Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
Answer:
Step-by-step explanation:
This is a right triangle problem. The reference angle is x, the side opposite the reference angle is 32, and the hypotenuse is 58. The trig ratio that relates the side opposite a reference angle to the hypotenuse is the sin. Filling in accordingly:

Because you are looking for a missing angle, you will use your 2nd button and then the sin button to see on your display:

Within the parenthesis enter the 32/58 and you'll get your angle measure. Make sure your calculator is in degree mode, not radian mode!!!
Answer:
A
Step-by-step explanation:
Given
8 - 2x + 6x = 24 , that is
8 + 4x = 24 ( subtract 8 from both sides )
4x = 16 ( divide both sides by 4 )
x = 4 → A
Answer:
0.3kg
Step-by-step explanation:
Since the weight of 120 books is 36kg, the weight per book will be:
= 36kg / 120
= 0.3kg
Answer:
24 in
Step-by-step explanation:
The diameter of a circle is twice its radius which is 12 * 2 = 24.