Answer:
The answer would be 60.
Step-by-step explanation:
The four students in the table below each recorded the time and distance traveled while exercising. exercising distance (miles) time (minutes) gia 2 30 harris 5 50 ian 3 40 jackson 4 80 which list ranks the students from fastest walker to slowest walker? jackson, gia, ian, harris harris, jackson, ian, gia harris, ian, gia, jackson jackson, harris, ian, gia.Which of these triangle pairs can be mapped to each other using a single translation? cof hn
Answer:
x = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3(x - 2) = 2(x + 1)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 3x - 6 = 2x + 2
- Subtract 2x on both sides: x - 6 = 2
- Add 6 to both sides: x = 8
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(8 - 2) = 2(8 + 1)
- Subtract/Add: 3(6) = 2(9)
- Multiply: 18 = 18
Here we see that 18 does indeed equal 18.
∴ x = 8 is a solution to the equation.
1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much does the factory worker make in U.S. in dollars per year?
For this case we must first take the amount $ per month.
We have then:
1 $ ---> 4000
x = ----> 320000
Solving for x we have
x = (320000/4000) * (1) = $ 80 / month
We have then that 1 year two 12 months
($ 80 / month) * (12 months / 1 year) = $ 960 / year
Answer
the factory worker make 960 U.S. in dollars per year
2. People in Japan on average eat 3 ounces of fish per day. How many pounds of fish is this per week?
For this case, the first thing you should know is that a week has 7 days.
We can make a rule of three to find the number of ounces per week
3 ---> 1
x = ----> 7
x = (7/1) * (3) = 21ounces / week
Then, we should do the conversion of ounces to pounds
1 oz = 0.0625 pounds
Thus,
(21ounces / week) * (0.0625 punds / 1 ounce) = 1.3125 pounds / week
answer
3 ounces of fish per day is 1.3125 pounds / week
3. The town of Lloró, Colombia has an average yearly rainfall of 500 inches. On average, how many centimeters of rain does the town get each day?
The first thing you should know in this case are the following conversions:
1 year = 365 days
1 inch = 2.54 centimeters
We have the annual average rainfall is
500 (inches / year)
Making the conversion we have
500 (inches / year) * (2.54) (centimeters / inches) * (1/365) (year / days) =
3.45 (centimeters / days)
Answer
the town get each day 3.45 (centimeters / days)
4. The average American student is in class for 330 min / day. How many hours / day is this? Part b) How many sec / day?
The first thing you should know for this case are the following conversions
1 hour = 60 minutes
1 minute = 60 seconds.
Making the right conversions we have
330 (min / day) * (1/60) (hour / minutes) = 5.5hours / day
On the other hand we have
330 (min / day) * (60/1) (seconds / minutes) = 19800 sec / day
answer
330 (min / day) = 5.5hours / day
330 (min / day) = 19800 sec / day
So it is enclosed by 200 m of fence
perimiter=200 m
it is a rectangle to
p=legnth+legnth+width+width or
p=l+l+w+w or
p=2l+2w or
p=2(l+w)
so
p=200
200=2(l+w)
divide both sides by 2
100=l+w
area=l times w
area=2275
lw=2275
l+w=100
combine and solve
l+w=100
subtract w
l=100-w
subisutute 100-w for l in other eqution
(100-w)(w)=2275
distribute
-w^2+100w=2275
add (w^2-100w) to both sides
0=w^2-100w+2275
factor
find what 2 numbers add up to -100 and multiply to get 2275
guess (or factor 2275 and find factors that add up to -100)
figure out that they are -65 and -35
0=(w-65)(w-35)
set each to zero
0=w-65
0=w-35
solve for w
w=65 or 35
65>35 so
65 m=legnth
35 m=width
Answer:
$6,100
Step-by-step explanation:
12,500-1600(4)
12,500-6,400=6,100
