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3 years ago

Five less than four times a number is nine more than twice a number

Mathematics

2 answers:

Leokris [45]3 years ago

7 0

5-4a=9+2a
Hope this help

7nadin3 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

We do not know the number, so we will let a variable take its place. I will be using n to represent this unknown number.

n=mystery number

Now that we have a variable, we can perform operations on it. Five less than four times a number is multiplying the number by 4 and then subtracting it by 5.

4n-5

Assuming that the second part is equal to the first part, nine more than twice a number is multiplying the number by 2 and then adding 9. We can set this equal to our previous expression.

4n-5=2n+9

2n-5=9

2n=14

n=7

Solving this equation is all we have to do to find the answer.

You might be interested in

On the attached drawing what is the name for Angle LHJ? Obtuse, acute, complementary or right?

Natasha2012 [34]

Answer: Right (Last option)

Step-by-step explanation:

As you can see in the figure, the parallel lines AD and GJ are intersected by two lines.

The line EL intersects the parallel lines and there are two angles that are formed by this intersections which are located on the exterior of AD and GJ, but on opposite sides of EL, (these angles are called "Alternate exterior angles" and they are congruent), which are:

∠LHJ and ∠EBA

You can observe that the angle ∠EBA is indicated with a square. This means that the measure of that angle is 90° (Right angle).

Therefore, if ∠EBA=90°, then ∠LHJ =90°

4 0

3 years ago

Read 2 more answers

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.42 and a standard deviation of 1.52.

Roman55 [17]

Answer:

The percentage of the women have size shoes that are greater than

9.94 is 16%

Step-by-step explanation:

* Lets revise the empirical rule

- The Empirical Rule states that almost all data lies within 3 standard

deviations of the mean for a normal distribution.

- 68% of the data falls within one standard deviation.

- 95% of the data lies within two standard deviations.

- 99.7% of the data lies Within three standard deviations

* The empirical rule shows that

# 68% falls within the first standard deviation (µ ± σ)

# 95% within the first two standard deviations (µ ± 2σ)

# 99.7% within the first three standard deviations (µ ± 3σ).

* Lets solve the problem

- The shoe sizes of American women have a bell-shaped distribution

with a mean of 8.42 and a standard deviation of 1.52

∴ μ = 8.42

- The standard deviation is 1.52

∴ σ = 1.52

- One standard deviation (µ ± σ):

∵ (8.42 - 1.52) = 6.9

∵ (8.42 + 1.52) = 9.94

- Two standard deviations (µ ± 2σ):

∵ (8.42 - 2×1.52) = (8.42 - 3.04) = 5.38

∵ (8.42 + 2×1.52) = (8.42 + 3.04) = 11.46

- Three standard deviations (µ ± 3σ):

∵ (8.42 - 3×1.52) = (8.42 - 4.56) = 3.86

∵ (8.42 + 3×1.52) = (8.42 + 4.56) = 12.98

- We need to find the percent of American women have shoe sizes

that are greater than 9.94

∵ The empirical rule shows that 68% of the distribution lies

within one standard deviation in this case, from 6.9 to 9.94

∵ We need the percentage of greater than 9.94

- That means we need the area under the cure which represents more

than one standard deviation (more than 68%)

∵ The total area of the curve is 100% and the area within one standard

deviation is 68%

∴ The area greater than one standard deviation = (100 - 68)/2 = 16

∴ The percentage of the women have size shoes that are greater

than 9.94 is 16%

8 0

3 years ago

A technician charges $25 per hour plus $50 per hour for a house call to repair home computers. Make a table and a graph to show

nikitadnepr [17]

The graph starts at $75 since the price for call is $50 and 1 hour of work costs $25.

Direct variation is only noticeable at the beginning of the graph after that the function is linear.

I hope the answer helps.