<h3>20 subtracted from three times a number is 6 more than the number. Then the number is 13</h3>
<em><u>Solution:</u></em>
<em><u>Given statement is:</u></em>
20 subtracted from three times a number is 6 more than the number
We can translate the sentence into algebraic expression
Let "a" be the unknown number
Then,
20 subtracted from three times "a" is 6 more than "a"
Which means,
3a - 20 = 6 + a
3a - a = 6 + 20
2a = 26
Divide both sides by 2
a = 13
Thus the number is 13
Answer:
Step-by-step explanation:
Let the number be x, therefore, its square is x², and 44 more than the number is x+44 whose square is (x+4)².
Thus the sum will be x² + (x+44)²² = 8080
x² + x² + 88x + 1936= 8080 Combining the right terms
2x² + 8x - 6144 = 0 dividing by 2
x² + 44x - 3072 =0 solving for x
x = 37.6 or -81.6
Therefore, the positive number is 37.6
Answer: 242 = 190 + 4t
Step-by-step explanation:
You know that the maximum capacity of the restaurant is 242 people, meaning that at most there can only be that many customers seated at that time. Normally, the equation would be 242 = 10b + 4t, but since you already know the number of booths, your work is cut in half, giving you 242 = 10(19) + 4t. The equation would be this because you have the capacity being equal to the number of tables x the number of people at each table and the number of booths x the number of people seated at each of them.
