Answer:
He will sell 70 bags of popcorn and 105 bottles
Step-by-step explanation:
In 1 day he sells 14 bags of popcorn and 21 bottles
Multiply 14 by 5 which is 70
then multiply the bottles which is 21 by 5 days
105
He will sell 70 bags of popcorn and 105 bottles
Answer:
Case 1:


Case 2:


Case 3: Not possible
Step-by-step explanation:
Given
See attachment for illustration of each case
Required
Find AB and BC
Case 1:
Using Pythagoras theorem in ANB, we have:

This gives:



Take square roots of both sides


To calculate BC, we consider ANC, where:



Collect like terms


Take square roots


So:



Case 2:
Using Pythagoras theorem in ANB, we have:

This gives:


Collect like terms


Take square roots of both sides


To calculate BC, we consider ABC, where:



Collect like terms


Take square roots


Case 3:
This is not possible because in ANC
The hypotenuse AN (24) is less than AC (40)
Answer:
x = 14
Step-by-step explanation:

Answer:
The ratio of smaller rectangle to larger is 1 : 8.
Step-by-step explanation:
Given that:
Area of smaller rectangle = 25 square feet
Area of larger rectangle = 200 square feet
Ratio of areas of these similar rectangles;
Smaller rectangle : Larger rectangle
25 : 200
1 : 8
Hence,
The ratio of smaller rectangle to larger is 1 : 8.
Answer:
y =
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 22, - 14) and (x₂, y₂ ) = (- 18, - 12)
m =
=
= 
y =
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (- 22, - 14), then
- 14 = - 11 + c ⇒ c = - 14 + 11 = - 3
y =
x - 3 ← in slope- intercept form