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WARRIOR [948]
3 years ago
7

Half of a number decreased by 27

Mathematics
1 answer:
bija089 [108]3 years ago
3 0

"Half of a number decreased by 27" can be displayed as:

<u>1/2x - 27</u>

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You earn 10% commission on furniture sales. This week you have sold $3,000 in furniture. Your goal for the week is to earn $550
mario62 [17]

Answer:

2,500.00

Step-by-step explanation:

5 0
3 years ago
(5x 4 – 3x 3 + 6x) – ( 3x 3 + 11x 2 – 8x)
BaLLatris [955]
5x⁴ - 3x³ + 6x) - (3x³ + 11x² - 8x)<span>

</span>Expand the second bracket by multiplying throughout by -1
5x⁴ - 3x³ + 6x - <span>3x³ - 11x² + 8x
</span>
Group like terms and simplify 
5x⁴ - 3x³ - 3x³ - 11x² + 6x <span>+ 8x

</span>5x⁴ - 6x³ - <span>11x² + 14x</span>
6 0
3 years ago
Read 2 more answers
If you borrow $500 for 6 years at an annual interest rate of 7% ,how will you pay all togther
Vlad [161]

Answer:

$3,210

Step-by-step explanation:

7% of 500 = 35

35 + 500 = 535

535 x 6 = 3,210

Answer = You would pay $3,210 all together.

6 0
3 years ago
Expand (2x + 3)^5 using the Binomial Theorem and Pascal’s triangle. Show all steps.
kari74 [83]

Answer:

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

Step-by-step explanation:

(2x + 3)⁵

₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵

Use Pascal's triangle to find nCr.

\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵

(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

7 0
3 years ago
A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
Naya [18.7K]
<span>Volume of Cone: 1/3 Bh where B is the area of the base 1/3 Bh = 5 Bh = 15 B = 15/h The cylinder has the same base area as the cone. Volume of Cylinder: V = B*h B = V/h and B = 15/h The height of the cone and the cylinder are the same. V/h = 15/h Volume of Cylinder = 15.</span>
4 0
3 years ago
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