Which graph represents the system of inequalities? y+2<5x y+3x>4 y≥2x

Which two values are located at the same point on a number line? 1/2 and 2 , 2/2 2 , 2/1 2 , 2/1 and 1

grandymaker [24]

Answer: $\frac{2}{2},1\ \text{and}\ \frac{2}{2},1$

Step-by-step explanation:

$\Rightarrow \dfrac{2}{2}\ \text{is equivalent to 1}$

$\text{So, }\ \dfrac{2}{2},2\ \text{is equivalent to 1,2}$

$\text{Similarly, }\ \dfrac{2}{1},1\ \text{represents 2,1 or 1,2}$

$\text{So,}\ \frac{2}{2},1\ \text{and}\ \frac{2}{2},1\ \text{are represents same on number line.}$

8 0

2 years ago

The number of hours required to do a job varies inversely as the number of people working. It takes 8 hours for 4 people to pain

dezoksy [38]

Answer: it will take 5 people 6.4 hours to do the work.

Step-by-step explanation:

The number of hours required to do a job varies inversely as the number of people working. Let h represent the number of hours required to do the job. Let p represent the number of people working. Therefore,

h is inversely proportional to p

Introducing a constant of variation, k, it means that

h = k/p

It takes 8 hours for 4 people to paint the inside of a house. Therefore

8 = k/4

k = 8×4 = 32

The formula becomes

h = 32/p

To determine how many hours it will take 5 people to do the work, we will substitute p = 5 into the formula. It becomes

h = 32/5 = 6.4 hours

7 0

2 years ago

I NEED HELP ASAP PLEASE!!!

Colt1911 [192]

Answer:

h= 2/3d

Step-by-step explanation:

slope is the change of y value on the change of x value

4/6 = 2/3

3 0

2 years ago

A cafe offers senior citizens a 15% discount off its regular price of $8.95 for the dinner buffet.

jonny [76]

a) 75 percent of the regular price is the price for senior citizens.

b) $6.712 is the price for senior citizens.

Step-by-step explanation:

The regular price is the 100% = $8.95
The offer price for senior citizen = 15% discount from 100%

∴ Percent of the regular price for senior citizens = 100% - 15% = 75%

The price for the senior citizens = 75% of $8.95

⇒ (75/100) $\times$ 8.95

⇒ 0.75 $\times$ 8.95

⇒ 6.712 dollars.

∴ The price for senior citizens = $6.712

7 0

3 years ago

the US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years. By how muc

rewona [7]

Answer:

The population growth is 6.26 per square mile per year

Step-by-step explanation:

We are given

he US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years

So,

Initial population =128.7

Final Population =191.3

Total time =10 years

now, we can find population grow per year

$=\frac{final-initial}{T}$

now, we can plug values

$=\frac{191.3-128.7}{10}$

$=6.26$

So,

The population growth is 6.26 per square mile per year

3 0

3 years ago

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