Answer:
Mason has
- 16 20¢ stamps;
- 25 3¢ stamps;
- 40 49¢ stamps.
Step-by-step explanation:
Let x be the number of 20¢ stamps, then the number of 3¢ stamps is x + 9.
Mason has 56 total 49¢ and 20¢ stamps, then the number of 49¢ stamps is 56 - x.
Amounts:
- in 49¢:
cents; - in 20¢:
cents; - in 3¢:
cents.
Total amount:

- $23.55.
Hence,

Mason has
- 16 20¢ stamps;
- 25 3¢ stamps;
- 40 49¢ stamps.
Answer:
133.33 meters per minute.
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Answer:


Science class had a higher average
Step-by-step explanation:
Given

g(x) table
Solving (a): f(2)
We have:

So:



Solving (b): g(2)
From the given table.

Solving (c): f(4) or g(4); which is greater

So:



For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1
This means that:

So




<em>Hence, g(4) i.e. Science class is greater</em>
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➷ When you add fractions, you have to have the same denominator whereas, when you multiply them, you don't have to. (In this case the denominators are already the same.) Also, multiplying the fractions would make the result smaller whereas adding them would make it larger.
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Answer:
The length of the diagonal support is 69 feet.
Step-by-step explanation:
Dimensions of the box: length = 6 feet
width = 5 feet
height = 8 feet
The diagonal support relates with the diagonal of the base and the height.
From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;
=
+ 
=
+ 
= 36 + 25
= 61
x = 
= 7.81
let the length of the diagonal support be represented by l. So that;
=
+ 
=
+ 
=
+ 64
l = 
= 61 + 8
= 69
Thus, the length of the diagonal support is 69 feet.