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Alexxx [7]
3 years ago
11

Simplify 5 1/3 + (-3 9/18)

Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0
5\dfrac{1}{3}+\left(-3\dfrac{9}{18}\right)=5\dfrac{1}{3}-3\dfrac{1}{2}=5\dfrac{1\cdot2}{3\cdot2}-3\dfrac{1\cdot3}{2\cdot3}=5\dfrac{2}{6}-3\dfrac{3}{6}\\\\=4\dfrac{8}{6}-3\dfrac{3}{6}=1\dfrac{5}{6}
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4. Stella says the equation x^2−8x+y^2+2y=5 has a center of (4,−1) and a radius of 5. Is she correct? Why or why not?
Ostrovityanka [42]
<h2>Stella is correct about center and wrong about radius      </h2>

Step-by-step explanation:

Equation of circle with (h,k) as center and radius r is given by,

          (x-h)²+(y-k)² = r²

Here equation is

          x²−8x+y²+2y=5

Changing in to (x-h)²+(y-k)² = r² form

           x²−8x + 16 - 16 +y²+2y+1 - 1=5  

           (x-4)² - 16 + (y+1)² -1 = 5

           (x-4)²  + (y+1)²  = 22

           (x-4)²  + (y+1)²  = 4.69²

           Center is (4,-1) and radius is 4.69

Stella is correct about center and wrong about radius            

8 0
3 years ago
Perform the required calculations for each of the following items. Round your answers to the nearest 0.1%. 20 is how much less t
alexdok [17]

Answer:

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4 1
3 years ago
A salesperson is guaranteed $450 per week plus a 4% commission on all sales.
scoundrel [369]
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4 0
4 years ago
Lauren reads in the library for 1 hour 15 minutes. She leaves the library at 3:23 pm. at what time did she arrive?​
kompoz [17]
You can answer this problem by solving backwards. she read for 1 hour and 15 minutes so start with 1 hour before she left. 1 hour before 3:23 is 2:23. Now subtract the 15 minutes from that 15 minutes before 2:23 is 2:08.
Therefore the time is 2:08pm.
8 0
4 years ago
A cylinder has a radius of 50 ft and a height of 18 ft. What is the exact surface area of the cylinder?
Sati [7]
The formula of the total surface area of the cylinder would be: Base area+ surface area along the circumference.

To find an exact value,we would also have to save 兀and not turn it in other approximate values.

The base area would be:
兀r^2
=兀(50)^2
=2500兀 ft^2

The surface area along the circumferecen would be:
2兀r(base circumference) x height
=2兀50×18
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Adding them up,we would then find the total surface area:

4500兀+2500兀
=7000丌 ft^2

Thus,the answer is 7000 丌 ft^2.

Hope it helps!
4 0
3 years ago
Read 2 more answers
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