Answer:
Step-by-step explanation:
m=10
Step-by-step explanation:
The angles ∠LHM and ∠JHM are on a straight line, therefore they are supplementary and add to 180 degrees
∠LHM+∠JHM=180
We know that ∠LHM is 2m+10 and ∠JHM is 5m+100, so we can substitute them in
2m+10+5m+100=180
Combine like terms
(2m+5m)+(10+100)=180
7m+110=180
Subtract 110 from both side s
7m=70
Divide by 7 on both sides
m=10
Answer:
x=1 and x=-4
Step-by-step explanation:
Put it into your calculator, go to graph and look at which points it says ERROR.
Your answer is x = -250
Hope I could help
Answer: the cylindrical bottle contains 141.39 centimeters ^3 of water
Step-by-step explanation:
The bottle has the shape of a cylinder. This means the volume of the bottle will be calculated using the formula for calculating the volume of a cylinder. Formula for calculating the volume of a cylinder is
V = πr^2h
Radius, r = diameter of the cylindrical water bottle /2 = 4/2 = 2 centimeters
Height of cylindrical water bottle, h = 15 centimeters
Volume of cylindrical water bottle, V = 3.142 × 2^2 × 15
= 188.52 centimeters ^3
If he filled the water bottle 3/4 full of water, this means that the current volume of the water bottle is 3/4 × it's original volume.
= 3/4 × 188.52 = 141.39 centimeters ^3
Answer:
The cost of soft drink is $0.95
Step-by-step explanation:
Let the cost of hot dog be x
Cost of 2 hot dogs = 2x
Let the cost of soft drink be y
Cost of 3 soft drinks = 3y
At a cost restaurant the cost for a hot dog and a soft drink is $2.10.
So, x+y=2.10
The cost for two hot dogs and three soft drinks is $5.15
So, 2x+3y=5.15
Plot the lines on the graph:
x+y=2.10 --Purple line
2x+3y=5.15 --- Black Line
Intersection point =(x,y)=(1.15,0.95)
Hence The cost of soft drink is $0.95