9514 1404 393
Answer:
A) 504
B) 8
Step-by-step explanation:
The statement of proportionality can be written as the equation ...
m = kr²
Then we can find k from ...
k = m/r² = 14/2² = 7/2
That is, ...
m = (7/2)r²
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Using this relation, we can find m for r=12:
m = (7/2)·12² = 7·72
m = 504 . . . for r = 12
__
And, we can use the same equation to solve for r when m=224.
224 = 7/2·r²
r² = 64
r = √64
r = 8 . . . for m = 224
I think you would need ten eggs for 2 1/2 cups of sugar. I might be wrong
Answer: James + Steve = 68. = 17*3 = 51. Answer. Steve is 51 years old.
<em>Let </em><em>the </em><em>two </em><em>numbers </em><em>be </em><em>3x </em><em>and </em><em>4x</em>
<em>sum </em><em>=</em><em>3x </em><em>+</em><em> </em><em>4x </em><em>=</em><em> </em><em>7x</em>
<em>7x </em><em>=</em><em> </em><em>133</em>
<em>x=</em><em> </em><em>19</em>
<em>the </em><em>numbers </em><em>are </em><em>:</em>
<em>3(</em><em>1</em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>57</em>
<em>4(</em><em>1</em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>76</em>
The coordinates of the midpoint of the line segment is the average of the coordinates of both end points. For this example above, let (x, y) be the coordinates of point Q.
(abscissa) -6 = (-1 + x) / 2 ; x = -11
(ordinate) -3 = (-4 + y) / 2 ; y = -2
Therefore, the coordinates of point Q is (-11, -2). The answer is letter A.