Answer:
I think 8:32 because there are 8 oranges and 32 in total
Answer: 1008 revolutions
Step-by-step explanation:
1 revolution is equal to 
To find how many revolutions the wheel makes, you must divide the distance traveled in the race between the circumference of the wheel
You must first convert 62.8318 in to meters.
We know that 1 inch is 0.0254 meters
Then
Finally The wheel made 1008.21 revolutions
Answer:
y = -18
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = 5x - 3
3x - 2y = 27
<u>Step 2: Rewrite systems</u>
- Define: 3x - 2y = 27
- Add 2y on both sides: 3x = 2y + 27
- Divide 3 on both sides: x = 2/3y + 9
<u>Step 3: Redefine</u>
y = 5x - 3
x = 2/3y + 9
<u>Step 4: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em>: y = 5(2/3y + 9) - 3
- Distribute 5: y = 10/3y + 45 - 3
- Combine like terms: y = 10/3y + 42
- Subtract 10/3y on both sides: -7/3y = 42
- Divide -7/3 on both sides: y = -18
5 cent = 0.05x
<span><span>2 cent </span>= 0.02(x+50)</span>
4 cent = 0.04(2x-10)
0.05x + 0.02(x+50) + 0.04(2x-10)
0.05x + 0.02x +1 + 0.08x -0.4 = 4.35
0.15x +0.6 = 4.35
0.15x = 3.75
X = 3.75 / 0.15 = 25
<span> 25 5 cent stamps (
25*0.05 = 1.25)</span>
25+50 = 75 2 cent stamps ( 75*0.02 = 1.50)
2*25 =50-10 = 40 4 cent stamps ( 40*0.04 =1.60)
1.25 + 1.50 +1.60 = 4.35
5 cent = 25
2 cent = 75
4 cent = 40
<h3>
Answer: x = 9</h3>
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Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
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Extra info (optional section)
Use this x value to find each angle shown below
- angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
- angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees
Then notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
