Answer:
The price for 1 lemon is $0.75
Step-by-step explanation:
8x=$6
8x/8=6/8
x=$0.75
Answer:
1. x = 5x + 16
x=−4
2.(-5x) + 2 = 4x + 29
x=−3
3.5x = (-5x) - 10
x=−1
4.(-2x) + 1 = 3x + 11
x=−2
Step-by-step explanation:
The correct answer is: [A]: " 2x³ + 7x² + 12x − 8 " .
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Explanation:
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Given:
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" (x² + 4x + 8) (2x − 1) " ; Find the product:
↔ " (2x − 1) (x² + 4x + 8) " ;
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Note: " (a + b) (c + d + e) = ab + ad + ae + bc + bd + ae " .
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→ " (2x − 1) (x² + 4x + 8) =
(2x * x²) + (2x * 4x) + (2x *8) + (-1 * x²) + (-1 * 4x) + (-1 * 8) ;
= 2x³ + 8x² + 16x + (-1x²) + (-4x) + (-8) ;
= 2x³ + 8x² + 16x − x² − 4x − 8) ;
→ Combine the "like terms" :
+ 8x² − x² = + 7x² ;
+ 16x − 4x = + 12x ;
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And rewrite the expression:
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→ " 2x³ + 7x² + 12x − 8 " ;
→ which is: Answer choice: [A]: " 2x³ + 7x² + 12x − 8 " .
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Answer:<u> 620 cm2
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<u>Step-by-step explanation:
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<u>
The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is: B = 24 * 10 = 240 cm2
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<u>The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is: C = 24 * 5 / 2 = 60 cm2
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<u>The sides are rectangles with 10 cm x 13 cm, so their area is: D = 10 * 13 = 130 cm2
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<u>The total surface area is: S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2</u>