Answer:
y = 25x
Step-by-step explanation:
This is a straight line, so the formula is:
y = ax + b
a is the slope and b is the y-intercept.
Slope formula:
a = (y2 - y1)/(x2 - x1)
Select two random points from the line:
- Point 1: x=2 and y=50
- Point 2: x=4 and y=100
Slope a = (100 - 50)/(4 - 2) = 50/2 = 25
=> y = 25x + b
Use one of the points to find b:
50 = 25*2 + b
=> b= 0
So the equation is y=25x
Answer:
5995 hugs
Step-by-step explanation:
This is a combination problem: we want to make groups of two monkeys, where a pair of monkey 1 and 2 is the same pair of monkey 2 and 1 (it is the same hug). So, if the total number of monkeys at the zoo is 110, we have a combination of 110 choose 2:
C(110,2) = 110! / (2! * (110-2)!) = 110 * 109 / 2 = 5995
So the total number of hugs is 5995
Answer:
2.25
Step-by-step explanation:
9 divided by 4 is 2.25 hope this helped!
Answer:
[ 4, ∞ )
Step-by-step explanation:
Given
8(x - 5) - 3x ≥ - 20 ← distribute and simplify left side
8x - 40 - 3x ≥ - 20
5x - 40 ≥ - 20 ( add 40 to both sides )
5x ≥ 20 ( divide both sides by 5 )
x ≥ 4
Solution set is [ 4, ∞ )
Representing 3 and one tenth as decimal by 3.1
<u>Step-by-step explanation:</u>
Here 3 is the whole number.
1 tenth is nothing but 
.
= 0.1
When we write numerals with tenths using the decimals we can use a decimal point also the tenths positioned to the right of the decimal point. The tenth place is denoted as immediately right to the decimal point.
So it is represented as 3.1.
