Answer:
the equation D ) would cause a consistent-independent system.
Step-by-step explanation:
A ) 5 x + y = 7 /*( -2 )
10 x + 2 y = 14
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- 10 x - 2 y = - 14
10 x + 2 y = 14
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0 x = 0 ( Dependent system )
B ) 5 x + y = 7 / * 3
- 15 x - 3 y = - 6
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15 x + 3 y = 21
- 15 x - 3 y = - 6
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0 x = 15 ( Inconsistent system )
C ) 5 x + y = 7
5 x + y = - 7 / * ( - 1 )
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5 x + y = 7
- 5 x - y = 7
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0 x = 14 ( Inconsistent system )
D ) 5 x + y = 7 / * ( - 2 )
6 x + 2 y = 7
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- 10 x - 2 y = - 14
6 x + 2 y = 7
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- 4 x = - 7; x = 7/4; y = - 7/4
Since she had $35.48 on her card.
Amount spent in buying coffee = $70 - $35.48 = $34.52
Cost of coffee = $8.63 per pound
No of pounds = Amount spent / cost per pound
= 34.52 / 8.63 Use your calculator.
= 4
Answer:
Step-by-step explanation:
Given
See attachment for circles
Required
Ratio of the outer sector to inner sector
The area of a sector is:
For the inner circle
The sector of the inner circle has the following area
For the whole circle
The sector of the outer sector has the following area
So, the ratio of the outer sector to the inner sector is:
Cancel out common factor
Express as fraction
X=60° (equilateral triangle)
y=120°
Working: (360°-120°)/2
1.2 which is 6/5 in fraction form
