There is this app called Photomath where you just take a picture of your problem and it tells you the answer and how to solve it and the solving steps
Answer:
300 can be expected to prefer spaghetti over meatloaf.
x= the number of girls competing
x+16=the number of boys competing
The equation to find the number of boys and girls competing would be:
x+(x+16)=1000
First, combine like terms:
2x+16=1000
Subtract 16 from both sides.
2x=984
Divide both sides by 2:
x=492
We know now that the number of girls competing is 492. To find the number of boys competing, you simply have to add 16 to 492.
492+16=508
There are 508 boys competing and 492 girls competing.
I hope this helps :)
The first time I did it, I got an answer that's not one of the choices. The second time
I did it, I got an answer that IS . Here are both of my procedures. If all you want is
the answer, look down below at the second one. But if you could help me out, now
that you know how to do this stuff, please look at my first solution and tell me where
I messed up. I can't find it.
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Here's what the problem tells you:
D = 10 log ( ' I ' / 10⁻¹² )
D = 60 . . . . . find ' I ' .
Here we go:
60 = 10 log ( ' I ' / 10⁻¹² )
Divide each side by 10 :
6 = log ( ' I ' / 10⁻¹² )
Raise 10 to the power of each side of the equation:
10⁶ = ' I ' / 10⁻¹²
Multiply each side by 10¹² :
10¹⁸ = ' I ' That's 10^18. It looks bad, because that isn't one of the choices.
Let's try a slightly different procedure:
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After substituting 10⁺¹² for I₀ , we're working with this formula:
D = 10 log ( 'I' / 10⁺¹² )
Let's just look at the log part of that.
The log of a fraction is [ log(numerator) - log(denominator) ]
log of this fraction is [ log( 'I' ) - log(10⁻¹²) ]
But log(10⁻¹²) is just (-12) .
So the log of the fraction is [ log( 'I' ) + 12 ]
And the whole formula is now:
D = 10 [ log( 'I' ) + 12 ]
60 = 10 [ log( 'I' ) + 12 ]
Divide each side by 10 :
6 = log( 'I' ) + 12
Subtract 12 from each side :
-6 = log ( ' I ' )
' I ' = 10⁻⁶
That's choice-'B' .
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I'm going to leave the first solution up there, in hopes that you, or one
of the many aces, experts, and geniuses that prowl this site constantly,
can weigh in and show me my blunder on the first attempt.
Answer:
Part c) 
Part d) 
or 
Step-by-step explanation:
Part c) Find the volume of the inverted rectangular pyramid
The volume of the rectangular pyramid is equal to
where
B is the area of the rectangular base
h is the height of pyramid
<em>Find the area of the base B</em>
substitute
Part d) Find the maximum volume of tea in the tea cup
we know that
The volume of cylinder (tea cup) is equal to
we have
substitute
-----> exact value
<em>Find the approximate value</em>
assume
