Step-by-step explanation:
each child gets a certain amount of items costing the specified price by item.
so, we need to multiply the number of children with the number of items with the price per item to get the total cost.
500×3×3.5 for pencils = 5,250
500×5×7.5 for notebooks = 18,750
500×1×21.75 for crayons = 10,875
500×2×9.26 for pad paper = 9,260
total 44,135
since we have only 1,200 available in the existing fund, we need a new one to cover the remaining
44,135 - 1,200 = 42,935
Answer:
. .....
Step-by-step explanation:
Answer:
48
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-(5y - 6) + 4(3 + 5y)
y = 2
<u>Step 2: Simplify</u>
- Distribute: -5y + 6 + 12 + 20y
- Combine like terms (y): 15y + 6 + 12
- Combine like terms (Z): 15y + 18
<u>Step 3: Evaluate</u>
- Substitute in <em>y</em>: 15(2) + 18
- Multiply: 30 + 18
- Add: 48
Answer:
Step-by-step explanation:
When an eagle gains the height, elevation of the eagle will be positive and when it goes down elevations will be negative.
Initial height of the eagle = 42 ft
Achieves the elevation = 144 ft
Goes down to 162 ft so the elevation will be = -162 ft
Gains the height again therefore, elevation of the eagle = 25 ft
Goes down to 65 feet so the elevation = -65 ft
Therefore, expression representing the eagle's flight will be,
(42 + 144 - 162 + 25 - 65)
Elevation at the brook = (42 + 144 - 162 + 25 - 65)
= 20 ft
Answer:
first group x's with x's and y's with y's
then complete the squra with x's and y's
2x^2-8x+2y^2+10y+2=0
2(x^2-4x)+2(y^2+5y)+2=0
take 1/2 of linear coeficient and square
-4/2=-2, (-2)^2=4
5/2=2.5, 2.5^2=6.25
add that and negative inside
2(x^2-4x+4-4)+2(y^2+5y+6.25-6.25)+2=0
factor perfect squares
2((x-2)^2-4)+2((y+2.5)^2-6.25)+2=0
distribute
2(x-2)^2-8+2(y+2.5)^2-12.5+2=0
2(x-2)^2+2(y+2.5)^2-18.5=0
add 18.5 both sides
2(x-2)^2+2(y+2.5)^2=18.5
divide both sides by 2
(x-2)^2+(y+2.5)^2=9.25
that is a circle center (2,-2.5) with radius √9.25
