Answer:
all work is shown and pictured
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Answer:
You can tell if this is proportional even without graphing it. The x values on Table F jump inconsistently while y values stay consistent. Table G, however, both values stay consistent. table G is proportinal.
Step-by-step explanation:
with help from reseach,
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Let <em>x</em> and <em>y</em> be the two numbers.
Their sum is 140, so
<em>x</em> + <em>y</em> = 140
Twice the first number <em>x</em> is 2<em>x</em>. 5 more than this is 2<em>x</em> + 5. This is the value of the second number, so
<em>y</em> = 2<em>x</em> + 5
Substitute this into the first equation and solve for <em>x</em> :
<em>x</em> + (2<em>x</em> + 5) = 140
3<em>x</em> + 5 = 140
3<em>x</em> = 135
<em>x</em> = 135/3 = 45
Then
<em>y</em> = 2*45 + 5 = 95
Given 7 spaces, each space can consist of a letter (26 letters in the alphabet), a number (numbers 0 to 9: for a total of 10 numbers), and a space (1).
Adding the amount of letters, numbers, and a space equals:
26 + 10 + 1 = 37 possible characters for each space on the license plate.
Since repeat characters are allowed, each space can have 37 possible characters.
The plate has 7 spaces so:
37 x 37 x 37 x 37 x 37 x 37 x 37
= 37^7 different combinations.