Answer:
Time spent rowing down stream 
Speed of boat in still water 
Step-by-step explanation:
Let speed of boat in still water be 
Speed of current 
Speed of boat down stream = 
Distance rowed down stream = 2400 m
Time spent rowing down stream =
= 
Speed of boat up stream = 
Distance rowed up stream = 
Time spent rowing up stream = 
We know that,
So,

Cross multiplying

Dividing both sides by 



Adding 60 to both sides.


Subtracting both sides by 


Dividing both sides by 5.

∴ 
Speed of boat in still water 
Time spent rowing down stream =
Let's use the furthest left point on the triangle to figure out the translation.
Blue triangle = (-5,1)
Black triangle = (-3,-1)
To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.
To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.
Rule: {2, -2}
Hope this helps!
Answer:
576 cm²
Step-by-step explanation:
Given:
Number of sections in a suncatcher (n) = 6
Each section is in the shape of a parallelogram.
Base of parallelogram = 12 cm
Height of parallelogram = 8 cm
Now, area of a parallelogram is given as:
Area of parallelogram = Base × Height
Area of 1 parallelogram = 12 cm × 8 cm = 96 cm²
Now, there are 6 parallelogram shaped sections.
So, area of the sections = area of 1 section × total number of sections
∴ Area of 6 sections = 96 cm² × 6 = 576 cm²
Therefore, the total area of the sections of a suncatcher is 576 cm².
Answer:
Let P represent the number of pies sold and J represent the number of juices sold.
a)
The first equation for the sum of the sales:
P + J = 79
P = 79 - J
Next, for the sum of the amounts earned:
1.65P + 1.36J = 118.17
Substituting P,
1.65 (79 - J) + 1.36J = 118.17
J = 42
Using this value of J,
P = 79 - 42
P = 37
b)
Mr. Sanchez's class earned: 1.65 x 37 = $61.05
Mr. Kelly's class earned: 1.36 x 42 = $57.12
So Mr. Sanchez's class earned more money.
c) Mr. Sanchez's class earned:
61.05 - 57.12
= $3.93 more than Mr. Kelly's class
Step-by-step explanation:
:)