. If the sales tax on this purchase is​ $368.20 find the sales tax rate.
The sales tax rate is ? %.

x is rational number (not natural number)
then, prove that ${15}^x$ is irrational number.

The sales tax on the purchase of a futon is ​$38.2. If the tax rate is 88​%, find the purchase price of the futon.
The purchase price is ​$

Rationalize the denominator and simplify.
$\frac{\sqrt{5}-<!--\; -\; -->\sqrt{2}}{\sqrt{5}+\sqrt{2}}$

If a number decreases from 1500 to 300 what is the rate of decrease?

Solve the equation:
$0.175=1-<!--\; -\; -->\frac{3}{\sqrt{9+d^2}}$

how to simplify the ratio $4oz÷<!--\; ÷\; -->2lb$

Show how to use black and red chips to carry out the following operation
$7-<!--\; -\; -->(-<!--\; -\; -->2)=$
and determine the answer.