Answer:
18 yards of material needed to make 24 shirts
Step-by-step explanation:
The unit rate is
1 shirt
------------------------------ = 1 1/3 shirts per yard of material = 4/3 shirt/yard
0.75 yards material
This rate could also be written as 3/4 yard per shirt
Multiply this latter rate by 24 shirts:
3 yard
-------------- * 24 shirts = 18 yards of material needed to make 24 shirts
4 shirt
Answer: The y- intercept is -2. The x-intercept is 2/3
The attachment shows the solutions.
Step-by-step explanation: The y-intercept is the "b" term in the slope-intercept form of the equation. To find the x-intercept, substitute 0 for the output and solve for x.
0 = 3x -2 . Add 2 to both sides
2 = 3x . Divide both sides by 3
2/3 = x the x-intercept is 2/3
To find f(-5) substitute -5 for x and solve.
f(-5) = 3(-5) -2
f(-5) = -15 -2
f(-5) = -17
Answer:
111 boxes
Step-by-step explanation:
He bought 223 feet of wood
Each box will take 2 feet
To determine the total number of box he'll make from 223,
1 box = 2 feet of wood
X box = 223 feet of wood
X = (223 × 1) / 2
X = 111.5 box approximately 112 boxes
But technically, since its 111.5, he'll be able to make 111 boxes completely with 0.5 feet of wood left
Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:

(a) when t = 44sec

s(44) ≅ 
(b) How fast the hammer is traveling i.e. the speed of the hammer.
To find speed, we differentiate the distance s(t) with respect to time, t

at t = 44sec,

≅ 
(c) The hammer's acceleration can be obtained by differentiating the speed v(t) with respect to time, t

There's no need to substitute t = 44sec because the acceleration is independent of time.