Answer:
17.
Step-by-step explanation:
Statement: "ten more than the product of two and a number"
Translation: 10 + (2 * x)
x = 3.5
10 + (2 * 3.5)
= 10 + 7
= 17.
Hope this helps!
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.
Answer:
106.81
Step-by-step explanation:
first convert diameter to radius
- radius = diameter / 2
- radius = 34/2 = 17
now find circumference
- circumference = 2πr
- circumference = 2π(17) = 106.81
r = radius
Answer:

Step-by-step explanation:
the formula for density is:

where d is density, m is mass, and V is volume.
solving for m in the last equation:

so if we find the volume and multiply it by the density
we will get the mass of the object.
The volume of a rectangular prism is given by:

where
is length,
is width and
is height:

we substitute to find the volume:

since the density has units of
we need the volume also in units of
, so we make the conversion using:

multiplying by 30:

and now we find the mass with the equation:

substituting d and V:

the nearest gram is: 