Answer: 15 cm to the highest total ; amount of triangles: 25
Step-by-step explanation: for the height just add 3 cm until you reach the top, which will give you 15 cm
for the amount just count them and for the top top layer count up to 9, which will give you 25 triangles.
Divide 237.50 by 25. The answer is $9.50 per hour
Answer:
x = -30
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>
0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 0.2: 0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2
- Combine like terms: -0.1x + 2 = 0.2x + 11
- Add 0.1x on both sides: 2 = 0.3x + 11
- Isolate <em>x </em>term: -9 = 0.3x
- Isolate <em>x</em>: -30 = x
- Rewrite: x = -30
<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>: 0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2
- Multiply: 0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2
- Add/Subtract: 0.2(-110) + 27 = 0.2(-36) + 12.2
- Multiply: -22 + 27 = -7.2 + 12.2
- Add: 5 = 5
Here we see that 5 does indeed equal 5.
∴ x = -30 is the solution to the equation.
Answer:
![Length=27feet\\Width=23feet](https://tex.z-dn.net/?f=Length%3D27feet%5C%5CWidth%3D23feet)
Area=![621feet^2](https://tex.z-dn.net/?f=621feet%5E2)
Step-by-step explanation:
Perimeter of the rectangle= 100 feet
Let, the width of the rectangle be 'w'
Length=w+4
Perimeter=2(Length+width)
![100= 2(w+4+w)\\\\100=2(2w+4)\\\\100/2=2w+4\\\\50=2w+4\\\\2w+50-4\\\\2w=46\\\\w=23 feet\\\\Width=23 feet](https://tex.z-dn.net/?f=100%3D%202%28w%2B4%2Bw%29%5C%5C%5C%5C100%3D2%282w%2B4%29%5C%5C%5C%5C100%2F2%3D2w%2B4%5C%5C%5C%5C50%3D2w%2B4%5C%5C%5C%5C2w%2B50-4%5C%5C%5C%5C2w%3D46%5C%5C%5C%5Cw%3D23%20feet%5C%5C%5C%5CWidth%3D23%20feet)
Length=w+4=23+4=27 feet
![Length=27feet\\Width=23feet](https://tex.z-dn.net/?f=Length%3D27feet%5C%5CWidth%3D23feet)
Area of a rectangle = Length*Width
![=27*23\\\\=621Feet^2](https://tex.z-dn.net/?f=%3D27%2A23%5C%5C%5C%5C%3D621Feet%5E2)
Area=![621feet^2](https://tex.z-dn.net/?f=621feet%5E2)