Answer:
a). true
b). true
Step-by-step explanation:
a).
Given : If a = 5, then ac = 5c
Let c be any constant.
a = 5 (given)
Therefore, ac = 5c
Here a is given a constant value (5), also let assume c to be a constant. So when we multiply each term we will get a constant value of 5c. The ratio does not change.
Hence proved.
b).
Given : If ac = 5c, then a = 5
Let c be any constant
It is given, a = 5
Therefore, ac = 5c
Here the product of two terms is given as 5c, where c is assume to be a constant. Then as a product rule, the value of a will be 5. The ratio will not change.
Hence proved.
Answer:
$1020
Step-by-step explanation:
Let x and y represent the numbers of Platter A and Platter B the organizer needs to purchase, respectively. The given conditions can be summarized as ...
x + 2y ≥ 80 . . . . . . 80 or more hamburgers are required
3x + y ≥ 95 . . . . . . 95 or more hot dogs are required
5x +8y ≥ 380 . . . . 380 or more chicken wings are required
16x +20y = c . . . . . c must be minimized
__
It is useful to graph these inequalities, and look for the vertex of the feasible region that is closest to the origin. That vertex is (x, y) = (20, 35). The other vertex that is close to the origin is (60, 10). The cost of that order would be $1310.
The value of an order of 20 Platter A and 35 Platter B is ...
20×$16 +35×$20 = $320 +700 = $1020
The minimum cost of the picnic food is $1020.
Answer:
Step-by-step explanation:
To find how many it is greater, divide the size of the largest email by the smallest email and both should in bytes. So, convert megabytes and kilo bytes to bytes.
4 kilo bytes = 4* 10³ bytes
8 megabytes = 8 * 10⁶ bytes


Hint:

Answer:
In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Step-by-step explanation: