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nadya68 [22]
2 years ago
5

Keiko bought 13 pounds of sugar for $6. How many dollars did she pay per pound of sugar?

Mathematics
1 answer:
stich3 [128]2 years ago
3 0

Step-by-step explanation:

13 pounds of sugar for $6.

for a single pound of sugar we need to divide everything by 13 to keep the same ratio (relationship).

1 pound cost then 6/13 = 0.461538462... ≈ $0.46

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Write an absolute value equation that has the solutions x=−6 and x=10
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3 years ago
Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.
Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

8 0
2 years ago
What is the area of this figure?
Hunter-Best [27]

Answer:

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4 0
2 years ago
Is y=3x-5 and 6x=2y+10 a solution
iVinArrow [24]
Y=3x-5
y-3x=-5
Times 2 from both side
y(2)-3x(2)=-5(2)
2y-6x=-10
Times negative from both side
(-)2y-6x(-)=(-)-10
-2y+6x=10
or
6x-2y=10


6x=2y+10
6x-2y=10
Furthermore, we see that both equation have the same 6x-2y=10 which means that both of them have infinity solutions, not a solution. Hope it help!
5 0
3 years ago
Please help me with question 4!
Minchanka [31]

Answer:

I think that there might be some complex differential equation

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it is evaporating at a rate of 1/12 tank per hour

you can subtract the rates

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so to fill the tank it should take 32 hours...

I think the logic and math work... lets see if someone else will verify this analysis?

Step-by-step explanation:

6 0
2 years ago
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