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ANTONII [103]
3 years ago
13

A baker charges $30 for each batch of cupcakes she makes. She adds $0.09 for each frosting flower. Write an expression to repres

ent the total cost of a batch of cupcakes with frosting flowers. Operation Clues→ Variable→ Define a variable→ Expression→
Mathematics
1 answer:
Lisa [10]3 years ago
8 0

Answer:

30+0.09x

Here, x denotes number of frosting flowers

Step-by-step explanation:

Let x denotes number of frosting flowers.

Amount charged by baker for each batch of cupcakes = $30

Amount charged for each frosting flower = $0.09

So,

Amount charged for x frosting flowers = \$0.09x

Therefore,

Total cost of a batch of cupcakes with frosting flowers = 30+0.09x

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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
Jonas types 560 words in 20 mins. How many words can he type in one hour
dalvyx [7]

Answer:

1680 words.

Step-by-step explanation:

There are 60 minutes in an hour. So all you need to do it 560 + 560 + 560.

I say this because he types 560 word in 20 minutes..20+20+20 is 60 so that means you have to add 560, 3 times as well.


Hope this helped! :)

5 0
3 years ago
Help me please ( on the image )
Mrac [35]

Answer:

\frac{\pi}{3} radians

Step-by-step explanation:

Number of hours on a clock = 12

Since, measure of a circle at the center = 360°

Measure of central angle formed by the arc between each number (representing hours) = \frac{360}{12}

                                  = 30°

Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°

        = 120°

Therefore, angle measure in radians = \frac{\pi }{360}\times (120^0)

                                                              = \frac{\pi }{3}

Angle formed by the hands of the clock at 8:00 = \frac{\pi}{3} radians

6 0
3 years ago
WHAT WOULD THIS BEEEE!!
Alekssandra [29.7K]
The answer is d :) have a good day
6 0
3 years ago
2) A pool is being filled with a hose. The equation y=12x represents the relationship between
faltersainse [42]

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.

8 0
2 years ago
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