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fomenos
3 years ago
15

Solve the two-step equation. -9x + 0.4 = 4 Which operation must be performed to move all the constants to the right side of the

equation? Then, which operation must be performed to isolate the variable? The solution to the equation is x = .
Mathematics
2 answers:
Brilliant_brown [7]3 years ago
5 0

Answer: Which operation must be performed to move all the constants to the right side of the equation? Subtract 0.4

Then, which operation must be performed to isolate the variable? Divide by -9 on both sides

The solution to the equation is x =0.4

Step-by-step explanation:

I just did it on edgen

Alexandra [31]3 years ago
4 0

Answer:

x = -0.4

Step-by-step explanation:

We have the equation:

-9x + 0.4 = 4

First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:

-9x+0.4=4\\-9x+0.4-0.4=4-0.4\\-9x=3.6

Now, we have all the constants on the right side of the equation.

Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:

-9x=3.6\\\frac{-9x}{-9} =\frac{3.6}{-9} \\x=-0.4

<h3>Thus, the answer to this equation is x= -0.4</h3>
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Avoiding an accident while driving can depend on reaction time. Suppose that reaction time, measured from the time the driver fi
Nadya [2.5K]

Answer:

2.5% of drivers have a reaction time more than 2.14 seconds

16% of drivers have a reaction time less than 1.78 seconds

84% of drivers have a reaction time less than 2.02 seconds

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

In this problem, we have that:

Mean = 1.9s

Standard deviation = 0.12

What percentage of drivers have a reaction time more than 2.14 seconds?

2.14 = 1.9 + 2*0.12

So 2.14 is two standard deviations above the mean.

Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, so, below 2.14. The other 5% is above.

0.05*0.5 = 0.025

2.5% of drivers have a reaction time more than 2.14 seconds

What percentage of drivers have a reaction time less than 1.78 seconds?

1.78 = 1.9 - 0.12

So 1.78 is one standard deviation below the mean.

Of the 50% of the measures that are below the mean, 68% are within one standard deviation of the mean, that is, greater than 1.78.

100 - 68 = 32

0.32*50 = 0.16

16% of drivers have a reaction time less than 1.78 seconds

What percentage of drivers have a reaction time less than 2.02 seconds?

2.02 = 1.9 + 0.12

So 2.02 is one standard deviation above the mean.

Of the measures that are below the mean, all are below 2.02.

Of those that are above, 68% are below 2.02.

0.5 + 0.68*0.5 = 0.84

84% of drivers have a reaction time less than 2.02 seconds

5 0
3 years ago
Select ALL the correct answers,
Alina [70]

Answer:

7,y,6, and x are the correct answers

Step-by-step explanation:

5 0
3 years ago
Harold has 2384 g of zinc for his science experiment how many kilograms of zinc does he have? PLEASE HELP I AM TAKING OVERDUE HO
UNO [17]
Harold has 2.384 kilograms of zinc

To convert grams to kg, multiply the gram value by 0.001 or divide by 1000.
3 0
3 years ago
Gena attached a dog ramp to her sofa, which allows her oldest dog to easily climb onto a seat cushion. The ramp is 55 inches lon
matrenka [14]

The distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.

<u><em>Explanation</em></u>

According to the diagram, length of the ramp is, AC= 55 inches. The top of the seat cushion is 28 inches above the floor. That means, BC=28 inches

We need to find the distance from the base of the ramp to the base of the sofa which is AB

In right angle triangle ABC, using Pythagorean theorem...

AC^2 = AB^2 + BC^2\\ \\ (55)^2= AB^2 + (28)^2 \\ \\ AB^2 = (55)^2 - (28)^2 \\ \\ AB^2 = 3025 - 784\\ \\ AB^2 = 2241\\ \\ AB = \sqrt{2241}= 47.3

So, the distance from the base of the ramp to the base of the sofa rounded to the nearest tenth is 47.3 inches.

4 0
3 years ago
Read 2 more answers
Help me out please!!!
AleksAgata [21]
1) side BD is common

2) angle ABD is equal to angle BDC (alternate angles)

3) angle CBD is equal to angle ADB (alternate angles)
5 0
3 years ago
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