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-Dominant- [34]
3 years ago
6

There are four slices of pepperoni pizza and three slices of veggie pizza sitting on the counter. what is the probability of ran

domly choosing a slice of veggie pizza
Mathematics
1 answer:
Otrada [13]3 years ago
5 0

Answer:

The probability of randomly choosing a slice of veggie pizza is 3/7

Step-by-step explanation:

Probability is the measure of uncertainty of any event. It is the ratio of number of favorable outcomes to the total number of possible outcomes. That is,

Probability, P(A) = (Number of a Favourable outcome) / (Total number of possible outcomes).

From the question,

There are four slices of pepperoni pizza and three slices of veggie pizza, this means

Total number of favourable outcomes = 4 + 3 = 7

The favourable outcome is the veggie pizza, therefore

Number of favourable outcome = 3

Hence,

Probability P (A) = 3 ÷ 7

P(A) = 3/7

The probability of randomly choosing a slice of veggie pizza is 3/7

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If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20
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<h2>Answer:</h2>10.\text{ Option B is correct}

<h2>Explanation:</h2>

Given the equation expressed as:

2x+5=8x

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}

Step 3: Subtract 8x from both sides

\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}

Step 4: Divide both sides by -6

\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}

Therefore the value of 12x is 10

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