All categories

3 years ago

Simplify each equation. Show steps. 1. 2(x + 3) + 4x 2. 4 + 2(x – 2) – 4 3. 6(2x – 4) – 3x 4. -6x – 4 + 5x + 7

Mathematics

2 answers:

Lelu [443]3 years ago

7 0

Answer:

Step-by-step explanation:

1. 2x + 6 + 4x = 6x + 6

2. 4 + 2x - 4 - 4 = 2x - 4

3. 12x - 24 - 3x = 9x - 24

4. -x + 3

Margarita [4]3 years ago

4 0

1) 9x-24
2)2x+4
3) 9x-24
4)-x+3

You might be interested in

Order of the set of numbers from least to greatest : Square root of 64, 8 1/7,8.14...,15/2 please help

KIM [24]

Answer:

15 /2 , Square root of 64, 8.14, 8 1/7

4 0

3 years ago

As a block of ice melts it changes from 1 3/4 lb to 1/4 lb and takes 1/4 hr. What is the rate the ice changes?

Nutka1998 [239]

The rate at which the ice changes is -3/8 lb per hr

<h3>What is the rate the ice changes?</h3>

The given parameters are:

Changes =1 3/4 lb to 1/4 lb

Time = 1/4 hr.

The rate the ice changes is calculated as:

Rate = Change/Time

So, we have

Rate = (1/4 lb - 1 3/4 lb)/(1/4 hr)

Evaluate the difference

Rate = (-1 1/2 lb)/(1/4 hr)

Evaluate the quotient

Rate = -3/8 lb per hr

Hence, the rate at which the ice changes is -3/8 lb per hr

Read more about rates at:

brainly.com/question/19493296

#SPJ1

8 0

2 years ago

Evaluate the expression.<br> 621+5) - 3

Gennadij [26K]

Answer:

I think its 623

8 0

4 years ago

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper

Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution to solve this question.

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.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that $p = 0.3$

14 of these containers of paper.

This means that $n = 14$

What is the probability that John finds less than 7 golden sheets of paper?

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068$

$P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407$

$P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134$

$P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943$

$P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290$

$P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963$

$P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067$

90.67% probability that John finds less than 7 golden sheets of paper

7 0

3 years ago

Which expression is equivalent to -1/4 x + 1/2?

Anna71 [15]

The expression is given by:

$-\frac{1}{4}x+ \frac{1}{2}$

So we need to find an equivalent equation for this problem. Then, we will apply some mathematical rules:

Extracting the common factor 1/4, then:

$\frac{1}{4}(-x+2})$

Or extracting the common factor -1/4, then:

$-\frac{1}{4}(x-2})$

So, comparing these solutions with the answers about, there is no any answer that matches.

7 0

3 years ago

Read 2 more answers