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
Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
Answer:
No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)
Step-by-step explanation:
-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of water >height of glass.
#Volume of the golf ball:

#The volume of the water in the glass:

We then equate the two volumes to the glass' volume to determine the new height of the water:

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).
Answer:
-2x = -60
Isolate x and simplify.
2x = 60
x = 30
Straight vertical line through x=30.
Answer:
D
Step-by-step explanation: