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3 years ago

How to solve x/3 + 4 = -2

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

5 0

Answer:

x=−18

Step-by-step explanation:

Let's solve your equation step-by-step.

+4=−2

Step 1: Simplify both sides of the equation.

x+4=−2

Step 2: Subtract 4 from both sides.

x+4−4=−2−4

x=−6

Step 3: Multiply both sides by 3.

3*(

x)=(3)*(−6)

x=−18

Alexxandr [17]3 years ago

5 0

Answer:

x = -18

Step-by-step explanation:

$\frac{x}{3} +4 = -2\\\frac{x}{3} = -2-4\\\frac{x}{3} = - 6\\x = -6 / \frac{1}{3} \\x = -6 * \frac{3}{1} \\x = -\frac{18}{1} \\x = -18$

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Jess wants to measure how much water she uses in the shower each morning. She finds

forsale [732]

Answer:

32 gallons of water

Step-by-step explanation:

8 minutes = 480 seconds.

set up a proportion:

1/15=x/480

we have to solve for x:

15x=480

x=32.

Jess uses 32 gallons of water.

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3 years ago

Read 2 more answers

Good Moring please please answers this

ira [324]

The answer will be reflect (2, - 3 ) in x = -1

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3 years ago

Three times the difference of a number and nine.

Nikitich [7]

Answer:

3*x-9

Difference means subtraction and times means multiplication!

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3 years ago

What is an example of when you would want consistent data and, therefore, a small standard deviation?

steposvetlana [31]

Answer:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

$\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271$

And for the standard deviation we can use the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And after replace we got:

$s = 0.1496$

And as we can ee we got a small value for the deviation <1 on this case.

Step-by-step explanation:

For example if we have the following data:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

We see that the data are similar for all the observations so we would expect a small standard deviation

If we calculate the sample mean we can use the following formula:

$\bar X=\frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271$

And for the standard deviation we can use the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And after replace we got:

$s = 0.1496$

And as we can ee we got a small value for the deviation <1 on this case.

8 0

3 years ago

Can jack built 1/5 of a shed in the same time that kyle can build 5/8 of shed,

Helen [10]

<h3>Answer: 3/10 of a shed</h3>

=============================================================

Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

1/5 = 8/40 .... multiply top and bottom by 8
5/8 = 25/40 .... multiply top and bottom by 5

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

---------------

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

$\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}$

which simplifies or cleans up to

5/x = 25/40

-----------------

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

8 0

3 years ago