Answer:
Range: 0.07
Median: 0.145
Mode: none
Step-by-step explanation:
<u>Range:</u> largest #- smallest #
<u>Median:</u> middle number (when numbers are in order least to greatest) or when two are middle number you add them, and divide by two
<u>Mode:</u> most occurring number(s) (if there aren't any, no mode)—but if there are multiples such as 2 zeros and 2 ones then 0 and 1 would be the mode
I will give you everything I can do:
11)
Lets say Car A travels at x mph. That means Car B travels at x+2 mph.
Both of them are traveling towards each others, so we can say the total speed is 2x+2.
Now i takes 3 hrs and we know the distance.
Since R*T=D
Then 3(2x+2)=270
So 2x+2=90
2x=88
x=44
12)
To find perpendicular we want to find the opposite reciprocal of the original slope. Therefore the slope is 3/2.
Now we must find the equation of the line with the given variable.
First find b.
5=3/2*4+b
b = -1
So the equation of this line is:
y=3/2x-1
13) All work will be shown below.
6-3(-2-4x)=2(3(x-4)+7)
6+6+12x=2(3x-12+7)
12+12x=2(3x-5)
12+12x=6x-10
6x=-2
x = -1/3
14)
First we must find the amount each train traveled.
The speed of F train(Freight train)=x
The speed of P train(passenger train)=x+6
Their combined speed is 2x+6
It takes 2 hrs to cover 100 miles
So 2(2x+6)=100
2x+6=50
2x=44
x=22
So the freight train covered 44 miles and the passenger train covered 56 miles.
To find average speed you must do Total Distance/Total Time.
44/2 and 56/2
Which are 22 and 28.
The average speed of F train is 22 mph and average speed of P train is 28 mph.
15) Again opposite reciprocal.
3/5 -> -5/3
Work:
-4=-3*-5/3+b
-4=5+b
b=-9
y = -5/3x-9
16)
F=kx-kx0
First kx0 = 0
So F=kx
So x=F/k
Answer:
Step-by-step explanation:
Power = Force × Velocity.
15*120=1800
40%=0.4
0.4(20)
8(markup)
Shirt price=$20+ $8
New price=$28
Answer:
Company's total liabilities are $6,351.
Step-by-step explanation:
A company's financial information is given, we have to calculate the company's total liabilities.
Total assets = Fixed assets + current assets
Current assets = Total assets - Fixed assets
= $8,190 - $5,385
= $2,805
Networking capital = Current assets - Current liabilities
$735 = $2,805 - current liabilities
Current liabilities = $2,805 - $735
Current liabilities = $2,070
Total liabilities = Long term debt + current liabilities
= $4,281 + $2,070
= $6,351
Company's total liabilities are $6,351.