Answer: The answer is 
Step-by-step explanation: Given that Lee and Maya are collecting leaves for an art project. Let'x' be the total number of leaves needed in the project.
Then, the number of leaves collected by Lee is given by

and the fraction of the leaves collected by Maya is given by

Therefore, the total number of leaves collected by Lee and Maya altogether is

Thus, the total fraction of the leaves collected by Lee and Maya is

Hello!
<h3><em><u>Answer</u></em></h3>
The area of the right triangle is 30
. The perimeter is 40 in.
<h3><em><u>Explanation</u></em></h3>
First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.
+ 

64 + 225 = 
√289 = 
17 = 
Now that we have all the side lengths, we can use the formulas to find the area and perimeter.
<h3>AREA:</h3>
A = 
A = (15 × 8) ÷ 2
A = 30
<h3>PERIMETER:</h3>
P = a + b + c
P = 8 + 15 + 17
P = 40
Answer:
(3, -6)
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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 4x - 18
y = -5x + 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: 4x - 18 = -5x + 9
- [Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
- [Addition Property of Equality] Add 18 on both sides: 9x = 27
- [Division Property of Equality] Divide 9 on both sides: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: y = 4(3) - 18
- Multiply: y = 12 - 18
- Subtract: y = -6
Since both values are positive, it is in quadrant 1
Answer:
a=11, b=53
Step-by-step explanation:
y=ax+b
x=1, y=64 -> 64=a+b
x=2, y=75 -> 75=2a+b
75-64=a, a=11, b=53
All the other points obey this rule.