Answer:
The Answer is: There are 8 small boxes and 9 large boxes. See explanation below for variables and variable definitions.
Step-by-step explanation:
Let s = small boxes. Let b = large boxes.
s + b = 17
You can solve for s:
s = 17 - b
You can solve for b:
b = 17 - s
10 times the number of small boxes plus 24 times the number of large boxes is equal to 296 granola bars.
10s + 24b = 296
Substitute:
10(17 - b) + 24b = 296
170 - 10b + 24b = 296
14b = 296 - 170
14b = 126
b = 126 / 14 = 9 large boxes
Find the number of small boxes, s:
s = 17 - b = 17 - 9 = 8 small boxes
There are 8 small boxes and 9 large boxes.
Proof:
10(8) + 24(9) = 296
80 + 216 = 296
296 = 296
Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m =
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m =
=
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
Draw a diagram to illustrate the problem as shown below.
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations
Answer:
b
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
each notebook is $1.05 and the is $7.50
there is only enough for seven notebooks not eight.