Answer:
6:35.
Step-by-step explanation:
I start by adding the hours spent to the time leaving me with 5:50, I then add the 40 which brings it to 6:30 and the additional 5 minutes bringing the final answer to 6:35.
Y = number of yellow marbles
r = number of red marbles
The total number of marbles
y+r=61
The number of yellow marbles compared to red.
y=2r+4
Substitute the second equation into the first equation because they are the same variable and, therefore, are the same number.
2r+4+r=61
Simplify
3r+4=61
Subtract 4 from both sides
3r=57
Divide both sides by three
r=19
We have the number of red marbles, but we are looking for the number of yellow marbles, so plug the 19 red marbles into either equation.
y=2(19)+4
or
y+19=61
Simplify
y=42
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Answer:
42 yellow marbles
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Equations:
y+r=61
y=2r+4
Lets draw the square first.
As you can see in the diagram, the distance between one corner and the opposite side is the diagonal of the rectangle which divides it into tow right triangles. Since we know that in a square all the lengths have the same measure, the legs of our triangle are going to measure 250 ft.
Now, the only thing left to do is apply the Pythagorean theorem to find the hypotenuse of our triangle which is no other than the diagonal of our square:
We can conclude that the distance <span>from one corner of the courtyard to the opposite corner is 353.6 ft.</span>
Answer:
It would be 2.17391304348 but you can round it to the nearest tenths or hundreths, whatever you choose
Step-by-step explanation:
If you want to round it to the nearest tenths, then it would be 2.2
If you want to round it to the nearest hundreths, it would be 2.17
Did this help??
Answer:
General Formulas and Concepts:
<u>Calculus</u>
Integrals
- Definite Integrals
- Area under the curve
- Integration Constant C
Integration Rule [Reverse Power Rule]:
Integration Rule [Fundamental Theorem of Calculus 1]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
Area of a Region Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 6x + 19
Interval [12, 15]
<u>Step 2: Find Area</u>
- Substitute in variables [Area of a Region Formula]:
- [Integral] Rewrite [Integration Property - Addition/Subtraction]:
- [Integrals] Rewrite [Integration Property - Multiplied Constant]:
- [Integrals] Integrate [Integration Rule - Reverse Power Rule]:
- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e