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4 years ago

12

What is the missing step in solving the inequality 5-8x<2x+3

1 answer:

astraxan [27]4 years ago

6 0

Seeing this question, I don't see any steps. I will solve this problem, so you could compare my step to the steps that you have on your worksheet. Then you could see what the missing step is.
5-8x<2x+3
1) 5-8x-2x<2x-2x+3
2) 5-10x< 3
3) 5-5-10x<3-5
4)-10x<-2
5) -10x/-10> -2/-10
6) x>1/5
If you have any questions, please feel free to ask me. ;)

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In a certain year, the price of gasoline rose by 20% during January, fell by 20% during February, rose by 25% in March, and fell

satela [25.4K]

Using decimal multipliers, it is found that the value of x is of 16.67.

<h3>What is a decimal multiplier?</h3>

Increases of a% or decreases of a% re represented by decimal values, as follows:

The equivalent multiplier for an increase of a% is given by: $\frac{100 + a}{100}$

The equivalent multiplier for an decrease of a% is given by: $\frac{100 - a}{100}$

In this problem:

The price at the beginning of January was of a.

Increase of 20% in January, hence $1.2a$ .

Decrease of 20% in February, hence $1.2(0.8)a$ .

Increase of 25% in March, hence $1.2(0.8)(1.25)a$ .

Decrease of x% in April, hence $1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a$

The price of gasoline at the end of April was the same as it had been at the beginning of January, hence:

$a =1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a$

$1.2\left(\frac{100 - x}{100}\right) = 1$

$\left(\frac{100 - x}{100}\right) = \frac{1}{1.2}$

$\frac{100 - x}{100} = 0.8333$

$100 - x = 83.33$

$x = 16.67$

The value of x is of 16.67.

To learn more about decimal multipliers, you can take a look at brainly.com/question/24952336

6 0

3 years ago

32 is 40% of what is the answer

ANTONII [103]

32 is 40% of?

32/40

32 ÷ 40 = 0.8
0.8 × 100 = 80
80

32 is 40% of 80.

6 0

4 years ago

WILL GIVE BRAINLIEST!!!!! Mariah cuts a rectangle along its diagonal. Two congruent triangles are created. The two angles create

pogonyaev

Answer:

Stated Below:

Step-by-step explanation:

x + y = 90 because the 2 angles add up to 90 .

Now, m < x = five times m < y, so x = 5y or y = x/5

So the last choice is the correct one.

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3 years ago

Which of the following is equal to 2?

AnnZ [28]

Awnser is A 6+4 divided by [2+1]x3

8 0

3 years ago

Read 2 more answers

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x it

sp2606 [1]

Answer:

$P(x) = -0.004x^2 - 3.7x - 50$

Step-by-step explanation:

We have to find profit $P(x)$ .

This can be easily found using a formula for Profit given the Revenue and Cost.

$Profit = Revenue - Cost$

$P(x) = R(x) - C(x)$

Given that:

$R(x) = 6x$

$C(x) = 0.004x^2 + 2.3x + 50$

to find P(x) we can simply subtract R(x) by C(x).

$P(x) = R(x) - C(x)$

$P(x) = (6x) - (0.004x^2 + 2.3x + 50)$

$P(x) = 6x - 0.004x^2 - 2.3x - 50$

and finally, after simplify this equation subtracting 6x by 2.3x.

this is the equation for the profit $P(x)$

$P(x) = -0.004x^2 - 3.7x - 50$

3 0

3 years ago