Answer:
The unit rate in minutes per miles be 8.02 minutes per miles .
Step-by-step explanation:
Step 1. 26.2 miles/ 210 mins = x miles / 1min
1 * 26.2 / 210 = .12 miles / min
Step 2. 26.2. 0.13
÷210.
210. 1
(The amount miles ran in 1 minute is 0.13 miles.)
Step 3. 26.2/210= .125 miles per minute
210/26.2= 8.02 minutes per mile
Step 4. 1) Cross multiply. (26.2 = 210x)
2) Divide 210 from each side. (26.2/210 = .1247619048 , 210x/210 = x)
3) Round to the nearest 100th. (.12)
4) X=.12
5) .12 miles ran per minute
<span>3x</span>²<span> + 23x − 8 = 3x</span>² + 24x - x - 8 = 3x(x+8) - (x+8) = (x+8)(3x-1)
Notice that the denominators are 3 and 7, which are factors of 21.
So express all the fractions with denominator 21:
On Monday

are sold
On Tuesday

are sold
On Wednesday

are sold
by Thursday

of the tickets was sold.
Answer:
The numbers given in the problem above are part of an arithmetic sequence with first and sixth terms equal to -21 and -36, respectively. Firstly, calculate for the common difference (d).
d = (-36 - -21) / (6 - 1) = -3
The arithmetic mean is calculated by adding -3 to the term prior to it.
a2 = -21 + -3 = -24 a3 = -24 + -3 = -27
a4 = -27 + -3 = -30 a5 = -30 + -3 = -33
Thus the four arithmetic means are -24, -27, -30, and -33.
Answer:
Ella has the greatest return in the current year.
Step-by-step explanation:
Debby would receive $0.80 for each of her 2000 common stock in the oil company,hence Debby's return on investment in the current year is $1600($0.80*2000)
Besides,Ella's return on the stock investment in the current year is computed thus:
Ella's return= 5%*1000*$50=$2,500
In addition,Unique's dollar return on the investment is computed as follows:
Unique's return on investment=4%*2000*$20=$1,600
From the above computations,Ella seems to have the highest return in the current year of $2,500 whereas the two others managed to have $1600 return each