4(7x−3)−6=6−4(3x−7)
Distributive property
28x - 12 - 6 = 6 - 12x + 28
28x - 18 = -12x + 34
28x + 12x = 34 + 18
40x = 52
x = 52/40
x = 13/10
or
x = 1 3/10 (mixed number: 1 and 3/10)
Answer:
Step-by-step explanation:
f(x)= -2/9x + 1/3 = -2/9(0) + 1/3 = 0 + 1/3= 1/3
Answer:
B. 18
Step-by-step explanation:
The 4 machines can produce x units in 6 days. This means they have a daily total rate of x/6 units per day.
Since the machines are similar and that they work at the same rate, this means that the individual rates of each machine would be x/6/4 = x/24 units per day.
Now we are looking at producing 3x units in 4 days. This means that we want to produce 3x/4 units in a single day. Now, since each machine would work at a rate of x/24, we need to know the number of machines we need. To know this number, we simply divide what is to be achieved by the individual rate:
This is 3x/4 divided by x/24. This mathematically means 3x/4 * 24/x = 18 machines
Answer:
12n -5 ≤ 55
Step-by-step explanation:
12 times a number (represented by n) is 12n.
"Decreased by 5" means 5 is subtracted from the product, giving 12n-5.
"Is no more than 55" means "is less than or equal to 55".
Then the expression written using math symbols is ...
12n -5 ≤ 55
60 mg is equal to .00006 kg
