Answer:
100cubic inches
Step-by-step explanation:
varies inversely
pv = k
Find the constant of variation:
volume of 180 cubic inches under a pressure of 5 pounds
5 * 180 = k
k = 900
volume if the pressure is increased to 9 pounds per square inch?
9v = 900
divide both sides by 9
v = 100
Answer:
-6.3
Step-by-step explanation:
4.2x, if x = 0, then y = -6.3
Answer:
12 miles
Step-by-step explanation:
monday=4 miles
tuesday=4 miles
wednesday= 4 miles
4+4+4=12
Answer:
b = -5/2
Step-by-step explanation:
- 6 (b + 3)= - 8 + 5
- 6b - 18= - 3
- 6b= - 3 + 18
- 6b= 15
b= - 15/6
b= - 5/2
Answer: point F is at <u> 0.6 </u> on the number line
=============================================================
Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.