Answer:
96 cubes vol.
Step-by-step explanation:
the volume of Belinda's prism =
2×3×2 = 12 cubes vol.
Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism.
the volume of April's prism =
(2×2)×(2×3)×(2×2)= 4×6×4= 96 cubes vol.
so,
the volume of April's prism = (2)³ times the volume of Belinda's prism
Answer:
Number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600
Explanation:
Lowest four digit positive integer = 1000
Highest four digit positive integer less than 4000 = 3999
We know that multiples of 5 end with 0 or 5 in their last digit.
So, lowest four digit positive integer which is a multiple of 5 = 1000
Highest four digit positive integer less than 4000 which is a multiple of 5 = 3995.
So, the numbers goes like,
1000, 1005, 1010 .....................................................3990, 3995
These numbers are in arithmetic progression, so we have first term = 1000 and common difference = 5 and nth term(An) = 3995, we need to find n.
An = a + (n-1)d
3995 = 1000 + (n-1)x 5
(n-1) x 5 = 2995
(n-1) = 599
n = 600
So, number of positive four-digit integers which are multiples of 5 and less than 4,000 = 600
Answer:
The experimental probability can be expressed in three ways:
Fraction Form: 3/6 or 1/2
Decimal Form: 0.5
Percent Form: 50%
Step-by-step explanation:
Experimental probability is expressed as:
<em>(Favorable outcomes) / (Total outcomes)</em>
The favorable outcome in this situation is blubbery muffins. There were 3 blueberry muffins sold, so this is the <u>numerator</u> of our fraction.
To find the total outcomes we add 3 + 3, which equals 6. This will be the <u>denominator</u> of our fraction.
The fraction used to express experimental probability will look like this: 3/6
We can further simplify this to 1/2.
3 ÷ 3 = 1
6 ÷ 3 = 2
To find a decimal, we divide 1 ÷ 2 = 0.5
Multiply this by 100 to get a percentage, 0.5 x 100 = 50%
The area of the rectangle is 84 inches :)