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3 years ago

Which inequality matches the verbal description?

Mathematics

2 answers:

Zepler [3.9K]3 years ago

6 0

Answer:

Step-by-step explanation:

He needs ATLEAST y dollars to buy the computer.

Now, he already has 150 and is earning 14 dollars per hour for "x" hours.

So his total money would be 150 PLUS 14 multiplied by x, that is:

Total money = 150 + 14x

We know his total money would need to be ATLEAST y (or more). Thus, we can say that total money ≥ y.

We can write:

150 + 14x ≥ y

Rearranging, we can write:

y ≤ 150 + 14x

Answer choice C is right.

Shtirlitz [24]3 years ago

4 0

The value of how much he has needs to be greater than or equal to y so he has enough to make the purchase. This means that B and C are out. If he's adding the amount he already has saved and is using that towards buying the computer, it will be added which means that D is the correct answer

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The area of a regular octagon is 35 cm 2 what is the area of a regular octagon with sides three times as large

Maurinko [17]

The area of a polygon = n*side^2 / (4 * tan(180/n))
where "n" is the number of sides

Let's calculate area for side = 2
area = 8*2^2 / (4 * tan(180/8))
area = 32 / (4 * tan(22.5))
area = 32 / 4*0.41421
 area = 19.3138746047 

Now, let's calculate area for side = 6
area = 8*6^2 / (4 * tan(180/8))
area = 288 / 1.65684 
area = 173.824871442 

 173.824871442 / 19.3138746047 = 9

So, the area would be 9 times larger.

ALSO, looking at the formula
n*side^2 / (4 * tan(180/n))
we can see that the side length appears just once in the formula and we are to square it in the calculation. So, if we increase the side length is increased by 3, then the area increases by 3^2 or 9.

5 0

4 years ago

The population of a city is 250,000 and the annual growth rate is 2.2%. Write an equation to model the population y after x year

Zinaida [17]

Answer:

$y= 250000(1.022)^x$

Step-by-step explanation:

The population of a city is 250,000 and the annual growth rate is 2.2%

General equation for exponential growth is

$y= P(1+r)^x$

Where y is final population and P is the initial population

'r' is the rate of growth and x is the number of years

p = 25000 and r= 2.2%= 0.022. Replace all the values in the general equaiton

$y= P(1+r)^x$

$y= 250000(1.022)^x$

3 0

3 years ago

Today there are a total of six toll-free area codes: 800, 844, 855, 866, 877, and 888. Assume that all seven digits for the rest

Ludmilka [50]

Answer:

$6 \times 10^{7}$

Step-by-step explanation:

Total number of toll-free area codes = 6

A complete number will be of the form:

800-abc-defg

Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.

Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.

Considering: 800-abc-defg

The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.

Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:

Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = $10^{7}$