# algebra

convert 5.346 to a percent

Convert 38.6% to a decimal.

1. 👍
2. 👎
3. 👁
1. multiply by 100

divide by 100

1. 👍
2. 👎
2. Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all of your work and write answers in rational form.

3 x + 7 = 9

Show your work here: 3 x + 7 = 9
-7 - 7
3/3 x = 2/3
X = 2/3

b)

Show your work here: -3(x +5) + 3 = 12
-3x+15 +3 =12
- 3 x + 18 = 12
- 18 - 18
3/3x = -6/3
X = -2

C)

Show your work here: 3(2/3 x+ 1/6x)=2.3 2x + ½ x = 6 x =6 x =5 x= 12/5

d)

Show your work here: -2 x – 4 < 10 + 4 +4 -2/-2 x < 14/-2 x = - 7

2)

a) Solve for y
Answer: y = 2 – 3 x

Show your work here: 3 x + 4 y = 8
-3 x 3 x
4/4 y = 8 -3 x
Y = 2 – 3 x

b) When graphed this equation would be a line. By examining your answer to part a, what is the slope and y-intercept of this line?
Slope = -3
Y-intercept = 2
c) Using your answer from part a, find the corresponding value of y when x =8.

Show your work here: x =8 y = 2 -3x y = 2 – 3 (8) y = 2 -24 y =22
3) The following graph shows Mary’s salary from the year 2004 to the year 2007. She was hired in the year 2004; therefore x = 0 represents the year 2004.

a) List the coordinates of any two points on the graph in (x, y) form.
(x3, y¹ 5), (x²1-, 1y²)
b) Find the slope of this line:
X² - x¹
Show your work here: m= - 1 + ¯5 = ¯6
1 + ¯3 = ¯2 slope = 3
c) Find the equation of this line in slope-intercept form.
Answer: y =3 x + 1
Show or explain your work here: y = m x + b
Y = 3 x + 1
d) If Mary’s salary trend continued, what would her salary be in the year 2014? Show how you obtained your answer using part c).
Answer: Mary salary will be 43,500 in 2004.
Show or explain your work here: m x b = y
1500(7) + 33,000 = y 10,500 +33,000= y= 43,500

4) Suppose that the width of a rectangle is 2 inches shorter than the length and that the perimeter of the rectangle is 80. P= 80 x = width x +2 = length
P = 2 (1) + 2 (w)
a) Set up an equation for the perimeter involving only L, the length of the rectangle. Answer: x + 2 = length
b) Solve this equation algebraically to find the length of the rectangle. Find the width as well.
Answer: Length _x = 2 = 19 + 2= 21, Width _x = 19
a) Show your work here: 2 (x = 2) + 2x = 80 2x + 4 + 2 x = 80 4x + 4 = 80 -4 -4 4x/4 = 76/4 x = 19 width = x= 19 length = x = 2 =19 + 2 = 21

5) A tennis club offers two payment options:
Option1: \$32 monthly fee plus \$3/hour for court rental
Option 2: No monthly fee but \$6.50/hour for court rental.
Let x = hours per month of court rental time.
a) Write a mathematical model representing the total monthly cost, C, in terms of x for the following:
Option 1: C=32 + 3 (x)
Option 2: C=_\$6.50 (x)
b) How many hours would you have to rent the court so that the monthly cost of option 1, is less than option 2. Set up an inequality and show your work algebraically using the information in part a. Round to 3 decimal places if necessary.

6) Plot the following points on the given rectangular coordinate system by clicking on the given dots and dragging them.

If you were to connect these points with a line, where would the y-intercept be located? Give answer in (x, y) form.

(___, ___)

1. 👍
2. 👎

## Similar Questions

1. ### English

chapter 14 sentence check 2... Although everything about the Nazis ﬁlled the Dutch spy with ____ (convert), his assignment was to ___(convert)peoples pain.

2. ### Math

I don't really get how to convert percents. Can you guys help me? 1. Write 423% as a decimal. 0.423 42.3 4.23 423 2. Write 316/25 as a percent. 3.64% 3.80% 364% 380% 3. Write 0.35% as a decimal. 0.035 0.0035 0.00035 3.5 Thanks BTW

3. ### Math

Give a real-world example in which decimals are used and a real-world example of when fractions are used. Be specific with your examples. Why is it important to know how to convert from one form into another form? What strategies

4. ### Math

Convert 2yd, 2ft, 5in. to centimeters. Convert 10yd,1ft, 7in. to meters. I tried it twice but still didn't get it right. Please help me out.

1. ### Math

write each decimal as a percent: 1.07 35 0.003 0.0077 what do i do to convert the decimal into a percent??

2. ### math againn (converting decimals)

Write 6.4% as a decimal and as a fraction. Write 2 and one fourth as a decimal and as a percent. To convert from percent to decimal simpoy divide by 100. 6.4% = 0.064. To convert to fraction (do you want a mixed fraction or not?

3. ### math

How do i convert 7 2/5 into a decimal

4. ### History

Which best describes how the Age of Discovery affected religious practices of indigenous peoples in the New World? spanish explorers set out to convert the Mayan empire in present-day Mexico to Islam hernan Cortes set out to

1. ### Math

How do I convert a percent WITH a repeating decimal to a fraction?! I need fast help plz!!

2. ### math

convert 5/8 to a decimal

3. ### Math

Convert 3¾ % to a decimal.

4. ### chemisty

I have to convert the following pressures into torr: 1. 2.48x10^-3atm 2. 4.75x10^6atm 3. 7.60x10^6 i have no idea how to convert it when there are scientific notations involved. please help =]]