Step-by-step explanation:
I. x - y = 4 --> y = x - 4
II. x + y = 4 --> y = 4 - x
Solution is x = 4 and y = 0
Answer:
Length: 12 cm
Width: 8 cm
Height; 7 cm
Step-by-step explanation:
We are told that the areas of 2 of the faces are 84cm² and 56cm².
Now, the side faces are 4 in total with 2 each having same areas.
Thus, it means they would have the same height.
Let's find the highest common factor between 84cm² and 56cm².
The highest number that can be divide each equally is 7.
Thus;
12 × 7 = 84 cm²
8 × 7 = 56 cm²
This means, the bottom part will measure 12 cm by 8 cm.
Thus, the complete measurement is;
Length: 12 cm
Width: 8 cm
Height; 7 cm
Let's check if it will give us a Volume equal to that given.
Thus;
Volume = 12 × 8 × 7 = 672 cm²
This is same as that given and so our dimensions are correct.
Answer:
yes
Step-by-step explanation:
We can estimate* that the total price including tax of the game will be less than ...
$43.31 +10% of 43.31 = $43.31 +4.33 = $47.61
Todd easily has enough to pay for the game, including tax.
_____
You can work this more exactly a couple of ways.
1. Price + tax = 1.085×$43.31 = $46.99 . . . less than Todd's budget
2. Most Todd can afford: $55.50/1.085 = $51.15 . . . more than the game price
_____
* For estimating purposes, we like to use numbers that are easy to compute with. 10% is one such number, as it only requires moving the decimal point.
Random numbers for a simulation might come from
1) a table of random numbers
2) a computer random number generator, such as ones available in many spreadsheet programs
3) digitizing the noise of the Universe. Such random numbers are available on some web sites.
