Answer:
the height of bag b is 7
Step-by-step explanation:
first, find the volume of bag a.
volume formula:
length * width * height = volume
length = 4
width = 3.5
height = 6
substitute the values into the formula
4 * 3.5 * 6 = volume
84 = volume
the volume of bag A is 84
next, find the height of bag b
volume formula:
length * width * height.
length = 8
width = 3
volume = 168 (84 * 2)
8 * 3 * h = 168
24h = 168
24h/24 = 168/24
h = 168/24
h = 7
the height of bag B is 7
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Answer:
Step-by-step explanation:
<u>The volume of the prism:</u>
<u>If each of the dimensions is doubled, then the volume becomes:</u>
- V₁ = 2l*2w*2h = 8lwh = 8V
The larger prism has 8 times greater volume
Answer:
(5, 20)
Step-by-step explanation:
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.
