Answer:
0.01
Steps:
The definition of "reciprocal" is simple. To find the reciprocal of any number, just calculate "1 ÷ (that number)." For a fraction, the reciprocal is just a different fraction, with the numbers "flipped" upside down (inverted). For instance, the reciprocal of 3/4 is 4/3
Answer:
an = 10 – 4(n – 1)
Step-by-step explaination
answer is an = 10 – 4(n – 1)
Answer:
Volume of rectangular prism = 175 / 6 inch³
Step-by-step explanation:
Given:
Base area of rectangular prism = 23 ¹/₃ inch² = 70 / 3 inch²
Height of rectangular prism = 1 ¹/₄ inch = 5 / 4 inch
Find:
Volume of rectangular prism
Computation:
Volume of rectangular prism = Base area of rectangular prism x Height of rectangular prism
Volume of rectangular prism = [70 / 3] x [5 / 4]
Volume of rectangular prism = [350 / 12]
Volume of rectangular prism = 175 / 6 inch³
Answer: either 5, 5, 14
First, we know the median is 5. Thus, the middle value of the data is 5, so the set can now be read x, 5, y. Then, because the mode is 5 and the set is not trimodal, either x or y must be 5. Thus, the set could either be 5, 5, 14, or
-4, 5, 5. However, because it must contain only positive number, the answer is 5, 5, 14
Hope it helps <3
Answer:
A two-digit number can be written as:
a*10 + b*1
Where a and b are single-digit numbers, and a ≠ 0.
We know that:
"The sum of a two-digit number and the number obtained by interchanging the digits is 132."
then:
a*10 + b*1 + (b*10 + a*1) = 132
And we also know that the digits differ by 2.
then:
a = b + 2
or
a = b - 2
So let's solve this:
We start with the equation:
a*10 + b*1 + (b*10 + a*1) = 132
(a*10 + a) + (b*10 + b) = 132
a*11 + b*11 = 132
(a + b)*11 = 132
(a + b) = 132/11 = 12
Then:
a + b = 12
And remember that:
a = b + 2
or
a = b - 2
Then if we select the first one, we get:
a + b = 12
(b + 2) + b = 12
2*b + 2 = 12
2*b = 12 -2 = 10
b = 10/2 = 5
b = 5
then a = b + 2= 5 + 2 = 7
The number is 75.
And if we selected:
a = b - 2, we would get the number 57.
Both are valid solutions because we are changing the order of the digits, so is the same:
75 + 57
than
57 + 75.
