Equations, Expressions, and Inequalities Q&A: Get Expert Help and Learn from Real-World Examples

Expand and simplify $(\sqrt{c}+{\sqrt{d}}^2)$ . Assume c %u2265 0 and d %u2265 0.A. C^2-d^2B. |C| +2 |cd|+|d|C c^2+2cd+d^2D c+2 sqrt{cd+s

The forecast calls for a $30\mathrm{\%<!--\; \%\; -->}$ chance of snow today and a $40\mathrm{\%<!--\; \%\; -->}$ chance of snow tomorrow. what are the chances it will rain two days in a row?

The figure shows how the yard lines on a football field are numbered. The goal lines are labeled G. A referee was standing on a certain yard line as the first quarter ended. He walked 41 3/4 yards to a yard line with the same number as the one he had just left. How far was the referee from the nearest goal line

Create a verbal phrase to describe a real world Scenario of our everyday life and translate it into a mathematical Algebraic expression and solve.

the base of an isosceles triangle is 2mm more than one third the length of the equal sides. if the perimeter is 16mm, find the length of each side

1) Beth says the graph below shows today's temperatures in degrees Celsius. What is the greatest temperature that is a solution to the inequality shown below?

2) Four students put their game scores on the number line below. Which pair of students have a combined score of 0?

3) Malorie wants to leave a 156 tip for the server at a restaurant. Which expression does not show how she can determine how much to leave if t is the total bill? Circle the correct answer.
$0.15t,t÷<!--\; ÷\; -->0.15,0.1t+0.05t$

An amount of $15,000 is invested in a fund that has a return of 6%. How much money is invested in a fund with a 4% return if the total return on both investments is $1380?

Small Business Loan The probability that a bank with assets greater than or equalto $30 billion will make a loan to a small business is 0.002. What are the oddsagainst such a bank making a small business loan? (Source: The Wall Street Journalanalysis of CA1 Reports filed with federal banking authorities.)

|a-9|, if a < 9 Write with out the absolute value

A chemist has three different acid solutions. The first acid solution contains 20% acid, the second contains 35% and the third contains 80% . He wants to use all three solutions to obtain a mixture of 54 liters containing 45% acid, using 2 times as much of the 80% solution as the 35% solution. How many liters of each solution should be used? The chemist should use liters of 20% solution, liters of 35% solution, and liters of 80% solution.

The Spanish club is sponsoring a car wash. They are charging $5 per car. Write the expression to represent the amount of money earned based on the number of cars washed, c. 5(C) Write a function that models the profit made based on the number of cars washed. How is this function similar to the equation above? Identify the independent and dependent variables.

After 10 minutes, there will be 42 gallions of water in the tank. The tank is being filled at the constant rate of 5 gallons every 25 minutes.
For this scenrio.
A. Make a table of the data. Included at least 4 ordered pairs
B. Define your varaibles
C. Figure out the equation that describes the data
D Graph this equation. Label and scale the axes appropriately

Determine:
$$\begin{gathered} 27x^2-<!--\; -\; -->39x-<!--\; -\; -->10 \\ 3(x^2-<!--\; -\; -->3x+5)-<!--\; -\; -->2(x^2-<!--\; -\; -->2x+1) \\ \frac{4}{5}y+\frac{1}{4}(y-<!--\; -\; -->5)=y+\frac{1}{8} \end{gathered}$$

The Rose Bowl has a seating capacity of 106, 721
Write 106, 721 as mathematical expression in expanded form
For example: The number 1,234 in expanded form is written: $1000+200+30+4$
So, 106, 721 in expanded form is written: ?

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
A. 360
B. 480
C. 720
D. 5040
E. None of these

as a darkroom technician, you are mixing up a special developer to process 3 rolls of film. the mixing instructions call for 1 part concentrate developer to 5 parts water in order to make 6 parts of mixed developer. You need about 450 milliliters of the mixed developer. How many milliliters of concentrated developer should you use?

A car is driving a distance of 10 miles. The chart below gives the distance the car has traveled at several times during the trip. Calculate the average rate of change between each successive pair of times. What is the common name for this value?
Time (min)0 5 8 12 18 20
Distance (miles) 0 2 4 6 8 10

The year 2010 prices of several items are given below. Find the estimate future prices required to fill the blanks in the chart.
$\begin{array}{|cccccc|}\hline Item& 2010Price& 2015Price2\mathrm{\%<!--\; \%\; -->}Inflation& 2025Price2\mathrm{\%<!--\; \%\; -->}Inflation& 2015Price11\mathrm{\%<!--\; \%\; -->}Inflation& 2025Price11\mathrm{\%<!--\; \%\; -->}Inflation\\ Smallcar& 18,800\\ \hline\end{array}$
2015 Price 2% Inflation = $?

Suppose that the space S contains exactly 8 points. If G is a collection of 250 distinct subsets of S, why is it true that G has a member that contains exactly 1 element?

Part of understanding linear programming is knowing how to do the algebra to identify the points where you are using all of both items to either maximize profit or minimize loss.
So, to give you additional practice with the algebra of linear programming, do the following:
Step 1: If your last name ends in A-H, do problem #1. If your last name ends in I-P, do problem #2. If your last name ends in Q-Z, do problem #3.
Problem 1 – Use your class notes and textbook to solve for X1and X2:
$2x_1+4x_1=80$
$3x_1+1x_2=60$
Problem 2 – Use your class notes and textbook to solve for X1and X2:
$2x_1+4x_2=400$
$100x_1+50x_2=12$
Problem 3 – Use your class notes and textbook to solve for X1and X2:
$4x_1+6x_2=48$
$4x_1+2x_2=12$
Step 2: Once you have determined the answers for $x_1$ and $x_2$in each problem, count how many letters you have in your first and last name. The number of letters in your first name will equal the profit per item for $x_1$ and the number of letters in your last name will be the profit per item for $x_2$.
Then multiply the answer you came up with for $x_1$ by the number of letters in your first name, and then multiply the answer you came up with for $x_2$ by the number of letters in your last name.
Example: Both my first and last name are each 4 characters long. If $x_1$ is 10 and $x_2$ is 15, I would multiply (10*4) = $40 and (15*4) = $60. So, your profit for $x_1$ would be $40 and your profit for $x_2$ would be $60, for a total profit of $100.
Step 3: Answer the following questions:
a. Based on your last name, which problem (1, 2, or 3) did you solve? (value: 10 points)
b. What answer did you get for $x_1$? (value: 20 points)
c. What answer did you get for $x_2$? (value: 20 points)
d. Based on the number of characters in your first name, what profit did you get for $x_1$? (value: 20 points)
e. Based on the number of characters in your last name, what profit did you get for $x_2$? (value: 20 points)
f. What is the sum of your profits for $x_1$ and $x_2$? (value: 10 points)