Answer:

Step-by-step explanation:
The formula that is used to calculate the area of a rectangle is:

Where "l" is the lenght and "w" is the width.
You know that the area of that rectangle is:

And, according to the exercise, its lenght is 7 more than its width; then:

Then, you can make the corresponding substitution into the formula
:

Simplify:

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.
Then, you get:

The width of the rectangle is the positive value:

Then, the lenght is:

Answer:
12 shirts
Step-by-step explanation:
If a T-Shirt Launcher can launch 6 shirts in 30 minutes, that means it can launch 12 shirts in an hour, because there are 60 minutes in a hour, and 30 minutes is half os 60 minutes, so we just do 6 x 2 = 12.
Answer:
The standard issue license plates that can be produced if there are no restrictions on the letters and numbers = 175760000
Step-by-step explanation:
If there are no restrictions, all numbers and letters are available to be used then. And with no restrictions, every number or letter can appear more than once.
There are 7 spaces available; 3 spaces for letters, 4 spaces for numbers
The different combination of letters and numbers then becomes,
26 × 26 × 26 × 10 × 10 × 10 × 10
This is because, all 26 letters (A to Z) can occupy the first space, the second space and the third space. And all 10 digits (0 to 9) can occupy the fourth space, the fifth space, the sixth space and the seventh space.
So, the standard issue license plates that can be produced if there are no restrictions on the letters and numbers = 26 × 26 × 26 × 10 × 10 × 10 × 10 = 175760000 different standard issue license plates.
9514 1404 393
Answer:
- left 1 unit
- down 2 units
Step-by-step explanation:
The transformation g(x) = f(x -h) +k is a translation of f(x) to the right by h units and up k units.
1. h = -1, so the graph of g(x) is the graph of f(x) shifted left 1 unit. (blue)
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2. k = -2, so the graph of g(x) is the graph of f(x) shifted down 2 units. (green)
3/8 of a fraction is the amount of water that was split