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
Answer:
First angle = 30°
Second angle = 60°
Third angle = 90°
Step-by-step explanation:
x + y + z = 180
y + z = 5x
z = y + 30
then:
y + (y+30) = 5x
2y + 30 = 5x
x = (2y+30)/5
then:
x + y + z = 180
{(2y+30)/5} + y + y+30 = 180
{(2y+30)/5} + 2y + 30 = 180
{(2y+30)/5} = 180 - 30 - 2y
{(2y+30)/5} = 150 - 2y
2y+30 = 5(150-2y)
2y+30 = 5*150 + 5*-2y
2y+30 = 750 - 10y
2y + 10y = 750 - 30
12y = 720
y = 720/12
y = 60°
x = (2y+30)/5
x = (2*60 + 30)/5
x = (120+30)/5
x = 150/5
x = 30°
z = y + 30
z = 60 + 30
z = 90°
Check:
x + y + z = 180°
30° + 60° + 90° = 180°
Answer:
Step-by-step explanation:
1/3x > -4
cross multiply
1>-4 × 3x
1>-12x
solve for x
x = -1/12
Answer:
420.72
Step-by-step explanation:
