Yes, it is a linear equation.
Answer:
x = 26
y = 9
Step-by-step explanation:
(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)
Solve for x
5x - 17 + 3x - 11 = 180
Collect like terms
5x + 3x - 17 - 11 = 180
8x - 28 = 180
Add 28 to both sides
8x = 180 + 28
8x = 208
Divide both sides by 8
x = 208/8
x = 26
Also:
(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)
Plug in the value of x and solve for y
2y + 5 + 90 + 3(26) - 11 = 180
2y + 5 + 90 + 78 - 11 = 180
Collect like terms
2y + 162 = 180
Subtract 162 from both sides
2y = 180 - 162
2y = 18
y = 9 (dividing both sides by 2)
Answer:
4% of all adults go to a health club at least twice a week
Step-by-step explanation:
the proportion of adults who belong to health clubs is 10% that is 0.10
the proportion of these adults (health club members) who go to the club at least twice a week is 40%, which is 0.40.
Thus, the proportion of all adults who go to a health club at least twice a week is
0.10 × 0.40 = 0.04, that is 4%
Answer:
The ant travels 1,372 inches in 7 minutes.
Step-by-step explanation:
Since 1 minute = 196 inches
1 × 7 = 7
196 × 7 = 1,372