Answer:
a. 2:3, b. 25 students, c. 3:2
Step-by-step explanation:
a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.
b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.
c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.
Answer: 2cm
Step-by-step explanation:
Answer:
1 and - 1
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope ( gradient ) )
y = x ← is in this form
with gradient m = 1
Parallel lines have equal gradients
Then the gradients of lines parallel to the given line is 1
Given a line with gradient m then the gradient of a line perpendicular to it is
= - = - = - 1
Then the gradients of lines perpendicular to this line is - 1
Step-by-step explanation:
We need to find each of the following as a rational number in the form of p/q
(a) (3/7)² (b) (7/9)³ (c) (-2/3)⁴
Solution,
(a) (3/7)²
(b) (7/9)³
(c) (-2/3)⁴
Hence, this is the required solution.