Answer:
32 and 46.
Step-by-step explanation:
y = x - 14
x + y + 7 = 85
x + y = 78
From the first equation:
-x + y = -14 Adding the last 2 equations:
2y = 64
y = 32
and from the first equation (y = x - 14) :
32 = x - 14
x = 32 + 14 = 46.
The number of 0.4 liter glasses of water that will be poured in the pitcher is 13
From the information given, we are being told that a pitcher can hold a maximum amount of 5.2 liters of water.
If we are to use a 0.4 liter of glass to pour water in the pitcher, then the number of times we will use the glass to pour water in the pitcher can be estimated as:
Number of glass that can fill the pitcher = 5.2 liters/ 0.4 liters
= 13 glass
Learn more about solving word problems in mathematics here:
brainly.com/question/2121480?referrer=searchResults
Draw a diagram to illustrate the problem as shown below.
Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³
Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³
The volume that can be filled with flavored ice is
V = V₁ - V₂ = 115.5π in³ = 362.85 in³
Answer:
The volume is 115.5π in³ or 362.9 in³ (nearest tenth)
Let's write the parametric line
(x,y,z) = (0,2,8) + t(5,-1,4)
(5,-1,4) is called the direction vector of the line. It's normal to the plane
5x - y + 4z = constant
We get the constant by substituting the point (3,0,7),
5x - y +4z = 5(3) - 0 + 4(7) = 43
5x - y +4z = 43
