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kaheart [24]
3 years ago
5

One recipe for cereal bars uses 5 cups of cereal and 2 1/2 cups of nuts. A different recipe uses 3 cups of cereal and 1 cup of n

uts. Which recipe is more nutty?
Mathematics
1 answer:
LiRa [457]3 years ago
4 0
The first one because 1/3 of it is nutty while only 1/4 of the second one is nuty
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Given the circle with the equation (x + 1)2 + y2 = 36, determine the location of each point with respect to the graph of the cir
kati45 [8]
\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad 
radius=\stackrel{}{ r}\\\\
-------------------------------\\\\
(x+1)^2+y^2=36\implies [x-(\stackrel{h}{-1})]^2+[y-\stackrel{k}{0}]^2=\stackrel{r}{6^2}~~~~
\begin{cases}
\stackrel{center}{(-1,0)}\\
\stackrel{radius}{6}
\end{cases}

so, that's the equation of the circle, and that's its center, any point "ON" the circle, namely on its circumference, will have a distance to the center of 6 units, since that's the radius.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
(\stackrel{x_1}{-1}~,~\stackrel{y_1}{0})\qquad 
A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{1})\qquad \qquad 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
\stackrel{distance}{d}=\sqrt{[-1-(-1)]^2+(1-0)^2}\implies d=\sqrt{(-1+1)^2+1^2}
\\\\\\
d=\sqrt{0+1}\implies d=1

well, the distance from the center to A is 1, namely is "inside the circle".

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
(\stackrel{x_1}{-1}~,~\stackrel{y_1}{0})\qquad 
B(\stackrel{x_2}{-1}~,~\stackrel{y_2}{6})\\\\\\
\stackrel{distance}{d}=\sqrt{[-1-(-1)]^2+(6-0)^2}\implies d=\sqrt{(-1+1)^2+6^2}
\\\\\\
d=\sqrt{0+36}\implies d=6

notice, the distance to B is exactly 6, and you know what that means.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
(\stackrel{x_1}{-1}~,~\stackrel{y_1}{0})\qquad 
C(\stackrel{x_2}{4}~,~\stackrel{y_2}{-8})
\\\\\\
\stackrel{distance}{d}=\sqrt{[4-(-1)]^2+[-8-0]^2}\implies d=\sqrt{(4+1)^2+(-8)^2}
\\\\\\
d=\sqrt{25+64}\implies d=\sqrt{89}\implies d\approx 9.43398

notice, C is farther than the radius 6, meaning is outside the circle, hiking about on the plane.
3 0
3 years ago
Read 2 more answers
8' 4" − 2' 6" = how to find the answer
Harlamova29_29 [7]

Step-by-step explanation:

by considering how many inches (") are in one foot (').

the answer is 12. there are 12 in in every ft.

so, now we can convert everything to the smallest scale (inches) and do the calculation based on inches :

(8×12 + 4) - (2×12 + 6) = 96 + 4 - 24 - 6 = 100 - 30 = 70"

and now to translate 70" back into ft and in :

70/12 = 5 with a remainder of 10

70" = 5' 10"

7 0
2 years ago
How to find the volume of the cube?
Ierofanga [76]

Answer:

its 125

Step-by-step explanation:

5x5x5

7 0
3 years ago
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Solve the equation:<br><br> 15x11+(29x42)=?
Katyanochek1 [597]

Answer:

1,383

Step-by-step explanation:

15x11+(29x42)

165 + (1,218)

= 1,383

3 0
3 years ago
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Jorge said that 0.029 can be writen as 29/100 is he correct?
Nezavi [6.7K]

Answer:

No

Step-by-step explanation:

29/100 can be written as 0.29 , not 0.029.

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3 years ago
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