The cross of the position vectors is
.. [5, 2, 2] × [6, -1, 1] = [4, 7, -17] . . . . . the normal vector of the desired plane
Since the origin is a point in the plane, its equation can be written as
.. 4x +7y -17z = 0
Answer:
Seth has 21 nickels
Step-by-step explanation:
Let n represent the number of nickels. Since Seth has 8 more nickels than dimes, then (n-8) is the number dimes.
Nickel is worth 5 cents and dime is worth 10 cents. Thus, n nickels are worth 5n cents and (n-8) dimes are worth 10(n-8) cents. The total value of Seth's coins is $2.35 that is 235 cents, then

Solve this equation:

Answer:
12 L 500 mL
Step-by-step explanation:
First, multiply the two types of bottles separately.
5 × 400 = 2000 mL
7 × 1.5 = 10.5 L
You can convert the volume of the first from milliliters to liters. There are 1000 milliliters in 1 liter. In the second volume, you can convert the decimal to milliters.
2000 mL = 2 L
0.5 L = 500 mL
Add all of the numbers together.
10 L + 2 L + 500 mL = 12 L 500 mL
Tony purchased 12 L and 500 mL of water.
Division would go first, then multiplication.
16 ÷ 8 = 2
2 × 243 = 486