Answer:
25X + 25Y = 1700
25X + 100Y = 3200
Step-by-step explanation:
Given that the principal of a high school spent $1700 for X desk and Y chairs at $25 each. Then, the equation will be
25X + 25Y = 1700 ....... (1)
If he had bought half the number of desk in twice the number of chairs he would have spent 1600. That is
25(X/2) + 25(2Y) = 1600
25X/2 + 50Y = 1600
Find the LCM and cross multiply
25X + 100Y = 3200 ........(2)
At x=2, y=4
At x=4, y=16
So the total change in y from x=2 to x=4 is 16-4=12
And since average rate of change = total change in y divided by total change in x within the same period, therefore the answer is 12/2 = 6
Hope that helps. Let me know if you have any questions.
Answer:
8.55
Step-by-step explanation:
Answer:
or 
Step-by-step explanation:
Given

Required
Solve for x using:

First, we need to identify a, b and c
The general form of a quadratic equation is:

So, by comparison with 

Substitute these values of a, b and c in




Split the expression to two
or 
To solve further in decimal form, we have
or 
or 
or 
Answer:
p = 7/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
-4p + 9 = -5
<u>Step 2: Solve for </u><em><u>p</u></em>
- Subtract 9 on both sides: -4p = -14
- Divide -4 on both sides: p = 7/2
<u>Step 3: Check</u>
<em>Plug in p into the original equation to verify it's a solution.</em>
- Substitute in <em>p</em>: -4(7/2) + 9 = -5
- Multiply: -14 + 9 = -5
- Add: -5 = -5
Here we see that -5 does indeed equal -5.
∴ p = 7/2 is the solution to the equation.