Answer:
x = -4, y = -2
Step-by-step explanation:
substitute for y
2x - 5(x + 2) = 2
distribute -5
2x -5x - 10 = 2
solve
-3x - 10 = 2
add 10 on both sides
-3x = 12
divide by -3
x = -4
now substitute for x in the equation y = x + 2
y = -4 + 2
y = -2
Answer: it will cost £78.0672 to travel the 192 miles to Brighton.
Step-by-step explanation:
The minibus runs at 16 miles to a gallon of diesel. If there are 4.55 litres to a gallon and diesel costs £1.43 per litre, it means that the cost of a gallon of diesel would be
4.55 × 1.43 = £6.5056
This means that the cost of running 16 miles is £6.5056
Therefore, the amount that it will cost to travel the 192 miles to Brighton would be
(192 × 6.5056)/16 = £78.0672
Volume of Rectangle = (Area of Base)(Height)
Volume of Square Pyramid = (1/3) (Area of Base)(Height)
The prism is 3 times larger than the pyramid
Answer: A
He bought 45 bars of chocolate.
1/5 x 45 = 9
He ate 9 bars on Tuesday.
45 - 9 = 36
He had 36 bars left.
1/12 x 36 = 3
He ate 3 bars on Wednesday
36 - 3 = 33
He had 33 bars left.
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Answer: He had 33 bars left.
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Answer:
D)
Step-by-step explanation:
y = 12x.
A) x=8, so that y = 12(8) = 96. It's on the line
B) x = 10, so that y = 12(10) = 120. It's on the line
C) x = 15, so that y = 15(12) = 180. It's on the line
D) x = 18, so that y = 18(12) = 216, not equal to 206. So, the point is not on the line.