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olga55 [171]
3 years ago
7

Ella sold 37 necklaces for $20 each at the craft fair. She is going to donate half of the money she earned to charity. Use the C

ommutative Property to mentally find how much money she will donate. Explain the steps you used.
Mathematics
2 answers:
lozanna [386]3 years ago
5 0

Ella sold 37 necklaces for $20 each at the craft fair. She is going to donate half of the money she earned to charity. Use the Commutative Property to mentally find how much money she will donate. Explain the steps you used.

Solution:

Earning from 1 necklace=$20

Earning from 37 necklaces=$20*37

Half of the earnings= \frac{20*37}{2} =\frac{20}{2}*37=10*37

Half of the earnings=$10*37

Now, Applying Commutative Propert, a*b=b*a

So, Money she need to donate= Half of the earnings= 10*37 =37*10

So, Money she donates=$370

money she will donate=$370

atroni [7]3 years ago
3 0
370 because 740 halved is 370

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Hitman42 [59]

Answer:

7999 \div 4\# lies between 163.245 and 199.975

Step-by-step explanation:

Given

2 digit = 4#

Required

The range of 7999 \div 4\#

Let

\# = 0 --- the smallest possible value of #

So:

7999 \div 40 = 199.975

Let

\# = 9 --- the largest possible value of #

So:

7999 \div 49 = 163.245

<em>Hence, </em>7999 \div 4\#<em> lies between 163.245 and 199.975</em>

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3 years ago
Every 365.25 days the Earth completes one revolution around the Sun. About how many degrees does the Earth travel each day?
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3 years ago
The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

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where,

N(t) = quantity of the substance remaining

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t = time elapsed

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From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
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  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

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3 years ago
How do you find the equation of a triangles altitude using point slope formula?
forsale [732]
<span><span><span>1. An altitude of a triangle is a line segment from a vertex perpendicular to the opposite side. Find the equations of the altitudes of the triangle with vertices (4, 5),(-4, 1) and (2, -5). Do this by solving a system of two of two of the altitude equations and showing that the intersection point also belongs to the third line. </span>
(Scroll Down for Answer!)</span><span>Answer by </span>jim_thompson5910(34047)   (Show Source):You can put this solution on YOUR website!
<span>If we plot the points and connect them, we get this triangle: 

 

Let point 
A=(xA,yA)
B=(xB,yB)
C=(xC,yC) 



------------------------------- 
Let's find the equation of the segment AB 


Start with the general formula 

 


Plug in the given points 

 


Simplify and combine like terms 

 


So the equation of the line through AB is  


------------------------------- 
Let's find the equation of the segment BC 


Start with the general formula 

 


Plug in the given points 

 


Simplify and combine like terms 

 


So the equation of the line through BC is  




------------------------------- 
Let's find the equation of the segment CA 


Start with the general formula 

 


Plug in the given points 

 


Simplify and combine like terms 

 


So the equation of the line through CA is  




So we have these equations of the lines that make up the triangle 


 



So to find the equation of the line that is perpendicular to  that goes through the point C(2,-5), simply negate and invert the slope  to get 

Now plug the slope and the point (2,-5) into  


 

 Solve for y and simplify 

So the altitude for vertex C is  



Now to find the equation of the line that is perpendicular to  that goes through the point A(4,5), simply negate and invert the slope to get  

Now plug the slope and the point (2,-5) into  


 

 Solve for y and simplify 

So the altitude for vertex A is  




Now to find the equation of the line that is perpendicular to  that goes through the point B(-4,1), simply negate and invert the slope to get  

Now plug the slope and the point (-4,1) into  


 

 Solve for y and simplify 

So the altitude for vertex B is  



------------------------------------------------------------ 
Now let's solve the system 


 

 Plug in  into the first equation 

 Add 2x to both sides and subtract 2 from both sides 

 Divide both sides by 3 to isolate x 


Now plug this into  

 

 



So the orthocenter is (-2/3,1/3) 

So if we plug in  into the third equation , we get 


 


 


 

 

So the orthocenter lies on the third altitude 





</span><span>
</span></span>
3 0
3 years ago
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Agata [3.3K]

Answer and Step-by-step explanation:

\frac{5}{x-9}

The domain is all real numbers <u>except</u> 9 (positive)

This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is <u>not</u> included.

#teamtrees #WAP (Water And Plant)

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