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3 years ago

(6m + 27) \ (m + 7) Division

Mathematics

1 answer:

Bad White [126]3 years ago

4 0

Answer:

m = 9/2

Step-by-step explanation:

Divide each term in

6m/6 = 27/6

cancel the common factor of 27 and 6

the results can be shown in multiple forms

Exact form : m = 9/2

decimal form : m = 4.5

mixed number form : m = 4 1/2

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-16x-10>14-10x hi can u please help me with this

kompoz [17]

Answer:

x < -4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

-16x - 10 > 14 - 10x

Step 2: Solve for x

Add 16x to both sides: -10 > 14 + 6x
Subtract 14 on both sides: -24 > 6x
Divide 6 on both sides: -4 > x
Rewrite: x < -4

Here we see that any value x that is less than -4 would work as a solution.

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2 years ago

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3 years ago

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A 6 inch personal pizza has 640 calories, with 240 of those from fat. A 12 inch pizza is cutinto 8 slices. Estimate the number o

MissTica

Given:

Number calories in a 6-inch pizza = 640 calories

For the pizza of 6 inch

$A=\pi(3)^2=9\pi$

For the pizza of 12 inch

$A=\pi(6)^2=36\pi$

Number calories in a 6-inch pizza = 640 calories, therefore:

$\frac{A_{6\text{ inch}}}{A_{12\text{ inch}}}=\frac{640}{x}$

Substitute:

$\begin{gathered} \frac{9\pi}{36\pi}=\frac{640}{x} \\ Simplify \\ \frac{1}{4}=\frac{640}{x} \end{gathered}$

And solve for x:

$\begin{gathered} 1\cdot x=4\cdot640 \\ x=2560 \end{gathered}$

Now, Estimate the number of calories in one slice of a 12 inch pizza:

$\frac{2560}{8}=320$

Answer: 320 calories

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1 year ago

Let x be a Poisson random variable with μ = 9.5. Find the probabilities for x using the Poisson formula. (Round your answers to

miv72 [106K]

Answer: 1

Step-by-step explanation: the probability mass function that defines a possion probability distribution is given below as

P(x=r) = e^-u × u^x/x!

For this question, x = 0 and u = 9.5

Hence we have that

P(x=0) = e^-0 × 9.5^0 / 0!

P(x=0) = 1 × 1/ 1 = 1

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3 years ago

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VashaNatasha [74]

Answer:

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Step-by-step explanation:

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2 years ago