5th grade math. correct answer will be marked brainliest

question 4(multiple choice worth 1 points) (01.02 mc) bruno solved the following equation: 4x (10x − 4)

miskamm [114]

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

<h3>What is a linear equation?</h3>

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
The equation is referred to as a linear equation in one variable if just one variable is contained in the equation.

Now,

We are given the linear equation: $4x + \frac{1}{2}(10x-4)=6$

4x + 5x -2 = 6 (Distributive property)
9x - 2 = 6 (combining the like terms)
9x = 8 (additive property of equality)
x = 8/9 (division property of equality)

Hence, The third and fourth solutions are correct when using the division property of equality, i.e., The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

To learn more about linear equations, refer to the link: brainly.com/question/11897796

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3 0

1 year ago

Which expression can be used to determine the total weight of b baseballs that weight 5.25 ounces each and s softballs that weig

storchak [24]

5.25b + 6.5s
if we had for example 5 baseballs it would be 5 times 5.25 so we have b therefore it is b times 5.25

4 0

3 years ago

Read 2 more answers

Find points and graph the following equation. Is this a linear graph? -5x + 6y = 2

anastassius [24]

Answer:

Yes

Step-by-step explanation:

It is a linear graph.

4 0

3 years ago

What is the inverse of f(x)=1/17x-3

Zielflug [23.3K]

Answer:

17x+51

Step-by-step explanation:

6 0

4 years ago

II'll mark brainliest who is the first to answer both questions correctly.

Strike441 [17]

Answer:

A) The probability that each player gets an ace, a 2 and a 3 with the order unimportant = (72/1925) = 0.0374

B) The probability of winning the jackpot = (1/1200) = 0.0008333

Step-by-step explanation:

A) There are four Aces, four 2's, and four 3's, forming a set of 12 cards

These cards are to be divided at random between 4 players.

What is the probability that each player gets an ace, a 2 and a 3.

We start with the first player, the probability of these cards for the first player, with order not important (because order isn't important, there are 6 different arrangement of the 3 cards)

6 × (4/12) × (4/11) × (4/10) = (16/55)

Then the second player getting that same order of cards

6 × (3/9) × (3/8) × (3/7) = (9/28)

Third player

6 × (2/6) × (2/5) × (2/4) = (2/5)

Fourth player

6 × (1/3) × (1/2) × (1/1) = 1

Probability that each of the players get different cards is then a multiple of the probabilities obtained above

= (16/55) × (9/28) × (2/5) × 1

= (288/7700) = (72/1925) = 0.0374

B) The concluding part of the B question.

To win the jackpot, the numbers on your ticket must match the three white balls and the SuperBall. (You don't need to match the white balls in order). If you buy a ticket, what is your probability of winning the jackpot?

Probability of wimning the jackpot is a product the probability of getting the 3 white balls correctly (order unimportant) and the probability of picking the right red superball

Probability of picking 3 white balls from 10

First slot, any of the 3 lucky numbers can fill this slot, (3/10)

Second slot, only 2 remaining lucky numbers can fill this slot, (2/9)

Third slot, only 1 remaining lucky number can fill this slot, (1/8)

(3/10) × (2/9) × (1/8) = (1/120)

Probability of picking the right red superball

(1/10)

Probability of winning the jackpot = (1/120) × (1/10) = (1/120) × (1/10) = (1/1200) = 0.0008333

Hope this Helps!!!

5 0

3 years ago