The two numbers are 8,13.
Step-by-step explanation:
Let,
smaller number = x
Larger number = x+5
According to given statement;
Smaller number + Bigger number = 3x-3
Smaller number = 8
Larger number = 8+5 = 13
The two numbers are 8,13.
Keywords: algebraic equation, addition
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We know that 1 yard equals 3 feet, therefore, we have:
65(3) + 2
= 195 + 2
= 197
therefore, 65 yards and 2 feet equals 197 feet
Write the set of points from -6 to 0 but excluding -4 and 0 as a union of intervals
First we take the interval -6 to 0. In that -4 and 0 are excluded.
So we split the interval -6 to 0.
Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.
Interval becomes [-6,-4) . It says -6 included but -4 excluded.
Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets
(-4,0)
Now we take union of both intervals
[-6,-4) U (-4,0) --- Interval from -6 to 0 but excluding -4 and 0
Since it includes 11% sales tax, this means that (purchase)+11% of (purchase)=25.00. Since 11% = 0.11 by multiplying it by 1/100, we have 1*purchase+0.11*purchase=1.11*purchase=25.00. Dividing both sides by 1.11, we get around 22.73 as the original purchase. This means that the difference between the purchase price and the total price is the sales tax, which is around 2.27 dollars.
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