20+4m=42. The answer to m is 5.5. I got my answer by doing the inverse operation of adding 20 by subtracting 20 from both sides and I got 4m=22. I later did the inverse operation of multiplying 4 I divided by 4 from 22 getting me 5.5.
Try this:
1) area of f-yard is 60*70=4200 feet²;
2) area of b-yard is 10*30=300 feet², according to condition '<span>on half of his back yard' this area should be 0.5*300=150 feet</span>².
3) total: 4200+150=4350 feet².
Answer:
Total area of the gray sections of the target is 678 square inches.
Step-by-step explanation:
Given :
Three concentric circles and we have to find the total area of the gray sections.
Area of white circle having radius 1 foot.
⇒ Area of the white circle - Area of the smaller gray circle.
⇒
⇒ ![\pi (R^2-r^2)](https://tex.z-dn.net/?f=%5Cpi%20%28R%5E2-r%5E2%29)
⇒
<em> ...1 foot = 12 inches and 0.5 foot = 6 inches</em>
⇒ ![3.14(144-36)](https://tex.z-dn.net/?f=3.14%28144-36%29)
⇒ ![3.14(108)](https://tex.z-dn.net/?f=3.14%28108%29)
⇒ 339.12 square inches
The total area of the gray sections is the area of the bigger gray circle minus the area of the white circle.
Total area of the gray sections:
⇒
⇒
<em> ....where 1.5 foot = 18 inches</em>
⇒ ![1017.36-339.12](https://tex.z-dn.net/?f=1017.36-339.12)
⇒
square inches.
≅ 678 square inches.
The total area of the gray sections of the target, to the nearest square inch is 678.
Option C is the right choice.
Answer:
(-5/8, 13/4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
2x + 5y = 15
8x + 4y = 8
<u>Step 2: Rewrite systems</u>
8x + 4y = 8
- Subtract 8x on both sides: 4y = 8 - 8x
- Divide 4 on both sides: y = 2 - 2x
<u>Step 3: Redefine systems</u>
2x + 5y = 15
y = 2 - 2x
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 5(2 - 2x) = 15
- Distribute 5: 2x + 10 - 10x = 15
- Combine like terms: -8x + 10 = 15
- Isolate <em>x</em> term: -8x = 5
- Isolate <em>x</em>: x = -5/8
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: 2x + 5y = 15
- Substitute in <em>x</em>: 2(-5/8) + 5y = 15
- Multiply: -10/8 + 5y = 15
- Simplify: -5/4 + 5y = 15
- Isolate <em>y</em> term: 5y = 65/4
- Isolate <em>y</em>: y = 13/4
<u>Step 6: Graph systems</u>
<em>Check the solution set.</em>
The solution set is equivalent (is in decimal form).
Answer:
I think its b
Step-by-step explanation:
by moving it 5 units down, A' will become (-4,-4), and a 180° would make A'' (4,4). (I haven't taken geometry in a few years, so if im wrong, I'm sorry)