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Fantom [35]
3 years ago
7

What is the answer to 1. please explain!

Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0
The answer is given below:

kari74 [83]3 years ago
8 0
You can turn these numbers into improper fractions. 5 1/3 can be changed to 16/3. 3 5/6 can be changed to 23/6. So now your equation is 16/3 - 23/6= ? 
To do this we have to have common denominators. Since 3 times 2 can make 6, which is the other denominator then we can multiply the top which is 16 by 2 as well. This is because whatever you do to the top you have to do to the top. 16 times 2 is 32. Now we have 32/6-23/6. The denominator is going to stay the same so you don't have to worry about it. Take the numerators and subtract them. 
32-23=? 
You should have gotten 9. 
So now you have 9 over 6. You can simplify this with a common factor which in this case is 3. 9 divided by 3 is 3. 6 divided by 3 is 2. You now have 3/2. You can simplify this back into a mixed number and that would give 1 1/2. This is because 2, the denominator, goes into 3 once with a remainder of 1. 1 over 2 is 1/2. 
Your answer is 1 1/2. 
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balance = - $2

 

<span>There is an excess of 2 dollars at the end.</span>

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An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 25 ft.
faltersainse [42]

Answer:

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center is 24 feet

Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

y=a(x-h)^2+k, (h,k) is the center

y=a(x-50)^2+25

the parabola starts at (0,0) that is (x,y)

0=a(0-50)^2+25

subtract 25 from both sides

-25=a(-50)^2

-25=a(2500)

divide both sides by 2500

a=-\frac{1}{100}

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center.

center is at 50, 10 feet from the center so x=40 and x=60

y=-\frac{1}{100}(40-50)^2+25

y=24

the height of the arch 10 feet from the center is 24 feet

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