Complete Question
Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.
Answer:
1/2m + 45
Step-by-step explanation:
We are told in the question that:
On the drive home, she buys $45 worth of gasoline.
Her friend Melody pays for one-half the cost of the car rental only.
Sophie pays m dollars to rent a car for the weekend.
The amount sophie pays for car rental = m - 1/2m
= 1/2m
Therefore, the expression used to determine how much sophie spent is written as:
1/2 × $m + $45
1/2m + 45
Step one:
ALWAYS set equation equal to zero, which in this case has already been done for us.
Step two:
Figure out what formula you need to use in order to solve in this case I'd use the Quadratic formula.
a=1
b=9
c=2
Quadratic formula:

Then you would plug in the information.

The solve for what is underneath the square root ONLY.

Since you cannot solve this any further, your final two answers are...

Answer:143
Step-by-step explanation:5 goes into 715 143 times
Given that ABC is a right triangle.
The length of AC = 10 and AB = 17
We need to determine the m∠B
<u>The measure of ∠B:</u>
The side opposite to ∠B is AC and the hypotenuse of the triangle is AB
The m∠B can be determined using the trigonometric identity,

where
and 
Substituting, we get;

Substituting the values, we get;


Taking
on both sides of the equation, we have;


Rounding off to the nearest tenth, we get;

Hence, the measure of ∠B is 36.0°
Solve the system by graphing
{y = 7 - x the slope is -1 and the y intercept is 7
{x + 3y = 11 3y = -x+11 y = 1/3 x + 11/3 the slope is 1/3 and the y intercept is 11/3
The solution is x=5, y=2 you will need to graph
Classify the system without graphing
{2x + y = 3 y = -2x+3
{y = -2x - 1
These lines are parallel same slope different y intercept
C) Inconsistent System
Classify the system without graphing
{x + 3y = 9
{-2x - 6y = -18 divide by -2
x+3y = 9
same line
A) Dependent System