Answer:
x = 
Step-by-step explanation:
First, you have to leave 2x by itself on the left side of the equation:
2x = 60/8
Then divide,
x = 15/4
Simplified fraction: x = 
Answer:
31
Step-by-step explanation:
4 squared is 16, and 5 times 3 is fifteen if you add them you get 31
To solve this problem, let us first assign some
variables. Let us say that:
x = pigs
y = chickens
z = ducks
From the problem statement, we can formulate the
following equations:
1. y + z = 30 --->
only chicken and ducks have feathers
2. 4 x + 2 y + 2 z = 120 --->
pig has 4 feet, while chicken and duck has 2 each
3. 2 x + 2 y + 2 z = 90 --->
each animal has 2 eyes only
Rewriting equation 1 in terms of y:
y = 30 – z
Plugging this in equation 2:
4 x + 2 (30 – z) + 2 z = 120
4 x + 60 – 2z + 2z = 120
4 x = 120 – 60
4 x = 60
x = 15
From the given choices, only one choice has 15 pigs. Therefore
the answers are:
She has 15 pigs, 12 chickens, and 18 ducks.
9514 1404 393
Answer:
d) -4 ≤ x ≤ 1.5
Step-by-step explanation:
The domain is the horizontal extent of the graph. Here, it goes from about x=-4 to about x = 1.5.
There are solid dots on both ends of the line segment, so the inequality will use ≤ for both limits. The domain is ...
-4 ≤ x ≤ 1.5