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3 years ago

3x + 2(4 + 6x) = 113 Explain what you did in each step of your solution.

Mathematics

2 answers:

nika2105 [10]3 years ago

7 0

PEMDAS (parenthesis, exponents, multiplication, division, addition, subraction)

Paha777 [63]3 years ago

3 0

Answer:

x = 7

Step-by-step explanation:

So first, multiply everything inside the ( ) by 2

So then, the equation will look like this: 3x + 8 + 12x = 113

Then, combine like terms, which leave the equation to look like this:

15x + 8 = 113

Then subtract 8 from both sides, leaving the equation like this : 15x = 105

Last step, divide both sides by 15, which leave you with x = 7

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ALGEBRA 2 HELP!!!!!!!!

dexar [7]

Answer:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

Step-by-step explanation:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

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3 years ago

A jar contains 0.75 liter of blackberry juice and 0.60 liter of blueberry juice. Patrick poured 0.25 liter of guava juice into t

mixas84 [53]

Answer:

1.40 litres; order of operations

Step-by-step explanation:

Part A:

First, write it out in the full form.

#1 (.75 litres of blackberry juice + .60 litres of blueberry juice + .25 litres of guava juice) - .20 litres drank = 1.4 litres of juice remaining in the jar

Part B:

Removing the wordy descriptions from the expression, we get the following:

#2 (.75 + .60 +.25) - .20

or, by adding the numbers in the parentheses first:

#3 (1.60) - .20 = 1.40

#4 1.40 litres of juice left in the jar

The order of operations was used in moving from step #2 to step #3, as operations within the parentheses were conducted before subtracting the .20 litres of juice which were drank.

8 0

3 years ago

Police estimate that 25% of drivers drive without their seat belts. If they stop 6 drivers at random, find the probability tha

Furkat [3]

Answer:

17.80% probability that all of them are wearing their seat belts.

Step-by-step explanation:

For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not. The drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers. So we use the normal probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Police estimate that 25% of drivers drive without their seat belts.

This means that 75% wear their seatbelts, so $p = 0.75$

If they stop 6 drivers at random, find the probability that all of them are wearing their seat belts.

This is $P(X = 6)$ .

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.1780$

17.80% probability that all of them are wearing their seat belts.

3 0

3 years ago

Read 2 more answers

I need help on number 6 please help

lions [1.4K]

Mean = all numbers added up ÷ amount of numbers So 22 + 24 + 26 + 20 + 29 + 28 + 26 = 175 175 ÷ 7 = 25 for mean Median = middle number when arranged in order 20, 22, 24, 26, 26, 28, 29. Middle number is 26. Mode = most frequent number Also 26 because it appears twice whereas all the other numbers only appear once. Range = highest number - lowest number 29 - 20 = 9.

6 0

3 years ago

Help!! 100 points! (IF SPAM I WILL REPORT YOU AND IF YOU WANT POINTS TYPE FRE ANSWERS IN SEARCH)

iogann1982 [59]

Answer:

Step-by-step explanation:

Part A

Area of a rectangle = length x width

Garden area = 7 3/4 x 2 2/3

= 31/4 x 8/3

= 62/3

= 20 2/3 square feet

Part B

5/8 of the area = 62/3 * 5/8

= 31*5 / 3*12

= 155 / 36

= 4 11/36

The question asks to do so without calculation - the only way is that because the length is approximately 8 feet, section off 5 feet along the length will give an area approximately 5/8 of the total area.

5 0

2 years ago