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3 years ago

What is 9 29/40 as a decimal

Mathematics

2 answers:

earnstyle [38]3 years ago

5 0

Answer:

The answer is 9.725

Step-by-step explanation:

We have been given the mixed fraction $9\frac{29}{40}$

First we will concert this to improper fraction.

$\frac{40(9)+29}{40}$

= $\frac{389}{40}$

Now we will divide this using long division or calculator and get the answer 9.725.

Verizon [17]3 years ago

3 0

Answer:

The given fraction can be written as decimal 9.725

Step-by-step explanation:

We are given the following in the question.

We are given a fraction. We have to write the fraction in decimal form.

The given fraction is:

$9\displaystyle\frac{29}{40}$

First converting the mixed fraction into improper fraction, we have:

$9\displaystyle\frac{29}{40}\\\\=\frac{40\times 9 + 29}{40} = \frac{389}{40}$

Now, we have obtained the improper fraction.

Now, we can use the long division method to perform the division.

The decimal form of the given fraction is :

$\displaystyle\frac{389}{40} = 9.725$

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3 years ago

Use the exponential function y=500(.9)^x to find the value of the video game console after 4 years.

zysi [14]

Answer:

328.05 dollars

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Step-by-step explanation:

y=500(.9)^4 =328.05

What is being asked in the problem and what does that mean?

We are asked to the price of the video game after 4 years.

What do I know and what does it mean? What plan am I going to try?

We know the initial price is $500, the value depreciates 10% each year because we have .9 or 90% of the price going into the next year.

- value of the video game after first year 90% of 500 so is 450

- value of the video game after second year 90% of 450 so is 405

-value of the video game after third year 90% of 405 so is 364.5

-value of the video game after fourth year 90% of 364.5 so is 328.05

The plan is to substitute x with 4 and calculate y, y=500(.9)^4

What is your answer and what does it mean?

The answer is $328.05, and it means that the video game that was initially worth $500 it lost its' value by 10 % each of the four years.

y= 500(.9)^x

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

x =8, y= 500(0.9)^8 = 215.234 ≈215.23, this is less than $250

x = 7, y= 500(0.9)^7 = 239.148 ≈239.15, this is less than $250

x =6, y= 500(0.9)^6 = 265.721 ≈ 265.72, this is more than $250

What is being asked in the problem and what does that mean?

We are asked to find the value of x that represents the years such that the value of the console is still under $250.

What do I know and what does it mean? What plan am I going to try?

We know the value of y has to be less that $250, we know the inequality

[500(.9)^x ] < 250, the plan is to try different values for x until we have the maximum value of x that gives us less than 250.

8 0

3 years ago

5 times what is 1590!?

levacccp [35]

To solve this all you need to do is do the opposite of multipulcation:

1590/5

Which equal 318. To check you answer do 318×5

4 0

3 years ago

Read 2 more answers

From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab

Vlad1618 [11]

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

Tan α = opposite side / adjacent side

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:

tan40 = 16/x

Solving for x

x =16/tan40

x= 19 ft

Feel free to ask for more if needed or if you did not understand something.

5 0

3 years ago