Answer with step-by-step explanation:
A: 207
We know that percentage is out of 100, so we can divide 460 by 100 to find 1%, which is 4.6. We also know 45% percent of teenagers like comedies, so we multiply 4.6 by 45, or 207. 207 teenagers like comedies.
B. 80 teenagers
We know that 50% of teens Hannah surveyed like thrillers. We also know that 40 teenagers like thrillers. Using multiplication, we can multiply 40 by 2, since 50% is half, we need to multiply by 2 to get the total number of teenagers. Hannah surveyed 80 teenagers.
C. Jamie went to the candy store and spent his entire allowance of $20 on candy. His friends gave him $5 more dollars, so he bought candy with that too. He spent 125% of his allowance on candy.
Answer:
Proofs begin with one or more given statements, which are provided. ... In a two column proof, the statements are written in one column, and the reasons are written next to them in a second column. A flow proof uses a diagram of to show each statement leading to the conclusion
Step-by-step explanation:
Answer:
The directional bearing of the boat is N 30º E
Step-by-step explanation:
Let 
, where 
is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (
), measured in sexagesimal degrees, is determined by trigonometrical means:
(1)
If we know that 
and 
, then the directional bearing of the boat is:
In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).
<span>Simplifying
7 + -2(2 + 3x) = 27
7 + (2 * -2 + 3x * -2) = 27
7 + (-4 + -6x) = 27
Combine like terms: 7 + -4 = 3
3 + -6x = 27
Solving
3 + -6x = 27
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -6x = 27 + -3
Combine like terms: 3 + -3 = 0
0 + -6x = 27 + -3
-6x = 27 + -3
Combine like terms: 27 + -3 = 24
-6x = 24
Divide each side by '-6'.
x = -4
Simplifying
x = -4</span>
