Answer:
4 hours
Step-by-step explanation:
For this, we can set up an equation
We can name the total number of hours x.
So the price for Shawns rentals would be as follows:
27.50x
and Darlas surf shop would be:
23.25x+17
Now, we put these into an equation.
We are trying to find for what number of x will the charges be equal, so we can make this equation:
27.50x=23.25x+17
Now we get the variables on one side, and the numerical values on the other.
We can do this by subtracting 23.25x from both sides. (What you do to one side you must do to the other to keep the equation equal.)
4.25x=17
Divide both sides by 4.25.
x=4
You would rent the equipment for 4 hours to make the charges equal.
Answer:TO THE 76N POWER
Step-by-step explanation:
Answer:
sin A = 15/17
sec A = 17/8
Step-by-step explanation:
15 cot A = 8
First get cot A alone.
cot A = 8 / 15
Since cot is the reciprocal of tan then flip 15 and 8.
tan A = 15 / 8
Now you have the opposite and adjacent sides, just find the hypotenuse with Pythagorean's theorem
15^2 + 8^2 = 289
= 17
Now that you have all the sides use the opposite and hypotenuse to get sine and the adjacent and hypotenuse to get cosine then flip to get secant.
sin A = 15/17
cos A = 8/17
sec A = 17/8
Answer: 59.92
Step-by-step explanation:
90 + 50 = 140
140 - 40% = 56
56 + 7% = 59.92
Answer:
x = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3(x - 2) = 2(x + 1)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 3x - 6 = 2x + 2
- Subtract 2x on both sides: x - 6 = 2
- Add 6 to both sides: x = 8
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(8 - 2) = 2(8 + 1)
- Subtract/Add: 3(6) = 2(9)
- Multiply: 18 = 18
Here we see that 18 does indeed equal 18.
∴ x = 8 is a solution to the equation.
