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2 years ago

Which expression is equivalent to (4x + 7y) + 5z?

Mathematics

1 answer:

Oliga [24]2 years ago

4 0

It's an Associative property (a + b) + c = a + (b + c)

<h3>Answer: A)</h3>

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The ratio of the number of male lions to female lions in the animal reserve is 21:20. If there are 123 lions in the animal reser

Vanyuwa [196]

21 + 20 = 43

Total is 123, so divide by 43.

123/43 = 2.86 rounded to 3.

(females) 20 x 3 = 60 female lions

7 0

2 years ago

Find the amount of sap the maple syrup producer collected from each tree if the total amount (5 gallons) was redistributed equal

enot [183]

It would be 20 you welcome

7 1

3 years ago

Read 2 more answers

In a game called Taxation and Evasion, a player rolls a pair of dice. If, on any turn, the sum is 7, 11, or 12, the player gets

AnnZ [28]

Answer:

$Probability = \frac{243}{1024}$

Step-by-step explanation:

Given

$Sum = \{7, 11, 12\}$

$Rolls = 5$

Required

Probability of not getting audited

If a pair of dice is rolled, the following are the observations of the sum

$Outcomes = 36$

$Sum\ of\ 7 = 6$

$Sum\ of\ 11 = 2$

$Sum\ of\ 12 = 1$

So, in a single roll; The probability of getting audited is:

$p= \frac{1 + 2 + 6}{36}$

$p= \frac{9}{36}$

$p= \frac{1}{4}$

The probability of not getting audited in a single roll is:

$q = 1 - p$ --- Complement rule

$q = 1 - \frac{1}{4}$

Take LCM

$q = \frac{4 - 1}{4}$

$q = \frac{3}{4}$

The probability of not getting audited in 5 rolls is:

$Probability = q^5$

$Probability = (\frac{3}{4})^5$

$Probability = \frac{3^5}{4^5}$

$Probability = \frac{243}{1024}$

7 0

3 years ago

What property for each step?

PolarNik [594]

For the first one it’s subtraction property of equality

6 0

3 years ago

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A rectangular garden has vertices at (4, 3), (6, 3), (6, 9), and (4, 9). Plot each vertex of the garden.

kati45 [8]

Answer:

Step-by-step explanation:

A rectangular garden has vertices at

(x = 4, y = 3), (x = 6, y = 3), (x = 6, y = 9), and (x = 4, y = 9).

To plot each vertex of the garden find on the graph the x and y coordinate of the point and mark the point.

3 0

1 year ago