The only true inequality is <u>-3 1/2 > -4.5</u>
Answer:
Shirt: $45 , Tie: $12
Step-by-step explanation:
Let s be the price of the shirt
Let t be the price of the tie
Given the information from the question,
s + t = 57 - Equation 1
s - t = 33 - Equation 2
We will use substitution method to find the prices.
We will rearranging equation 1.
s = 57 - t
We will substitute s into equation 2.
57 - t - t = 33
57 - 2t = 33
-2t = 33 - 57
-2t = -24
t = -24 / -2
= 12
We now substitute t into Equation 1.
s + 12 = 57
s = 57 - 12
= 45
From here we know, the shirt costs $45 and the tie costs $12
YES!!! 2.78778777 is an irrational number because it has endless numbers, and a irrational number cant be put as a fraction but rational numbers can be put as a fractio!!
Answer:
inches or approximately 5.97 inches
Step-by-step explanation:
Use the cone volume formula: V = 
r²
The diameter is 8 inches, so the radius will be 4 inches.
Plug in the radius and volume, and solve for h
V = r²
100 = (4²)()
100 = 16
Divide each side by 16
=
Cross multiply and solve for h:
4h = 75
h =
So, the cone's height is or approximately 5.97 inches
Answer:
2.5 inches per year
Step-by-step explanation:
We can deduce the rate of change by obtaining the slope or gradient of thw points given :
Gradient = Rise / Run.
Point A (2, 5) ; point B (4, 10)
x1 = 2 ; y1 = 5 ;x2 = 4 ; y2 = 10
Rise = y2 - y1 = 10 - 5 = 5
Run = x2 - x1 = 4 - 2 = 2
Rate of change = Gradient = 5 /2 = 2.5
Which is 2.5 inches per year
