Which of the following is the simplified version of 3 (x + 5) - 6x = 23?
A. -3x + 5 = 23
B. -3x + 15 = 23
C. -15x + 15 = 23
D. -9x + 15 = 23
To simplify the equation 3(x + 5) - 6x = 23, we can start by distributing the 3 to the terms inside the parentheses: 3x + 15. The equation then becomes 3x + 15 - 6x = 23. Combine like terms by subtracting 6x from 3x: -3x + 15 = 23. Therefore, the simplified version is A. -3x + 5 = 23.
Timothy runs a catering service for large parties. He needs 37 heads of lettuce for salad to feed 100 guests. Which of the following ratios illustrates how many heads of lettuce, x, he would need to feed 275 guests?
A. 37/100 = x/275
B. x/100 = 37/275
C. 100/275 = x/37
D. 100/37 = x/275
To find the ratio that illustrates how many heads of lettuce Timothy would need to feed 275 guests, we can set up a proportion by comparing the number of guests to the number of heads of lettuce: 100/37 = 275/x. Therefore, the ratio that represents the situation is D. 100/37 = x/275.
Christian got a haircut yesterday afternoon. If the hair stylist charged $18 and Christian gave a 20% tip, how much did he pay for the haircut?
A.
$3.60
B.
$14.40
C.
$21.60
D.
$22.60