let "a number" = x
a number is divided by 3 => x/3
14 is added to the quotient => (x/3) + 14
The result is 33 => " = 33"
Solve for x
(x/3) + 14 = 33
Isolate the x. Note the equal sign. What you do to one side you do the other.
Subtract 14 from both sides
(x/3) + 14 (-14) = 33 (-14)
x/3 = 19
Isolate the x. Multiply 3 to both sides
x/3(3) = 19(3)
x = 19(3)
x = 57
57 is your original number
hope this helps
I believe the equation would be 765 -8t = 421. Then you would solve for t and get 43 seconds. I hope this helps!! :)
A reflection over the y-axis means that "x" will change signs.
A dilation causes the graph to stretch (if the factor is greater than 1) or shrink/compress (if the factor is between 0 and 1). Usually, the instructions will say whether it is a vertical or horizontal stretch (or shrink) so you know which variable is affected. Since it was not specified, I am going to assume that this is both a vertical and a horizontal shrink.
Answer: y = 
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Answer:
Tony can buy three games with his savings over two months and Alice can buy six concert tickets.
Step-by-step explanation:
Over two months, Tony has watched a total of 53.6 hours of television (35.4 + 18.2). If he save $2.50 for each hour, we can multiply his total hours by the amount per hour, or 53.6 x 2.50 = $134.00. Since each game that Tony wants to buy costs $35.75, we need to divide his total savings by the cost of each game, or 134/35.75 = 3.75. Since Tony can't buy a portion of the game, the most amount of games he can buy is 3. Alice watched a total of 48.4 hours of television (21.8 + 26.6). If she also saves $2.50 per hour, then her total savings is 2.50 x 48.4 = $121.00. Since her concert tickets are $17.50 a piece, we divide her total savings: 121/17.50 = 6.9. Alice can also not buy a partial ticket, so the total amount she can buy is 6.
777 divided by 21 = 34 with a remainder of 3
