We know that
The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two
V - E + F = 2
clear F
F=2-V+E
in this problem
V=8
E=14
F=?
so
F=2-8+14
F=8
the answer is8 faces
Answer:
Let x = the number. Then you have:
2x + 14x = 48 Collect like terms
16x = 48 Divide both sides by 16
x = 3
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Answer:
x = 3.5 or 16/5 or 3 1/5
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
The graphic you are looking for looks like the one shown in the attached figure.Remember that to graph a line you need two points, which you give them. The equation of the line you are looking for in this case will be given by y = 2x + 1
By performing a change of units, will see that the recipe only makes 21 cups of punch, so it is not enough for the whole class.
<h3>
Will the recipe make enough punch?</h3>
The class wants to make, <u><em>at least, 24 cups of punch.</em></u>
The recipe that they will use needs:
1 gal of ginger ale, 1 quart of orange juice, and 1 cup of lemon juice.
Let's write all of these quantities in cups, to see how many cups of punch this recipe makes:
- 1 gal = 16 cups.
- 1 quart = 4 cups
Then the recipe mixes:
16 cups of ginger ale, 4 cups of orange juice, and 1 cup of lemon juice, then this recipe makes:
16 cups + 4 cups + 1 cups = 21 cups
This is not enough for the 24 students.
If you want to learn more about changes of units, you can read:
brainly.com/question/9032119