The number of minutes it will take 5 machines to make 15 widgets is 90 minutes
Given that :
The time taken to make a widget is directly proportional to the number of widgets made and inversely proportional to the number of machines utilized.
Using the variation protocol defined :
Let :
n = number of widgets made
n = number of widgets made m = number of machines used
n = number of widgets made m = number of machines used t = time taken
Hence, from joint variation :
t α n α 1/m
t = kn/m
Where k = constant of proportionality :
Solving for k
When t = 10, n = 5, m = 15
10 = (k × 5) / 15
15 × 10 = 5k
150 = 5k
k = 150 / 5
k = 30
Equation becomes :
t = 30n/m
Solve for t ;
When m = 5 ; n = 15
t = (30 × 15) / 5
5t = 450
t = 450 / 5
t = 90
Hence, it will take 90 minutes.
Learn more : brainly.com/question/18796573
Given :
a-b = c-d ...1)
b = d-1 ...2)
c = 6
To Prove :
a = 5
Solution :
Adding equation 1 and 2, we get :
(a-b) + (b) = (c-d) + (d-1)
a = c -1 ...3)
Putting given value of c = 6 in above equation, we get :
a = 6 - 1
a = 5
Hence, proved.
Answer:
7.2
Step-by-step explanation:
distance between the two points. (1, 2), (7, 6) = √(x-x')²+(y-y')²
d = √(7-1)²+(6-2)² = √52 = 7.2
Answer:
C. I > 4 (or x > 4)
Step-by-step explanation:
first multiply 8 and (x - 5)
8(x– 5) – 3x > -20 -----> (8 * x) - (8 * 5) = 8x - 40 - 3x > -20
add like terms
8x - 40 - 3x > -20 -----> 8x + -3x = 5x - 40 > -20
combine -40 and - 20
5x - 40 > -20 ----> -20 + 40 = 5x > 20
Then finally divide
5x > 20 -----> (5x/5) > (20/5) = x > 4
Answer:
a. negative
b. negative
c. positive
Step-by-step explanation:
a. When a negative and positive integer are being multiplied the product will always be negative. For example, -3*2=-6.
b. Before answering this question it is helpful to realize that it is the exact same as part a. This is because the commutative property states that order does not matter in multiplication. So the answer is also negative, 2*-3=-6.
c. If two negative integers are multiplied then the product will be positive. Whenever two integers of the same sign are multiplied the product is positive. The opposite is true when they have different signs; the product will always be negative. An example of two negative integers would be -3*-2=6.
