Help? please- Can someone help me solve for x. Like you don't need to tell me the answer just how to. It's just a little hard for me-Thank you to anyone who helps

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Answer:

  undo what is done to the variable

Step-by-step explanation:

As with any "solve for" problem, it is a good idea to take a look at what is being done to the variable you're solving for.

Starting "as is"

Here, the value 2.5 is added to it, and the sum is multiplied by -5 (which we notice is negative).

In general, you want to "undo" what is done to the variable — in reverse order. What was done:

If we adopt that strategy, it means we first need to undo multiplication by -5. That is, we must either (a) multiply both sides by -1/5, or (b) divide both sides by -5. Either choice will require that the sense of the comparison be reversed, so you will have ...

  ( ) < (x + 2.5)

After that, you need to "undo" the addition of 2.5. That is accomplished by adding -2.5 to both sides of the equation.

__

Simplifying first

For many problems that have fractions and/or parentheses, it can work well to eliminate both before you start with your "undo" strategy. Here, a first step can be to simplify the inequality, eliminating parentheses. This means you will use the distributive property to multiply each term inside parentheses by the (negative) factor outside.

Having done that, you find the "what was done to the variable" list is slightly different:

As a consequence the "undo" steps are slightly different. Addition is still reversed by adding the opposite. Multiplication is still reversed by multiplying by the reciprocal, or by division (same thing).

As before, (and as always), what you do to one side of the inequality, you must also do to the other side. If multiplication or division by a negative number is involved, the comparison symbol must be reversed.

_____

About Negative Multiplication/Division

Above, we have noted that multiplication or division by a negative number requires reversal of the comparison symbol. For example, ...

  starting with -1 > -2

multiplying both sides by -1 gives ...

  ending with 1 < 2

__

When the (only) variable term has a negative coefficient, there is another strategy you can use that does not require the comparison to be reversed. You can add the opposite of that term to both sides of the inequality. For example, ...

  starting with -5x < -38

we can add 5x to both sides to get ...

  0 < -38 +5x . . . . . now the variable has a positive coefficient

This lets us proceed with the solution without worrying about the sense of the inequality. (Note that the variable will be "greater than" some value.)

_____

More about solving strategy

The rules that make Algebra possible are the rules of equality. If you look them up, you may find separate versions for addition, multiplication, subtraction, division. If you realize that subtraction is a form of addition, and that division is a form of multiplication, there are really only two—and those can be simplified to ONE RULE: always do the same operation on both sides of the equal sign. The same rule applies to inequalities. You will stay out of trouble if you remember and follow this rule. (There are many "shortcut" versions that go by names like "cross-multiply" and others. They are basically this rule with some steps not shown.)

When it comes to applying functions to inequalities, you need to consider carefully whether the function preserves the ordering relationship (>, ≥, <, ≤). Some functions do not, or have different behavior in different domains, so paying attention is required. Multiplication by a negative number is just the tip of the iceberg here.

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Solve 4 + x > 6. Graph the solution. A)graph1 B)graph2 C)graph3 D) graph4

The box plots below show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in December.

Gas Mileage of Cars Sold in June
2 box plots. The number line goes from 14 to 34. For cars sold in June, the whiskers range from 21 to 33, and the box ranges from 22 to 29. A line divides the box at 24. For Cars sold in December, the whiskers range from 14 to 26, and the box ranges from 18 to 21. A line divides the box at 19.
Gas Mileage of Cars Sold in December

The manager used the table below to compare the measures of center and the measures of variability.


Median
Range
Interquartile Range
Sold in June
24
33 minus 21 = 12
29 minus 22 = 7
Sold in December
19
26 minus 14 = 12
21 minus 16 = 5

What error did the manager make in the table?

12 gallons of water are used to completely fill 5 fish tanks. If each tank holds the same amount of water, how many gallons will each tank hold?

Express your answer as a mixed number.

Determine which of the following are the solutions to the equation below. x2=13

A. +/13


B.+/26


C.26


D.13

this table shows a table of the amount collected for boxes sold. Choose all amounts that could be added to this table.​

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i need help, this is over due and i need to get it done and I have no ide what I'm doing

Mark hits a tennis ball into the air. He uses the equation shown to approximate the
height, h, in feet, of the ball t seconds after he hits it.
h = -1612 + 88t + 4
What does the 4 represent in Mark's equation?
A.
The ball was in the air for a total of 4 seconds.
B.
The ball landed 4 feet away from where Mark hit it.
C.
The ball was 4 feet above the ground when Mark hit it.
D.
The ball reached its maximum height 4 seconds after Mark hit it.

Please help! How do you solve?

Meghan knows the volume of a cube and wants to calculate the surface area of the cube. Which would be the best first step for Meghan to use?

answer choices
dividing the volume by 6 to get the area of one face of the cube

dividing the volume by 4 to get the length of one side of the cube

finding the square root of the volume to get the area of one face of the cube

finding the cube root of the volume to get the length of one side of the cube

the scale of the building plans is 1in. = 4ft. a room that is 6 inches long in the drawing is actually how many feet long?

A table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided.

Help me answer image sent. (I zoomed the graph so you can see it better.)

5. Which would be a good first step to use to solve this system?



1st equation: y = 6x + 4

2nd equation: 5x + 2y = 12



A. Multiply the first equation by 2, and add the result to the second equation.

B. Substitute 5x + 12 for for y in first equation.

C. Substitute 6x + 4 for x in the second equation.

D. Substitute 6x + 4 for y in the second equation.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A circle with radius labeled 23 yards

Find the area for the circle (use 3.14 for pi). Show your work. Round to the nearest tenth.

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Plss help me 5 more...

Find the measure of ∠YOZ by answering the questions.

1. Find the measure of ∠WOV. Which angle relationship did you use?
2. Now find the measure of ∠YOZ. Which angle relationship did you use?
3. Check your answer by using another strategy to find the measure of ∠YOZ. Describe your strategy, and show that it gives the same measure for ∠YOZ.

Zach's trunk has a volume of 12 cm3.

How many 1 cm3 cubes will fit in it?
pls tell me how you got ur answer ;-;

anyone please help me

Which of the following angles can be added together to create 177°? Explain your answer using words.

Help!! check screenshot below.

Me not being a complete id.iot-

here is 1-12 of the assignment

0.5% of what number is 5

Suppose you send about 12 text messages a day, and your older sister sends more text messages than you do. Together, you send a total of about 26 messages per day. About how many text messages does she send a day? Write an equation and solve for the unknown value. (2 points)

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A lemur weighs 4.2 kilograms. How many grams does the lemur weigh? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.

42 grams
42,000 grams
420 grams
4,200 grams

Is 1 1/2 closer to 1 or 2?