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.
<span>Standard deviation shows the distribution present in a set. Range can be used to approximate this property.
Therefore, Set b (100, 140, 150, 160, 200 10, 50, 60, 70, 110) has the largest standard deviation because it has a range of 190 (i.e. 200 - 10)</span>
Answer:
r = 29.82
Step-by-step explanation:
We have the equation r/7.1 = 4.2 and are asked to solve for r.
To solve, we need to isolate r, do as followed and multiply 7.1 from both sides:
r/7.1 = 4.2
r = 29.82
Answer:
290 inches
Step-by-step explanation:
Answer:
She needs to pay $20 more.
Step-by-step explanation:
Mothers payment: $360 divided by 2 = $190 left for Brenda
Brenda + discount payments: $190 - $140 = $50
$50 - $30 discount = $20