Answer:
N = 105/u
U = 105/n
Step-by-step explanation:
Let's solve for n.
un=(5)(21)
Step 1: Divide both sides by u.
nu/u = 105
un = 105/u
__________________________
Let's solve for u.
un=(5)(21)
Step 1: Divide both sides by n.
nu/n = 105/n
u = 105/n
What is the flaw in Gina’s proof?
A) Points D and E must be constructed, not simply labeled, as midpoints.
B) Segments DE and AC are parallel by construction. THIS IS THE FLAW. THE SEGMENTS WERE NOT DRAWN NOR PROPERLY IDENTIFIED.
C) The slope of segments DE and AC is not 0.
D) The coordinates of D and E were found using the Distance between Two Points Postulate
Answer:
0/0 = undefined not 1
Step-by-step explanation: Undefined means there are no solutions possible for the operations in view. The example in question is itself wrong. n/0 is infinite but not undefined. 0/0 is undefined
Answer:
She uses 200 milliliters of solution B
Step-by-step explanation:
Notice that there are two unknowns in this problem: 1) the amount of solution A that is being used, and 2) the amount of solution B being used. We can name such unknowns with letters to facilitate our work:
Amount of solution A to be used = A
Amount of solution B to be used = B
So, since we need to find two unknowns, we need to create a system of two equations to solve them.
Our first equation can be obtained from the sentence: "She uses twice as much Solution A as Solution B," which written in mathematical form is:
A = 2 B
The second equation we can build from the information of the amount of alcohol in each solution that combined will add up to 104 milliliters of alcohol in the mixture. Knowing the percent of alcohol in each solution, we can write an equation for the amount of alcohol:
0.19 A + 0.14 B = 104
Now we can use our first equation to substitute A in terms of B in the second equation:
0.19 (2 B) + 0.14 B = 104
0.38 B + 0.14 B = 104
0.52 B = 104
B = 104 / 0.52
B = 200 milliliters
Answer:
1733.28 m³ or approximately 1733 m³
Step-by-step explanation:
Cone - 1/3πr²h
Cylinder - πr²h
Cone - 1/3(3.14)(6)²(10) ⇒ 376.8
Cylinder - (3.14)(6)²(12) ⇒ 1356.48
1356.48 + 376.8 = 1733.28 m³
Approximately 1733 m³